id	sid	tid	token	lemma	pos
ap-6083	1	1	acta	acta	PROPN
ap-6083	1	2	polytechnica	polytechnica	PROPN
ap-6083	1	3	https://doi.org/10.14311/ap.2021.61.0135	https://doi.org/10.14311/ap.2021.61.0135	PROPN
ap-6083	1	4	acta	acta	PROPN
ap-6083	1	5	polytechnica	polytechnica	PROPN
ap-6083	1	6	61(si):135–147	61(si):135–147	PROPN
ap-6083	1	7	,	,	PUNCT
ap-6083	1	8	2021	2021	NUM
ap-6083	1	9	©	©	ADP
ap-6083	1	10	2021	2021	NUM
ap-6083	1	11	the	the	DET
ap-6083	1	12	author(s	author(s	NOUN
ap-6083	1	13	)	)	PUNCT
ap-6083	1	14	.	.	PUNCT
ap-6083	2	1	licensed	license	VERB
ap-6083	2	2	under	under	ADP
ap-6083	2	3	a	a	DET
ap-6083	2	4	cc	cc	NOUN
ap-6083	2	5	-	-	PUNCT
ap-6083	2	6	by	by	ADP
ap-6083	2	7	4.0	4.0	NUM
ap-6083	2	8	licence	licence	NOUN
ap-6083	2	9	published	publish	VERB
ap-6083	2	10	by	by	ADP
ap-6083	2	11	the	the	DET
ap-6083	2	12	czech	czech	PROPN
ap-6083	2	13	technical	technical	PROPN
ap-6083	2	14	university	university	PROPN
ap-6083	2	15	in	in	ADP
ap-6083	2	16	prague	prague	NOUN
ap-6083	2	17	on	on	ADP
ap-6083	2	18	the	the	DET
ap-6083	2	19	use	use	NOUN
ap-6083	2	20	of	of	ADP
ap-6083	2	21	a	a	DET
ap-6083	2	22	flux	flux	NOUN
ap-6083	2	23	-	-	PUNCT
ap-6083	2	24	splitting	splitting	NOUN
ap-6083	2	25	scheme	scheme	NOUN
ap-6083	2	26	in	in	ADP
ap-6083	2	27	the	the	DET
ap-6083	2	28	numerical	numerical	ADJ
ap-6083	2	29	flutter	flutter	NOUN
ap-6083	2	30	analysis	analysis	NOUN
ap-6083	2	31	of	of	ADP
ap-6083	2	32	a	a	DET
ap-6083	2	33	low	low	ADJ
ap-6083	2	34	-	-	PUNCT
ap-6083	2	35	pressure	pressure	NOUN
ap-6083	2	36	turbine	turbine	NOUN
ap-6083	2	37	stage	stage	NOUN
ap-6083	2	38	marek	marek	PROPN
ap-6083	2	39	pátýa,∗	pátýa,∗	PROPN
ap-6083	2	40	,	,	PUNCT
ap-6083	2	41	jan	jan	PROPN
ap-6083	2	42	halamab	halamab	PROPN
ap-6083	2	43	a	a	DET
ap-6083	2	44	czech	czech	PROPN
ap-6083	2	45	technical	technical	PROPN
ap-6083	2	46	university	university	PROPN
ap-6083	2	47	in	in	ADP
ap-6083	2	48	prague	prague	PROPN
ap-6083	2	49	,	,	PUNCT
ap-6083	2	50	center	center	NOUN
ap-6083	2	51	of	of	ADP
ap-6083	2	52	advanced	advanced	ADJ
ap-6083	2	53	aerospace	aerospace	NOUN
ap-6083	2	54	technology	technology	NOUN
ap-6083	2	55	,	,	PUNCT
ap-6083	2	56	technická	technická	NOUN
ap-6083	2	57	4	4	NUM
ap-6083	2	58	,	,	PUNCT
ap-6083	2	59	16607	16607	NUM
ap-6083	2	60	,	,	PUNCT
ap-6083	2	61	prague	prague	NOUN
ap-6083	2	62	6	6	NUM
ap-6083	2	63	,	,	PUNCT
ap-6083	2	64	czech	czech	PROPN
ap-6083	2	65	republic	republic	PROPN
ap-6083	2	66	b	b	PROPN
ap-6083	2	67	czech	czech	PROPN
ap-6083	2	68	technical	technical	PROPN
ap-6083	2	69	university	university	PROPN
ap-6083	2	70	in	in	ADP
ap-6083	2	71	prague	prague	PROPN
ap-6083	2	72	,	,	PUNCT
ap-6083	2	73	faculty	faculty	NOUN
ap-6083	2	74	of	of	ADP
ap-6083	2	75	mechanical	mechanical	ADJ
ap-6083	2	76	engineering	engineering	NOUN
ap-6083	2	77	,	,	PUNCT
ap-6083	2	78	department	department	NOUN
ap-6083	2	79	of	of	ADP
ap-6083	2	80	technical	technical	ADJ
ap-6083	2	81	mathematics	mathematic	NOUN
ap-6083	2	82	,	,	PUNCT
ap-6083	2	83	technická	technická	NOUN
ap-6083	2	84	4	4	NUM
ap-6083	2	85	,	,	PUNCT
ap-6083	2	86	16607	16607	NUM
ap-6083	2	87	,	,	PUNCT
ap-6083	2	88	prague	prague	NOUN
ap-6083	2	89	6	6	NUM
ap-6083	2	90	,	,	PUNCT
ap-6083	2	91	czech	czech	PROPN
ap-6083	2	92	republic	republic	NOUN
ap-6083	2	93	∗	∗	NOUN
ap-6083	2	94	corresponding	correspond	VERB
ap-6083	2	95	author	author	NOUN
ap-6083	2	96	:	:	PUNCT
ap-6083	2	97	marek.paty@seznam.cz	marek.paty@seznam.cz	NOUN
ap-6083	2	98	abstract	abstract	ADJ
ap-6083	2	99	.	.	PUNCT
ap-6083	3	1	the	the	DET
ap-6083	3	2	endeavour	endeavour	NOUN
ap-6083	3	3	to	to	PART
ap-6083	3	4	increase	increase	VERB
ap-6083	3	5	the	the	DET
ap-6083	3	6	power	power	NOUN
ap-6083	3	7	output	output	NOUN
ap-6083	3	8	of	of	ADP
ap-6083	3	9	steam	steam	NOUN
ap-6083	3	10	turbines	turbine	NOUN
ap-6083	3	11	results	result	NOUN
ap-6083	3	12	in	in	ADP
ap-6083	3	13	the	the	DET
ap-6083	3	14	design	design	NOUN
ap-6083	3	15	of	of	ADP
ap-6083	3	16	low	low	ADJ
ap-6083	3	17	-	-	PUNCT
ap-6083	3	18	pressure	pressure	NOUN
ap-6083	3	19	stages	stage	NOUN
ap-6083	3	20	with	with	ADP
ap-6083	3	21	large	large	ADJ
ap-6083	3	22	diameters	diameter	NOUN
ap-6083	3	23	.	.	PUNCT
ap-6083	4	1	such	such	ADJ
ap-6083	4	2	designs	design	NOUN
ap-6083	4	3	,	,	PUNCT
ap-6083	4	4	featuring	feature	VERB
ap-6083	4	5	long	long	ADJ
ap-6083	4	6	and	and	CCONJ
ap-6083	4	7	thin	thin	ADJ
ap-6083	4	8	blades	blade	NOUN
ap-6083	4	9	,	,	PUNCT
ap-6083	4	10	are	be	AUX
ap-6083	4	11	increasingly	increasingly	ADV
ap-6083	4	12	susceptible	susceptible	ADJ
ap-6083	4	13	to	to	ADP
ap-6083	4	14	unfavourable	unfavourable	ADJ
ap-6083	4	15	aeroelastic	aeroelastic	ADJ
ap-6083	4	16	effects	effect	NOUN
ap-6083	4	17	.	.	PUNCT
ap-6083	5	1	the	the	DET
ap-6083	5	2	interaction	interaction	NOUN
ap-6083	5	3	of	of	ADP
ap-6083	5	4	structure	structure	NOUN
ap-6083	5	5	and	and	CCONJ
ap-6083	5	6	flow	flow	NOUN
ap-6083	5	7	may	may	AUX
ap-6083	5	8	induce	induce	VERB
ap-6083	5	9	blade	blade	NOUN
ap-6083	5	10	vibrations	vibration	NOUN
ap-6083	5	11	,	,	PUNCT
ap-6083	5	12	known	know	VERB
ap-6083	5	13	as	as	ADP
ap-6083	5	14	flutter	flutter	NOUN
ap-6083	5	15	,	,	PUNCT
ap-6083	5	16	which	which	PRON
ap-6083	5	17	act	act	VERB
ap-6083	5	18	detrimentally	detrimentally	ADV
ap-6083	5	19	on	on	ADP
ap-6083	5	20	the	the	DET
ap-6083	5	21	operational	operational	ADJ
ap-6083	5	22	life	life	NOUN
ap-6083	5	23	of	of	ADP
ap-6083	5	24	the	the	DET
ap-6083	5	25	machine	machine	NOUN
ap-6083	5	26	.	.	PUNCT
ap-6083	6	1	the	the	DET
ap-6083	6	2	present	present	ADJ
ap-6083	6	3	work	work	NOUN
ap-6083	6	4	employs	employ	VERB
ap-6083	6	5	a	a	DET
ap-6083	6	6	time	time	NOUN
ap-6083	6	7	-	-	PUNCT
ap-6083	6	8	marching	march	VERB
ap-6083	6	9	numerical	numerical	ADJ
ap-6083	6	10	simulation	simulation	NOUN
ap-6083	6	11	to	to	PART
ap-6083	6	12	investigate	investigate	VERB
ap-6083	6	13	the	the	DET
ap-6083	6	14	flutter	flutter	NOUN
ap-6083	6	15	behaviour	behaviour	NOUN
ap-6083	6	16	of	of	ADP
ap-6083	6	17	a	a	DET
ap-6083	6	18	low	low	ADJ
ap-6083	6	19	-	-	PUNCT
ap-6083	6	20	pressure	pressure	NOUN
ap-6083	6	21	transonic	transonic	ADJ
ap-6083	6	22	turbine	turbine	NOUN
ap-6083	6	23	cascade	cascade	NOUN
ap-6083	6	24	.	.	PUNCT
ap-6083	7	1	its	its	PRON
ap-6083	7	2	blades	blade	NOUN
ap-6083	7	3	are	be	AUX
ap-6083	7	4	subject	subject	ADJ
ap-6083	7	5	to	to	ADP
ap-6083	7	6	a	a	DET
ap-6083	7	7	harmonic	harmonic	ADJ
ap-6083	7	8	motion	motion	NOUN
ap-6083	7	9	based	base	VERB
ap-6083	7	10	on	on	ADP
ap-6083	7	11	the	the	DET
ap-6083	7	12	results	result	NOUN
ap-6083	7	13	of	of	ADP
ap-6083	7	14	a	a	DET
ap-6083	7	15	structural	structural	ADJ
ap-6083	7	16	analysis	analysis	NOUN
ap-6083	7	17	and	and	CCONJ
ap-6083	7	18	its	its	PRON
ap-6083	7	19	susceptibility	susceptibility	NOUN
ap-6083	7	20	to	to	PART
ap-6083	7	21	flutter	flutter	VERB
ap-6083	7	22	is	be	AUX
ap-6083	7	23	evaluated	evaluate	VERB
ap-6083	7	24	via	via	ADP
ap-6083	7	25	the	the	DET
ap-6083	7	26	energy	energy	NOUN
ap-6083	7	27	method	method	NOUN
ap-6083	7	28	.	.	PUNCT
ap-6083	8	1	the	the	DET
ap-6083	8	2	computations	computation	NOUN
ap-6083	8	3	are	be	AUX
ap-6083	8	4	performed	perform	VERB
ap-6083	8	5	with	with	ADP
ap-6083	8	6	an	an	DET
ap-6083	8	7	in	in	ADP
ap-6083	8	8	-	-	PUNCT
ap-6083	8	9	house	house	NOUN
ap-6083	8	10	finite	finite	PROPN
ap-6083	8	11	volume	volume	PROPN
ap-6083	8	12	method	method	PROPN
ap-6083	8	13	code	code	PROPN
ap-6083	8	14	.	.	PUNCT
ap-6083	9	1	the	the	DET
ap-6083	9	2	flow	flow	NOUN
ap-6083	9	3	model	model	NOUN
ap-6083	9	4	is	be	AUX
ap-6083	9	5	based	base	VERB
ap-6083	9	6	on	on	ADP
ap-6083	9	7	2d	2d	PROPN
ap-6083	9	8	euler	euler	NOUN
ap-6083	9	9	equations	equation	NOUN
ap-6083	9	10	in	in	ADP
ap-6083	9	11	arbitrary	arbitrary	ADJ
ap-6083	9	12	lagrangian	lagrangian	ADJ
ap-6083	9	13	-	-	PUNCT
ap-6083	9	14	eulerian	eulerian	ADJ
ap-6083	9	15	formulation	formulation	NOUN
ap-6083	9	16	with	with	ADP
ap-6083	9	17	the	the	DET
ap-6083	9	18	ausm+-up	ausm+-up	PROPN
ap-6083	9	19	scheme	scheme	NOUN
ap-6083	9	20	for	for	ADP
ap-6083	9	21	inviscid	inviscid	ADJ
ap-6083	9	22	flux	flux	NOUN
ap-6083	9	23	discretization	discretization	NOUN
ap-6083	9	24	.	.	PUNCT
ap-6083	10	1	a	a	DET
ap-6083	10	2	higher	high	ADJ
ap-6083	10	3	-	-	PUNCT
ap-6083	10	4	order	order	NOUN
ap-6083	10	5	spatial	spatial	ADJ
ap-6083	10	6	accuracy	accuracy	NOUN
ap-6083	10	7	is	be	AUX
ap-6083	10	8	achieved	achieve	VERB
ap-6083	10	9	by	by	ADP
ap-6083	10	10	using	use	VERB
ap-6083	10	11	a	a	DET
ap-6083	10	12	muscl	muscl	PROPN
ap-6083	10	13	approach	approach	NOUN
ap-6083	10	14	,	,	PUNCT
ap-6083	10	15	for	for	ADP
ap-6083	10	16	which	which	PRON
ap-6083	10	17	both	both	CCONJ
ap-6083	10	18	the	the	DET
ap-6083	10	19	gradient	gradient	ADJ
ap-6083	10	20	reconstruction	reconstruction	NOUN
ap-6083	10	21	and	and	CCONJ
ap-6083	10	22	the	the	DET
ap-6083	10	23	slope	slope	NOUN
ap-6083	10	24	limiting	limiting	NOUN
ap-6083	10	25	are	be	AUX
ap-6083	10	26	given	give	VERB
ap-6083	10	27	a	a	DET
ap-6083	10	28	careful	careful	ADJ
ap-6083	10	29	examination	examination	NOUN
ap-6083	10	30	-	-	PUNCT
ap-6083	10	31	by	by	ADP
ap-6083	10	32	comparing	compare	VERB
ap-6083	10	33	the	the	DET
ap-6083	10	34	convergence	convergence	NOUN
ap-6083	10	35	and	and	CCONJ
ap-6083	10	36	accuracy	accuracy	NOUN
ap-6083	10	37	of	of	ADP
ap-6083	10	38	multiple	multiple	ADJ
ap-6083	10	39	methods	method	NOUN
ap-6083	10	40	.	.	PUNCT
ap-6083	11	1	the	the	DET
ap-6083	11	2	computational	computational	ADJ
ap-6083	11	3	model	model	NOUN
ap-6083	11	4	is	be	AUX
ap-6083	11	5	validated	validate	VERB
ap-6083	11	6	by	by	ADP
ap-6083	11	7	experimental	experimental	ADJ
ap-6083	11	8	data	datum	NOUN
ap-6083	11	9	on	on	ADP
ap-6083	11	10	the	the	DET
ap-6083	11	11	fourth	fourth	ADJ
ap-6083	11	12	standard	standard	ADJ
ap-6083	11	13	configuration	configuration	NOUN
ap-6083	11	14	turbine	turbine	NOUN
ap-6083	11	15	cascade	cascade	NOUN
ap-6083	11	16	.	.	PUNCT
ap-6083	12	1	keywords	keyword	NOUN
ap-6083	12	2	:	:	PUNCT
ap-6083	12	3	turbine	turbine	NOUN
ap-6083	12	4	flutter	flutter	NOUN
ap-6083	12	5	,	,	PUNCT
ap-6083	12	6	cfd	cfd	NOUN
ap-6083	12	7	,	,	PUNCT
ap-6083	12	8	time	time	NOUN
ap-6083	12	9	-	-	PUNCT
ap-6083	12	10	marching	marching	NOUN
ap-6083	12	11	simulation	simulation	NOUN
ap-6083	12	12	,	,	PUNCT
ap-6083	12	13	gradient	gradient	ADJ
ap-6083	12	14	reconstruction	reconstruction	NOUN
ap-6083	12	15	,	,	PUNCT
ap-6083	12	16	limiters	limiter	NOUN
ap-6083	12	17	.	.	PUNCT
ap-6083	13	1	1	1	X
ap-6083	13	2	.	.	X
ap-6083	13	3	introduction	introduction	NOUN
ap-6083	13	4	the	the	DET
ap-6083	13	5	interaction	interaction	NOUN
ap-6083	13	6	of	of	ADP
ap-6083	13	7	flow	flow	NOUN
ap-6083	13	8	and	and	CCONJ
ap-6083	13	9	structure	structure	NOUN
ap-6083	13	10	leading	lead	VERB
ap-6083	13	11	to	to	ADP
ap-6083	13	12	vibrations	vibration	NOUN
ap-6083	13	13	has	have	AUX
ap-6083	13	14	long	long	ADV
ap-6083	13	15	been	be	AUX
ap-6083	13	16	recognised	recognise	VERB
ap-6083	13	17	as	as	ADP
ap-6083	13	18	one	one	NUM
ap-6083	13	19	of	of	ADP
ap-6083	13	20	the	the	DET
ap-6083	13	21	most	most	ADV
ap-6083	13	22	essential	essential	ADJ
ap-6083	13	23	problems	problem	NOUN
ap-6083	13	24	faced	face	VERB
ap-6083	13	25	by	by	ADP
ap-6083	13	26	turbine	turbine	NOUN
ap-6083	13	27	blade	blade	NOUN
ap-6083	13	28	designers	designer	NOUN
ap-6083	13	29	.	.	PUNCT
ap-6083	14	1	uncontrolled	uncontrolled	ADJ
ap-6083	14	2	oscillations	oscillation	NOUN
ap-6083	14	3	may	may	AUX
ap-6083	14	4	induce	induce	VERB
ap-6083	14	5	high	high	ADJ
ap-6083	14	6	-	-	PUNCT
ap-6083	14	7	cycle	cycle	NOUN
ap-6083	14	8	fatigue	fatigue	NOUN
ap-6083	14	9	or	or	CCONJ
ap-6083	14	10	even	even	ADV
ap-6083	14	11	a	a	DET
ap-6083	14	12	complete	complete	ADJ
ap-6083	14	13	failure	failure	NOUN
ap-6083	14	14	of	of	ADP
ap-6083	14	15	the	the	DET
ap-6083	14	16	machine	machine	NOUN
ap-6083	14	17	,	,	PUNCT
ap-6083	14	18	causing	cause	VERB
ap-6083	14	19	extensive	extensive	ADJ
ap-6083	14	20	damage	damage	NOUN
ap-6083	14	21	.	.	PUNCT
ap-6083	15	1	the	the	DET
ap-6083	15	2	demand	demand	NOUN
ap-6083	15	3	for	for	ADP
ap-6083	15	4	the	the	DET
ap-6083	15	5	higher	high	ADJ
ap-6083	15	6	power	power	NOUN
ap-6083	15	7	of	of	ADP
ap-6083	15	8	industrial	industrial	ADJ
ap-6083	15	9	steam	steam	NOUN
ap-6083	15	10	turbines	turbine	NOUN
ap-6083	15	11	leads	lead	VERB
ap-6083	15	12	to	to	ADP
ap-6083	15	13	large	large	ADJ
ap-6083	15	14	exhaust	exhaust	NOUN
ap-6083	15	15	areas	area	NOUN
ap-6083	15	16	of	of	ADP
ap-6083	15	17	the	the	DET
ap-6083	15	18	last	last	ADJ
ap-6083	15	19	low	low	ADJ
ap-6083	15	20	-	-	PUNCT
ap-6083	15	21	pressure	pressure	NOUN
ap-6083	15	22	(	(	PUNCT
ap-6083	15	23	lp	lp	NOUN
ap-6083	15	24	)	)	PUNCT
ap-6083	15	25	stages	stage	NOUN
ap-6083	15	26	with	with	ADP
ap-6083	15	27	blades	blade	NOUN
ap-6083	15	28	typically	typically	ADV
ap-6083	15	29	over	over	ADP
ap-6083	15	30	1	1	NUM
ap-6083	15	31	meter	meter	NOUN
ap-6083	15	32	in	in	ADP
ap-6083	15	33	length	length	NOUN
ap-6083	15	34	[	[	X
ap-6083	15	35	1	1	NUM
ap-6083	15	36	]	]	PUNCT
ap-6083	15	37	.	.	PUNCT
ap-6083	16	1	the	the	DET
ap-6083	16	2	aerodynamic	aerodynamic	ADJ
ap-6083	16	3	requirements	requirement	NOUN
ap-6083	16	4	,	,	PUNCT
ap-6083	16	5	especially	especially	ADV
ap-6083	16	6	in	in	ADP
ap-6083	16	7	the	the	DET
ap-6083	16	8	near	near	ADJ
ap-6083	16	9	-	-	PUNCT
ap-6083	16	10	tip	tip	NOUN
ap-6083	16	11	region	region	NOUN
ap-6083	16	12	with	with	ADP
ap-6083	16	13	highly	highly	ADV
ap-6083	16	14	supersonic	supersonic	ADJ
ap-6083	16	15	flow	flow	NOUN
ap-6083	16	16	,	,	PUNCT
ap-6083	16	17	dictate	dictate	VERB
ap-6083	16	18	that	that	SCONJ
ap-6083	16	19	the	the	DET
ap-6083	16	20	thickness	thickness	NOUN
ap-6083	16	21	of	of	ADP
ap-6083	16	22	the	the	DET
ap-6083	16	23	blades	blade	NOUN
ap-6083	16	24	is	be	AUX
ap-6083	16	25	reduced	reduce	VERB
ap-6083	16	26	.	.	PUNCT
ap-6083	17	1	as	as	ADP
ap-6083	17	2	a	a	DET
ap-6083	17	3	result	result	NOUN
ap-6083	17	4	,	,	PUNCT
ap-6083	17	5	the	the	DET
ap-6083	17	6	last	last	ADJ
ap-6083	17	7	-	-	PUNCT
ap-6083	17	8	stage	stage	NOUN
ap-6083	17	9	blades	blade	NOUN
ap-6083	17	10	become	become	VERB
ap-6083	17	11	increasingly	increasingly	ADV
ap-6083	17	12	susceptible	susceptible	ADJ
ap-6083	17	13	to	to	ADP
ap-6083	17	14	aeroelastic	aeroelastic	ADJ
ap-6083	17	15	effects	effect	NOUN
ap-6083	17	16	.	.	PUNCT
ap-6083	18	1	two	two	NUM
ap-6083	18	2	types	type	NOUN
ap-6083	18	3	of	of	ADP
ap-6083	18	4	aeroelastic	aeroelastic	ADJ
ap-6083	18	5	phenomena	phenomenon	NOUN
ap-6083	18	6	are	be	AUX
ap-6083	18	7	usually	usually	ADV
ap-6083	18	8	investigated	investigate	VERB
ap-6083	18	9	in	in	ADP
ap-6083	18	10	turbomachinery	turbomachinery	NOUN
ap-6083	18	11	:	:	PUNCT
ap-6083	18	12	forced	force	VERB
ap-6083	18	13	response	response	NOUN
ap-6083	18	14	and	and	CCONJ
ap-6083	18	15	flutter	flutter	NOUN
ap-6083	18	16	(	(	PUNCT
ap-6083	18	17	[	[	X
ap-6083	18	18	2	2	NUM
ap-6083	18	19	,	,	PUNCT
ap-6083	18	20	3	3	NUM
ap-6083	18	21	]	]	NUM
ap-6083	18	22	)	)	PUNCT
ap-6083	18	23	.	.	PUNCT
ap-6083	19	1	the	the	DET
ap-6083	19	2	former	former	ADJ
ap-6083	19	3	is	be	AUX
ap-6083	19	4	a	a	DET
ap-6083	19	5	result	result	NOUN
ap-6083	19	6	of	of	ADP
ap-6083	19	7	multiple	multiple	ADJ
ap-6083	19	8	blade	blade	NOUN
ap-6083	19	9	row	row	NOUN
ap-6083	19	10	interaction	interaction	NOUN
ap-6083	19	11	,	,	PUNCT
ap-6083	19	12	where	where	SCONJ
ap-6083	19	13	the	the	DET
ap-6083	19	14	inlet	inlet	NOUN
ap-6083	19	15	of	of	ADP
ap-6083	19	16	a	a	DET
ap-6083	19	17	downstream	downstream	ADJ
ap-6083	19	18	blade	blade	NOUN
ap-6083	19	19	row	row	NOUN
ap-6083	19	20	is	be	AUX
ap-6083	19	21	subjected	subject	VERB
ap-6083	19	22	to	to	ADP
ap-6083	19	23	a	a	DET
ap-6083	19	24	circumferentially	circumferentially	ADV
ap-6083	19	25	distorted	distort	VERB
ap-6083	19	26	flow	flow	NOUN
ap-6083	19	27	field	field	NOUN
ap-6083	19	28	coming	come	VERB
ap-6083	19	29	from	from	ADP
ap-6083	19	30	the	the	DET
ap-6083	19	31	upstream	upstream	ADJ
ap-6083	19	32	blade	blade	NOUN
ap-6083	19	33	row	row	NOUN
ap-6083	19	34	.	.	PUNCT
ap-6083	20	1	the	the	DET
ap-6083	20	2	present	present	ADJ
ap-6083	20	3	aerodynamic	aerodynamic	ADJ
ap-6083	20	4	or	or	CCONJ
ap-6083	20	5	mechanical	mechanical	ADJ
ap-6083	20	6	damping	damping	NOUN
ap-6083	20	7	is	be	AUX
ap-6083	20	8	sufficient	sufficient	ADJ
ap-6083	20	9	to	to	PART
ap-6083	20	10	keep	keep	VERB
ap-6083	20	11	the	the	DET
ap-6083	20	12	vibrations	vibration	NOUN
ap-6083	20	13	stable	stable	ADJ
ap-6083	20	14	and	and	CCONJ
ap-6083	20	15	the	the	DET
ap-6083	20	16	danger	danger	NOUN
ap-6083	20	17	of	of	ADP
ap-6083	20	18	a	a	DET
ap-6083	20	19	structural	structural	ADJ
ap-6083	20	20	failure	failure	NOUN
ap-6083	20	21	is	be	AUX
ap-6083	20	22	not	not	PART
ap-6083	20	23	imminent	imminent	ADJ
ap-6083	20	24	.	.	PUNCT
ap-6083	21	1	however	however	ADV
ap-6083	21	2	,	,	PUNCT
ap-6083	21	3	the	the	DET
ap-6083	21	4	oscillations	oscillation	NOUN
ap-6083	21	5	may	may	AUX
ap-6083	21	6	lead	lead	VERB
ap-6083	21	7	to	to	ADP
ap-6083	21	8	a	a	DET
ap-6083	21	9	low	low	ADJ
ap-6083	21	10	or	or	CCONJ
ap-6083	21	11	high	high	ADJ
ap-6083	21	12	-	-	PUNCT
ap-6083	21	13	cycle	cycle	NOUN
ap-6083	21	14	fatigue	fatigue	NOUN
ap-6083	21	15	and	and	CCONJ
ap-6083	21	16	reduce	reduce	VERB
ap-6083	21	17	considerably	considerably	ADV
ap-6083	21	18	the	the	DET
ap-6083	21	19	operational	operational	ADJ
ap-6083	21	20	life	life	NOUN
ap-6083	21	21	of	of	ADP
ap-6083	21	22	the	the	DET
ap-6083	21	23	turbine	turbine	NOUN
ap-6083	21	24	.	.	PUNCT
ap-6083	22	1	in	in	ADP
ap-6083	22	2	contrast	contrast	NOUN
ap-6083	22	3	to	to	ADP
ap-6083	22	4	a	a	DET
ap-6083	22	5	forced	force	VERB
ap-6083	22	6	response	response	NOUN
ap-6083	22	7	,	,	PUNCT
ap-6083	22	8	the	the	DET
ap-6083	22	9	flutter	flutter	NOUN
ap-6083	22	10	phenomenon	phenomenon	NOUN
ap-6083	22	11	investigated	investigate	VERB
ap-6083	22	12	in	in	ADP
ap-6083	22	13	this	this	DET
ap-6083	22	14	work	work	NOUN
ap-6083	22	15	represents	represent	VERB
ap-6083	22	16	self	self	NOUN
ap-6083	22	17	-	-	PUNCT
ap-6083	22	18	excited	excite	VERB
ap-6083	22	19	unstable	unstable	ADJ
ap-6083	22	20	oscillations	oscillation	NOUN
ap-6083	22	21	whose	whose	DET
ap-6083	22	22	magnitude	magnitude	NOUN
ap-6083	22	23	grows	grow	VERB
ap-6083	22	24	with	with	ADP
ap-6083	22	25	every	every	DET
ap-6083	22	26	cycle	cycle	NOUN
ap-6083	22	27	.	.	PUNCT
ap-6083	23	1	the	the	DET
ap-6083	23	2	fluid	fluid	ADJ
ap-6083	23	3	-	-	PUNCT
ap-6083	23	4	structure	structure	NOUN
ap-6083	23	5	interaction	interaction	NOUN
ap-6083	23	6	mechanism	mechanism	NOUN
ap-6083	23	7	is	be	AUX
ap-6083	23	8	similar	similar	ADJ
ap-6083	23	9	to	to	ADP
ap-6083	23	10	the	the	DET
ap-6083	23	11	infamous	infamous	ADJ
ap-6083	23	12	wing	wing	NOUN
ap-6083	23	13	flutter	flutter	NOUN
ap-6083	23	14	encountered	encounter	VERB
ap-6083	23	15	in	in	ADP
ap-6083	23	16	aeronautics	aeronautic	NOUN
ap-6083	23	17	,	,	PUNCT
ap-6083	23	18	but	but	CCONJ
ap-6083	23	19	with	with	ADP
ap-6083	23	20	an	an	DET
ap-6083	23	21	added	add	VERB
ap-6083	23	22	degree	degree	NOUN
ap-6083	23	23	of	of	ADP
ap-6083	23	24	complexity	complexity	NOUN
ap-6083	23	25	due	due	ADP
ap-6083	23	26	to	to	ADP
ap-6083	23	27	the	the	DET
ap-6083	23	28	interaction	interaction	NOUN
ap-6083	23	29	of	of	ADP
ap-6083	23	30	other	other	ADJ
ap-6083	23	31	blades	blade	NOUN
ap-6083	23	32	within	within	ADP
ap-6083	23	33	the	the	DET
ap-6083	23	34	blade	blade	NOUN
ap-6083	23	35	row	row	NOUN
ap-6083	23	36	.	.	PUNCT
ap-6083	24	1	aside	aside	ADV
ap-6083	24	2	from	from	ADP
ap-6083	24	3	the	the	DET
ap-6083	24	4	danger	danger	NOUN
ap-6083	24	5	of	of	ADP
ap-6083	24	6	a	a	DET
ap-6083	24	7	fatal	fatal	ADJ
ap-6083	24	8	structural	structural	ADJ
ap-6083	24	9	failure	failure	NOUN
ap-6083	24	10	,	,	PUNCT
ap-6083	24	11	flutter	flutter	NOUN
ap-6083	24	12	has	have	AUX
ap-6083	24	13	been	be	AUX
ap-6083	24	14	reported	report	VERB
ap-6083	24	15	to	to	PART
ap-6083	24	16	cause	cause	VERB
ap-6083	24	17	problems	problem	NOUN
ap-6083	24	18	such	such	ADJ
ap-6083	24	19	as	as	ADP
ap-6083	24	20	the	the	DET
ap-6083	24	21	cracking	cracking	NOUN
ap-6083	24	22	of	of	ADP
ap-6083	24	23	the	the	DET
ap-6083	24	24	blade	blade	NOUN
ap-6083	24	25	root	root	NOUN
ap-6083	25	1	[	[	X
ap-6083	25	2	4	4	NUM
ap-6083	25	3	]	]	PUNCT
ap-6083	25	4	.	.	PUNCT
ap-6083	26	1	the	the	DET
ap-6083	26	2	modelling	modelling	NOUN
ap-6083	26	3	of	of	ADP
ap-6083	26	4	flutter	flutter	NOUN
ap-6083	26	5	is	be	AUX
ap-6083	26	6	complicated	complicate	VERB
ap-6083	26	7	by	by	ADP
ap-6083	26	8	the	the	DET
ap-6083	26	9	number	number	NOUN
ap-6083	26	10	of	of	ADP
ap-6083	26	11	effects	effect	NOUN
ap-6083	26	12	which	which	PRON
ap-6083	26	13	need	need	VERB
ap-6083	26	14	to	to	PART
ap-6083	26	15	be	be	AUX
ap-6083	26	16	considered	consider	VERB
ap-6083	26	17	,	,	PUNCT
ap-6083	26	18	such	such	ADJ
ap-6083	26	19	as	as	ADP
ap-6083	26	20	the	the	DET
ap-6083	26	21	non	non	ADJ
ap-6083	26	22	-	-	ADJ
ap-6083	26	23	linear	linear	ADJ
ap-6083	26	24	behaviour	behaviour	NOUN
ap-6083	26	25	of	of	ADP
ap-6083	26	26	both	both	PRON
ap-6083	26	27	flow	flow	NOUN
ap-6083	26	28	and	and	CCONJ
ap-6083	26	29	elastic	elastic	ADJ
ap-6083	26	30	structure	structure	NOUN
ap-6083	26	31	,	,	PUNCT
ap-6083	26	32	change	change	NOUN
ap-6083	26	33	of	of	ADP
ap-6083	26	34	domain	domain	NOUN
ap-6083	26	35	and	and	CCONJ
ap-6083	26	36	mesh	mesh	NOUN
ap-6083	26	37	in	in	ADP
ap-6083	26	38	time	time	NOUN
ap-6083	26	39	,	,	PUNCT
ap-6083	26	40	flow	flow	NOUN
ap-6083	26	41	viscosity	viscosity	NOUN
ap-6083	26	42	and	and	CCONJ
ap-6083	26	43	turbulence	turbulence	NOUN
ap-6083	26	44	[	[	X
ap-6083	26	45	5	5	NUM
ap-6083	26	46	]	]	PUNCT
ap-6083	26	47	.	.	PUNCT
ap-6083	27	1	efforts	effort	NOUN
ap-6083	27	2	to	to	PART
ap-6083	27	3	restrict	restrict	VERB
ap-6083	27	4	the	the	DET
ap-6083	27	5	model	model	NOUN
ap-6083	27	6	to	to	PART
ap-6083	27	7	include	include	VERB
ap-6083	27	8	only	only	ADV
ap-6083	27	9	the	the	DET
ap-6083	27	10	most	most	ADV
ap-6083	27	11	essential	essential	ADJ
ap-6083	27	12	effects	effect	NOUN
ap-6083	27	13	have	have	AUX
ap-6083	27	14	therefore	therefore	ADV
ap-6083	27	15	been	be	AUX
ap-6083	27	16	made	make	VERB
ap-6083	27	17	,	,	PUNCT
ap-6083	27	18	such	such	ADJ
ap-6083	27	19	as	as	ADP
ap-6083	27	20	the	the	DET
ap-6083	27	21	assumption	assumption	NOUN
ap-6083	27	22	of	of	ADP
ap-6083	27	23	a	a	DET
ap-6083	27	24	potential	potential	ADJ
ap-6083	27	25	flow	flow	NOUN
ap-6083	27	26	and	and	CCONJ
ap-6083	27	27	zero	zero	NUM
ap-6083	27	28	wing	wing	NOUN
ap-6083	27	29	thickness	thickness	NOUN
ap-6083	27	30	in	in	ADP
ap-6083	27	31	the	the	DET
ap-6083	27	32	analytical	analytical	ADJ
ap-6083	27	33	model	model	NOUN
ap-6083	27	34	of	of	ADP
ap-6083	27	35	theodorsen	theodorsen	NOUN
ap-6083	27	36	[	[	X
ap-6083	27	37	6	6	NUM
ap-6083	27	38	]	]	PUNCT
ap-6083	27	39	.	.	PUNCT
ap-6083	28	1	the	the	DET
ap-6083	28	2	advent	advent	NOUN
ap-6083	28	3	of	of	ADP
ap-6083	28	4	computational	computational	ADJ
ap-6083	28	5	fluid	fluid	ADJ
ap-6083	28	6	dynamics	dynamic	NOUN
ap-6083	28	7	(	(	PUNCT
ap-6083	28	8	cfd	cfd	NOUN
ap-6083	28	9	)	)	PUNCT
ap-6083	28	10	and	and	CCONJ
ap-6083	28	11	the	the	DET
ap-6083	28	12	rise	rise	NOUN
ap-6083	28	13	in	in	ADP
ap-6083	28	14	computational	computational	ADJ
ap-6083	28	15	power	power	NOUN
ap-6083	28	16	allows	allow	VERB
ap-6083	28	17	for	for	ADP
ap-6083	28	18	treating	treat	VERB
ap-6083	28	19	aeroelasticity	aeroelasticity	NOUN
ap-6083	28	20	problems	problem	NOUN
ap-6083	28	21	with	with	ADP
ap-6083	28	22	numerical	numerical	ADJ
ap-6083	28	23	approaches	approach	NOUN
ap-6083	28	24	.	.	PUNCT
ap-6083	29	1	in	in	ADP
ap-6083	29	2	order	order	NOUN
ap-6083	29	3	to	to	PART
ap-6083	29	4	keep	keep	VERB
ap-6083	29	5	the	the	DET
ap-6083	29	6	computational	computational	ADJ
ap-6083	29	7	demands	demand	NOUN
ap-6083	29	8	reasonable	reasonable	ADJ
ap-6083	29	9	,	,	PUNCT
ap-6083	29	10	flutter	flutter	NOUN
ap-6083	29	11	was	be	AUX
ap-6083	29	12	first	first	ADV
ap-6083	29	13	modelled	model	VERB
ap-6083	29	14	by	by	ADP
ap-6083	29	15	superimposing	superimpose	VERB
ap-6083	29	16	linear	linear	ADJ
ap-6083	29	17	perturbations	perturbation	NOUN
ap-6083	29	18	to	to	ADP
ap-6083	29	19	a	a	DET
ap-6083	29	20	steady	steady	ADJ
ap-6083	29	21	-	-	PUNCT
ap-6083	29	22	state	state	NOUN
ap-6083	29	23	non	non	ADJ
ap-6083	29	24	-	-	ADJ
ap-6083	29	25	linear	linear	ADJ
ap-6083	29	26	solution	solution	NOUN
ap-6083	29	27	and	and	CCONJ
ap-6083	29	28	casting	cast	VERB
ap-6083	29	29	the	the	DET
ap-6083	29	30	equations	equation	NOUN
ap-6083	29	31	to	to	ADP
ap-6083	29	32	the	the	DET
ap-6083	29	33	frequency	frequency	NOUN
ap-6083	29	34	domain	domain	NOUN
ap-6083	29	35	.	.	PUNCT
ap-6083	30	1	however	however	ADV
ap-6083	30	2	,	,	PUNCT
ap-6083	30	3	the	the	DET
ap-6083	30	4	consideration	consideration	NOUN
ap-6083	30	5	of	of	ADP
ap-6083	30	6	nonlinear	nonlinear	ADJ
ap-6083	30	7	effects	effect	NOUN
ap-6083	30	8	,	,	PUNCT
ap-6083	30	9	such	such	ADJ
ap-6083	30	10	as	as	ADP
ap-6083	30	11	large	large	ADJ
ap-6083	30	12	amplitudes	amplitude	NOUN
ap-6083	30	13	of	of	ADP
ap-6083	30	14	blade	blade	NOUN
ap-6083	30	15	motion	motion	NOUN
ap-6083	30	16	or	or	CCONJ
ap-6083	30	17	strong	strong	ADJ
ap-6083	30	18	unsteady	unsteady	ADJ
ap-6083	30	19	shocks	shock	NOUN
ap-6083	30	20	,	,	PUNCT
ap-6083	30	21	may	may	AUX
ap-6083	30	22	be	be	AUX
ap-6083	30	23	crucial	crucial	ADJ
ap-6083	30	24	for	for	ADP
ap-6083	30	25	the	the	DET
ap-6083	30	26	accuracy	accuracy	NOUN
ap-6083	30	27	of	of	ADP
ap-6083	30	28	the	the	DET
ap-6083	30	29	solution	solution	NOUN
ap-6083	30	30	(	(	PUNCT
ap-6083	30	31	[	[	X
ap-6083	30	32	7	7	NUM
ap-6083	30	33	,	,	PUNCT
ap-6083	30	34	8	8	NUM
ap-6083	30	35	]	]	NUM
ap-6083	30	36	)	)	PUNCT
ap-6083	30	37	,	,	PUNCT
ap-6083	30	38	which	which	PRON
ap-6083	30	39	was	be	AUX
ap-6083	30	40	addressed	address	VERB
ap-6083	30	41	by	by	ADP
ap-6083	30	42	the	the	DET
ap-6083	30	43	non	non	ADJ
ap-6083	30	44	-	-	ADJ
ap-6083	30	45	linear	linear	ADJ
ap-6083	30	46	harmonics	harmonic	NOUN
ap-6083	30	47	(	(	PUNCT
ap-6083	30	48	nlh	nlh	PROPN
ap-6083	30	49	)	)	PUNCT
ap-6083	30	50	method	method	NOUN
ap-6083	30	51	introduced	introduce	VERB
ap-6083	30	52	by	by	ADP
ap-6083	30	53	ning	ning	NOUN
ap-6083	30	54	and	and	CCONJ
ap-6083	30	55	he	he	PRON
ap-6083	31	1	[	[	X
ap-6083	31	2	9	9	NUM
ap-6083	31	3	]	]	PUNCT
ap-6083	31	4	.	.	PUNCT
ap-6083	32	1	135	135	NUM
ap-6083	32	2	https://doi.org/10.14311/ap.2021.61.0135	https://doi.org/10.14311/ap.2021.61.0135	PROPN
ap-6083	32	3	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
ap-6083	32	4	https://www.cvut.cz/en	https://www.cvut.cz/en	PROPN
ap-6083	32	5	marek	marek	PROPN
ap-6083	32	6	pátý	pátý	PROPN
ap-6083	32	7	,	,	PUNCT
ap-6083	32	8	jan	jan	PROPN
ap-6083	32	9	halama	halama	PROPN
ap-6083	32	10	acta	acta	PROPN
ap-6083	32	11	polytechnica	polytechnica	PROPN
ap-6083	32	12	the	the	DET
ap-6083	32	13	inherent	inherent	ADJ
ap-6083	32	14	limitation	limitation	NOUN
ap-6083	32	15	of	of	ADP
ap-6083	32	16	the	the	DET
ap-6083	32	17	frequency	frequency	NOUN
ap-6083	32	18	-	-	PUNCT
ap-6083	32	19	domain	domain	NOUN
ap-6083	32	20	based	base	VERB
ap-6083	32	21	methods	method	NOUN
ap-6083	32	22	is	be	AUX
ap-6083	32	23	the	the	DET
ap-6083	32	24	inclusion	inclusion	NOUN
ap-6083	32	25	of	of	ADP
ap-6083	32	26	only	only	ADV
ap-6083	32	27	a	a	DET
ap-6083	32	28	few	few	ADJ
ap-6083	32	29	select	select	ADJ
ap-6083	32	30	harmonics	harmonic	NOUN
ap-6083	32	31	in	in	ADP
ap-6083	32	32	the	the	DET
ap-6083	32	33	unsteady	unsteady	ADJ
ap-6083	32	34	solution	solution	NOUN
ap-6083	32	35	.	.	PUNCT
ap-6083	33	1	the	the	DET
ap-6083	33	2	unsteady	unsteady	ADJ
ap-6083	33	3	fluid	fluid	ADJ
ap-6083	33	4	-	-	PUNCT
ap-6083	33	5	structure	structure	NOUN
ap-6083	33	6	interaction	interaction	NOUN
ap-6083	33	7	may	may	AUX
ap-6083	33	8	be	be	AUX
ap-6083	33	9	resolved	resolve	VERB
ap-6083	33	10	fully	fully	ADV
ap-6083	33	11	by	by	ADP
ap-6083	33	12	time	time	NOUN
ap-6083	33	13	-	-	PUNCT
ap-6083	33	14	marching	marching	NOUN
ap-6083	33	15	methods	method	NOUN
ap-6083	33	16	,	,	PUNCT
ap-6083	33	17	employing	employ	VERB
ap-6083	33	18	often	often	ADV
ap-6083	33	19	the	the	DET
ap-6083	33	20	arbitrary	arbitrary	ADJ
ap-6083	33	21	lagrangian	lagrangian	ADJ
ap-6083	33	22	-	-	PUNCT
ap-6083	33	23	eulerian	eulerian	ADJ
ap-6083	33	24	(	(	PUNCT
ap-6083	33	25	ale	ale	NOUN
ap-6083	33	26	)	)	PUNCT
ap-6083	33	27	formulation	formulation	NOUN
ap-6083	33	28	to	to	PART
ap-6083	33	29	allow	allow	VERB
ap-6083	33	30	a	a	DET
ap-6083	33	31	deformation	deformation	NOUN
ap-6083	33	32	of	of	ADP
ap-6083	33	33	the	the	DET
ap-6083	33	34	physical	physical	ADJ
ap-6083	33	35	domain	domain	NOUN
ap-6083	33	36	independent	independent	ADJ
ap-6083	33	37	of	of	ADP
ap-6083	33	38	the	the	DET
ap-6083	33	39	fluid	fluid	ADJ
ap-6083	33	40	particle	particle	NOUN
ap-6083	33	41	motion	motion	NOUN
ap-6083	33	42	(	(	PUNCT
ap-6083	33	43	[	[	X
ap-6083	33	44	10–12	10–12	NUM
ap-6083	33	45	]	]	PUNCT
ap-6083	33	46	)	)	PUNCT
ap-6083	33	47	.	.	PUNCT
ap-6083	34	1	the	the	DET
ap-6083	34	2	solution	solution	NOUN
ap-6083	34	3	of	of	ADP
ap-6083	34	4	the	the	DET
ap-6083	34	5	complete	complete	ADJ
ap-6083	34	6	fluid	fluid	NOUN
ap-6083	34	7	-	-	PUNCT
ap-6083	34	8	structure	structure	NOUN
ap-6083	34	9	problem	problem	NOUN
ap-6083	34	10	is	be	AUX
ap-6083	34	11	complicated	complicate	VERB
ap-6083	34	12	by	by	ADP
ap-6083	34	13	the	the	DET
ap-6083	34	14	incompatibility	incompatibility	NOUN
ap-6083	34	15	of	of	ADP
ap-6083	34	16	approaches	approach	NOUN
ap-6083	34	17	used	use	VERB
ap-6083	34	18	traditionally	traditionally	ADV
ap-6083	34	19	for	for	ADP
ap-6083	34	20	the	the	DET
ap-6083	34	21	treatment	treatment	NOUN
ap-6083	34	22	of	of	ADP
ap-6083	34	23	isolated	isolated	ADJ
ap-6083	34	24	structure	structure	NOUN
ap-6083	34	25	and	and	CCONJ
ap-6083	34	26	fluid	fluid	ADJ
ap-6083	34	27	dynamics	dynamic	NOUN
ap-6083	34	28	problems	problem	NOUN
ap-6083	34	29	.	.	PUNCT
ap-6083	35	1	typically	typically	ADV
ap-6083	35	2	,	,	PUNCT
ap-6083	35	3	cfd	cfd	NOUN
ap-6083	35	4	is	be	AUX
ap-6083	35	5	solved	solve	VERB
ap-6083	35	6	with	with	ADP
ap-6083	35	7	finite	finite	ADJ
ap-6083	35	8	volume	volume	NOUN
ap-6083	35	9	methods	method	NOUN
ap-6083	35	10	(	(	PUNCT
ap-6083	35	11	fvm	fvm	ADV
ap-6083	35	12	)	)	PUNCT
ap-6083	35	13	and	and	CCONJ
ap-6083	35	14	computational	computational	ADJ
ap-6083	35	15	structural	structural	ADJ
ap-6083	35	16	mechanics	mechanic	NOUN
ap-6083	35	17	(	(	PUNCT
ap-6083	35	18	csm	csm	PROPN
ap-6083	35	19	)	)	PUNCT
ap-6083	35	20	with	with	ADP
ap-6083	35	21	finite	finite	ADJ
ap-6083	35	22	element	element	NOUN
ap-6083	35	23	methods	method	NOUN
ap-6083	35	24	(	(	PUNCT
ap-6083	35	25	fem	fem	PROPN
ap-6083	35	26	)	)	PUNCT
ap-6083	35	27	,	,	PUNCT
ap-6083	35	28	differing	differ	VERB
ap-6083	35	29	in	in	ADP
ap-6083	35	30	solution	solution	NOUN
ap-6083	35	31	and	and	CCONJ
ap-6083	35	32	discretization	discretization	NOUN
ap-6083	35	33	techniques	technique	NOUN
ap-6083	35	34	[	[	X
ap-6083	35	35	13	13	NUM
ap-6083	35	36	]	]	PUNCT
ap-6083	35	37	.	.	PUNCT
ap-6083	36	1	therefore	therefore	ADV
ap-6083	36	2	,	,	PUNCT
ap-6083	36	3	it	it	PRON
ap-6083	36	4	is	be	AUX
ap-6083	36	5	often	often	ADV
ap-6083	36	6	simplified	simplify	VERB
ap-6083	36	7	by	by	ADP
ap-6083	36	8	imposing	impose	VERB
ap-6083	36	9	only	only	ADV
ap-6083	36	10	a	a	DET
ap-6083	36	11	one	one	NUM
ap-6083	36	12	-	-	PUNCT
ap-6083	36	13	way	way	NOUN
ap-6083	36	14	coupling	coupling	NOUN
ap-6083	36	15	between	between	ADP
ap-6083	36	16	the	the	DET
ap-6083	36	17	fluid	fluid	ADJ
ap-6083	36	18	and	and	CCONJ
ap-6083	36	19	structural	structural	ADJ
ap-6083	36	20	dynamics	dynamic	NOUN
ap-6083	36	21	.	.	PUNCT
ap-6083	37	1	it	it	PRON
ap-6083	37	2	is	be	AUX
ap-6083	37	3	assumed	assume	VERB
ap-6083	37	4	that	that	SCONJ
ap-6083	37	5	the	the	DET
ap-6083	37	6	effect	effect	NOUN
ap-6083	37	7	of	of	ADP
ap-6083	37	8	aerodynamic	aerodynamic	ADJ
ap-6083	37	9	forces	force	NOUN
ap-6083	37	10	on	on	ADP
ap-6083	37	11	the	the	DET
ap-6083	37	12	change	change	NOUN
ap-6083	37	13	of	of	ADP
ap-6083	37	14	the	the	DET
ap-6083	37	15	structural	structural	ADJ
ap-6083	37	16	dynamic	dynamic	ADJ
ap-6083	37	17	properties	property	NOUN
ap-6083	37	18	can	can	AUX
ap-6083	37	19	be	be	AUX
ap-6083	37	20	neglected	neglect	VERB
ap-6083	37	21	in	in	ADP
ap-6083	37	22	turbomachinery	turbomachinery	NOUN
ap-6083	37	23	thanks	thank	NOUN
ap-6083	37	24	to	to	ADP
ap-6083	37	25	the	the	DET
ap-6083	37	26	large	large	ADJ
ap-6083	37	27	density	density	NOUN
ap-6083	37	28	ratio	ratio	NOUN
ap-6083	37	29	between	between	ADP
ap-6083	37	30	fluid	fluid	NOUN
ap-6083	37	31	and	and	CCONJ
ap-6083	37	32	structure	structure	NOUN
ap-6083	37	33	.	.	PUNCT
ap-6083	38	1	the	the	DET
ap-6083	38	2	blade	blade	NOUN
ap-6083	38	3	eigenmodes	eigenmode	NOUN
ap-6083	38	4	and	and	CCONJ
ap-6083	38	5	eigenfrequencies	eigenfrequencie	NOUN
ap-6083	38	6	are	be	AUX
ap-6083	38	7	determined	determine	VERB
ap-6083	38	8	in	in	ADP
ap-6083	38	9	advance	advance	NOUN
ap-6083	38	10	in	in	ADP
ap-6083	38	11	a	a	DET
ap-6083	38	12	structural	structural	ADJ
ap-6083	38	13	solver	solver	NOUN
ap-6083	38	14	and	and	CCONJ
ap-6083	38	15	they	they	PRON
ap-6083	38	16	are	be	AUX
ap-6083	38	17	used	use	VERB
ap-6083	38	18	to	to	PART
ap-6083	38	19	prescribe	prescribe	VERB
ap-6083	38	20	its	its	PRON
ap-6083	38	21	motion	motion	NOUN
ap-6083	38	22	in	in	ADP
ap-6083	38	23	an	an	DET
ap-6083	38	24	unsteady	unsteady	ADJ
ap-6083	38	25	fluid	fluid	ADJ
ap-6083	38	26	dynamics	dynamic	NOUN
ap-6083	38	27	solver	solver	ADV
ap-6083	38	28	(	(	PUNCT
ap-6083	38	29	[	[	X
ap-6083	38	30	2	2	NUM
ap-6083	38	31	,	,	PUNCT
ap-6083	38	32	7	7	NUM
ap-6083	38	33	,	,	PUNCT
ap-6083	38	34	14	14	NUM
ap-6083	38	35	,	,	PUNCT
ap-6083	38	36	15	15	NUM
ap-6083	38	37	]	]	NUM
ap-6083	38	38	)	)	PUNCT
ap-6083	38	39	.	.	PUNCT
ap-6083	39	1	the	the	DET
ap-6083	39	2	motion	motion	NOUN
ap-6083	39	3	of	of	ADP
ap-6083	39	4	the	the	DET
ap-6083	39	5	neighbouring	neighbouring	ADJ
ap-6083	39	6	blades	blade	NOUN
ap-6083	39	7	is	be	AUX
ap-6083	39	8	not	not	PART
ap-6083	39	9	necessarily	necessarily	ADV
ap-6083	39	10	in	in	ADP
ap-6083	39	11	phase	phase	NOUN
ap-6083	39	12	and	and	CCONJ
ap-6083	39	13	usually	usually	ADV
ap-6083	39	14	a	a	DET
ap-6083	39	15	range	range	NOUN
ap-6083	39	16	of	of	ADP
ap-6083	39	17	inter	inter	ADJ
ap-6083	39	18	-	-	ADJ
ap-6083	39	19	blade	blade	ADJ
ap-6083	39	20	phase	phase	NOUN
ap-6083	39	21	angles	angle	NOUN
ap-6083	39	22	(	(	PUNCT
ap-6083	39	23	ibpas	ibpas	NOUN
ap-6083	39	24	)	)	PUNCT
ap-6083	39	25	is	be	AUX
ap-6083	39	26	considered	consider	VERB
ap-6083	39	27	.	.	PUNCT
ap-6083	40	1	for	for	ADP
ap-6083	40	2	each	each	DET
ap-6083	40	3	ibpa	ibpa	NOUN
ap-6083	40	4	,	,	PUNCT
ap-6083	40	5	the	the	DET
ap-6083	40	6	unsteady	unsteady	ADJ
ap-6083	40	7	aerodynamic	aerodynamic	ADJ
ap-6083	40	8	load	load	NOUN
ap-6083	40	9	on	on	ADP
ap-6083	40	10	the	the	DET
ap-6083	40	11	blade	blade	NOUN
ap-6083	40	12	surface	surface	NOUN
ap-6083	40	13	during	during	ADP
ap-6083	40	14	one	one	NUM
ap-6083	40	15	cycle	cycle	NOUN
ap-6083	40	16	is	be	AUX
ap-6083	40	17	extracted	extract	VERB
ap-6083	40	18	and	and	CCONJ
ap-6083	40	19	expressed	express	VERB
ap-6083	40	20	by	by	ADP
ap-6083	40	21	the	the	DET
ap-6083	40	22	aerodynamic	aerodynamic	ADJ
ap-6083	40	23	damping	damp	VERB
ap-6083	40	24	coefficient	coefficient	NOUN
ap-6083	40	25	.	.	PUNCT
ap-6083	41	1	the	the	DET
ap-6083	41	2	susceptibility	susceptibility	NOUN
ap-6083	41	3	to	to	PART
ap-6083	41	4	flutter	flutter	VERB
ap-6083	41	5	is	be	AUX
ap-6083	41	6	then	then	ADV
ap-6083	41	7	evaluated	evaluate	VERB
ap-6083	41	8	by	by	ADP
ap-6083	41	9	comparing	compare	VERB
ap-6083	41	10	the	the	DET
ap-6083	41	11	present	present	ADJ
ap-6083	41	12	aerodynamic	aerodynamic	ADJ
ap-6083	41	13	and	and	CCONJ
ap-6083	41	14	mechanical	mechanical	ADJ
ap-6083	41	15	damping	damping	NOUN
ap-6083	41	16	.	.	PUNCT
ap-6083	42	1	this	this	DET
ap-6083	42	2	approach	approach	NOUN
ap-6083	42	3	is	be	AUX
ap-6083	42	4	commonly	commonly	ADV
ap-6083	42	5	called	call	VERB
ap-6083	42	6	the	the	DET
ap-6083	42	7	energy	energy	NOUN
ap-6083	42	8	method	method	NOUN
ap-6083	42	9	[	[	X
ap-6083	42	10	3	3	NUM
ap-6083	42	11	]	]	PUNCT
ap-6083	42	12	.	.	PUNCT
ap-6083	43	1	although	although	SCONJ
ap-6083	43	2	several	several	ADJ
ap-6083	43	3	efforts	effort	NOUN
ap-6083	43	4	have	have	AUX
ap-6083	43	5	been	be	AUX
ap-6083	43	6	made	make	VERB
ap-6083	43	7	to	to	PART
ap-6083	43	8	include	include	VERB
ap-6083	43	9	the	the	DET
ap-6083	43	10	full	full	ADJ
ap-6083	43	11	two	two	NUM
ap-6083	43	12	-	-	PUNCT
ap-6083	43	13	way	way	NOUN
ap-6083	43	14	coupling	coupling	NOUN
ap-6083	43	15	(	(	PUNCT
ap-6083	43	16	[	[	X
ap-6083	43	17	16–18	16–18	NUM
ap-6083	43	18	]	]	PUNCT
ap-6083	43	19	)	)	PUNCT
ap-6083	43	20	,	,	PUNCT
ap-6083	43	21	the	the	DET
ap-6083	43	22	energy	energy	NOUN
ap-6083	43	23	method	method	NOUN
ap-6083	43	24	is	be	AUX
ap-6083	43	25	a	a	DET
ap-6083	43	26	well	well	ADV
ap-6083	43	27	-	-	PUNCT
ap-6083	43	28	proved	prove	VERB
ap-6083	43	29	tool	tool	NOUN
ap-6083	43	30	for	for	ADP
ap-6083	43	31	flutter	flutter	NOUN
ap-6083	43	32	analysis	analysis	NOUN
ap-6083	43	33	[	[	X
ap-6083	43	34	15	15	NUM
ap-6083	43	35	]	]	PUNCT
ap-6083	43	36	and	and	CCONJ
ap-6083	43	37	it	it	PRON
ap-6083	43	38	is	be	AUX
ap-6083	43	39	employed	employ	VERB
ap-6083	43	40	in	in	ADP
ap-6083	43	41	this	this	DET
ap-6083	43	42	work	work	NOUN
ap-6083	43	43	.	.	PUNCT
ap-6083	44	1	the	the	DET
ap-6083	44	2	transonic	transonic	ADJ
ap-6083	44	3	or	or	CCONJ
ap-6083	44	4	supersonic	supersonic	ADJ
ap-6083	44	5	flow	flow	NOUN
ap-6083	44	6	-	-	PUNCT
ap-6083	44	7	field	field	NOUN
ap-6083	44	8	in	in	ADP
ap-6083	44	9	the	the	DET
ap-6083	44	10	last	last	ADJ
ap-6083	44	11	stages	stage	NOUN
ap-6083	44	12	of	of	ADP
ap-6083	44	13	steam	steam	NOUN
ap-6083	44	14	turbines	turbine	NOUN
ap-6083	44	15	is	be	AUX
ap-6083	44	16	often	often	ADV
ap-6083	44	17	characterised	characterise	VERB
ap-6083	44	18	by	by	ADP
ap-6083	44	19	a	a	DET
ap-6083	44	20	complex	complex	ADJ
ap-6083	44	21	shock	shock	NOUN
ap-6083	44	22	pattern	pattern	NOUN
ap-6083	44	23	.	.	PUNCT
ap-6083	45	1	this	this	PRON
ap-6083	45	2	requires	require	VERB
ap-6083	45	3	that	that	SCONJ
ap-6083	45	4	the	the	DET
ap-6083	45	5	numerical	numerical	ADJ
ap-6083	45	6	scheme	scheme	NOUN
ap-6083	45	7	,	,	PUNCT
ap-6083	45	8	which	which	PRON
ap-6083	45	9	is	be	AUX
ap-6083	45	10	employed	employ	VERB
ap-6083	45	11	for	for	ADP
ap-6083	45	12	the	the	DET
ap-6083	45	13	inviscid	inviscid	ADJ
ap-6083	45	14	flux	flux	NOUN
ap-6083	45	15	approximation	approximation	NOUN
ap-6083	45	16	in	in	ADP
ap-6083	45	17	the	the	DET
ap-6083	45	18	fvm	fvm	NOUN
ap-6083	45	19	,	,	PUNCT
ap-6083	45	20	is	be	AUX
ap-6083	45	21	capable	capable	ADJ
ap-6083	45	22	of	of	ADP
ap-6083	45	23	capturing	capture	VERB
ap-6083	45	24	the	the	DET
ap-6083	45	25	shockwaves	shockwave	NOUN
ap-6083	45	26	sharply	sharply	ADV
ap-6083	45	27	,	,	PUNCT
ap-6083	45	28	such	such	ADJ
ap-6083	45	29	as	as	ADP
ap-6083	45	30	the	the	DET
ap-6083	45	31	flux	flux	NOUN
ap-6083	45	32	-	-	PUNCT
ap-6083	45	33	splitting	split	VERB
ap-6083	45	34	scheme	scheme	NOUN
ap-6083	45	35	ausm	ausm	NOUN
ap-6083	45	36	devised	devise	VERB
ap-6083	45	37	by	by	ADP
ap-6083	45	38	liou	liou	NOUN
ap-6083	45	39	and	and	CCONJ
ap-6083	45	40	steffen	steffen	PROPN
ap-6083	46	1	[	[	X
ap-6083	46	2	19	19	NUM
ap-6083	46	3	]	]	PUNCT
ap-6083	46	4	.	.	PUNCT
ap-6083	47	1	in	in	ADP
ap-6083	47	2	order	order	NOUN
ap-6083	47	3	to	to	PART
ap-6083	47	4	achieve	achieve	VERB
ap-6083	47	5	a	a	DET
ap-6083	47	6	sufficient	sufficient	ADJ
ap-6083	47	7	resolution	resolution	NOUN
ap-6083	47	8	of	of	ADP
ap-6083	47	9	the	the	DET
ap-6083	47	10	flow	flow	NOUN
ap-6083	47	11	features	feature	NOUN
ap-6083	47	12	,	,	PUNCT
ap-6083	47	13	many	many	ADJ
ap-6083	47	14	fvm	fvm	ADJ
ap-6083	47	15	strategies	strategy	NOUN
ap-6083	47	16	include	include	VERB
ap-6083	47	17	a	a	DET
ap-6083	47	18	gradient	gradient	ADJ
ap-6083	47	19	reconstruction	reconstruction	NOUN
ap-6083	47	20	step	step	NOUN
ap-6083	47	21	providing	provide	VERB
ap-6083	47	22	a	a	DET
ap-6083	47	23	higher	high	ADJ
ap-6083	47	24	spatial	spatial	ADJ
ap-6083	47	25	order	order	NOUN
ap-6083	47	26	of	of	ADP
ap-6083	47	27	accuracy	accuracy	NOUN
ap-6083	47	28	.	.	PUNCT
ap-6083	48	1	the	the	DET
ap-6083	48	2	techniques	technique	NOUN
ap-6083	48	3	are	be	AUX
ap-6083	48	4	often	often	ADV
ap-6083	48	5	based	base	VERB
ap-6083	48	6	on	on	ADP
ap-6083	48	7	the	the	DET
ap-6083	48	8	monotone	monotone	ADJ
ap-6083	48	9	upstream	upstream	NOUN
ap-6083	48	10	-	-	PUNCT
ap-6083	48	11	centered	center	VERB
ap-6083	48	12	schemes	scheme	NOUN
ap-6083	48	13	for	for	ADP
ap-6083	48	14	conservation	conservation	NOUN
ap-6083	48	15	laws	law	NOUN
ap-6083	48	16	(	(	PUNCT
ap-6083	48	17	muscl	muscl	NOUN
ap-6083	48	18	)	)	PUNCT
ap-6083	48	19	approach	approach	NOUN
ap-6083	48	20	[	[	X
ap-6083	48	21	20	20	NUM
ap-6083	48	22	]	]	PUNCT
ap-6083	48	23	,	,	PUNCT
ap-6083	48	24	comprising	comprising	NOUN
ap-6083	48	25	of	of	ADP
ap-6083	48	26	two	two	NUM
ap-6083	48	27	stages	stage	NOUN
ap-6083	48	28	:	:	PUNCT
ap-6083	48	29	firstly	firstly	ADV
ap-6083	48	30	,	,	PUNCT
ap-6083	48	31	the	the	DET
ap-6083	48	32	cell	cell	NOUN
ap-6083	48	33	-	-	PUNCT
ap-6083	48	34	wise	wise	ADJ
ap-6083	48	35	constant	constant	ADJ
ap-6083	48	36	values	value	NOUN
ap-6083	48	37	from	from	ADP
ap-6083	48	38	neighbouring	neighbouring	ADJ
ap-6083	48	39	finite	finite	ADJ
ap-6083	48	40	volumes	volume	NOUN
ap-6083	48	41	are	be	AUX
ap-6083	48	42	used	use	VERB
ap-6083	48	43	to	to	PART
ap-6083	48	44	reconstruct	reconstruct	VERB
ap-6083	48	45	the	the	DET
ap-6083	48	46	local	local	ADJ
ap-6083	48	47	gradient	gradient	NOUN
ap-6083	48	48	in	in	ADP
ap-6083	48	49	each	each	DET
ap-6083	48	50	cell	cell	NOUN
ap-6083	48	51	and	and	CCONJ
ap-6083	48	52	secondly	secondly	ADV
ap-6083	48	53	,	,	PUNCT
ap-6083	48	54	the	the	DET
ap-6083	48	55	slope	slope	NOUN
ap-6083	48	56	is	be	AUX
ap-6083	48	57	limited	limit	VERB
ap-6083	48	58	to	to	PART
ap-6083	48	59	prevent	prevent	VERB
ap-6083	48	60	spurious	spurious	ADJ
ap-6083	48	61	oscillations	oscillation	NOUN
ap-6083	48	62	at	at	ADP
ap-6083	48	63	the	the	DET
ap-6083	48	64	points	point	NOUN
ap-6083	48	65	of	of	ADP
ap-6083	48	66	local	local	ADJ
ap-6083	48	67	discontinuities	discontinuity	NOUN
ap-6083	49	1	[	[	X
ap-6083	49	2	21	21	NUM
ap-6083	49	3	]	]	PUNCT
ap-6083	49	4	.	.	PUNCT
ap-6083	50	1	there	there	PRON
ap-6083	50	2	exists	exist	VERB
ap-6083	50	3	a	a	DET
ap-6083	50	4	plethora	plethora	NOUN
ap-6083	50	5	of	of	ADP
ap-6083	50	6	techniques	technique	NOUN
ap-6083	50	7	for	for	ADP
ap-6083	50	8	implementing	implement	VERB
ap-6083	50	9	the	the	DET
ap-6083	50	10	muscl	muscl	ADJ
ap-6083	50	11	-	-	PUNCT
ap-6083	50	12	type	type	NOUN
ap-6083	50	13	reconstruction	reconstruction	NOUN
ap-6083	50	14	,	,	PUNCT
ap-6083	50	15	and	and	CCONJ
ap-6083	50	16	although	although	SCONJ
ap-6083	50	17	this	this	DET
ap-6083	50	18	approach	approach	NOUN
ap-6083	50	19	has	have	AUX
ap-6083	50	20	become	become	VERB
ap-6083	50	21	a	a	DET
ap-6083	50	22	routine	routine	ADJ
ap-6083	50	23	practise	practise	NOUN
ap-6083	50	24	in	in	ADP
ap-6083	50	25	cfd	cfd	NOUN
ap-6083	50	26	,	,	PUNCT
ap-6083	50	27	there	there	PRON
ap-6083	50	28	is	be	VERB
ap-6083	50	29	no	no	DET
ap-6083	50	30	general	general	ADJ
ap-6083	50	31	agreement	agreement	NOUN
ap-6083	50	32	regarding	regard	VERB
ap-6083	50	33	which	which	PRON
ap-6083	50	34	one	one	NOUN
ap-6083	50	35	is	be	AUX
ap-6083	50	36	the	the	DET
ap-6083	50	37	most	most	ADV
ap-6083	50	38	suitable	suitable	ADJ
ap-6083	50	39	.	.	PUNCT
ap-6083	51	1	in	in	ADP
ap-6083	51	2	the	the	DET
ap-6083	51	3	first	first	ADJ
ap-6083	51	4	step	step	NOUN
ap-6083	51	5	,	,	PUNCT
ap-6083	51	6	the	the	DET
ap-6083	51	7	cell	cell	NOUN
ap-6083	51	8	-	-	PUNCT
ap-6083	51	9	average	average	NOUN
ap-6083	51	10	values	value	NOUN
ap-6083	51	11	from	from	ADP
ap-6083	51	12	the	the	DET
ap-6083	51	13	standard	standard	ADJ
ap-6083	51	14	fvm	fvm	ADJ
ap-6083	51	15	representation	representation	NOUN
ap-6083	51	16	are	be	AUX
ap-6083	51	17	employed	employ	VERB
ap-6083	51	18	to	to	PART
ap-6083	51	19	reconstruct	reconstruct	VERB
ap-6083	51	20	gradients	gradient	NOUN
ap-6083	51	21	in	in	ADP
ap-6083	51	22	each	each	DET
ap-6083	51	23	cell	cell	NOUN
ap-6083	51	24	.	.	PUNCT
ap-6083	52	1	this	this	PRON
ap-6083	52	2	is	be	AUX
ap-6083	52	3	most	most	ADV
ap-6083	52	4	commonly	commonly	ADV
ap-6083	52	5	performed	perform	VERB
ap-6083	52	6	using	use	VERB
ap-6083	52	7	either	either	CCONJ
ap-6083	52	8	a	a	DET
ap-6083	52	9	greengauss	greengauss	ADJ
ap-6083	52	10	(	(	PUNCT
ap-6083	52	11	gg	gg	NOUN
ap-6083	52	12	)	)	PUNCT
ap-6083	52	13	method	method	NOUN
ap-6083	52	14	,	,	PUNCT
ap-6083	52	15	or	or	CCONJ
ap-6083	52	16	a	a	DET
ap-6083	52	17	least	least	ADJ
ap-6083	52	18	squares	square	NOUN
ap-6083	52	19	minimization	minimization	NOUN
ap-6083	52	20	(	(	PUNCT
ap-6083	52	21	lsq	lsq	NOUN
ap-6083	52	22	)	)	PUNCT
ap-6083	53	1	[	[	X
ap-6083	53	2	22	22	NUM
ap-6083	53	3	]	]	PUNCT
ap-6083	53	4	.	.	PUNCT
ap-6083	54	1	the	the	DET
ap-6083	54	2	gg	gg	PROPN
ap-6083	54	3	techniques	technique	NOUN
ap-6083	54	4	further	far	ADV
ap-6083	54	5	differ	differ	VERB
ap-6083	54	6	by	by	ADP
ap-6083	54	7	the	the	DET
ap-6083	54	8	method	method	NOUN
ap-6083	54	9	used	use	VERB
ap-6083	54	10	to	to	PART
ap-6083	54	11	interpolate	interpolate	VERB
ap-6083	54	12	cell	cell	NOUN
ap-6083	54	13	-	-	PUNCT
ap-6083	54	14	face	face	NOUN
ap-6083	54	15	values	value	NOUN
ap-6083	54	16	,	,	PUNCT
ap-6083	54	17	while	while	SCONJ
ap-6083	54	18	the	the	DET
ap-6083	54	19	least	least	ADJ
ap-6083	54	20	squares	square	NOUN
ap-6083	54	21	employ	employ	VERB
ap-6083	54	22	various	various	ADJ
ap-6083	54	23	stencils	stencil	NOUN
ap-6083	54	24	and	and	CCONJ
ap-6083	54	25	they	they	PRON
ap-6083	54	26	may	may	AUX
ap-6083	54	27	be	be	AUX
ap-6083	54	28	either	either	CCONJ
ap-6083	54	29	weighted	weight	VERB
ap-6083	54	30	or	or	CCONJ
ap-6083	54	31	unweighted	unweighte	VERB
ap-6083	54	32	.	.	PUNCT
ap-6083	55	1	in	in	ADP
ap-6083	55	2	order	order	NOUN
ap-6083	55	3	to	to	PART
ap-6083	55	4	achieve	achieve	VERB
ap-6083	55	5	a	a	DET
ap-6083	55	6	second	second	ADJ
ap-6083	55	7	order	order	NOUN
ap-6083	55	8	of	of	ADP
ap-6083	55	9	accuracy	accuracy	NOUN
ap-6083	55	10	overall	overall	ADV
ap-6083	55	11	,	,	PUNCT
ap-6083	55	12	the	the	DET
ap-6083	55	13	gradient	gradient	NOUN
ap-6083	55	14	approximation	approximation	NOUN
ap-6083	55	15	needs	need	VERB
ap-6083	55	16	to	to	PART
ap-6083	55	17	be	be	AUX
ap-6083	55	18	at	at	ADP
ap-6083	55	19	least	least	ADJ
ap-6083	55	20	first	first	ADJ
ap-6083	55	21	-	-	PUNCT
ap-6083	55	22	order	order	NOUN
ap-6083	55	23	accurate	accurate	ADJ
ap-6083	56	1	[	[	X
ap-6083	56	2	23	23	NUM
ap-6083	56	3	]	]	PUNCT
ap-6083	56	4	.	.	PUNCT
ap-6083	57	1	mavriplis	mavriplis	PROPN
ap-6083	58	1	[	[	X
ap-6083	58	2	24	24	NUM
ap-6083	58	3	]	]	PUNCT
ap-6083	58	4	found	find	VERB
ap-6083	58	5	that	that	SCONJ
ap-6083	58	6	unweighted	unweighted	ADJ
ap-6083	58	7	least	least	ADJ
ap-6083	58	8	squares	square	NOUN
ap-6083	58	9	severely	severely	ADV
ap-6083	58	10	underpredict	underpredict	VERB
ap-6083	58	11	normal	normal	ADJ
ap-6083	58	12	gradients	gradient	NOUN
ap-6083	58	13	on	on	ADP
ap-6083	58	14	some	some	DET
ap-6083	58	15	meshes	mesh	NOUN
ap-6083	58	16	,	,	PUNCT
ap-6083	58	17	which	which	PRON
ap-6083	58	18	could	could	AUX
ap-6083	58	19	be	be	AUX
ap-6083	58	20	remedied	remedie	VERB
ap-6083	58	21	by	by	ADP
ap-6083	58	22	the	the	DET
ap-6083	58	23	use	use	NOUN
ap-6083	58	24	of	of	ADP
ap-6083	58	25	inverse	inverse	NOUN
ap-6083	58	26	distance	distance	NOUN
ap-6083	58	27	weighting	weighting	NOUN
ap-6083	58	28	or	or	CCONJ
ap-6083	58	29	by	by	ADP
ap-6083	58	30	resorting	resort	VERB
ap-6083	58	31	to	to	ADP
ap-6083	58	32	a	a	DET
ap-6083	58	33	green	green	ADJ
ap-6083	58	34	-	-	PUNCT
ap-6083	58	35	gauss	gauss	NOUN
ap-6083	58	36	method	method	NOUN
ap-6083	58	37	.	.	PUNCT
ap-6083	59	1	sozer	sozer	PROPN
ap-6083	59	2	et	et	PROPN
ap-6083	59	3	al	al	PROPN
ap-6083	59	4	.	.	PUNCT
ap-6083	60	1	[	[	X
ap-6083	60	2	22	22	NUM
ap-6083	60	3	]	]	PUNCT
ap-6083	60	4	compared	compare	VERB
ap-6083	60	5	three	three	NUM
ap-6083	60	6	gg	gg	NOUN
ap-6083	60	7	-	-	PUNCT
ap-6083	60	8	based	base	VERB
ap-6083	60	9	approaches	approach	NOUN
ap-6083	60	10	with	with	ADP
ap-6083	60	11	a	a	DET
ap-6083	60	12	lsq	lsq	NOUN
ap-6083	60	13	minimization	minimization	NOUN
ap-6083	60	14	and	and	CCONJ
ap-6083	60	15	a	a	DET
ap-6083	60	16	curvilinear	curvilinear	ADJ
ap-6083	60	17	gradient	gradient	NOUN
ap-6083	60	18	method	method	NOUN
ap-6083	60	19	and	and	CCONJ
ap-6083	60	20	demonstrated	demonstrate	VERB
ap-6083	60	21	that	that	SCONJ
ap-6083	60	22	the	the	DET
ap-6083	60	23	commonly	commonly	ADV
ap-6083	60	24	used	use	VERB
ap-6083	60	25	gg	gg	NOUN
ap-6083	60	26	technique	technique	NOUN
ap-6083	60	27	with	with	ADP
ap-6083	60	28	either	either	CCONJ
ap-6083	60	29	a	a	DET
ap-6083	60	30	simple	simple	ADJ
ap-6083	60	31	or	or	CCONJ
ap-6083	60	32	an	an	DET
ap-6083	60	33	inverse	inverse	NOUN
ap-6083	60	34	-	-	PUNCT
ap-6083	60	35	distance	distance	NOUN
ap-6083	60	36	weighted	weight	VERB
ap-6083	60	37	averaging	averaging	NOUN
ap-6083	60	38	is	be	AUX
ap-6083	60	39	inconsistent	inconsistent	ADJ
ap-6083	60	40	and	and	CCONJ
ap-6083	60	41	0th	0th	ADJ
ap-6083	60	42	order	order	NOUN
ap-6083	60	43	accurate	accurate	ADJ
ap-6083	60	44	for	for	ADP
ap-6083	60	45	irregular	irregular	ADJ
ap-6083	60	46	meshes	mesh	NOUN
ap-6083	60	47	.	.	PUNCT
ap-6083	61	1	they	they	PRON
ap-6083	61	2	further	far	ADV
ap-6083	61	3	found	find	VERB
ap-6083	61	4	gradient	gradient	ADJ
ap-6083	61	5	operators	operator	NOUN
ap-6083	61	6	with	with	ADP
ap-6083	61	7	compact	compact	ADJ
ap-6083	61	8	stencils	stencil	NOUN
ap-6083	61	9	to	to	PART
ap-6083	61	10	exhibit	exhibit	VERB
ap-6083	61	11	generally	generally	ADV
ap-6083	61	12	lower	low	ADJ
ap-6083	61	13	errors	error	NOUN
ap-6083	61	14	.	.	PUNCT
ap-6083	62	1	the	the	DET
ap-6083	62	2	unsatisfactory	unsatisfactory	ADJ
ap-6083	62	3	performance	performance	NOUN
ap-6083	62	4	of	of	ADP
ap-6083	62	5	the	the	DET
ap-6083	62	6	gg	gg	NOUN
ap-6083	62	7	method	method	NOUN
ap-6083	62	8	with	with	ADP
ap-6083	62	9	simple	simple	ADJ
ap-6083	62	10	averaging	averaging	NOUN
ap-6083	62	11	was	be	AUX
ap-6083	62	12	confirmed	confirm	VERB
ap-6083	62	13	by	by	ADP
ap-6083	62	14	mishriky	mishriky	NOUN
ap-6083	62	15	and	and	CCONJ
ap-6083	62	16	walsh	walsh	NOUN
ap-6083	63	1	[	[	X
ap-6083	63	2	25	25	NUM
ap-6083	63	3	]	]	PUNCT
ap-6083	63	4	,	,	PUNCT
ap-6083	63	5	who	who	PRON
ap-6083	63	6	derived	derive	VERB
ap-6083	63	7	analytically	analytically	ADV
ap-6083	63	8	that	that	SCONJ
ap-6083	63	9	it	it	PRON
ap-6083	63	10	has	have	VERB
ap-6083	63	11	a	a	DET
ap-6083	63	12	0th	0th	ADJ
ap-6083	63	13	order	order	NOUN
ap-6083	63	14	of	of	ADP
ap-6083	63	15	accuracy	accuracy	NOUN
ap-6083	63	16	on	on	ADP
ap-6083	63	17	a	a	DET
ap-6083	63	18	mesh	mesh	NOUN
ap-6083	63	19	with	with	ADP
ap-6083	63	20	arbitrary	arbitrary	ADJ
ap-6083	63	21	spacing	spacing	NOUN
ap-6083	63	22	.	.	PUNCT
ap-6083	64	1	they	they	PRON
ap-6083	64	2	also	also	ADV
ap-6083	64	3	showed	show	VERB
ap-6083	64	4	that	that	SCONJ
ap-6083	64	5	the	the	DET
ap-6083	64	6	gg	gg	NOUN
ap-6083	64	7	method	method	NOUN
ap-6083	64	8	with	with	ADP
ap-6083	64	9	a	a	DET
ap-6083	64	10	more	more	ADV
ap-6083	64	11	suitable	suitable	ADJ
ap-6083	64	12	face	face	NOUN
ap-6083	64	13	-	-	PUNCT
ap-6083	64	14	value	value	NOUN
ap-6083	64	15	interpolation	interpolation	NOUN
ap-6083	64	16	achieves	achieve	VERB
ap-6083	64	17	a	a	DET
ap-6083	64	18	1st	1st	ADJ
ap-6083	64	19	order	order	NOUN
ap-6083	64	20	of	of	ADP
ap-6083	64	21	accuracy	accuracy	NOUN
ap-6083	64	22	,	,	PUNCT
ap-6083	64	23	similarly	similarly	ADV
ap-6083	64	24	to	to	ADP
ap-6083	64	25	the	the	DET
ap-6083	64	26	unweighted	unweighted	ADJ
ap-6083	64	27	lsq	lsq	NOUN
ap-6083	64	28	method	method	NOUN
ap-6083	64	29	.	.	PUNCT
ap-6083	65	1	syrakos	syrakos	PROPN
ap-6083	65	2	at	at	ADP
ap-6083	65	3	al	al	PROPN
ap-6083	65	4	.	.	PUNCT
ap-6083	66	1	[	[	X
ap-6083	66	2	26	26	NUM
ap-6083	66	3	]	]	PUNCT
ap-6083	66	4	also	also	ADV
ap-6083	66	5	concluded	conclude	VERB
ap-6083	66	6	that	that	SCONJ
ap-6083	66	7	a	a	DET
ap-6083	66	8	1st	1st	ADJ
ap-6083	66	9	order	order	NOUN
ap-6083	66	10	of	of	ADP
ap-6083	66	11	accuracy	accuracy	NOUN
ap-6083	66	12	can	can	AUX
ap-6083	66	13	be	be	AUX
ap-6083	66	14	achieved	achieve	VERB
ap-6083	66	15	with	with	ADP
ap-6083	66	16	a	a	DET
ap-6083	66	17	gg	gg	NOUN
ap-6083	66	18	method	method	NOUN
ap-6083	66	19	via	via	ADP
ap-6083	66	20	a	a	DET
ap-6083	66	21	suitable	suitable	ADJ
ap-6083	66	22	choice	choice	NOUN
ap-6083	66	23	of	of	ADP
ap-6083	66	24	face	face	NOUN
ap-6083	66	25	-	-	PUNCT
ap-6083	66	26	value	value	NOUN
ap-6083	66	27	interpolation	interpolation	NOUN
ap-6083	66	28	.	.	PUNCT
ap-6083	67	1	they	they	PRON
ap-6083	67	2	found	find	VERB
ap-6083	67	3	the	the	DET
ap-6083	67	4	inverse	inverse	NOUN
ap-6083	67	5	distance	distance	NOUN
ap-6083	67	6	weighted	weight	VERB
ap-6083	67	7	lsq	lsq	NOUN
ap-6083	67	8	approach	approach	NOUN
ap-6083	67	9	to	to	PART
ap-6083	67	10	be	be	AUX
ap-6083	67	11	at	at	ADP
ap-6083	67	12	least	least	ADJ
ap-6083	67	13	1st	1st	ADJ
ap-6083	67	14	accurate	accurate	ADJ
ap-6083	67	15	and	and	CCONJ
ap-6083	67	16	,	,	PUNCT
ap-6083	67	17	with	with	ADP
ap-6083	67	18	a	a	DET
ap-6083	67	19	particular	particular	ADJ
ap-6083	67	20	choice	choice	NOUN
ap-6083	67	21	of	of	ADP
ap-6083	67	22	the	the	DET
ap-6083	67	23	weighting	weighting	NOUN
ap-6083	67	24	exponent	exponent	NOUN
ap-6083	67	25	(	(	PUNCT
ap-6083	67	26	-3/2	-3/2	PROPN
ap-6083	67	27	)	)	PUNCT
ap-6083	67	28	,	,	PUNCT
ap-6083	67	29	up	up	ADP
ap-6083	67	30	to	to	ADP
ap-6083	67	31	2nd	2nd	ADJ
ap-6083	67	32	order	order	NOUN
ap-6083	67	33	accurate	accurate	ADJ
ap-6083	67	34	on	on	ADP
ap-6083	67	35	some	some	DET
ap-6083	67	36	types	type	NOUN
ap-6083	67	37	of	of	ADP
ap-6083	67	38	meshes	mesh	NOUN
ap-6083	67	39	.	.	PUNCT
ap-6083	68	1	the	the	DET
ap-6083	68	2	second	second	ADJ
ap-6083	68	3	step	step	NOUN
ap-6083	68	4	of	of	ADP
ap-6083	68	5	muscle	muscle	NOUN
ap-6083	68	6	-	-	PUNCT
ap-6083	68	7	type	type	NOUN
ap-6083	68	8	procedure	procedure	NOUN
ap-6083	68	9	imposes	impose	VERB
ap-6083	68	10	a	a	DET
ap-6083	68	11	limiter	limiter	NOUN
ap-6083	68	12	on	on	ADP
ap-6083	68	13	the	the	DET
ap-6083	68	14	reconstructed	reconstructed	ADJ
ap-6083	68	15	gradients	gradient	NOUN
ap-6083	68	16	in	in	ADP
ap-6083	68	17	order	order	NOUN
ap-6083	68	18	to	to	PART
ap-6083	68	19	prevent	prevent	VERB
ap-6083	68	20	spurious	spurious	ADJ
ap-6083	68	21	oscillations	oscillation	NOUN
ap-6083	68	22	.	.	PUNCT
ap-6083	69	1	such	such	ADJ
ap-6083	69	2	limiters	limiter	NOUN
ap-6083	69	3	are	be	AUX
ap-6083	69	4	for	for	ADP
ap-6083	69	5	one	one	NUM
ap-6083	69	6	-	-	PUNCT
ap-6083	69	7	dimensional	dimensional	ADJ
ap-6083	69	8	problems	problem	NOUN
ap-6083	69	9	usually	usually	ADV
ap-6083	69	10	derived	derive	VERB
ap-6083	69	11	from	from	ADP
ap-6083	69	12	a	a	DET
ap-6083	69	13	total	total	ADJ
ap-6083	69	14	-	-	PUNCT
ap-6083	69	15	variation	variation	NOUN
ap-6083	69	16	diminishing	diminishing	NOUN
ap-6083	69	17	criterion	criterion	NOUN
ap-6083	69	18	(	(	PUNCT
ap-6083	69	19	tvd	tvd	PROPN
ap-6083	69	20	)	)	PUNCT
ap-6083	69	21	.	.	PUNCT
ap-6083	70	1	however	however	ADV
ap-6083	70	2	,	,	PUNCT
ap-6083	70	3	this	this	DET
ap-6083	70	4	approach	approach	NOUN
ap-6083	70	5	is	be	AUX
ap-6083	70	6	not	not	PART
ap-6083	70	7	directly	directly	ADV
ap-6083	70	8	extendable	extendable	ADJ
ap-6083	70	9	to	to	ADP
ap-6083	70	10	multidimensional	multidimensional	ADJ
ap-6083	70	11	problems	problem	NOUN
ap-6083	70	12	on	on	ADP
ap-6083	70	13	unstructured	unstructured	ADJ
ap-6083	70	14	grids	grid	NOUN
ap-6083	70	15	,	,	PUNCT
ap-6083	70	16	due	due	ADP
ap-6083	70	17	to	to	ADP
ap-6083	70	18	the	the	DET
ap-6083	70	19	difficulty	difficulty	NOUN
ap-6083	70	20	of	of	ADP
ap-6083	70	21	defining	define	VERB
ap-6083	70	22	the	the	DET
ap-6083	70	23	tvd	tvd	ADJ
ap-6083	70	24	criterion	criterion	NOUN
ap-6083	70	25	in	in	ADP
ap-6083	70	26	such	such	ADJ
ap-6083	70	27	cases	case	NOUN
ap-6083	70	28	[	[	X
ap-6083	70	29	27	27	NUM
ap-6083	70	30	]	]	PUNCT
ap-6083	70	31	.	.	PUNCT
ap-6083	71	1	one	one	NUM
ap-6083	71	2	of	of	ADP
ap-6083	71	3	the	the	DET
ap-6083	71	4	earliest	early	ADJ
ap-6083	71	5	attempts	attempt	NOUN
ap-6083	71	6	to	to	PART
ap-6083	71	7	apply	apply	VERB
ap-6083	71	8	multidimensional	multidimensional	ADJ
ap-6083	71	9	limiting	limiting	NOUN
ap-6083	71	10	on	on	ADP
ap-6083	71	11	unstructured	unstructured	ADJ
ap-6083	71	12	grids	grid	NOUN
ap-6083	71	13	was	be	AUX
ap-6083	71	14	devised	devise	VERB
ap-6083	71	15	by	by	ADP
ap-6083	71	16	barth	barth	NOUN
ap-6083	71	17	and	and	CCONJ
ap-6083	71	18	jespersen	jespersen	PROPN
ap-6083	72	1	[	[	X
ap-6083	72	2	28	28	NUM
ap-6083	72	3	]	]	PUNCT
ap-6083	72	4	,	,	PUNCT
ap-6083	72	5	invoking	invoke	VERB
ap-6083	72	6	the	the	DET
ap-6083	72	7	monotonicity	monotonicity	NOUN
ap-6083	72	8	principle	principle	NOUN
ap-6083	72	9	to	to	PART
ap-6083	72	10	ensure	ensure	VERB
ap-6083	72	11	that	that	SCONJ
ap-6083	72	12	the	the	DET
ap-6083	72	13	reconstructed	reconstructed	ADJ
ap-6083	72	14	values	value	NOUN
ap-6083	72	15	within	within	ADP
ap-6083	72	16	the	the	DET
ap-6083	72	17	cell	cell	NOUN
ap-6083	72	18	do	do	AUX
ap-6083	72	19	not	not	PART
ap-6083	72	20	at	at	ADP
ap-6083	72	21	any	any	DET
ap-6083	72	22	point	point	NOUN
ap-6083	72	23	exceed	exceed	VERB
ap-6083	72	24	the	the	DET
ap-6083	72	25	minimum	minimum	ADJ
ap-6083	72	26	/	/	SYM
ap-6083	72	27	maximum	maximum	NOUN
ap-6083	72	28	of	of	ADP
ap-6083	72	29	neighbouring	neighbouring	ADJ
ap-6083	72	30	centroid	centroid	NOUN
ap-6083	72	31	values	value	NOUN
ap-6083	72	32	.	.	PUNCT
ap-6083	73	1	applied	apply	VERB
ap-6083	73	2	to	to	ADP
ap-6083	73	3	a	a	DET
ap-6083	73	4	computation	computation	NOUN
ap-6083	73	5	of	of	ADP
ap-6083	73	6	flow	flow	NOUN
ap-6083	73	7	around	around	ADP
ap-6083	73	8	airfoils	airfoil	NOUN
ap-6083	73	9	,	,	PUNCT
ap-6083	73	10	their	their	PRON
ap-6083	73	11	technique	technique	NOUN
ap-6083	73	12	produced	produce	VERB
ap-6083	73	13	significantly	significantly	ADV
ap-6083	73	14	more	more	ADV
ap-6083	73	15	accurate	accurate	ADJ
ap-6083	73	16	results	result	NOUN
ap-6083	73	17	in	in	ADP
ap-6083	73	18	comparison	comparison	NOUN
ap-6083	73	19	with	with	ADP
ap-6083	73	20	a	a	DET
ap-6083	73	21	first	first	ADJ
ap-6083	73	22	-	-	PUNCT
ap-6083	73	23	order	order	NOUN
ap-6083	73	24	method	method	NOUN
ap-6083	73	25	.	.	PUNCT
ap-6083	74	1	however	however	ADV
ap-6083	74	2	,	,	PUNCT
ap-6083	74	3	the	the	DET
ap-6083	74	4	discontinuous	discontinuous	ADJ
ap-6083	74	5	nature	nature	NOUN
ap-6083	74	6	of	of	ADP
ap-6083	74	7	the	the	DET
ap-6083	74	8	limiter	limiter	NOUN
ap-6083	74	9	resulted	result	VERB
ap-6083	74	10	in	in	ADP
ap-6083	74	11	problems	problem	NOUN
ap-6083	74	12	with	with	ADP
ap-6083	74	13	steady	steady	ADJ
ap-6083	74	14	-	-	PUNCT
ap-6083	74	15	state	state	NOUN
ap-6083	74	16	convergence	convergence	NOUN
ap-6083	74	17	.	.	PUNCT
ap-6083	75	1	to	to	PART
ap-6083	75	2	address	address	VERB
ap-6083	75	3	this	this	DET
ap-6083	75	4	problem	problem	NOUN
ap-6083	75	5	,	,	PUNCT
ap-6083	75	6	venkatakrishnan	venkatakrishnan	NOUN
ap-6083	75	7	[	[	X
ap-6083	75	8	29	29	NUM
ap-6083	75	9	]	]	PUNCT
ap-6083	75	10	modified	modify	VERB
ap-6083	75	11	the	the	DET
ap-6083	75	12	method	method	NOUN
ap-6083	75	13	by	by	ADP
ap-6083	75	14	using	use	VERB
ap-6083	75	15	a	a	DET
ap-6083	75	16	smooth	smooth	ADJ
ap-6083	75	17	limiter	limiter	NOUN
ap-6083	75	18	function	function	NOUN
ap-6083	75	19	.	.	PUNCT
ap-6083	76	1	he	he	PRON
ap-6083	76	2	succeeded	succeed	VERB
ap-6083	76	3	in	in	ADP
ap-6083	76	4	achieving	achieve	VERB
ap-6083	76	5	a	a	DET
ap-6083	76	6	better	well	ADJ
ap-6083	76	7	convergence	convergence	NOUN
ap-6083	76	8	behaviour	behaviour	NOUN
ap-6083	76	9	,	,	PUNCT
ap-6083	76	10	but	but	CCONJ
ap-6083	76	11	his	his	PRON
ap-6083	76	12	lim136	lim136	PROPN
ap-6083	76	13	vol	vol	NOUN
ap-6083	76	14	.	.	PUNCT
ap-6083	77	1	61	61	NUM
ap-6083	77	2	special	special	ADJ
ap-6083	77	3	issue/2021	issue/2021	NOUN
ap-6083	77	4	numerical	numerical	PROPN
ap-6083	77	5	flutter	flutter	PROPN
ap-6083	77	6	prediction	prediction	NOUN
ap-6083	77	7	iter	iter	NOUN
ap-6083	77	8	used	use	VERB
ap-6083	77	9	a	a	DET
ap-6083	77	10	constant	constant	ADJ
ap-6083	77	11	which	which	PRON
ap-6083	77	12	needed	need	VERB
ap-6083	77	13	to	to	PART
ap-6083	77	14	be	be	AUX
ap-6083	77	15	tuned	tune	VERB
ap-6083	77	16	for	for	ADP
ap-6083	77	17	each	each	DET
ap-6083	77	18	case	case	NOUN
ap-6083	77	19	.	.	PUNCT
ap-6083	78	1	other	other	ADJ
ap-6083	78	2	researchers	researcher	NOUN
ap-6083	78	3	tried	try	VERB
ap-6083	78	4	to	to	PART
ap-6083	78	5	exploit	exploit	VERB
ap-6083	78	6	the	the	DET
ap-6083	78	7	multidimensionality	multidimensionality	NOUN
ap-6083	78	8	of	of	ADP
ap-6083	78	9	the	the	DET
ap-6083	78	10	problem	problem	NOUN
ap-6083	78	11	and	and	CCONJ
ap-6083	78	12	instead	instead	ADV
ap-6083	78	13	of	of	ADP
ap-6083	78	14	multiplying	multiply	VERB
ap-6083	78	15	the	the	DET
ap-6083	78	16	gradient	gradient	NOUN
ap-6083	78	17	by	by	ADP
ap-6083	78	18	a	a	DET
ap-6083	78	19	scalar	scalar	ADJ
ap-6083	78	20	slope	slope	NOUN
ap-6083	78	21	limiter	limiter	NOUN
ap-6083	78	22	,	,	PUNCT
ap-6083	78	23	they	they	PRON
ap-6083	78	24	used	use	VERB
ap-6083	78	25	its	its	PRON
ap-6083	78	26	projection	projection	NOUN
ap-6083	78	27	onto	onto	ADP
ap-6083	78	28	a	a	DET
ap-6083	78	29	boundary	boundary	NOUN
ap-6083	78	30	of	of	ADP
ap-6083	78	31	a	a	DET
ap-6083	78	32	maximum	maximum	ADJ
ap-6083	78	33	principle	principle	ADJ
ap-6083	78	34	region	region	NOUN
ap-6083	78	35	(	(	PUNCT
ap-6083	78	36	[	[	X
ap-6083	78	37	27	27	NUM
ap-6083	78	38	]	]	PUNCT
ap-6083	78	39	,	,	PUNCT
ap-6083	78	40	[	[	X
ap-6083	78	41	23	23	NUM
ap-6083	78	42	]	]	PUNCT
ap-6083	78	43	)	)	PUNCT
ap-6083	78	44	.	.	PUNCT
ap-6083	79	1	kim	kim	PROPN
ap-6083	79	2	and	and	CCONJ
ap-6083	79	3	kim	kim	PROPN
ap-6083	80	1	[	[	X
ap-6083	80	2	30	30	NUM
ap-6083	80	3	]	]	PUNCT
ap-6083	80	4	developed	develop	VERB
ap-6083	80	5	a	a	DET
ap-6083	80	6	multidimensional	multidimensional	ADJ
ap-6083	80	7	limiting	limiting	NOUN
ap-6083	80	8	process	process	NOUN
ap-6083	80	9	for	for	ADP
ap-6083	80	10	structured	structured	ADJ
ap-6083	80	11	grids	grid	NOUN
ap-6083	80	12	,	,	PUNCT
ap-6083	80	13	which	which	PRON
ap-6083	80	14	was	be	AUX
ap-6083	80	15	extended	extend	VERB
ap-6083	80	16	by	by	ADP
ap-6083	80	17	park	park	NOUN
ap-6083	80	18	et	et	PROPN
ap-6083	80	19	al	al	PROPN
ap-6083	80	20	.	.	PROPN
ap-6083	81	1	to	to	ADP
ap-6083	81	2	unstructured	unstructured	ADJ
ap-6083	81	3	grids	grid	NOUN
ap-6083	81	4	[	[	X
ap-6083	81	5	31	31	NUM
ap-6083	81	6	]	]	PUNCT
ap-6083	81	7	and	and	CCONJ
ap-6083	81	8	applied	apply	VERB
ap-6083	81	9	successfully	successfully	ADV
ap-6083	81	10	to	to	ADP
ap-6083	81	11	a	a	DET
ap-6083	81	12	transonic	transonic	ADJ
ap-6083	81	13	flow	flow	NOUN
ap-6083	81	14	computation	computation	NOUN
ap-6083	81	15	around	around	ADP
ap-6083	81	16	a	a	DET
ap-6083	81	17	naca0012	naca0012	PROPN
ap-6083	81	18	airfoil	airfoil	NOUN
ap-6083	81	19	.	.	PUNCT
ap-6083	82	1	recently	recently	ADV
ap-6083	82	2	,	,	PUNCT
ap-6083	82	3	a	a	DET
ap-6083	82	4	novel	novel	ADJ
ap-6083	82	5	edge	edge	NOUN
ap-6083	82	6	-	-	PUNCT
ap-6083	82	7	based	base	VERB
ap-6083	82	8	limiting	limiting	NOUN
ap-6083	82	9	procedure	procedure	NOUN
ap-6083	82	10	was	be	AUX
ap-6083	82	11	devised	devise	VERB
ap-6083	82	12	by	by	ADP
ap-6083	82	13	delis	deli	NOUN
ap-6083	82	14	and	and	CCONJ
ap-6083	82	15	nikolos	nikolos	ADJ
ap-6083	82	16	(	(	PUNCT
ap-6083	82	17	[	[	X
ap-6083	82	18	32	32	NUM
ap-6083	82	19	]	]	PUNCT
ap-6083	82	20	,	,	PUNCT
ap-6083	82	21	[	[	X
ap-6083	82	22	33	33	NUM
ap-6083	82	23	]	]	PUNCT
ap-6083	82	24	)	)	PUNCT
ap-6083	82	25	.	.	PUNCT
ap-6083	83	1	instead	instead	ADV
ap-6083	83	2	of	of	ADP
ap-6083	83	3	defining	define	VERB
ap-6083	83	4	the	the	DET
ap-6083	83	5	limited	limited	ADJ
ap-6083	83	6	gradient	gradient	NOUN
ap-6083	83	7	as	as	ADP
ap-6083	83	8	a	a	DET
ap-6083	83	9	constant	constant	ADJ
ap-6083	83	10	value	value	NOUN
ap-6083	83	11	over	over	ADP
ap-6083	83	12	the	the	DET
ap-6083	83	13	entire	entire	ADJ
ap-6083	83	14	cell	cell	NOUN
ap-6083	83	15	,	,	PUNCT
ap-6083	83	16	the	the	DET
ap-6083	83	17	limiting	limit	VERB
ap-6083	83	18	procedure	procedure	NOUN
ap-6083	83	19	is	be	AUX
ap-6083	83	20	performed	perform	VERB
ap-6083	83	21	individually	individually	ADV
ap-6083	83	22	for	for	ADP
ap-6083	83	23	each	each	DET
ap-6083	83	24	cell	cell	NOUN
ap-6083	83	25	-	-	PUNCT
ap-6083	83	26	edge	edge	NOUN
ap-6083	83	27	.	.	PUNCT
ap-6083	84	1	the	the	DET
ap-6083	84	2	inevitable	inevitable	ADJ
ap-6083	84	3	loss	loss	NOUN
ap-6083	84	4	of	of	ADP
ap-6083	84	5	accuracy	accuracy	NOUN
ap-6083	84	6	accompanying	accompany	VERB
ap-6083	84	7	the	the	DET
ap-6083	84	8	activation	activation	NOUN
ap-6083	84	9	of	of	ADP
ap-6083	84	10	the	the	DET
ap-6083	84	11	limiter	limiter	NOUN
ap-6083	84	12	can	can	AUX
ap-6083	84	13	thus	thus	ADV
ap-6083	84	14	be	be	AUX
ap-6083	84	15	minimized	minimize	VERB
ap-6083	84	16	.	.	PUNCT
ap-6083	85	1	moreover	moreover	ADV
ap-6083	85	2	,	,	PUNCT
ap-6083	85	3	the	the	DET
ap-6083	85	4	edge	edge	NOUN
ap-6083	85	5	-	-	PUNCT
ap-6083	85	6	based	base	VERB
ap-6083	85	7	limiting	limit	VERB
ap-6083	85	8	procedure	procedure	NOUN
ap-6083	85	9	employs	employ	VERB
ap-6083	85	10	the	the	DET
ap-6083	85	11	well	well	ADV
ap-6083	85	12	-	-	PUNCT
ap-6083	85	13	known	know	VERB
ap-6083	85	14	1d	1d	NUM
ap-6083	85	15	limiters	limiter	NOUN
ap-6083	85	16	,	,	PUNCT
ap-6083	85	17	allowing	allow	VERB
ap-6083	85	18	the	the	DET
ap-6083	85	19	user	user	NOUN
ap-6083	85	20	to	to	PART
ap-6083	85	21	chose	chose	VERB
ap-6083	85	22	the	the	DET
ap-6083	85	23	one	one	NOUN
ap-6083	85	24	that	that	PRON
ap-6083	85	25	is	be	AUX
ap-6083	85	26	most	most	ADV
ap-6083	85	27	suitable	suitable	ADJ
ap-6083	85	28	for	for	ADP
ap-6083	85	29	their	their	PRON
ap-6083	85	30	case	case	NOUN
ap-6083	85	31	.	.	PUNCT
ap-6083	86	1	the	the	DET
ap-6083	86	2	aim	aim	NOUN
ap-6083	86	3	of	of	ADP
ap-6083	86	4	this	this	DET
ap-6083	86	5	paper	paper	NOUN
ap-6083	86	6	is	be	AUX
ap-6083	86	7	to	to	PART
ap-6083	86	8	present	present	VERB
ap-6083	86	9	a	a	DET
ap-6083	86	10	computational	computational	ADJ
ap-6083	86	11	model	model	NOUN
ap-6083	86	12	for	for	ADP
ap-6083	86	13	flutter	flutter	NOUN
ap-6083	86	14	analysis	analysis	NOUN
ap-6083	86	15	of	of	ADP
ap-6083	86	16	a	a	DET
ap-6083	86	17	low	low	ADJ
ap-6083	86	18	-	-	PUNCT
ap-6083	86	19	pressure	pressure	NOUN
ap-6083	86	20	turbine	turbine	NOUN
ap-6083	86	21	blade	blade	NOUN
ap-6083	86	22	-	-	PUNCT
ap-6083	86	23	row	row	NOUN
ap-6083	86	24	.	.	PUNCT
ap-6083	87	1	although	although	SCONJ
ap-6083	87	2	the	the	DET
ap-6083	87	3	model	model	NOUN
ap-6083	87	4	employs	employ	VERB
ap-6083	87	5	relatively	relatively	ADV
ap-6083	87	6	well	well	ADV
ap-6083	87	7	-	-	PUNCT
ap-6083	87	8	established	establish	VERB
ap-6083	87	9	techniques	technique	NOUN
ap-6083	87	10	such	such	ADJ
ap-6083	87	11	as	as	ADP
ap-6083	87	12	the	the	DET
ap-6083	87	13	ausm+-up	ausm+-up	PROPN
ap-6083	87	14	scheme	scheme	NOUN
ap-6083	87	15	of	of	ADP
ap-6083	87	16	liou	liou	NOUN
ap-6083	87	17	[	[	X
ap-6083	87	18	34	34	NUM
ap-6083	87	19	]	]	PUNCT
ap-6083	87	20	for	for	ADP
ap-6083	87	21	inviscid	inviscid	ADJ
ap-6083	87	22	flux	flux	NOUN
ap-6083	87	23	approximation	approximation	NOUN
ap-6083	87	24	with	with	ADP
ap-6083	87	25	a	a	DET
ap-6083	87	26	muscl	muscl	ADJ
ap-6083	87	27	-	-	PUNCT
ap-6083	87	28	type	type	NOUN
ap-6083	87	29	reconstruction	reconstruction	NOUN
ap-6083	87	30	,	,	PUNCT
ap-6083	87	31	the	the	DET
ap-6083	87	32	implementation	implementation	NOUN
ap-6083	87	33	of	of	ADP
ap-6083	87	34	each	each	DET
ap-6083	87	35	step	step	NOUN
ap-6083	87	36	is	be	AUX
ap-6083	87	37	carefully	carefully	ADV
ap-6083	87	38	revisited	revisit	VERB
ap-6083	87	39	in	in	ADP
ap-6083	87	40	order	order	NOUN
ap-6083	87	41	to	to	PART
ap-6083	87	42	achieve	achieve	VERB
ap-6083	87	43	high	high	ADJ
ap-6083	87	44	fidelity	fidelity	NOUN
ap-6083	87	45	.	.	PUNCT
ap-6083	88	1	the	the	DET
ap-6083	88	2	gradients	gradient	NOUN
ap-6083	88	3	are	be	AUX
ap-6083	88	4	approximated	approximate	VERB
ap-6083	88	5	by	by	ADP
ap-6083	88	6	the	the	DET
ap-6083	88	7	weighted	weight	VERB
ap-6083	88	8	least	least	ADJ
ap-6083	88	9	-	-	PUNCT
ap-6083	88	10	squares	square	NOUN
ap-6083	88	11	method	method	NOUN
ap-6083	88	12	,	,	PUNCT
ap-6083	88	13	for	for	ADP
ap-6083	88	14	which	which	PRON
ap-6083	88	15	a	a	DET
ap-6083	88	16	study	study	NOUN
ap-6083	88	17	analysing	analyse	VERB
ap-6083	88	18	the	the	DET
ap-6083	88	19	suitable	suitable	ADJ
ap-6083	88	20	choice	choice	NOUN
ap-6083	88	21	of	of	ADP
ap-6083	88	22	the	the	DET
ap-6083	88	23	weighting	weighting	NOUN
ap-6083	88	24	coefficient	coefficient	NOUN
ap-6083	88	25	and	and	CCONJ
ap-6083	88	26	of	of	ADP
ap-6083	88	27	the	the	DET
ap-6083	88	28	stencil	stencil	PROPN
ap-6083	88	29	extent	extent	NOUN
ap-6083	88	30	is	be	AUX
ap-6083	88	31	presented	present	VERB
ap-6083	88	32	.	.	PUNCT
ap-6083	89	1	a	a	DET
ap-6083	89	2	comparison	comparison	NOUN
ap-6083	89	3	of	of	ADP
ap-6083	89	4	gradient	gradient	ADJ
ap-6083	89	5	limiting	limiting	NOUN
ap-6083	89	6	procedures	procedure	NOUN
ap-6083	89	7	is	be	AUX
ap-6083	89	8	also	also	ADV
ap-6083	89	9	shown	show	VERB
ap-6083	89	10	,	,	PUNCT
ap-6083	89	11	comprising	comprising	NOUN
ap-6083	89	12	of	of	ADP
ap-6083	89	13	the	the	DET
ap-6083	89	14	techniques	technique	NOUN
ap-6083	89	15	of	of	ADP
ap-6083	89	16	barth	barth	NOUN
ap-6083	89	17	and	and	CCONJ
ap-6083	89	18	jaspersen	jaspersen	VERB
ap-6083	90	1	[	[	X
ap-6083	90	2	28	28	NUM
ap-6083	90	3	]	]	PUNCT
ap-6083	90	4	,	,	PUNCT
ap-6083	90	5	venkatakrishnan	venkatakrishnan	NOUN
ap-6083	90	6	[	[	X
ap-6083	90	7	29	29	NUM
ap-6083	90	8	]	]	PUNCT
ap-6083	90	9	,	,	PUNCT
ap-6083	90	10	park	park	NOUN
ap-6083	90	11	and	and	CCONJ
ap-6083	90	12	kim	kim	PROPN
ap-6083	91	1	[	[	X
ap-6083	91	2	31	31	NUM
ap-6083	91	3	]	]	PUNCT
ap-6083	91	4	and	and	CCONJ
ap-6083	91	5	delis	deli	NOUN
ap-6083	91	6	and	and	CCONJ
ap-6083	91	7	nikolos	nikolos	ADJ
ap-6083	91	8	[	[	X
ap-6083	91	9	32	32	NUM
ap-6083	91	10	]	]	PUNCT
ap-6083	91	11	.	.	PUNCT
ap-6083	92	1	the	the	DET
ap-6083	92	2	numerical	numerical	ADJ
ap-6083	92	3	results	result	NOUN
ap-6083	92	4	are	be	AUX
ap-6083	92	5	validated	validate	VERB
ap-6083	92	6	by	by	ADP
ap-6083	92	7	comparison	comparison	NOUN
ap-6083	92	8	with	with	ADP
ap-6083	92	9	experimental	experimental	ADJ
ap-6083	92	10	data	datum	NOUN
ap-6083	92	11	on	on	ADP
ap-6083	92	12	the	the	DET
ap-6083	92	13	fourth	fourth	ADJ
ap-6083	92	14	standard	standard	ADJ
ap-6083	92	15	configuration	configuration	NOUN
ap-6083	92	16	(	(	PUNCT
ap-6083	92	17	stcf4	stcf4	PROPN
ap-6083	92	18	)	)	PUNCT
ap-6083	92	19	of	of	ADP
ap-6083	92	20	bölcs	bölcs	NOUN
ap-6083	92	21	and	and	CCONJ
ap-6083	92	22	fransson	fransson	ADJ
ap-6083	92	23	[	[	X
ap-6083	92	24	35	35	NUM
ap-6083	92	25	]	]	PUNCT
ap-6083	92	26	.	.	PUNCT
ap-6083	93	1	results	result	NOUN
ap-6083	93	2	are	be	AUX
ap-6083	93	3	also	also	ADV
ap-6083	93	4	shown	show	VERB
ap-6083	93	5	for	for	ADP
ap-6083	93	6	a	a	DET
ap-6083	93	7	low	low	ADJ
ap-6083	93	8	-	-	PUNCT
ap-6083	93	9	pressure	pressure	NOUN
ap-6083	93	10	turbine	turbine	NOUN
ap-6083	93	11	blade	blade	NOUN
ap-6083	93	12	-	-	PUNCT
ap-6083	93	13	row	row	NOUN
ap-6083	93	14	with	with	ADP
ap-6083	93	15	a	a	DET
ap-6083	93	16	highly	highly	ADV
ap-6083	93	17	subsonic	subsonic	ADJ
ap-6083	93	18	inlet	inlet	NOUN
ap-6083	93	19	and	and	CCONJ
ap-6083	93	20	a	a	DET
ap-6083	93	21	coupled	couple	VERB
ap-6083	93	22	mode	mode	NOUN
ap-6083	93	23	of	of	ADP
ap-6083	93	24	vibration	vibration	NOUN
ap-6083	93	25	.	.	PUNCT
ap-6083	94	1	2	2	X
ap-6083	94	2	.	.	X
ap-6083	94	3	computational	computational	ADJ
ap-6083	94	4	methods	method	NOUN
ap-6083	94	5	2.1	2.1	NUM
ap-6083	94	6	.	.	PUNCT
ap-6083	95	1	flow	flow	NOUN
ap-6083	95	2	model	model	NOUN
ap-6083	95	3	we	we	PRON
ap-6083	95	4	denote	denote	VERB
ap-6083	95	5	ωt	ωt	ADP
ap-6083	95	6	the	the	DET
ap-6083	95	7	computational	computational	ADJ
ap-6083	95	8	domain	domain	NOUN
ap-6083	95	9	occupied	occupy	VERB
ap-6083	95	10	by	by	ADP
ap-6083	95	11	fluid	fluid	NOUN
ap-6083	95	12	at	at	ADP
ap-6083	95	13	time	time	NOUN
ap-6083	95	14	t	t	PROPN
ap-6083	95	15	∈	∈	PROPN
ap-6083	95	16	〈	〈	PROPN
ap-6083	95	17	0	0	NUM
ap-6083	95	18	,	,	PUNCT
ap-6083	95	19	t	t	PROPN
ap-6083	95	20	〉	〉	NUM
ap-6083	95	21	.	.	PUNCT
ap-6083	96	1	we	we	PRON
ap-6083	96	2	aim	aim	VERB
ap-6083	96	3	to	to	PART
ap-6083	96	4	find	find	VERB
ap-6083	96	5	the	the	DET
ap-6083	96	6	fluid	fluid	ADJ
ap-6083	96	7	density	density	NOUN
ap-6083	96	8	ρ	ρ	NOUN
ap-6083	96	9	,	,	PUNCT
ap-6083	96	10	velocity	velocity	NOUN
ap-6083	96	11	u	u	NOUN
ap-6083	96	12	=	=	SYM
ap-6083	96	13	u(x	u(x	PROPN
ap-6083	96	14	,	,	PUNCT
ap-6083	96	15	t	t	PROPN
ap-6083	96	16	)	)	PUNCT
ap-6083	96	17	and	and	CCONJ
ap-6083	96	18	static	static	ADJ
ap-6083	96	19	pressure	pressure	NOUN
ap-6083	96	20	p	p	NOUN
ap-6083	96	21	for	for	ADP
ap-6083	96	22	x	x	PROPN
ap-6083	96	23	∈	∈	PROPN
ap-6083	96	24	ωt	ωt	PROPN
ap-6083	96	25	,	,	PUNCT
ap-6083	96	26	where	where	SCONJ
ap-6083	96	27	u	u	NOUN
ap-6083	96	28	=	=	PUNCT
ap-6083	97	1	[	[	X
ap-6083	97	2	ux	ux	X
ap-6083	97	3	,	,	PUNCT
ap-6083	97	4	uy]t	uy]t	PROPN
ap-6083	97	5	has	have	VERB
ap-6083	97	6	two	two	NUM
ap-6083	97	7	components	component	NOUN
ap-6083	97	8	in	in	ADP
ap-6083	97	9	the	the	DET
ap-6083	97	10	directions	direction	NOUN
ap-6083	97	11	of	of	ADP
ap-6083	97	12	cartesian	cartesian	ADJ
ap-6083	97	13	axes	axis	NOUN
ap-6083	97	14	x	x	ADP
ap-6083	97	15	,	,	PUNCT
ap-6083	97	16	y.	y.	PROPN
ap-6083	97	17	further	far	ADV
ap-6083	97	18	we	we	PRON
ap-6083	97	19	denote	denote	VERB
ap-6083	97	20	the	the	DET
ap-6083	97	21	total	total	ADJ
ap-6083	97	22	energy	energy	NOUN
ap-6083	97	23	et	et	NOUN
ap-6083	97	24	=	=	PUNCT
ap-6083	97	25	e+	e+	PUNCT
ap-6083	97	26	1	1	NUM
ap-6083	97	27	2	2	NUM
ap-6083	97	28	(	(	PUNCT
ap-6083	97	29	u2	u2	NOUN
ap-6083	97	30	x	x	PROPN
ap-6083	98	1	+	+	PROPN
ap-6083	98	2	u2	u2	PROPN
ap-6083	98	3	y	y	PROPN
ap-6083	98	4	)	)	PUNCT
ap-6083	98	5	,	,	PUNCT
ap-6083	98	6	using	use	VERB
ap-6083	98	7	the	the	DET
ap-6083	98	8	notation	notation	NOUN
ap-6083	98	9	e	e	NOUN
ap-6083	98	10	for	for	ADP
ap-6083	98	11	internal	internal	ADJ
ap-6083	98	12	energy	energy	NOUN
ap-6083	98	13	.	.	PUNCT
ap-6083	99	1	we	we	PRON
ap-6083	99	2	consider	consider	VERB
ap-6083	99	3	the	the	DET
ap-6083	99	4	domain	domain	NOUN
ap-6083	99	5	at	at	ADP
ap-6083	99	6	time	time	NOUN
ap-6083	99	7	t	t	PROPN
ap-6083	99	8	=	=	SYM
ap-6083	99	9	0	0	PUNCT
ap-6083	99	10	as	as	SCONJ
ap-6083	99	11	the	the	DET
ap-6083	99	12	reference	reference	NOUN
ap-6083	99	13	domain	domain	NOUN
ap-6083	99	14	ωref	ωref	NOUN
ap-6083	99	15	=	=	SYM
ap-6083	99	16	ω0	ω0	NOUN
ap-6083	99	17	and	and	CCONJ
ap-6083	99	18	introduce	introduce	VERB
ap-6083	99	19	the	the	DET
ap-6083	99	20	ale	ale	NOUN
ap-6083	99	21	mapping	mapping	NOUN
ap-6083	99	22	[	[	X
ap-6083	99	23	5	5	NUM
ap-6083	99	24	]	]	PUNCT
ap-6083	99	25	:	:	PUNCT
ap-6083	99	26	at	at	ADP
ap-6083	99	27	:	:	PUNCT
ap-6083	99	28	ωref	ωref	ADJ
ap-6083	99	29	→	→	SYM
ap-6083	99	30	ωt	ωt	PROPN
ap-6083	99	31	,	,	PUNCT
ap-6083	99	32	x	x	X
ap-6083	99	33	→	→	SYM
ap-6083	99	34	x(x	x(x	PROPN
ap-6083	99	35	,	,	PUNCT
ap-6083	99	36	t	t	PROPN
ap-6083	99	37	)	)	PUNCT
ap-6083	99	38	=	=	PUNCT
ap-6083	99	39	at(x	at(x	PRON
ap-6083	99	40	)	)	PUNCT
ap-6083	99	41	,	,	PUNCT
ap-6083	99	42	(	(	PUNCT
ap-6083	99	43	1	1	X
ap-6083	99	44	)	)	PUNCT
ap-6083	99	45	describing	describe	VERB
ap-6083	99	46	the	the	DET
ap-6083	99	47	time	time	NOUN
ap-6083	99	48	-	-	PUNCT
ap-6083	99	49	dependent	dependent	ADJ
ap-6083	99	50	position	position	NOUN
ap-6083	99	51	x	x	X
ap-6083	99	52	∈	∈	NOUN
ap-6083	99	53	ωt	ωt	ADP
ap-6083	99	54	of	of	ADP
ap-6083	99	55	a	a	DET
ap-6083	99	56	point	point	NOUN
ap-6083	99	57	from	from	ADP
ap-6083	99	58	reference	reference	NOUN
ap-6083	99	59	domain	domain	NOUN
ap-6083	99	60	x	x	SYM
ap-6083	99	61	∈	∈	NOUN
ap-6083	99	62	ωref	ωref	NOUN
ap-6083	99	63	.	.	PUNCT
ap-6083	100	1	the	the	DET
ap-6083	100	2	ale	ale	NOUN
ap-6083	100	3	figure	figure	NOUN
ap-6083	100	4	1	1	NUM
ap-6083	100	5	.	.	PUNCT
ap-6083	100	6	computational	computational	ADJ
ap-6083	100	7	domain	domain	NOUN
ap-6083	100	8	.	.	PUNCT
ap-6083	101	1	velocity	velocity	NOUN
ap-6083	101	2	is	be	AUX
ap-6083	101	3	defined	define	VERB
ap-6083	101	4	s	s	NOUN
ap-6083	101	5	=	=	NOUN
ap-6083	101	6	∂at/∂t	∂at/∂t	NUM
ap-6083	101	7	.	.	PUNCT
ap-6083	102	1	we	we	PRON
ap-6083	102	2	consider	consider	VERB
ap-6083	102	3	the	the	DET
ap-6083	102	4	set	set	NOUN
ap-6083	102	5	of	of	ADP
ap-6083	102	6	euler	euler	NOUN
ap-6083	102	7	equations	equation	NOUN
ap-6083	102	8	[	[	X
ap-6083	102	9	36	36	NUM
ap-6083	102	10	]	]	X
ap-6083	102	11	:	:	PUNCT
ap-6083	102	12	∂	∂	NUM
ap-6083	103	1	∂t	∂t	PROPN
ap-6083	103	2	∫	∫	PROPN
ap-6083	103	3	ωt	ωt	INTJ
ap-6083	103	4	w	w	PROPN
ap-6083	103	5	dω	dω	ADV
ap-6083	103	6	+	+	PUNCT
ap-6083	103	7	∮	∮	NUM
ap-6083	103	8	γ(t	γ(t	NOUN
ap-6083	103	9	)	)	PUNCT
ap-6083	103	10	f	f	PROPN
ap-6083	103	11	(	(	PUNCT
ap-6083	103	12	w	w	PROPN
ap-6083	103	13	,	,	PUNCT
ap-6083	103	14	n	n	CCONJ
ap-6083	103	15	,	,	PUNCT
ap-6083	103	16	s)dγ	s)dγ	PROPN
ap-6083	103	17	=	=	SYM
ap-6083	103	18	0	0	NUM
ap-6083	103	19	,	,	PUNCT
ap-6083	103	20	(	(	PUNCT
ap-6083	103	21	2	2	X
ap-6083	103	22	)	)	PUNCT
ap-6083	103	23	where	where	SCONJ
ap-6083	103	24	n	n	NOUN
ap-6083	103	25	=	=	SYM
ap-6083	104	1	[	[	X
ap-6083	104	2	nx	nx	X
ap-6083	104	3	,	,	PUNCT
ap-6083	104	4	ny]t	ny]t	PROPN
ap-6083	104	5	is	be	AUX
ap-6083	104	6	the	the	DET
ap-6083	104	7	surface	surface	NOUN
ap-6083	104	8	outward	outward	ADJ
ap-6083	104	9	unit	unit	NOUN
ap-6083	104	10	normal	normal	ADJ
ap-6083	104	11	.	.	PUNCT
ap-6083	105	1	the	the	DET
ap-6083	105	2	vector	vector	NOUN
ap-6083	105	3	of	of	ADP
ap-6083	105	4	characteristic	characteristic	ADJ
ap-6083	105	5	variablesw	variablesw	NOUN
ap-6083	105	6	and	and	CCONJ
ap-6083	105	7	the	the	DET
ap-6083	105	8	flux	flux	PROPN
ap-6083	105	9	vector	vector	PROPN
ap-6083	105	10	f	f	PROPN
ap-6083	105	11	are	be	AUX
ap-6083	105	12	defined	define	VERB
ap-6083	105	13	as	as	ADP
ap-6083	105	14	:	:	PUNCT
ap-6083	105	15	w	w	PROPN
ap-6083	105	16	=	=	SYM
ap-6083	105	17			PROPN
ap-6083	105	18	ρ	ρ	NUM
ap-6083	105	19	ρu	ρu	NOUN
ap-6083	105	20	ρet	ρet	NOUN
ap-6083	105	21			NOUN
ap-6083	105	22	,	,	PUNCT
ap-6083	105	23	f	f	X
ap-6083	105	24	=	=	PUNCT
ap-6083	105	25	(	(	PUNCT
ap-6083	105	26	u−s)·n	u−s)·n	NOUN
ap-6083	105	27			X
ap-6083	105	28	ρ	ρ	NUM
ap-6083	105	29	ρu	ρu	ADP
ap-6083	105	30	ρet	ρet	NOUN
ap-6083	106	1	+	+	CCONJ
ap-6083	106	2	p	p	X
ap-6083	106	3	−	−	AUX
ap-6083	106	4			NOUN
ap-6083	106	5	0	0	NUM
ap-6083	106	6	−pn	−pn	PRON
ap-6083	106	7	−ps	−ps	NOUN
ap-6083	106	8	·	·	PUNCT
ap-6083	106	9	n	n	NUM
ap-6083	106	10			NOUN
ap-6083	106	11	.	.	PUNCT
ap-6083	107	1	(	(	PUNCT
ap-6083	107	2	3	3	X
ap-6083	107	3	)	)	PUNCT
ap-6083	107	4	the	the	DET
ap-6083	107	5	system	system	NOUN
ap-6083	107	6	of	of	ADP
ap-6083	107	7	equations	equation	NOUN
ap-6083	107	8	is	be	AUX
ap-6083	107	9	closed	close	VERB
ap-6083	107	10	by	by	ADP
ap-6083	107	11	the	the	DET
ap-6083	107	12	ideal	ideal	ADJ
ap-6083	107	13	gas	gas	NOUN
ap-6083	107	14	law	law	NOUN
ap-6083	107	15	:	:	PUNCT
ap-6083	107	16	p	p	X
ap-6083	107	17	=	=	X
ap-6083	107	18	(	(	PUNCT
ap-6083	107	19	κ−	κ−	PROPN
ap-6083	107	20	1	1	NUM
ap-6083	107	21	)	)	PUNCT
ap-6083	107	22	[	[	PUNCT
ap-6083	107	23	ρet	ρet	NOUN
ap-6083	107	24	−	−	PROPN
ap-6083	107	25	ρ	ρ	PROPN
ap-6083	107	26	u2	u2	PROPN
ap-6083	107	27	x	x	PROPN
ap-6083	108	1	+	+	CCONJ
ap-6083	108	2	u2	u2	PROPN
ap-6083	108	3	y	y	PROPN
ap-6083	108	4	2	2	NUM
ap-6083	108	5	]	]	PUNCT
ap-6083	108	6	(	(	PUNCT
ap-6083	108	7	4	4	X
ap-6083	108	8	)	)	PUNCT
ap-6083	108	9	we	we	PRON
ap-6083	108	10	distinguish	distinguish	VERB
ap-6083	108	11	four	four	NUM
ap-6083	108	12	domain	domain	NOUN
ap-6083	108	13	locations	location	NOUN
ap-6083	108	14	with	with	ADP
ap-6083	108	15	a	a	DET
ap-6083	108	16	different	different	ADJ
ap-6083	108	17	boundary	boundary	ADJ
ap-6083	108	18	condition	condition	NOUN
ap-6083	108	19	prescribed	prescribe	VERB
ap-6083	108	20	:	:	PUNCT
ap-6083	108	21	the	the	DET
ap-6083	108	22	blade	blade	NOUN
ap-6083	108	23	wall	wall	PROPN
ap-6083	108	24	γw	γw	PROPN
ap-6083	108	25	,	,	PUNCT
ap-6083	108	26	the	the	DET
ap-6083	108	27	domain	domain	NOUN
ap-6083	108	28	inlet	inlet	VERB
ap-6083	108	29	γin	γin	NOUN
ap-6083	108	30	,	,	PUNCT
ap-6083	108	31	the	the	DET
ap-6083	108	32	domain	domain	NOUN
ap-6083	108	33	outlet	outlet	NOUN
ap-6083	108	34	γout	γout	NOUN
ap-6083	108	35	and	and	CCONJ
ap-6083	108	36	the	the	DET
ap-6083	108	37	periodic	periodic	ADJ
ap-6083	108	38	boundaries	boundary	NOUN
ap-6083	108	39	γper	γper	NOUN
ap-6083	108	40	,	,	PUNCT
ap-6083	108	41	l	l	NOUN
ap-6083	108	42	,	,	PUNCT
ap-6083	108	43	γper	γper	NOUN
ap-6083	108	44	,	,	PUNCT
ap-6083	108	45	u	u	NOUN
ap-6083	108	46	(	(	PUNCT
ap-6083	108	47	fig	fig	NOUN
ap-6083	108	48	.	.	PUNCT
ap-6083	108	49	1	1	NUM
ap-6083	108	50	)	)	PUNCT
ap-6083	108	51	.	.	PUNCT
ap-6083	109	1	the	the	DET
ap-6083	109	2	blade	blade	NOUN
ap-6083	109	3	wall	wall	NOUN
ap-6083	109	4	is	be	AUX
ap-6083	109	5	treated	treat	VERB
ap-6083	109	6	with	with	ADP
ap-6083	109	7	a	a	DET
ap-6083	109	8	free	free	ADJ
ap-6083	109	9	-	-	PUNCT
ap-6083	109	10	slip	slip	NOUN
ap-6083	109	11	boundary	boundary	ADJ
ap-6083	109	12	condition	condition	NOUN
ap-6083	109	13	,	,	PUNCT
ap-6083	109	14	requiring	require	VERB
ap-6083	109	15	that	that	SCONJ
ap-6083	109	16	the	the	DET
ap-6083	109	17	normal	normal	ADJ
ap-6083	109	18	component	component	NOUN
ap-6083	109	19	of	of	ADP
ap-6083	109	20	flow	flow	NOUN
ap-6083	109	21	velocity	velocity	NOUN
ap-6083	109	22	is	be	AUX
ap-6083	109	23	equal	equal	ADJ
ap-6083	109	24	to	to	ADP
ap-6083	109	25	the	the	DET
ap-6083	109	26	normal	normal	ADJ
ap-6083	109	27	component	component	NOUN
ap-6083	109	28	of	of	ADP
ap-6083	109	29	wall	wall	PROPN
ap-6083	109	30	movement	movement	PROPN
ap-6083	109	31	velocity	velocity	NOUN
ap-6083	109	32	(	(	PUNCT
ap-6083	109	33	eq	eq	NOUN
ap-6083	109	34	.	.	PROPN
ap-6083	109	35	5	5	NUM
ap-6083	109	36	)	)	PUNCT
ap-6083	109	37	.	.	PUNCT
ap-6083	110	1	[	[	X
ap-6083	110	2	(	(	PUNCT
ap-6083	110	3	u−	u−	PROPN
ap-6083	110	4	s	s	NOUN
ap-6083	110	5	)	)	PUNCT
ap-6083	110	6	·	·	PUNCT
ap-6083	110	7	n]γw	n]γw	X
ap-6083	110	8	=	=	SYM
ap-6083	110	9	0	0	PUNCT
ap-6083	110	10	(	(	PUNCT
ap-6083	110	11	5	5	NUM
ap-6083	110	12	)	)	PUNCT
ap-6083	110	13	uniform	uniform	ADJ
ap-6083	110	14	stagnation	stagnation	NOUN
ap-6083	110	15	conditions	condition	NOUN
ap-6083	110	16	are	be	AUX
ap-6083	110	17	prescribed	prescribe	VERB
ap-6083	110	18	at	at	ADP
ap-6083	110	19	the	the	DET
ap-6083	110	20	inlet	inlet	NOUN
ap-6083	110	21	and	and	CCONJ
ap-6083	110	22	the	the	DET
ap-6083	110	23	local	local	ADJ
ap-6083	110	24	characteristic	characteristic	ADJ
ap-6083	110	25	variables	variable	NOUN
ap-6083	110	26	are	be	AUX
ap-6083	110	27	calculated	calculate	VERB
ap-6083	110	28	via	via	ADP
ap-6083	110	29	isentropic	isentropic	ADJ
ap-6083	110	30	relations	relation	NOUN
ap-6083	110	31	,	,	PUNCT
ap-6083	110	32	using	use	VERB
ap-6083	110	33	the	the	DET
ap-6083	110	34	mach	mach	NOUN
ap-6083	110	35	number	number	NOUN
ap-6083	110	36	extrapolated	extrapolate	VERB
ap-6083	110	37	from	from	ADP
ap-6083	110	38	the	the	DET
ap-6083	110	39	inside	inside	NOUN
ap-6083	110	40	of	of	ADP
ap-6083	110	41	the	the	DET
ap-6083	110	42	domain	domain	NOUN
ap-6083	110	43	.	.	PUNCT
ap-6083	111	1	at	at	ADP
ap-6083	111	2	the	the	DET
ap-6083	111	3	outlet	outlet	NOUN
ap-6083	111	4	,	,	PUNCT
ap-6083	111	5	the	the	DET
ap-6083	111	6	circumferentially	circumferentially	ADV
ap-6083	111	7	average	average	ADJ
ap-6083	111	8	static	static	ADJ
ap-6083	111	9	pressure	pressure	NOUN
ap-6083	111	10	is	be	AUX
ap-6083	111	11	prescribed	prescribe	VERB
ap-6083	111	12	.	.	PUNCT
ap-6083	112	1	the	the	DET
ap-6083	112	2	number	number	NOUN
ap-6083	112	3	of	of	ADP
ap-6083	112	4	blades	blade	NOUN
ap-6083	112	5	included	include	VERB
ap-6083	112	6	in	in	ADP
ap-6083	112	7	the	the	DET
ap-6083	112	8	domain	domain	NOUN
ap-6083	112	9	is	be	AUX
ap-6083	112	10	chosen	choose	VERB
ap-6083	112	11	in	in	ADP
ap-6083	112	12	function	function	NOUN
ap-6083	112	13	of	of	ADP
ap-6083	112	14	the	the	DET
ap-6083	112	15	ibpa	ibpa	NOUN
ap-6083	112	16	,	,	PUNCT
ap-6083	112	17	such	such	ADJ
ap-6083	112	18	that	that	SCONJ
ap-6083	112	19	a	a	DET
ap-6083	112	20	spatial	spatial	ADJ
ap-6083	112	21	periodicity	periodicity	NOUN
ap-6083	112	22	with	with	ADP
ap-6083	112	23	w	w	PROPN
ap-6083	112	24	|γper	|γper	NOUN
ap-6083	112	25	,	,	PUNCT
ap-6083	112	26	l	l	NOUN
ap-6083	112	27	=	=	SYM
ap-6083	112	28	w	w	PROPN
ap-6083	112	29	|γper	|γper	NOUN
ap-6083	112	30	,	,	PUNCT
ap-6083	112	31	u	u	NOUN
ap-6083	112	32	is	be	AUX
ap-6083	112	33	achieved	achieve	VERB
ap-6083	112	34	.	.	PUNCT
ap-6083	113	1	2.2	2.2	NUM
ap-6083	113	2	.	.	PUNCT
ap-6083	114	1	numerical	numerical	PROPN
ap-6083	114	2	scheme	scheme	PROPN
ap-6083	114	3	the	the	DET
ap-6083	114	4	numerical	numerical	ADJ
ap-6083	114	5	solution	solution	NOUN
ap-6083	114	6	employs	employ	VERB
ap-6083	114	7	a	a	DET
ap-6083	114	8	finite	finite	ADJ
ap-6083	114	9	volume	volume	NOUN
ap-6083	114	10	method	method	NOUN
ap-6083	114	11	for	for	ADP
ap-6083	114	12	the	the	DET
ap-6083	114	13	discretization	discretization	NOUN
ap-6083	114	14	of	of	ADP
ap-6083	114	15	euler	euler	NOUN
ap-6083	114	16	equations	equation	NOUN
ap-6083	114	17	in	in	ADP
ap-6083	114	18	ale	ale	NOUN
ap-6083	114	19	formulation	formulation	NOUN
ap-6083	114	20	.	.	PUNCT
ap-6083	115	1	the	the	DET
ap-6083	115	2	cell	cell	NOUN
ap-6083	115	3	-	-	PUNCT
ap-6083	115	4	face	face	NOUN
ap-6083	115	5	fluxes	flux	NOUN
ap-6083	115	6	are	be	AUX
ap-6083	115	7	calculated	calculate	VERB
ap-6083	115	8	137	137	NUM
ap-6083	115	9	marek	marek	PROPN
ap-6083	115	10	pátý	pátý	PROPN
ap-6083	115	11	,	,	PUNCT
ap-6083	115	12	jan	jan	PROPN
ap-6083	115	13	halama	halama	PROPN
ap-6083	115	14	acta	acta	PROPN
ap-6083	115	15	polytechnica	polytechnica	PROPN
ap-6083	115	16	by	by	ADP
ap-6083	115	17	the	the	DET
ap-6083	115	18	ausm+-up	ausm+-up	PROPN
ap-6083	115	19	scheme	scheme	NOUN
ap-6083	115	20	,	,	PUNCT
ap-6083	115	21	introduced	introduce	VERB
ap-6083	115	22	by	by	ADP
ap-6083	115	23	liou	liou	NOUN
ap-6083	115	24	[	[	X
ap-6083	115	25	34	34	NUM
ap-6083	115	26	]	]	PUNCT
ap-6083	115	27	as	as	ADP
ap-6083	115	28	a	a	DET
ap-6083	115	29	modification	modification	NOUN
ap-6083	115	30	of	of	ADP
ap-6083	115	31	the	the	DET
ap-6083	115	32	original	original	ADJ
ap-6083	115	33	ausm+	ausm+	NOUN
ap-6083	115	34	scheme	scheme	NOUN
ap-6083	115	35	[	[	X
ap-6083	115	36	19	19	NUM
ap-6083	115	37	]	]	PUNCT
ap-6083	115	38	.	.	PUNCT
ap-6083	116	1	the	the	DET
ap-6083	116	2	reader	reader	NOUN
ap-6083	116	3	is	be	AUX
ap-6083	116	4	referred	refer	VERB
ap-6083	116	5	to	to	ADP
ap-6083	116	6	the	the	DET
ap-6083	116	7	original	original	ADJ
ap-6083	116	8	paper	paper	NOUN
ap-6083	116	9	for	for	ADP
ap-6083	116	10	details	detail	NOUN
ap-6083	116	11	,	,	PUNCT
ap-6083	116	12	here	here	ADV
ap-6083	116	13	we	we	PRON
ap-6083	116	14	will	will	AUX
ap-6083	116	15	only	only	ADV
ap-6083	116	16	expand	expand	VERB
ap-6083	116	17	on	on	ADP
ap-6083	116	18	the	the	DET
ap-6083	116	19	alterations	alteration	NOUN
ap-6083	116	20	arising	arise	VERB
ap-6083	116	21	due	due	ADP
ap-6083	116	22	to	to	ADP
ap-6083	116	23	the	the	DET
ap-6083	116	24	flux	flux	NOUN
ap-6083	116	25	formulation	formulation	NOUN
ap-6083	116	26	within	within	ADP
ap-6083	116	27	the	the	DET
ap-6083	116	28	ale	ale	NOUN
ap-6083	116	29	reference	reference	NOUN
ap-6083	116	30	frame	frame	NOUN
ap-6083	116	31	.	.	PUNCT
ap-6083	117	1	the	the	DET
ap-6083	117	2	underlying	underlying	ADJ
ap-6083	117	3	idea	idea	NOUN
ap-6083	117	4	of	of	ADP
ap-6083	117	5	the	the	DET
ap-6083	117	6	ausm	ausm	NOUN
ap-6083	117	7	scheme	scheme	NOUN
ap-6083	117	8	family	family	NOUN
ap-6083	117	9	is	be	AUX
ap-6083	117	10	to	to	PART
ap-6083	117	11	split	split	VERB
ap-6083	117	12	the	the	DET
ap-6083	117	13	flux	flux	NOUN
ap-6083	117	14	into	into	ADP
ap-6083	117	15	convective	convective	ADJ
ap-6083	117	16	and	and	CCONJ
ap-6083	117	17	pressure	pressure	NOUN
ap-6083	117	18	parts	part	NOUN
ap-6083	117	19	and	and	CCONJ
ap-6083	117	20	to	to	PART
ap-6083	117	21	treat	treat	VERB
ap-6083	117	22	them	they	PRON
ap-6083	117	23	separately	separately	ADV
ap-6083	117	24	:	:	PUNCT
ap-6083	118	1	f̃1/2	f̃1/2	PROPN
ap-6083	118	2	=	=	SYM
ap-6083	118	3	f̃	f̃	PROPN
ap-6083	118	4	c	c	NOUN
ap-6083	118	5	1/2	1/2	NUM
ap-6083	118	6	+	+	NUM
ap-6083	118	7	f̃	f̃	PROPN
ap-6083	118	8	p	p	PROPN
ap-6083	118	9	1/2	1/2	NUM
ap-6083	118	10	,	,	PUNCT
ap-6083	118	11	(	(	PUNCT
ap-6083	118	12	6	6	NUM
ap-6083	118	13	)	)	PUNCT
ap-6083	118	14	where	where	SCONJ
ap-6083	118	15	the	the	DET
ap-6083	118	16	1/2	1/2	NUM
ap-6083	118	17	subscript	subscript	NOUN
ap-6083	118	18	indicates	indicate	VERB
ap-6083	118	19	evaluation	evaluation	NOUN
ap-6083	118	20	at	at	ADP
ap-6083	118	21	the	the	DET
ap-6083	118	22	cell	cell	NOUN
ap-6083	118	23	interface	interface	NOUN
ap-6083	118	24	.	.	PUNCT
ap-6083	119	1	the	the	DET
ap-6083	119	2	definition	definition	NOUN
ap-6083	119	3	of	of	ADP
ap-6083	119	4	the	the	DET
ap-6083	119	5	pressure	pressure	NOUN
ap-6083	119	6	term	term	NOUN
ap-6083	119	7	can	can	AUX
ap-6083	119	8	be	be	AUX
ap-6083	119	9	found	find	VERB
ap-6083	119	10	in	in	ADP
ap-6083	119	11	the	the	DET
ap-6083	119	12	paper	paper	NOUN
ap-6083	119	13	of	of	ADP
ap-6083	119	14	darracq	darracq	NOUN
ap-6083	119	15	et	et	PROPN
ap-6083	119	16	al	al	PROPN
ap-6083	119	17	.	.	PUNCT
ap-6083	120	1	[	[	X
ap-6083	120	2	37	37	NUM
ap-6083	120	3	]	]	PUNCT
ap-6083	120	4	,	,	PUNCT
ap-6083	120	5	who	who	PRON
ap-6083	120	6	derived	derive	VERB
ap-6083	120	7	the	the	DET
ap-6083	120	8	ale	ale	NOUN
ap-6083	120	9	formulation	formulation	NOUN
ap-6083	120	10	for	for	ADP
ap-6083	120	11	an	an	DET
ap-6083	120	12	m	m	NOUN
ap-6083	120	13	-	-	ADJ
ap-6083	120	14	split	split	VERB
ap-6083	120	15	ausm+	ausm+	NOUN
ap-6083	120	16	scheme	scheme	NOUN
ap-6083	120	17	.	.	PUNCT
ap-6083	121	1	in	in	ADP
ap-6083	121	2	contrast	contrast	NOUN
ap-6083	121	3	to	to	ADP
ap-6083	121	4	the	the	DET
ap-6083	121	5	original	original	ADJ
ap-6083	121	6	eulerian	eulerian	ADJ
ap-6083	121	7	formulation	formulation	NOUN
ap-6083	121	8	,	,	PUNCT
ap-6083	121	9	a	a	DET
ap-6083	121	10	new	new	ADJ
ap-6083	121	11	term	term	NOUN
ap-6083	121	12	ps	ps	PROPN
ap-6083	121	13	·	·	PUNCT
ap-6083	122	1	n	n	PRON
ap-6083	122	2	appears	appear	VERB
ap-6083	122	3	:	:	PUNCT
ap-6083	122	4	f̃	f̃	PROPN
ap-6083	122	5	p	p	PROPN
ap-6083	122	6	1/2	1/2	NUM
ap-6083	122	7	=	=	SYM
ap-6083	122	8			PROPN
ap-6083	122	9	0	0	NUM
ap-6083	122	10	pn	pn	PROPN
ap-6083	122	11	ps	ps	PROPN
ap-6083	122	12	·	·	PUNCT
ap-6083	122	13	n	n	CCONJ
ap-6083	122	14			NOUN
ap-6083	122	15	1/2	1/2	NUM
ap-6083	122	16	(	(	PUNCT
ap-6083	122	17	7	7	NUM
ap-6083	122	18	)	)	PUNCT
ap-6083	122	19	the	the	DET
ap-6083	122	20	convective	convective	ADJ
ap-6083	122	21	flux	flux	NOUN
ap-6083	122	22	for	for	ADP
ap-6083	122	23	the	the	DET
ap-6083	122	24	ausm+-up	ausm+-up	PROPN
ap-6083	122	25	method	method	NOUN
ap-6083	122	26	is	be	AUX
ap-6083	122	27	defined	define	VERB
ap-6083	122	28	as	as	ADP
ap-6083	122	29	[	[	X
ap-6083	122	30	34	34	NUM
ap-6083	122	31	]	]	X
ap-6083	122	32	:	:	PUNCT
ap-6083	122	33	f̃	f̃	PROPN
ap-6083	122	34	c	c	PROPN
ap-6083	122	35	1/2	1/2	NUM
ap-6083	122	36	=	=	PUNCT
ap-6083	122	37	ṁ1/2	ṁ1/2	PUNCT
ap-6083	122	38			PROPN
ap-6083	122	39	1	1	NUM
ap-6083	122	40	u	u	NOUN
ap-6083	122	41	et	et	NOUN
ap-6083	122	42	+	+	CCONJ
ap-6083	122	43	p	p	X
ap-6083	122	44	/	/	SYM
ap-6083	122	45	ρ	ρ	NOUN
ap-6083	122	46			NOUN
ap-6083	122	47	l	l	NOUN
ap-6083	122	48	/	/	SYM
ap-6083	122	49	r	r	NOUN
ap-6083	122	50	(	(	PUNCT
ap-6083	122	51	8)	8)	NUM
ap-6083	122	52	the	the	DET
ap-6083	122	53	mass	mass	ADJ
ap-6083	122	54	-	-	PUNCT
ap-6083	122	55	flow	flow	NOUN
ap-6083	122	56	calculation	calculation	NOUN
ap-6083	122	57	needs	need	VERB
ap-6083	122	58	to	to	PART
ap-6083	122	59	be	be	AUX
ap-6083	122	60	updated	update	VERB
ap-6083	122	61	for	for	ADP
ap-6083	122	62	the	the	DET
ap-6083	122	63	ale	ale	NOUN
ap-6083	122	64	formulation	formulation	NOUN
ap-6083	122	65	,	,	PUNCT
ap-6083	122	66	such	such	ADJ
ap-6083	122	67	that	that	SCONJ
ap-6083	122	68	it	it	PRON
ap-6083	122	69	uses	use	VERB
ap-6083	122	70	a	a	DET
ap-6083	122	71	relative	relative	ADJ
ap-6083	122	72	mach	mach	NOUN
ap-6083	122	73	number	number	NOUN
ap-6083	122	74	mr	mr	PROPN
ap-6083	122	75	=	=	X
ap-6083	122	76	(	(	PUNCT
ap-6083	122	77	u	u	NOUN
ap-6083	122	78	−	−	PROPN
ap-6083	122	79	s	s	PART
ap-6083	122	80	)	)	PUNCT
ap-6083	122	81	·	·	PUNCT
ap-6083	123	1	n	n	CCONJ
ap-6083	123	2	/	/	SYM
ap-6083	123	3	a	a	PRON
ap-6083	123	4	instead	instead	NOUN
ap-6083	123	5	of	of	ADP
ap-6083	123	6	an	an	DET
ap-6083	123	7	absolute	absolute	ADJ
ap-6083	123	8	one	one	NOUN
ap-6083	123	9	:	:	PUNCT
ap-6083	123	10	ṁ1/2	ṁ1/2	PUNCT
ap-6083	124	1	=	=	NOUN
ap-6083	124	2	a1/2	a1/2	PROPN
ap-6083	124	3	m	m	VERB
ap-6083	124	4	r	r	NOUN
ap-6083	124	5	1/2	1/2	NUM
ap-6083	124	6	{	{	PUNCT
ap-6083	124	7	ρl	ρl	ADP
ap-6083	124	8	if	if	SCONJ
ap-6083	124	9	mr	mr	PROPN
ap-6083	124	10	1/2	1/2	NUM
ap-6083	124	11	>	>	PUNCT
ap-6083	124	12	0	0	NUM
ap-6083	124	13	,	,	PUNCT
ap-6083	124	14	ρr	ρr	VERB
ap-6083	124	15	otherwise	otherwise	ADV
ap-6083	124	16	(	(	PUNCT
ap-6083	124	17	9	9	X
ap-6083	124	18	)	)	PUNCT
ap-6083	124	19	special	special	ADJ
ap-6083	124	20	attention	attention	NOUN
ap-6083	124	21	needs	need	VERB
ap-6083	124	22	to	to	PART
ap-6083	124	23	be	be	AUX
ap-6083	124	24	paid	pay	VERB
ap-6083	124	25	to	to	ADP
ap-6083	124	26	the	the	DET
ap-6083	124	27	integration	integration	NOUN
ap-6083	124	28	in	in	ADP
ap-6083	124	29	time	time	NOUN
ap-6083	124	30	for	for	ADP
ap-6083	124	31	the	the	DET
ap-6083	124	32	ale	ale	NOUN
ap-6083	124	33	formulation	formulation	NOUN
ap-6083	124	34	.	.	PUNCT
ap-6083	125	1	the	the	DET
ap-6083	125	2	stability	stability	NOUN
ap-6083	125	3	and	and	CCONJ
ap-6083	125	4	accuracy	accuracy	NOUN
ap-6083	125	5	of	of	ADP
ap-6083	125	6	the	the	DET
ap-6083	125	7	time	time	NOUN
ap-6083	125	8	-	-	PUNCT
ap-6083	125	9	stepping	step	VERB
ap-6083	125	10	method	method	NOUN
ap-6083	125	11	is	be	AUX
ap-6083	125	12	conditioned	condition	VERB
ap-6083	125	13	by	by	ADP
ap-6083	125	14	its	its	PRON
ap-6083	125	15	compliance	compliance	NOUN
ap-6083	125	16	with	with	ADP
ap-6083	125	17	the	the	DET
ap-6083	125	18	geometric	geometric	ADJ
ap-6083	125	19	conservation	conservation	NOUN
ap-6083	125	20	law	law	NOUN
ap-6083	125	21	(	(	PUNCT
ap-6083	125	22	gcl	gcl	NOUN
ap-6083	125	23	)	)	PUNCT
ap-6083	125	24	which	which	PRON
ap-6083	125	25	ensures	ensure	VERB
ap-6083	125	26	an	an	DET
ap-6083	125	27	exact	exact	ADJ
ap-6083	125	28	reproduction	reproduction	NOUN
ap-6083	125	29	of	of	ADP
ap-6083	125	30	a	a	DET
ap-6083	125	31	constant	constant	ADJ
ap-6083	125	32	solution	solution	NOUN
ap-6083	125	33	.	.	PUNCT
ap-6083	126	1	in	in	ADP
ap-6083	126	2	case	case	NOUN
ap-6083	126	3	of	of	ADP
ap-6083	126	4	the	the	DET
ap-6083	126	5	explicit	explicit	ADJ
ap-6083	126	6	euler	euler	NOUN
ap-6083	126	7	scheme	scheme	NOUN
ap-6083	126	8	used	use	VERB
ap-6083	126	9	for	for	ADP
ap-6083	126	10	time	time	NOUN
ap-6083	126	11	integration	integration	NOUN
ap-6083	126	12	in	in	ADP
ap-6083	126	13	the	the	DET
ap-6083	126	14	present	present	ADJ
ap-6083	126	15	work	work	NOUN
ap-6083	126	16	,	,	PUNCT
ap-6083	126	17	this	this	PRON
ap-6083	126	18	requires	require	VERB
ap-6083	126	19	that	that	SCONJ
ap-6083	126	20	the	the	DET
ap-6083	126	21	fluxes	flux	NOUN
ap-6083	126	22	are	be	AUX
ap-6083	126	23	evaluated	evaluate	VERB
ap-6083	126	24	on	on	ADP
ap-6083	126	25	a	a	DET
ap-6083	126	26	midpoint	midpoint	NOUN
ap-6083	126	27	grid	grid	NOUN
ap-6083	126	28	in	in	ADP
ap-6083	126	29	between	between	ADP
ap-6083	126	30	the	the	DET
ap-6083	126	31	present	present	NOUN
ap-6083	126	32	and	and	CCONJ
ap-6083	126	33	the	the	DET
ap-6083	126	34	next	next	ADJ
ap-6083	126	35	timestep	timestep	NOUN
ap-6083	126	36	[	[	X
ap-6083	126	37	36	36	NUM
ap-6083	126	38	]	]	PUNCT
ap-6083	126	39	.	.	PUNCT
ap-6083	127	1	2.3	2.3	NUM
ap-6083	127	2	.	.	PUNCT
ap-6083	128	1	gradient	gradient	ADJ
ap-6083	128	2	reconstruction	reconstruction	NOUN
ap-6083	128	3	and	and	CCONJ
ap-6083	128	4	limiting	limit	VERB
ap-6083	128	5	the	the	DET
ap-6083	128	6	approximation	approximation	NOUN
ap-6083	128	7	of	of	ADP
ap-6083	128	8	local	local	ADJ
ap-6083	128	9	gradients	gradient	NOUN
ap-6083	128	10	for	for	ADP
ap-6083	128	11	the	the	DET
ap-6083	128	12	muscltype	muscltype	NOUN
ap-6083	128	13	reconstruction	reconstruction	NOUN
ap-6083	128	14	is	be	AUX
ap-6083	128	15	performed	perform	VERB
ap-6083	128	16	by	by	ADP
ap-6083	128	17	a	a	DET
ap-6083	128	18	weighted	weight	VERB
ap-6083	128	19	least	least	ADJ
ap-6083	128	20	squares	square	NOUN
ap-6083	128	21	method	method	NOUN
ap-6083	128	22	.	.	PUNCT
ap-6083	129	1	for	for	ADP
ap-6083	129	2	each	each	DET
ap-6083	129	3	cell	cell	NOUN
ap-6083	129	4	a	a	DET
ap-6083	129	5	stencil	stencil	NOUN
ap-6083	129	6	is	be	AUX
ap-6083	129	7	selected	select	VERB
ap-6083	129	8	,	,	PUNCT
ap-6083	129	9	including	include	VERB
ap-6083	129	10	either	either	CCONJ
ap-6083	129	11	only	only	ADV
ap-6083	129	12	its	its	PRON
ap-6083	129	13	neighbours	neighbour	NOUN
ap-6083	129	14	with	with	ADP
ap-6083	129	15	a	a	DET
ap-6083	129	16	common	common	ADJ
ap-6083	129	17	face	face	NOUN
ap-6083	129	18	,	,	PUNCT
ap-6083	129	19	or	or	CCONJ
ap-6083	129	20	also	also	ADV
ap-6083	129	21	those	those	PRON
ap-6083	129	22	sharing	share	VERB
ap-6083	129	23	only	only	ADV
ap-6083	129	24	a	a	DET
ap-6083	129	25	vertex	vertex	NOUN
ap-6083	129	26	.	.	PUNCT
ap-6083	130	1	a	a	DET
ap-6083	130	2	plane	plane	NOUN
ap-6083	130	3	is	be	AUX
ap-6083	130	4	fitted	fit	VERB
ap-6083	130	5	to	to	ADP
ap-6083	130	6	this	this	DET
ap-6083	130	7	data	data	NOUN
ap-6083	130	8	,	,	PUNCT
ap-6083	130	9	resulting	result	VERB
ap-6083	130	10	into	into	ADP
ap-6083	130	11	an	an	DET
ap-6083	130	12	overdetermined	overdetermine	VERB
ap-6083	130	13	linear	linear	NOUN
ap-6083	130	14	system	system	NOUN
ap-6083	130	15	of	of	ADP
ap-6083	130	16	equations	equation	NOUN
ap-6083	131	1	[	[	X
ap-6083	131	2	38	38	NUM
ap-6083	131	3	]	]	PUNCT
ap-6083	131	4	:	:	PUNCT
ap-6083	131	5			NOUN
ap-6083	132	1	w1(x1	w1(x1	ADP
ap-6083	132	2	−	−	PROPN
ap-6083	132	3	xa	xa	PROPN
ap-6083	132	4	)	)	PUNCT
ap-6083	132	5	w2(y1	w2(y1	ADP
ap-6083	132	6	−	−	PROPN
ap-6083	132	7	ya	ya	NOUN
ap-6083	132	8	)	)	PUNCT
ap-6083	132	9	w2(x2	w2(x2	NOUN
ap-6083	132	10	−	−	PROPN
ap-6083	132	11	xa	xa	PROPN
ap-6083	132	12	)	)	PUNCT
ap-6083	132	13	w2(y2	w2(y2	NOUN
ap-6083	132	14	−	−	PROPN
ap-6083	132	15	ya	ya	PROPN
ap-6083	132	16	)	)	PUNCT
ap-6083	132	17	...	...	PUNCT
ap-6083	132	18	...	...	PUNCT
ap-6083	133	1	wm(xm	wm(xm	NOUN
ap-6083	133	2	−	−	PROPN
ap-6083	133	3	xa	xa	PROPN
ap-6083	133	4	)	)	PUNCT
ap-6083	133	5	wm(ym	wm(ym	PROPN
ap-6083	133	6	−	−	PROPN
ap-6083	133	7	ya	ya	PROPN
ap-6083	133	8	)	)	PUNCT
ap-6083	133	9	∇qa=	∇qa=	X
ap-6083	133	10			PUNCT
ap-6083	133	11	w1(q1	w1(q1	NOUN
ap-6083	133	12	−	−	PROPN
ap-6083	133	13	qa	qa	NOUN
ap-6083	133	14	)	)	PUNCT
ap-6083	133	15	w2(q2	w2(q2	NOUN
ap-6083	133	16	−	−	PROPN
ap-6083	133	17	qa	qa	PROPN
ap-6083	133	18	)	)	PUNCT
ap-6083	133	19	...	...	PUNCT
ap-6083	133	20	wm(qm	wm(qm	VERB
ap-6083	133	21	−	−	X
ap-6083	133	22	qa	qa	PROPN
ap-6083	133	23	)	)	PUNCT
ap-6083	133	24			PROPN
ap-6083	133	25	(	(	PUNCT
ap-6083	133	26	10	10	NUM
ap-6083	133	27	)	)	PUNCT
ap-6083	133	28	here	here	ADV
ap-6083	133	29	the	the	DET
ap-6083	133	30	subscript	subscript	NOUN
ap-6083	133	31	a	a	DET
ap-6083	133	32	denotes	denote	NOUN
ap-6083	133	33	the	the	DET
ap-6083	133	34	concerned	concerned	ADJ
ap-6083	133	35	cell	cell	NOUN
ap-6083	133	36	,	,	PUNCT
ap-6083	133	37	the	the	DET
ap-6083	133	38	subscripts	subscript	NOUN
ap-6083	133	39	1	1	NUM
ap-6083	133	40	...	...	SYM
ap-6083	133	41	m	m	VERB
ap-6083	133	42	its	its	PRON
ap-6083	133	43	neighbours	neighbour	NOUN
ap-6083	133	44	included	include	VERB
ap-6083	133	45	in	in	ADP
ap-6083	133	46	the	the	DET
ap-6083	133	47	stencil	stencil	PROPN
ap-6083	133	48	,	,	PUNCT
ap-6083	133	49	x	x	PROPN
ap-6083	133	50	and	and	CCONJ
ap-6083	133	51	y	y	PROPN
ap-6083	133	52	are	be	AUX
ap-6083	133	53	the	the	DET
ap-6083	133	54	cell	cell	NOUN
ap-6083	133	55	centroid	centroid	NOUN
ap-6083	133	56	coordinates	coordinate	NOUN
ap-6083	133	57	,	,	PUNCT
ap-6083	133	58	q	q	PUNCT
ap-6083	133	59	is	be	AUX
ap-6083	133	60	a	a	DET
ap-6083	133	61	cell	cell	NOUN
ap-6083	133	62	-	-	PUNCT
ap-6083	133	63	averaged	average	VERB
ap-6083	133	64	quantity	quantity	NOUN
ap-6083	133	65	.	.	PUNCT
ap-6083	134	1	each	each	DET
ap-6083	134	2	equation	equation	NOUN
ap-6083	134	3	is	be	AUX
ap-6083	134	4	multiplied	multiply	VERB
ap-6083	134	5	by	by	ADP
ap-6083	134	6	an	an	DET
ap-6083	134	7	inverse	inverse	NOUN
ap-6083	134	8	-	-	PUNCT
ap-6083	134	9	distance	distance	NOUN
ap-6083	134	10	weighting	weighting	NOUN
ap-6083	134	11	factor	factor	NOUN
ap-6083	134	12	wi	wi	PROPN
ap-6083	134	13	=	=	PUNCT
ap-6083	135	1	[	[	X
ap-6083	135	2	√	√	INTJ
ap-6083	135	3	(	(	PUNCT
ap-6083	135	4	xi	xi	X
ap-6083	135	5	−	−	PROPN
ap-6083	135	6	xa)2	xa)2	PROPN
ap-6083	135	7	+	+	CCONJ
ap-6083	135	8	(	(	PUNCT
ap-6083	135	9	yi	yi	NOUN
ap-6083	135	10	−	−	PROPN
ap-6083	135	11	ya)2	ya)2	PROPN
ap-6083	135	12	]	]	PUNCT
ap-6083	135	13	−k	−k	PROPN
ap-6083	135	14	(	(	PUNCT
ap-6083	135	15	11	11	NUM
ap-6083	135	16	)	)	PUNCT
ap-6083	135	17	with	with	ADP
ap-6083	135	18	the	the	DET
ap-6083	135	19	exponent	exponent	NOUN
ap-6083	135	20	k	k	PROPN
ap-6083	135	21	∈	∈	PROPN
ap-6083	135	22	{	{	PUNCT
ap-6083	135	23	0	0	NUM
ap-6083	135	24	,	,	PUNCT
ap-6083	135	25	1	1	NUM
ap-6083	135	26	,	,	PUNCT
ap-6083	135	27	3	3	NUM
ap-6083	135	28	2	2	NUM
ap-6083	135	29	,	,	PUNCT
ap-6083	135	30	2	2	NUM
ap-6083	135	31	}	}	PUNCT
ap-6083	135	32	.	.	PUNCT
ap-6083	136	1	solving	solve	VERB
ap-6083	136	2	the	the	DET
ap-6083	136	3	system	system	NOUN
ap-6083	136	4	via	via	ADP
ap-6083	136	5	the	the	DET
ap-6083	136	6	normal	normal	ADJ
ap-6083	136	7	equation	equation	NOUN
ap-6083	136	8	approach	approach	NOUN
ap-6083	136	9	,	,	PUNCT
ap-6083	136	10	i.e.	i.e.	X
ap-6083	136	11	by	by	ADP
ap-6083	136	12	multiplying	multiply	VERB
ap-6083	136	13	the	the	DET
ap-6083	136	14	system	system	NOUN
ap-6083	136	15	of	of	ADP
ap-6083	136	16	equations	equation	NOUN
ap-6083	136	17	ax	ax	NOUN
ap-6083	136	18	=	=	SYM
ap-6083	136	19	b	b	PROPN
ap-6083	136	20	with	with	ADP
ap-6083	136	21	at	at	ADP
ap-6083	136	22	,	,	PUNCT
ap-6083	136	23	can	can	AUX
ap-6083	136	24	lead	lead	VERB
ap-6083	136	25	to	to	ADP
ap-6083	136	26	a	a	DET
ap-6083	136	27	compromised	compromise	VERB
ap-6083	136	28	accuracy	accuracy	NOUN
ap-6083	136	29	on	on	ADP
ap-6083	136	30	highly	highly	ADV
ap-6083	136	31	stretched	stretch	VERB
ap-6083	136	32	grids	grid	NOUN
ap-6083	136	33	[	[	X
ap-6083	136	34	39	39	NUM
ap-6083	136	35	]	]	PUNCT
ap-6083	136	36	.	.	PUNCT
ap-6083	137	1	the	the	DET
ap-6083	137	2	solution	solution	NOUN
ap-6083	137	3	is	be	AUX
ap-6083	137	4	therefore	therefore	ADV
ap-6083	137	5	realized	realize	VERB
ap-6083	137	6	via	via	ADP
ap-6083	137	7	the	the	DET
ap-6083	137	8	gram	gram	NOUN
ap-6083	137	9	-	-	PUNCT
ap-6083	137	10	schmidt	schmidt	NOUN
ap-6083	137	11	process	process	NOUN
ap-6083	137	12	with	with	ADP
ap-6083	137	13	qr	qr	ADJ
ap-6083	137	14	decomposition	decomposition	NOUN
ap-6083	137	15	.	.	PUNCT
ap-6083	138	1	in	in	ADP
ap-6083	138	2	the	the	DET
ap-6083	138	3	second	second	ADJ
ap-6083	138	4	step	step	NOUN
ap-6083	138	5	of	of	ADP
ap-6083	138	6	gradient	gradient	ADJ
ap-6083	138	7	reconstruction	reconstruction	NOUN
ap-6083	138	8	,	,	PUNCT
ap-6083	138	9	a	a	DET
ap-6083	138	10	limiter	limiter	NOUN
ap-6083	138	11	to	to	PART
ap-6083	138	12	avoid	avoid	VERB
ap-6083	138	13	spurious	spurious	ADJ
ap-6083	138	14	oscillations	oscillation	NOUN
ap-6083	138	15	is	be	AUX
ap-6083	138	16	applied	apply	VERB
ap-6083	138	17	.	.	PUNCT
ap-6083	139	1	the	the	DET
ap-6083	139	2	performance	performance	NOUN
ap-6083	139	3	of	of	ADP
ap-6083	139	4	the	the	DET
ap-6083	139	5	following	follow	VERB
ap-6083	139	6	limiters	limiter	NOUN
ap-6083	139	7	is	be	AUX
ap-6083	139	8	analysed	analyse	VERB
ap-6083	139	9	in	in	ADP
ap-6083	139	10	the	the	DET
ap-6083	139	11	present	present	ADJ
ap-6083	139	12	work	work	NOUN
ap-6083	139	13	:	:	PUNCT
ap-6083	139	14	•	•	NUM
ap-6083	139	15	barth	barth	NOUN
ap-6083	139	16	&	&	CCONJ
ap-6083	139	17	jespersen	jespersen	PROPN
ap-6083	139	18	limiter	limiter	PROPN
ap-6083	139	19	[	[	X
ap-6083	139	20	28	28	NUM
ap-6083	139	21	]	]	X
ap-6083	139	22	:	:	PUNCT
ap-6083	139	23	the	the	DET
ap-6083	139	24	technique	technique	NOUN
ap-6083	139	25	limits	limit	VERB
ap-6083	139	26	the	the	DET
ap-6083	139	27	gradient	gradient	NOUN
ap-6083	139	28	obtained	obtain	VERB
ap-6083	139	29	by	by	ADP
ap-6083	139	30	the	the	DET
ap-6083	139	31	lsq	lsq	NOUN
ap-6083	139	32	method	method	NOUN
ap-6083	139	33	in	in	ADP
ap-6083	139	34	a	a	DET
ap-6083	139	35	scalar	scalar	ADJ
ap-6083	139	36	manner	manner	NOUN
ap-6083	139	37	,	,	PUNCT
ap-6083	139	38	defining	define	VERB
ap-6083	139	39	the	the	DET
ap-6083	139	40	reconstructed	reconstructed	ADJ
ap-6083	139	41	quantity	quantity	NOUN
ap-6083	139	42	within	within	ADP
ap-6083	139	43	the	the	DET
ap-6083	139	44	element	element	NOUN
ap-6083	139	45	a	a	PRON
ap-6083	139	46	as	as	ADP
ap-6083	139	47	:	:	PUNCT
ap-6083	139	48	q(x	q(x	NOUN
ap-6083	139	49	,	,	PUNCT
ap-6083	139	50	y)|a	y)|a	NOUN
ap-6083	139	51	=	=	SYM
ap-6083	139	52	qa	qa	PROPN
ap-6083	139	53	+	+	CCONJ
ap-6083	139	54	ξ∇qa	ξ∇qa	NOUN
ap-6083	139	55	·	·	PUNCT
ap-6083	139	56	∆r	∆r	NOUN
ap-6083	139	57	(	(	PUNCT
ap-6083	139	58	12	12	NUM
ap-6083	139	59	)	)	PUNCT
ap-6083	139	60	first	first	ADV
ap-6083	139	61	the	the	DET
ap-6083	139	62	minimum	minimum	ADJ
ap-6083	139	63	qmina	qmina	NOUN
ap-6083	139	64	and	and	CCONJ
ap-6083	139	65	the	the	DET
ap-6083	139	66	maximum	maximum	ADJ
ap-6083	139	67	qmaxa	qmaxa	NOUN
ap-6083	139	68	of	of	ADP
ap-6083	139	69	the	the	DET
ap-6083	139	70	cell	cell	NOUN
ap-6083	139	71	-	-	PUNCT
ap-6083	139	72	average	average	NOUN
ap-6083	139	73	values	value	NOUN
ap-6083	139	74	on	on	ADP
ap-6083	139	75	a	a	DET
ap-6083	139	76	stencil	stencil	NOUN
ap-6083	139	77	composed	compose	VERB
ap-6083	139	78	of	of	ADP
ap-6083	139	79	the	the	DET
ap-6083	139	80	cell	cell	NOUN
ap-6083	139	81	a	a	PRON
ap-6083	139	82	and	and	CCONJ
ap-6083	139	83	its	its	PRON
ap-6083	139	84	face	face	NOUN
ap-6083	139	85	-	-	PUNCT
ap-6083	139	86	neighbours	neighbour	NOUN
ap-6083	139	87	is	be	AUX
ap-6083	139	88	calculated	calculate	VERB
ap-6083	139	89	and	and	CCONJ
ap-6083	139	90	then	then	ADV
ap-6083	139	91	the	the	DET
ap-6083	139	92	limiter	limiter	NOUN
ap-6083	139	93	ξ	ξ	PROPN
ap-6083	139	94	is	be	AUX
ap-6083	139	95	set	set	VERB
ap-6083	139	96	such	such	ADJ
ap-6083	139	97	that	that	DET
ap-6083	139	98	qminneighbour	qminneighbour	NOUN
ap-6083	139	99	≤	≤	PUNCT
ap-6083	139	100	q(x	q(x	NOUN
ap-6083	139	101	,	,	PUNCT
ap-6083	139	102	y)|a	y)|a	ADJ
ap-6083	139	103	≤	≤	NUM
ap-6083	139	104	qmaxneighbour	qmaxneighbour	NOUN
ap-6083	139	105	(	(	PUNCT
ap-6083	139	106	13	13	NUM
ap-6083	139	107	)	)	PUNCT
ap-6083	139	108	for	for	ADP
ap-6083	139	109	a	a	DET
ap-6083	139	110	linear	linear	ADJ
ap-6083	139	111	reconstruction	reconstruction	NOUN
ap-6083	139	112	the	the	DET
ap-6083	139	113	extrema	extrema	NOUN
ap-6083	139	114	of	of	ADP
ap-6083	139	115	q(x	q(x	NOUN
ap-6083	139	116	,	,	PUNCT
ap-6083	139	117	y)|a	y)|a	NOUN
ap-6083	139	118	occur	occur	VERB
ap-6083	139	119	at	at	ADP
ap-6083	139	120	the	the	DET
ap-6083	139	121	vertices	vertex	NOUN
ap-6083	139	122	of	of	ADP
ap-6083	139	123	the	the	DET
ap-6083	139	124	cell	cell	NOUN
ap-6083	139	125	,	,	PUNCT
ap-6083	139	126	implying	imply	VERB
ap-6083	139	127	that	that	SCONJ
ap-6083	139	128	the	the	DET
ap-6083	139	129	above	above	ADJ
ap-6083	139	130	condition	condition	NOUN
ap-6083	139	131	needs	need	VERB
ap-6083	139	132	to	to	PART
ap-6083	139	133	be	be	AUX
ap-6083	139	134	applied	apply	VERB
ap-6083	139	135	only	only	ADV
ap-6083	139	136	at	at	ADP
ap-6083	139	137	these	these	DET
ap-6083	139	138	points	point	NOUN
ap-6083	139	139	.	.	PUNCT
ap-6083	140	1	sometimes	sometimes	ADV
ap-6083	140	2	a	a	DET
ap-6083	140	3	less	less	ADV
ap-6083	140	4	restrictive	restrictive	ADJ
ap-6083	140	5	procedure	procedure	NOUN
ap-6083	140	6	is	be	AUX
ap-6083	140	7	applied	apply	VERB
ap-6083	140	8	,	,	PUNCT
ap-6083	140	9	requiring	require	VERB
ap-6083	140	10	that	that	SCONJ
ap-6083	140	11	the	the	DET
ap-6083	140	12	condition	condition	NOUN
ap-6083	140	13	is	be	AUX
ap-6083	140	14	satisfied	satisfied	ADJ
ap-6083	140	15	only	only	ADV
ap-6083	140	16	for	for	ADP
ap-6083	140	17	face	face	NOUN
ap-6083	140	18	midpoints	midpoint	NOUN
ap-6083	140	19	.	.	PUNCT
ap-6083	141	1	the	the	DET
ap-6083	141	2	limiter	limiter	NOUN
ap-6083	141	3	of	of	ADP
ap-6083	141	4	barth	barth	NOUN
ap-6083	141	5	&	&	CCONJ
ap-6083	141	6	jespersen	jespersen	PROPN
ap-6083	141	7	is	be	AUX
ap-6083	141	8	also	also	ADV
ap-6083	141	9	sometimes	sometimes	ADV
ap-6083	141	10	referred	refer	VERB
ap-6083	141	11	to	to	ADP
ap-6083	141	12	as	as	ADP
ap-6083	141	13	the	the	DET
ap-6083	141	14	limited	limited	ADJ
ap-6083	141	15	central	central	ADJ
ap-6083	141	16	difference	difference	NOUN
ap-6083	141	17	(	(	PUNCT
ap-6083	141	18	lcd	lcd	NOUN
ap-6083	141	19	)	)	PUNCT
ap-6083	141	20	approach	approach	NOUN
ap-6083	141	21	[	[	X
ap-6083	141	22	40	40	NUM
ap-6083	141	23	]	]	PUNCT
ap-6083	141	24	.	.	PUNCT
ap-6083	142	1	•	•	NUM
ap-6083	142	2	projected	project	VERB
ap-6083	142	3	lcd	lcd	NOUN
ap-6083	142	4	[	[	X
ap-6083	142	5	27	27	NUM
ap-6083	142	6	]	]	X
ap-6083	142	7	:	:	PUNCT
ap-6083	142	8	the	the	DET
ap-6083	142	9	author	author	NOUN
ap-6083	142	10	defines	define	VERB
ap-6083	142	11	a	a	DET
ap-6083	142	12	maximum	maximum	ADJ
ap-6083	142	13	principle	principle	NOUN
ap-6083	142	14	(	(	PUNCT
ap-6083	142	15	mp	mp	NOUN
ap-6083	142	16	)	)	PUNCT
ap-6083	142	17	region	region	NOUN
ap-6083	142	18	to	to	PART
ap-6083	142	19	constrain	constrain	VERB
ap-6083	142	20	the	the	DET
ap-6083	142	21	limited	limited	ADJ
ap-6083	142	22	gradient	gradient	NOUN
ap-6083	142	23	∇qa	∇qa	NOUN
ap-6083	142	24	:	:	PUNCT
ap-6083	142	25	min(qk	min(qk	X
ap-6083	142	26	−	−	PROPN
ap-6083	142	27	qa	qa	PROPN
ap-6083	142	28	,	,	PUNCT
ap-6083	142	29	0	0	NUM
ap-6083	142	30	)	)	PUNCT
ap-6083	142	31	≤	≤	NOUN
ap-6083	142	32	rak	rak	PROPN
ap-6083	142	33	·	·	PUNCT
ap-6083	142	34	∇qa	∇qa	PROPN
ap-6083	142	35	≤	≤	NOUN
ap-6083	142	36	max(qk	max(qk	NOUN
ap-6083	142	37	−	−	PROPN
ap-6083	142	38	qa	qa	PROPN
ap-6083	142	39	,	,	PUNCT
ap-6083	142	40	0	0	NUM
ap-6083	142	41	)	)	PUNCT
ap-6083	142	42	(	(	PUNCT
ap-6083	142	43	14	14	NUM
ap-6083	142	44	)	)	PUNCT
ap-6083	142	45	for	for	ADP
ap-6083	142	46	k	k	PROPN
ap-6083	142	47	=	=	SYM
ap-6083	142	48	1	1	NUM
ap-6083	142	49	...	...	SYM
ap-6083	142	50	m	m	NOUN
ap-6083	142	51	,	,	PUNCT
ap-6083	142	52	where	where	SCONJ
ap-6083	142	53	rak	rak	PROPN
ap-6083	142	54	is	be	AUX
ap-6083	142	55	the	the	DET
ap-6083	142	56	vector	vector	NOUN
ap-6083	142	57	from	from	ADP
ap-6083	142	58	the	the	DET
ap-6083	142	59	centroid	centroid	NOUN
ap-6083	142	60	of	of	ADP
ap-6083	142	61	cella	cella	NOUN
ap-6083	142	62	to	to	ADP
ap-6083	142	63	the	the	DET
ap-6083	142	64	midpoint	midpoint	NOUN
ap-6083	142	65	of	of	ADP
ap-6083	142	66	the	the	DET
ap-6083	142	67	face	face	NOUN
ap-6083	142	68	between	between	ADP
ap-6083	142	69	cells	cell	NOUN
ap-6083	142	70	a	a	PRON
ap-6083	142	71	and	and	CCONJ
ap-6083	142	72	k.	k.	NOUN
ap-6083	142	73	the	the	DET
ap-6083	142	74	lcd	lcd	NOUN
ap-6083	142	75	procedure	procedure	NOUN
ap-6083	142	76	simply	simply	ADV
ap-6083	142	77	scales	scale	VERB
ap-6083	142	78	the	the	DET
ap-6083	142	79	gradient	gradient	NOUN
ap-6083	142	80	such	such	ADJ
ap-6083	142	81	that	that	SCONJ
ap-6083	142	82	it	it	PRON
ap-6083	142	83	lies	lie	VERB
ap-6083	142	84	within	within	ADP
ap-6083	142	85	the	the	DET
ap-6083	142	86	mp	mp	PROPN
ap-6083	142	87	region	region	NOUN
ap-6083	142	88	.	.	PUNCT
ap-6083	143	1	the	the	DET
ap-6083	143	2	procedure	procedure	NOUN
ap-6083	143	3	proposed	propose	VERB
ap-6083	143	4	by	by	ADP
ap-6083	143	5	hubbard	hubbard	PROPN
ap-6083	143	6	,	,	PUNCT
ap-6083	143	7	on	on	ADP
ap-6083	143	8	the	the	DET
ap-6083	143	9	other	other	ADJ
ap-6083	143	10	hand	hand	NOUN
ap-6083	143	11	,	,	PUNCT
ap-6083	143	12	projects	project	VERB
ap-6083	143	13	the	the	DET
ap-6083	143	14	gradient	gradient	NOUN
ap-6083	143	15	onto	onto	ADP
ap-6083	143	16	the	the	DET
ap-6083	143	17	boundary	boundary	NOUN
ap-6083	143	18	of	of	ADP
ap-6083	143	19	the	the	DET
ap-6083	143	20	mp	mp	PROPN
ap-6083	143	21	region	region	NOUN
ap-6083	143	22	.	.	PUNCT
ap-6083	144	1	the	the	DET
ap-6083	144	2	limiter	limiter	NOUN
ap-6083	144	3	is	be	AUX
ap-6083	144	4	therefore	therefore	ADV
ap-6083	144	5	less	less	ADV
ap-6083	144	6	compressive	compressive	ADJ
ap-6083	144	7	138	138	NUM
ap-6083	144	8	vol	vol	NOUN
ap-6083	144	9	.	.	PUNCT
ap-6083	145	1	61	61	NUM
ap-6083	145	2	special	special	ADJ
ap-6083	145	3	issue/2021	issue/2021	NOUN
ap-6083	145	4	numerical	numerical	PROPN
ap-6083	145	5	flutter	flutter	NOUN
ap-6083	145	6	prediction	prediction	NOUN
ap-6083	145	7	and	and	CCONJ
ap-6083	145	8	aims	aim	VERB
ap-6083	145	9	at	at	ADP
ap-6083	145	10	a	a	DET
ap-6083	145	11	better	well	ADJ
ap-6083	145	12	accuracy	accuracy	NOUN
ap-6083	145	13	.	.	PUNCT
ap-6083	146	1	it	it	PRON
ap-6083	146	2	should	should	AUX
ap-6083	146	3	be	be	AUX
ap-6083	146	4	noted	note	VERB
ap-6083	146	5	that	that	SCONJ
ap-6083	146	6	in	in	ADP
ap-6083	146	7	our	our	PRON
ap-6083	146	8	implementation	implementation	NOUN
ap-6083	146	9	the	the	DET
ap-6083	146	10	gradient	gradient	NOUN
ap-6083	146	11	is	be	AUX
ap-6083	146	12	obtained	obtain	VERB
ap-6083	146	13	by	by	ADP
ap-6083	146	14	the	the	DET
ap-6083	146	15	weighted	weight	VERB
ap-6083	146	16	least	least	ADJ
ap-6083	146	17	squares	square	NOUN
ap-6083	146	18	method	method	NOUN
ap-6083	146	19	,	,	PUNCT
ap-6083	146	20	which	which	PRON
ap-6083	146	21	differs	differ	VERB
ap-6083	146	22	from	from	ADP
ap-6083	146	23	the	the	DET
ap-6083	146	24	approach	approach	NOUN
ap-6083	146	25	employed	employ	VERB
ap-6083	146	26	by	by	ADP
ap-6083	146	27	hubbard	hubbard	PROPN
ap-6083	146	28	.	.	PUNCT
ap-6083	147	1	•	•	NUM
ap-6083	147	2	multidimensional	multidimensional	ADJ
ap-6083	147	3	limiting	limiting	NOUN
ap-6083	147	4	process	process	NOUN
ap-6083	147	5	(	(	PUNCT
ap-6083	147	6	mlp	mlp	NOUN
ap-6083	147	7	)	)	PUNCT
ap-6083	148	1	[	[	X
ap-6083	148	2	31	31	NUM
ap-6083	148	3	]	]	PUNCT
ap-6083	148	4	:	:	PUNCT
ap-6083	148	5	the	the	DET
ap-6083	148	6	mlp	mlp	NOUN
ap-6083	148	7	bears	bear	VERB
ap-6083	148	8	resemblance	resemblance	VERB
ap-6083	148	9	to	to	ADP
ap-6083	148	10	the	the	DET
ap-6083	148	11	limiter	limiter	NOUN
ap-6083	148	12	of	of	ADP
ap-6083	148	13	barth	barth	NOUN
ap-6083	148	14	&	&	CCONJ
ap-6083	148	15	jespersen	jespersen	PROPN
ap-6083	148	16	in	in	SCONJ
ap-6083	148	17	that	that	SCONJ
ap-6083	148	18	it	it	PRON
ap-6083	148	19	satisfies	satisfy	VERB
ap-6083	148	20	the	the	DET
ap-6083	148	21	maximum	maximum	ADJ
ap-6083	148	22	principle	principle	NOUN
ap-6083	148	23	,	,	PUNCT
ap-6083	148	24	but	but	CCONJ
ap-6083	148	25	it	it	PRON
ap-6083	148	26	differs	differ	VERB
ap-6083	148	27	in	in	ADP
ap-6083	148	28	the	the	DET
ap-6083	148	29	extent	extent	NOUN
ap-6083	148	30	of	of	ADP
ap-6083	148	31	the	the	DET
ap-6083	148	32	stencil	stencil	PROPN
ap-6083	148	33	involved	involve	VERB
ap-6083	148	34	.	.	PUNCT
ap-6083	149	1	the	the	DET
ap-6083	149	2	procedure	procedure	NOUN
ap-6083	149	3	applies	apply	VERB
ap-6083	149	4	to	to	ADP
ap-6083	149	5	each	each	DET
ap-6083	149	6	vertex	vertex	NOUN
ap-6083	149	7	of	of	ADP
ap-6083	149	8	a	a	DET
ap-6083	149	9	given	give	VERB
ap-6083	149	10	cell	cell	NOUN
ap-6083	149	11	the	the	DET
ap-6083	149	12	condition	condition	NOUN
ap-6083	149	13	qminneighbour	qminneighbour	NOUN
ap-6083	149	14	≤	≤	NUM
ap-6083	149	15	qvtx	qvtx	VERB
ap-6083	149	16	≤	≤	PROPN
ap-6083	149	17	qmaxneighbour	qmaxneighbour	NOUN
ap-6083	149	18	(	(	PUNCT
ap-6083	149	19	15	15	NUM
ap-6083	149	20	)	)	PUNCT
ap-6083	149	21	where	where	SCONJ
ap-6083	149	22	qvtx	qvtx	PROPN
ap-6083	149	23	is	be	AUX
ap-6083	149	24	the	the	DET
ap-6083	149	25	reconstructed	reconstructed	ADJ
ap-6083	149	26	vertex	vertex	NOUN
ap-6083	149	27	value	value	NOUN
ap-6083	149	28	,	,	PUNCT
ap-6083	149	29	obtained	obtain	VERB
ap-6083	149	30	by	by	ADP
ap-6083	149	31	eq	eq	PROPN
ap-6083	149	32	.	.	PROPN
ap-6083	149	33	12	12	NUM
ap-6083	149	34	,	,	PUNCT
ap-6083	149	35	and	and	CCONJ
ap-6083	149	36	qminneighbour	qminneighbour	NOUN
ap-6083	149	37	,	,	PUNCT
ap-6083	149	38	q	q	PROPN
ap-6083	149	39	max	max	PROPN
ap-6083	149	40	neighbour	neighbour	NOUN
ap-6083	149	41	are	be	AUX
ap-6083	149	42	the	the	DET
ap-6083	149	43	minimum	minimum	NOUN
ap-6083	149	44	and	and	CCONJ
ap-6083	149	45	maximum	maximum	NOUN
ap-6083	149	46	of	of	ADP
ap-6083	149	47	the	the	DET
ap-6083	149	48	cell	cell	NOUN
ap-6083	149	49	-	-	PUNCT
ap-6083	149	50	average	average	NOUN
ap-6083	149	51	values	value	NOUN
ap-6083	149	52	among	among	ADP
ap-6083	149	53	the	the	DET
ap-6083	149	54	cells	cell	NOUN
ap-6083	149	55	sharing	share	VERB
ap-6083	149	56	the	the	DET
ap-6083	149	57	vertex	vertex	NOUN
ap-6083	149	58	.	.	PUNCT
ap-6083	150	1	from	from	ADP
ap-6083	150	2	this	this	DET
ap-6083	150	3	condition	condition	NOUN
ap-6083	150	4	the	the	DET
ap-6083	150	5	constraints	constraint	NOUN
ap-6083	150	6	for	for	ADP
ap-6083	150	7	the	the	DET
ap-6083	150	8	limiting	limit	VERB
ap-6083	150	9	function	function	NOUN
ap-6083	150	10	ξ	ξ	PROPN
ap-6083	150	11	are	be	AUX
ap-6083	150	12	derived	derive	VERB
ap-6083	150	13	.	.	PUNCT
ap-6083	151	1	park	park	NOUN
ap-6083	151	2	et	et	PROPN
ap-6083	151	3	al	al	PROPN
ap-6083	151	4	.	.	PUNCT
ap-6083	152	1	propose	propose	VERB
ap-6083	152	2	two	two	NUM
ap-6083	152	3	definitions	definition	NOUN
ap-6083	152	4	of	of	ADP
ap-6083	152	5	ξ	ξ	NOUN
ap-6083	152	6	:	:	PUNCT
ap-6083	152	7	one	one	NUM
ap-6083	152	8	is	be	AUX
ap-6083	152	9	denoted	denote	VERB
ap-6083	152	10	as	as	ADP
ap-6083	152	11	mlp	mlp	NOUN
ap-6083	152	12	-	-	PUNCT
ap-6083	152	13	u1	u1	NOUN
ap-6083	152	14	and	and	CCONJ
ap-6083	152	15	it	it	PRON
ap-6083	152	16	represents	represent	VERB
ap-6083	152	17	the	the	DET
ap-6083	152	18	steepest	steep	ADJ
ap-6083	152	19	slope	slope	NOUN
ap-6083	152	20	in	in	ADP
ap-6083	152	21	the	the	DET
ap-6083	152	22	allowable	allowable	ADJ
ap-6083	152	23	region	region	NOUN
ap-6083	152	24	.	.	PUNCT
ap-6083	153	1	the	the	DET
ap-6083	153	2	limiter	limiter	NOUN
ap-6083	153	3	is	be	AUX
ap-6083	153	4	non	non	ADJ
ap-6083	153	5	-	-	ADJ
ap-6083	153	6	differentiable	differentiable	ADJ
ap-6083	153	7	,	,	PUNCT
ap-6083	153	8	which	which	PRON
ap-6083	153	9	can	can	AUX
ap-6083	153	10	cause	cause	VERB
ap-6083	153	11	convergence	convergence	NOUN
ap-6083	153	12	problems	problem	NOUN
ap-6083	153	13	for	for	ADP
ap-6083	153	14	steady	steady	ADJ
ap-6083	153	15	computations	computation	NOUN
ap-6083	153	16	.	.	PUNCT
ap-6083	154	1	the	the	DET
ap-6083	154	2	latter	latter	ADJ
ap-6083	154	3	,	,	PUNCT
ap-6083	154	4	mlp	mlp	PROPN
ap-6083	154	5	-	-	PUNCT
ap-6083	154	6	u2	u2	PROPN
ap-6083	154	7	,	,	PUNCT
ap-6083	154	8	is	be	AUX
ap-6083	154	9	a	a	DET
ap-6083	154	10	differentiable	differentiable	ADJ
ap-6083	154	11	function	function	NOUN
ap-6083	154	12	derived	derive	VERB
ap-6083	154	13	from	from	ADP
ap-6083	154	14	the	the	DET
ap-6083	154	15	limiter	limiter	NOUN
ap-6083	154	16	of	of	ADP
ap-6083	154	17	venkatakrishnan	venkatakrishnan	NOUN
ap-6083	154	18	[	[	X
ap-6083	154	19	29	29	NUM
ap-6083	154	20	]	]	PUNCT
ap-6083	154	21	.	.	PUNCT
ap-6083	155	1	it	it	PRON
ap-6083	155	2	also	also	ADV
ap-6083	155	3	employs	employ	VERB
ap-6083	155	4	a	a	DET
ap-6083	155	5	constant	constant	ADJ
ap-6083	155	6	k	k	NOUN
ap-6083	155	7	that	that	PRON
ap-6083	155	8	needs	need	VERB
ap-6083	155	9	to	to	PART
ap-6083	155	10	be	be	AUX
ap-6083	155	11	tuned	tune	VERB
ap-6083	155	12	to	to	PART
ap-6083	155	13	balance	balance	VERB
ap-6083	155	14	between	between	ADP
ap-6083	155	15	accuracy	accuracy	NOUN
ap-6083	155	16	and	and	CCONJ
ap-6083	155	17	convergence	convergence	NOUN
ap-6083	155	18	of	of	ADP
ap-6083	155	19	the	the	DET
ap-6083	155	20	limiter	limiter	NOUN
ap-6083	155	21	.	.	PUNCT
ap-6083	156	1	the	the	DET
ap-6083	156	2	present	present	ADJ
ap-6083	156	3	computations	computation	NOUN
ap-6083	156	4	were	be	AUX
ap-6083	156	5	performed	perform	VERB
ap-6083	156	6	with	with	ADP
ap-6083	156	7	k	k	PROPN
ap-6083	156	8	=	=	SYM
ap-6083	156	9	1	1	NUM
ap-6083	156	10	.	.	NOUN
ap-6083	156	11	•	•	NOUN
ap-6083	156	12	face	face	NOUN
ap-6083	156	13	-	-	PUNCT
ap-6083	156	14	based	base	VERB
ap-6083	156	15	limiter	limiter	NOUN
ap-6083	156	16	of	of	ADP
ap-6083	156	17	delis	deli	NOUN
ap-6083	156	18	and	and	CCONJ
ap-6083	156	19	nikolos	nikolo	NOUN
ap-6083	156	20	.	.	PUNCT
ap-6083	157	1	[	[	X
ap-6083	157	2	33	33	NUM
ap-6083	157	3	]	]	X
ap-6083	157	4	:	:	PUNCT
ap-6083	157	5	whereas	whereas	SCONJ
ap-6083	157	6	the	the	DET
ap-6083	157	7	other	other	ADJ
ap-6083	157	8	procedures	procedure	NOUN
ap-6083	157	9	result	result	VERB
ap-6083	157	10	in	in	ADP
ap-6083	157	11	a	a	DET
ap-6083	157	12	limited	limited	ADJ
ap-6083	157	13	gradient	gradient	NOUN
ap-6083	157	14	that	that	PRON
ap-6083	157	15	is	be	AUX
ap-6083	157	16	constant	constant	ADJ
ap-6083	157	17	over	over	ADP
ap-6083	157	18	the	the	DET
ap-6083	157	19	whole	whole	ADJ
ap-6083	157	20	cell	cell	NOUN
ap-6083	157	21	,	,	PUNCT
ap-6083	157	22	the	the	DET
ap-6083	157	23	technique	technique	NOUN
ap-6083	157	24	of	of	ADP
ap-6083	157	25	delis	deli	NOUN
ap-6083	157	26	et	et	PROPN
ap-6083	157	27	al	al	PROPN
ap-6083	157	28	.	.	PROPN
ap-6083	157	29	applies	apply	VERB
ap-6083	157	30	the	the	DET
ap-6083	157	31	limiter	limiter	NOUN
ap-6083	157	32	individually	individually	ADV
ap-6083	157	33	to	to	ADP
ap-6083	157	34	each	each	DET
ap-6083	157	35	face	face	NOUN
ap-6083	157	36	of	of	ADP
ap-6083	157	37	the	the	DET
ap-6083	157	38	cell	cell	NOUN
ap-6083	157	39	.	.	PUNCT
ap-6083	158	1	the	the	DET
ap-6083	158	2	procedure	procedure	NOUN
ap-6083	158	3	is	be	AUX
ap-6083	158	4	performed	perform	VERB
ap-6083	158	5	in	in	ADP
ap-6083	158	6	two	two	NUM
ap-6083	158	7	steps	step	NOUN
ap-6083	158	8	:	:	PUNCT
ap-6083	158	9	first	first	ADV
ap-6083	158	10	,	,	PUNCT
ap-6083	158	11	the	the	DET
ap-6083	158	12	value	value	NOUN
ap-6083	158	13	at	at	ADP
ap-6083	158	14	the	the	DET
ap-6083	158	15	intersection	intersection	NOUN
ap-6083	158	16	of	of	ADP
ap-6083	158	17	the	the	DET
ap-6083	158	18	cell	cell	NOUN
ap-6083	158	19	-	-	PUNCT
ap-6083	158	20	face	face	NOUN
ap-6083	158	21	with	with	ADP
ap-6083	158	22	a	a	DET
ap-6083	158	23	line	line	NOUN
ap-6083	158	24	connecting	connect	VERB
ap-6083	158	25	the	the	DET
ap-6083	158	26	centroids	centroid	NOUN
ap-6083	158	27	of	of	ADP
ap-6083	158	28	the	the	DET
ap-6083	158	29	two	two	NUM
ap-6083	158	30	adjacent	adjacent	ADJ
ap-6083	158	31	cells	cell	NOUN
ap-6083	158	32	is	be	AUX
ap-6083	158	33	reconstructed	reconstruct	VERB
ap-6083	158	34	,	,	PUNCT
ap-6083	158	35	and	and	CCONJ
ap-6083	158	36	then	then	ADV
ap-6083	158	37	another	another	DET
ap-6083	158	38	reconstruction	reconstruction	NOUN
ap-6083	158	39	is	be	AUX
ap-6083	158	40	performed	perform	VERB
ap-6083	158	41	for	for	ADP
ap-6083	158	42	the	the	DET
ap-6083	158	43	face	face	NOUN
ap-6083	158	44	midpoint	midpoint	NOUN
ap-6083	158	45	value	value	NOUN
ap-6083	158	46	.	.	PUNCT
ap-6083	159	1	each	each	PRON
ap-6083	159	2	of	of	ADP
ap-6083	159	3	these	these	DET
ap-6083	159	4	steps	step	NOUN
ap-6083	159	5	employs	employ	VERB
ap-6083	159	6	a	a	DET
ap-6083	159	7	1d	1d	NUM
ap-6083	159	8	limiter	limiter	NOUN
ap-6083	159	9	,	,	PUNCT
ap-6083	159	10	working	work	VERB
ap-6083	159	11	with	with	ADP
ap-6083	159	12	a	a	DET
ap-6083	159	13	virtual	virtual	ADJ
ap-6083	159	14	upwind	upwind	NOUN
ap-6083	159	15	node	node	NOUN
ap-6083	159	16	.	.	PUNCT
ap-6083	160	1	the	the	DET
ap-6083	160	2	motivation	motivation	NOUN
ap-6083	160	3	behind	behind	ADP
ap-6083	160	4	this	this	DET
ap-6083	160	5	approach	approach	NOUN
ap-6083	160	6	is	be	AUX
ap-6083	160	7	that	that	SCONJ
ap-6083	160	8	scalar	scalar	ADJ
ap-6083	160	9	limiters	limiter	NOUN
ap-6083	160	10	are	be	AUX
ap-6083	160	11	stricter	strict	ADJ
ap-6083	160	12	a	a	PRON
ap-6083	160	13	necessary	necessary	ADJ
ap-6083	160	14	because	because	SCONJ
ap-6083	160	15	they	they	PRON
ap-6083	160	16	affect	affect	VERB
ap-6083	160	17	all	all	DET
ap-6083	160	18	components	component	NOUN
ap-6083	160	19	of	of	ADP
ap-6083	160	20	the	the	DET
ap-6083	160	21	gradient	gradient	NOUN
ap-6083	160	22	uniformly	uniformly	ADV
ap-6083	160	23	.	.	PUNCT
ap-6083	161	1	moreover	moreover	ADV
ap-6083	161	2	,	,	PUNCT
ap-6083	161	3	this	this	DET
ap-6083	161	4	technique	technique	NOUN
ap-6083	161	5	employs	employ	VERB
ap-6083	161	6	1d	1d	NUM
ap-6083	161	7	limiters	limiter	NOUN
ap-6083	161	8	,	,	PUNCT
ap-6083	161	9	whose	whose	DET
ap-6083	161	10	behaviour	behaviour	NOUN
ap-6083	161	11	has	have	AUX
ap-6083	161	12	been	be	AUX
ap-6083	161	13	thoroughly	thoroughly	ADV
ap-6083	161	14	researched	research	VERB
ap-6083	161	15	in	in	ADP
ap-6083	161	16	the	the	DET
ap-6083	161	17	past	past	NOUN
ap-6083	161	18	and	and	CCONJ
ap-6083	161	19	whose	whose	DET
ap-6083	161	20	wide	wide	ADJ
ap-6083	161	21	array	array	NOUN
ap-6083	161	22	allows	allow	VERB
ap-6083	161	23	the	the	DET
ap-6083	161	24	user	user	NOUN
ap-6083	161	25	to	to	PART
ap-6083	161	26	choose	choose	VERB
ap-6083	161	27	the	the	DET
ap-6083	161	28	most	most	ADV
ap-6083	161	29	suitable	suitable	ADJ
ap-6083	161	30	one	one	NUM
ap-6083	161	31	for	for	ADP
ap-6083	161	32	their	their	PRON
ap-6083	161	33	case	case	NOUN
ap-6083	161	34	.	.	PUNCT
ap-6083	162	1	here	here	ADV
ap-6083	162	2	we	we	PRON
ap-6083	162	3	present	present	VERB
ap-6083	162	4	results	result	NOUN
ap-6083	162	5	for	for	ADP
ap-6083	162	6	the	the	DET
ap-6083	162	7	min	min	ADJ
ap-6083	162	8	-	-	ADJ
ap-6083	162	9	mod	mod	ADJ
ap-6083	162	10	limiter	limiter	NOUN
ap-6083	162	11	.	.	PUNCT
ap-6083	163	1	3	3	X
ap-6083	163	2	.	.	X
ap-6083	163	3	test	test	NOUN
ap-6083	163	4	-	-	PUNCT
ap-6083	163	5	case	case	NOUN
ap-6083	163	6	description	description	NOUN
ap-6083	163	7	3.1	3.1	NUM
ap-6083	163	8	.	.	PUNCT
ap-6083	163	9	fourth	fourth	ADJ
ap-6083	163	10	standard	standard	ADJ
ap-6083	163	11	configuration	configuration	NOUN
ap-6083	163	12	the	the	DET
ap-6083	163	13	fourth	fourth	ADJ
ap-6083	163	14	standard	standard	ADJ
ap-6083	163	15	configuration	configuration	NOUN
ap-6083	163	16	(	(	PUNCT
ap-6083	163	17	stcf4	stcf4	PROPN
ap-6083	163	18	)	)	PUNCT
ap-6083	163	19	belongs	belong	VERB
ap-6083	163	20	to	to	ADP
ap-6083	163	21	a	a	DET
ap-6083	163	22	collection	collection	NOUN
ap-6083	163	23	of	of	ADP
ap-6083	163	24	turbomachinery	turbomachinery	NOUN
ap-6083	163	25	flutter	flutter	NOUN
ap-6083	163	26	test	test	NOUN
ap-6083	163	27	-	-	PUNCT
ap-6083	163	28	cases	case	NOUN
ap-6083	163	29	formed	form	VERB
ap-6083	163	30	in	in	ADP
ap-6083	163	31	the	the	DET
ap-6083	163	32	1980	1980	NUM
ap-6083	163	33	’s	’s	NOUN
ap-6083	163	34	at	at	ADP
ap-6083	163	35	école	école	PROPN
ap-6083	163	36	polytechnique	polytechnique	X
ap-6083	163	37	fédérale	fédérale	PROPN
ap-6083	163	38	de	de	X
ap-6083	163	39	lausanne	lausanne	PROPN
ap-6083	163	40	and	and	CCONJ
ap-6083	163	41	it	it	PRON
ap-6083	163	42	is	be	AUX
ap-6083	163	43	presented	present	VERB
ap-6083	163	44	here	here	ADV
ap-6083	163	45	for	for	ADP
ap-6083	163	46	the	the	DET
ap-6083	163	47	purpose	purpose	NOUN
ap-6083	163	48	of	of	ADP
ap-6083	163	49	solver	solver	VERB
ap-6083	163	50	validation	validation	NOUN
ap-6083	163	51	.	.	PUNCT
ap-6083	164	1	the	the	DET
ap-6083	164	2	geometries	geometry	NOUN
ap-6083	164	3	and	and	CCONJ
ap-6083	164	4	experimental	experimental	ADJ
ap-6083	164	5	data	datum	NOUN
ap-6083	164	6	were	be	AUX
ap-6083	164	7	made	make	VERB
ap-6083	164	8	public	public	ADJ
ap-6083	164	9	in	in	ADP
ap-6083	164	10	[	[	X
ap-6083	164	11	35	35	NUM
ap-6083	164	12	]	]	PUNCT
ap-6083	164	13	and	and	CCONJ
ap-6083	164	14	they	they	PRON
ap-6083	164	15	are	be	AUX
ap-6083	164	16	available	available	ADJ
ap-6083	164	17	in	in	ADP
ap-6083	164	18	a	a	DET
ap-6083	164	19	digitized	digitize	VERB
ap-6083	164	20	form	form	NOUN
ap-6083	164	21	at	at	ADP
ap-6083	164	22	[	[	X
ap-6083	164	23	41	41	NUM
ap-6083	164	24	]	]	PUNCT
ap-6083	164	25	.	.	PUNCT
ap-6083	165	1	from	from	ADP
ap-6083	165	2	the	the	DET
ap-6083	165	3	wide	wide	ADJ
ap-6083	165	4	range	range	NOUN
ap-6083	165	5	parameter	parameter	NOUN
ap-6083	165	6	stcf4	stcf4	PROPN
ap-6083	165	7	m8	m8	PROPN
ap-6083	165	8	chord	chord	NOUN
ap-6083	165	9	,	,	PUNCT
ap-6083	165	10	c	c	PROPN
ap-6083	165	11	72	72	NUM
ap-6083	165	12	mm	mm	NOUN
ap-6083	165	13	273.3	273.3	NUM
ap-6083	165	14	mm	mm	NOUN
ap-6083	165	15	blade	blade	NOUN
ap-6083	165	16	spacing	spacing	NOUN
ap-6083	165	17	,	,	PUNCT
ap-6083	165	18	s	s	VERB
ap-6083	165	19	56.25	56.25	NUM
ap-6083	165	20	mm	mm	NOUN
ap-6083	165	21	229.6	229.6	NUM
ap-6083	165	22	mm	mm	NOUN
ap-6083	165	23	stagger	stagger	NOUN
ap-6083	165	24	from	from	ADP
ap-6083	165	25	axial	axial	ADJ
ap-6083	165	26	,	,	PUNCT
ap-6083	165	27	γ	γ	PROPN
ap-6083	165	28	−56.6	−56.6	PROPN
ap-6083	165	29	°	°	PROPN
ap-6083	165	30	−72.3	−72.3	PROPN
ap-6083	165	31	°	°	NOUN
ap-6083	165	32	inlet	inlet	VERB
ap-6083	165	33	total	total	ADJ
ap-6083	165	34	temperature	temperature	NOUN
ap-6083	165	35	,	,	PUNCT
ap-6083	165	36	t01	t01	PROPN
ap-6083	165	37	330	330	NUM
ap-6083	165	38	k	k	NOUN
ap-6083	165	39	348.5	348.5	NUM
ap-6083	165	40	k	k	NOUN
ap-6083	165	41	inlet	inlet	VERB
ap-6083	165	42	total	total	ADJ
ap-6083	165	43	pressure	pressure	NOUN
ap-6083	165	44	,	,	PUNCT
ap-6083	165	45	p01	p01	NOUN
ap-6083	165	46	217	217	NUM
ap-6083	165	47	100	100	NUM
ap-6083	165	48	pa	pa	PROPN
ap-6083	165	49	35	35	NUM
ap-6083	165	50	637	637	NUM
ap-6083	165	51	pa	pa	NOUN
ap-6083	165	52	inlet	inlet	VERB
ap-6083	165	53	flow	flow	NOUN
ap-6083	165	54	angle	angle	NOUN
ap-6083	165	55	from	from	ADP
ap-6083	165	56	ax	ax	NOUN
ap-6083	165	57	.	.	PROPN
ap-6083	165	58	,	,	PUNCT
ap-6083	165	59	β1	β1	PROPN
ap-6083	165	60	−28	−28	PROPN
ap-6083	165	61	°	°	NOUN
ap-6083	165	62	−73.9	−73.9	PROPN
ap-6083	165	63	°	°	PROPN
ap-6083	165	64	outlet	outlet	PROPN
ap-6083	165	65	isen	isen	PROPN
ap-6083	165	66	.	.	PUNCT
ap-6083	166	1	mach	mach	PROPN
ap-6083	166	2	n.	n.	PROPN
ap-6083	166	3	,	,	PUNCT
ap-6083	166	4	m2,is	m2,is	PROPN
ap-6083	166	5	1.39	1.39	NUM
ap-6083	166	6	(	(	PUNCT
ap-6083	166	7	1.42	1.42	NUM
ap-6083	166	8	uns	un	NOUN
ap-6083	166	9	.	.	PUNCT
ap-6083	166	10	)	)	PUNCT
ap-6083	167	1	1.56	1.56	NUM
ap-6083	167	2	vibration	vibration	NOUN
ap-6083	167	3	mode	mode	NOUN
ap-6083	167	4	translation	translation	NOUN
ap-6083	167	5	coupled	couple	VERB
ap-6083	167	6	maximum	maximum	ADJ
ap-6083	167	7	displacement	displacement	NOUN
ap-6083	167	8	,	,	PUNCT
ap-6083	167	9	h	h	NOUN
ap-6083	167	10	/	/	SYM
ap-6083	167	11	c	c	PROPN
ap-6083	167	12	0.00406	0.00406	NUM
ap-6083	167	13	0.0201	0.0201	NUM
ap-6083	167	14	reduced	reduced	ADJ
ap-6083	167	15	frequency	frequency	NOUN
ap-6083	167	16	,	,	PUNCT
ap-6083	167	17	λ	λ	PROPN
ap-6083	167	18	0.164	0.164	NUM
ap-6083	167	19	0.4074	0.4074	NUM
ap-6083	167	20	table	table	NOUN
ap-6083	167	21	1	1	NUM
ap-6083	167	22	.	.	PUNCT
ap-6083	167	23	test	test	NOUN
ap-6083	167	24	-	-	PUNCT
ap-6083	167	25	case	case	NOUN
ap-6083	167	26	parameters	parameter	NOUN
ap-6083	167	27	.	.	PUNCT
ap-6083	168	1	figure	figure	NOUN
ap-6083	168	2	2	2	NUM
ap-6083	168	3	.	.	PUNCT
ap-6083	168	4	computational	computational	ADJ
ap-6083	168	5	grids	grid	NOUN
ap-6083	168	6	for	for	ADP
ap-6083	168	7	the	the	DET
ap-6083	168	8	stcf4	stcf4	PROPN
ap-6083	168	9	(	(	PUNCT
ap-6083	168	10	top	top	NOUN
ap-6083	168	11	)	)	PUNCT
ap-6083	168	12	and	and	CCONJ
ap-6083	168	13	the	the	DET
ap-6083	168	14	m8	m8	PROPN
ap-6083	168	15	(	(	PUNCT
ap-6083	168	16	bottom	bottom	ADJ
ap-6083	168	17	)	)	PUNCT
ap-6083	168	18	cascades	cascade	NOUN
ap-6083	168	19	with	with	ADP
ap-6083	168	20	insets	inset	NOUN
ap-6083	168	21	showing	show	VERB
ap-6083	168	22	refinement	refinement	NOUN
ap-6083	168	23	in	in	ADP
ap-6083	168	24	the	the	DET
ap-6083	168	25	le	le	X
ap-6083	168	26	and	and	CCONJ
ap-6083	168	27	te	te	ADP
ap-6083	168	28	regions	region	NOUN
ap-6083	168	29	.	.	PUNCT
ap-6083	169	1	of	of	ADP
ap-6083	169	2	testing	testing	NOUN
ap-6083	169	3	conditions	condition	NOUN
ap-6083	169	4	with	with	ADP
ap-6083	169	5	publicly	publicly	ADV
ap-6083	169	6	available	available	ADJ
ap-6083	169	7	data	datum	NOUN
ap-6083	169	8	we	we	PRON
ap-6083	169	9	choose	choose	VERB
ap-6083	169	10	the	the	DET
ap-6083	169	11	test	test	NOUN
ap-6083	169	12	case	case	NOUN
ap-6083	169	13	628	628	NUM
ap-6083	169	14	,	,	PUNCT
ap-6083	169	15	characterized	characterize	VERB
ap-6083	169	16	by	by	ADP
ap-6083	169	17	transonic	transonic	ADJ
ap-6083	169	18	flow	flow	NOUN
ap-6083	169	19	with	with	ADP
ap-6083	169	20	strong	strong	ADJ
ap-6083	169	21	compressibility	compressibility	NOUN
ap-6083	169	22	effects	effect	NOUN
ap-6083	169	23	.	.	PUNCT
ap-6083	170	1	as	as	SCONJ
ap-6083	170	2	the	the	DET
ap-6083	170	3	value	value	NOUN
ap-6083	170	4	of	of	ADP
ap-6083	170	5	the	the	DET
ap-6083	170	6	inlet	inlet	ADJ
ap-6083	170	7	total	total	ADJ
ap-6083	170	8	temperature	temperature	NOUN
ap-6083	170	9	is	be	AUX
ap-6083	170	10	not	not	PART
ap-6083	170	11	specified	specify	VERB
ap-6083	170	12	in	in	ADP
ap-6083	170	13	the	the	DET
ap-6083	170	14	original	original	ADJ
ap-6083	170	15	data	datum	NOUN
ap-6083	170	16	,	,	PUNCT
ap-6083	170	17	we	we	PRON
ap-6083	170	18	use	use	VERB
ap-6083	170	19	t01	t01	NOUN
ap-6083	170	20	=	=	SYM
ap-6083	170	21	330	330	NUM
ap-6083	170	22	k	k	NOUN
ap-6083	170	23	in	in	ADP
ap-6083	170	24	accordance	accordance	NOUN
ap-6083	170	25	with	with	ADP
ap-6083	170	26	waite	waite	PROPN
ap-6083	171	1	[	[	X
ap-6083	171	2	42	42	NUM
ap-6083	171	3	]	]	PUNCT
ap-6083	171	4	.	.	PUNCT
ap-6083	172	1	it	it	PRON
ap-6083	172	2	has	have	AUX
ap-6083	172	3	been	be	AUX
ap-6083	172	4	discussed	discuss	VERB
ap-6083	172	5	that	that	SCONJ
ap-6083	172	6	the	the	DET
ap-6083	172	7	originally	originally	ADV
ap-6083	172	8	reported	report	VERB
ap-6083	172	9	inlet	inlet	NOUN
ap-6083	172	10	flow	flow	NOUN
ap-6083	172	11	angle	angle	NOUN
ap-6083	172	12	β1	β1	NOUN
ap-6083	172	13	=	=	SYM
ap-6083	172	14	−56.6	−56.6	ADJ
ap-6083	172	15	°	°	PROPN
ap-6083	172	16	was	be	AUX
ap-6083	172	17	measured	measure	VERB
ap-6083	172	18	inaccurately	inaccurately	ADV
ap-6083	172	19	due	due	ADP
ap-6083	172	20	to	to	ADP
ap-6083	172	21	the	the	DET
ap-6083	172	22	proximity	proximity	NOUN
ap-6083	172	23	of	of	ADP
ap-6083	172	24	the	the	DET
ap-6083	172	25	probe	probe	NOUN
ap-6083	172	26	to	to	ADP
ap-6083	172	27	the	the	DET
ap-6083	172	28	blade	blade	NOUN
ap-6083	172	29	leading	lead	VERB
ap-6083	172	30	edge	edge	NOUN
ap-6083	172	31	[	[	X
ap-6083	172	32	43	43	NUM
ap-6083	172	33	]	]	PUNCT
ap-6083	172	34	.	.	PUNCT
ap-6083	173	1	a	a	DET
ap-6083	173	2	value	value	NOUN
ap-6083	173	3	of	of	ADP
ap-6083	173	4	β1	β1	PROPN
ap-6083	173	5	=	=	PUNCT
ap-6083	173	6	−28	−28	PROPN
ap-6083	173	7	°	°	PROPN
ap-6083	173	8	has	have	AUX
ap-6083	173	9	been	be	AUX
ap-6083	173	10	demonstrated	demonstrate	VERB
ap-6083	173	11	to	to	PART
ap-6083	173	12	give	give	VERB
ap-6083	173	13	a	a	DET
ap-6083	173	14	better	well	ADJ
ap-6083	173	15	match	match	NOUN
ap-6083	173	16	between	between	ADP
ap-6083	173	17	numerical	numerical	ADJ
ap-6083	173	18	and	and	CCONJ
ap-6083	173	19	experimental	experimental	ADJ
ap-6083	173	20	results	result	NOUN
ap-6083	173	21	[	[	X
ap-6083	173	22	42	42	NUM
ap-6083	173	23	]	]	PUNCT
ap-6083	173	24	,	,	PUNCT
ap-6083	173	25	which	which	PRON
ap-6083	173	26	is	be	AUX
ap-6083	173	27	also	also	ADV
ap-6083	173	28	what	what	PRON
ap-6083	173	29	we	we	PRON
ap-6083	173	30	employ	employ	VERB
ap-6083	173	31	here	here	ADV
ap-6083	173	32	.	.	PUNCT
ap-6083	174	1	the	the	DET
ap-6083	174	2	mode	mode	NOUN
ap-6083	174	3	of	of	ADP
ap-6083	174	4	blade	blade	NOUN
ap-6083	174	5	oscillation	oscillation	NOUN
ap-6083	174	6	is	be	AUX
ap-6083	174	7	a	a	DET
ap-6083	174	8	harmonic	harmonic	ADJ
ap-6083	174	9	translation	translation	NOUN
ap-6083	174	10	in	in	ADP
ap-6083	174	11	a	a	DET
ap-6083	174	12	direction	direction	NOUN
ap-6083	174	13	of	of	ADP
ap-6083	174	14	63	63	NUM
ap-6083	174	15	°	°	NOUN
ap-6083	174	16	from	from	ADP
ap-6083	174	17	the	the	DET
ap-6083	174	18	139	139	NUM
ap-6083	174	19	marek	marek	PROPN
ap-6083	174	20	pátý	pátý	PROPN
ap-6083	174	21	,	,	PUNCT
ap-6083	174	22	jan	jan	PROPN
ap-6083	174	23	halama	halama	PROPN
ap-6083	174	24	acta	acta	PROPN
ap-6083	174	25	polytechnica	polytechnica	PROPN
ap-6083	174	26	figure	figure	NOUN
ap-6083	174	27	3	3	NUM
ap-6083	174	28	.	.	PUNCT
ap-6083	174	29	test	test	NOUN
ap-6083	174	30	-	-	PUNCT
ap-6083	174	31	grids	grid	NOUN
ap-6083	174	32	for	for	ADP
ap-6083	174	33	gradient	gradient	ADJ
ap-6083	174	34	reconstruction	reconstruction	NOUN
ap-6083	174	35	.	.	PUNCT
ap-6083	175	1	axial	axial	ADJ
ap-6083	175	2	.	.	PUNCT
ap-6083	176	1	an	an	DET
ap-6083	176	2	overview	overview	NOUN
ap-6083	176	3	of	of	ADP
ap-6083	176	4	the	the	DET
ap-6083	176	5	turbine	turbine	NOUN
ap-6083	176	6	cascade	cascade	NOUN
ap-6083	176	7	parameters	parameter	NOUN
ap-6083	176	8	and	and	CCONJ
ap-6083	176	9	testing	testing	NOUN
ap-6083	176	10	conditions	condition	NOUN
ap-6083	176	11	is	be	AUX
ap-6083	176	12	given	give	VERB
ap-6083	176	13	in	in	ADP
ap-6083	176	14	the	the	DET
ap-6083	176	15	tab	tab	NOUN
ap-6083	176	16	.	.	PUNCT
ap-6083	177	1	1	1	X
ap-6083	177	2	.	.	X
ap-6083	177	3	the	the	DET
ap-6083	177	4	computational	computational	ADJ
ap-6083	177	5	domain	domain	NOUN
ap-6083	177	6	was	be	AUX
ap-6083	177	7	discretised	discretise	VERB
ap-6083	177	8	in	in	ADP
ap-6083	177	9	ansys	ansys	PROPN
ap-6083	177	10	icem	icem	PROPN
ap-6083	177	11	with	with	ADP
ap-6083	177	12	a	a	DET
ap-6083	177	13	mixed	mixed	ADJ
ap-6083	177	14	-	-	PUNCT
ap-6083	177	15	element	element	NOUN
ap-6083	177	16	tri	tri	NOUN
ap-6083	177	17	/	/	SYM
ap-6083	177	18	quad	quad	ADV
ap-6083	177	19	grid	grid	NOUN
ap-6083	177	20	,	,	PUNCT
ap-6083	177	21	containing	contain	VERB
ap-6083	177	22	13824	13824	NUM
ap-6083	177	23	elements	element	NOUN
ap-6083	177	24	per	per	ADP
ap-6083	177	25	blade	blade	NOUN
ap-6083	177	26	passage	passage	NOUN
ap-6083	177	27	(	(	PUNCT
ap-6083	177	28	fig	fig	NOUN
ap-6083	177	29	.	.	PUNCT
ap-6083	178	1	2	2	NUM
ap-6083	178	2	-	-	PUNCT
ap-6083	178	3	top	top	NOUN
ap-6083	178	4	)	)	PUNCT
ap-6083	178	5	.	.	PUNCT
ap-6083	179	1	the	the	DET
ap-6083	179	2	movement	movement	NOUN
ap-6083	179	3	of	of	ADP
ap-6083	179	4	the	the	DET
ap-6083	179	5	blades	blade	NOUN
ap-6083	179	6	requires	require	VERB
ap-6083	179	7	that	that	SCONJ
ap-6083	179	8	the	the	DET
ap-6083	179	9	mesh	mesh	NOUN
ap-6083	179	10	is	be	AUX
ap-6083	179	11	updated	update	VERB
ap-6083	179	12	accordingly	accordingly	ADV
ap-6083	179	13	in	in	ADP
ap-6083	179	14	each	each	DET
ap-6083	179	15	step	step	NOUN
ap-6083	179	16	.	.	PUNCT
ap-6083	180	1	the	the	DET
ap-6083	180	2	displacement	displacement	NOUN
ap-6083	180	3	of	of	ADP
ap-6083	180	4	the	the	DET
ap-6083	180	5	grid	grid	NOUN
ap-6083	180	6	vertices	vertex	NOUN
ap-6083	180	7	forming	form	VERB
ap-6083	180	8	the	the	DET
ap-6083	180	9	surface	surface	NOUN
ap-6083	180	10	of	of	ADP
ap-6083	180	11	each	each	DET
ap-6083	180	12	blade	blade	NOUN
ap-6083	180	13	is	be	AUX
ap-6083	180	14	interpolated	interpolate	VERB
ap-6083	180	15	linearly	linearly	ADV
ap-6083	180	16	onto	onto	ADP
ap-6083	180	17	the	the	DET
ap-6083	180	18	domain	domain	NOUN
ap-6083	180	19	.	.	PUNCT
ap-6083	181	1	the	the	DET
ap-6083	181	2	resulting	result	VERB
ap-6083	181	3	displacement	displacement	NOUN
ap-6083	181	4	of	of	ADP
ap-6083	181	5	each	each	DET
ap-6083	181	6	grid	grid	NOUN
ap-6083	181	7	point	point	NOUN
ap-6083	181	8	is	be	AUX
ap-6083	181	9	thus	thus	ADV
ap-6083	181	10	a	a	DET
ap-6083	181	11	sum	sum	NOUN
ap-6083	181	12	of	of	ADP
ap-6083	181	13	individual	individual	ADJ
ap-6083	181	14	contributions	contribution	NOUN
ap-6083	181	15	from	from	ADP
ap-6083	181	16	all	all	DET
ap-6083	181	17	blades	blade	NOUN
ap-6083	181	18	.	.	PUNCT
ap-6083	182	1	3.2	3.2	NUM
ap-6083	182	2	.	.	PUNCT
ap-6083	182	3	low	low	ADJ
ap-6083	182	4	-	-	PUNCT
ap-6083	182	5	pressure	pressure	NOUN
ap-6083	182	6	turbine	turbine	NOUN
ap-6083	182	7	m8	m8	NOUN
ap-6083	182	8	the	the	DET
ap-6083	182	9	second	second	ADJ
ap-6083	182	10	test	test	NOUN
ap-6083	182	11	-	-	PUNCT
ap-6083	182	12	case	case	NOUN
ap-6083	182	13	represents	represent	VERB
ap-6083	182	14	a	a	DET
ap-6083	182	15	cylindrical	cylindrical	ADJ
ap-6083	182	16	cut	cut	NOUN
ap-6083	182	17	of	of	ADP
ap-6083	182	18	a	a	DET
ap-6083	182	19	low	low	ADJ
ap-6083	182	20	-	-	PUNCT
ap-6083	182	21	pressure	pressure	NOUN
ap-6083	182	22	steam	steam	NOUN
ap-6083	182	23	turbine	turbine	NOUN
ap-6083	182	24	m8	m8	NOUN
ap-6083	182	25	at	at	ADP
ap-6083	182	26	65	65	NUM
ap-6083	182	27	%	%	NOUN
ap-6083	182	28	of	of	ADP
ap-6083	182	29	span	span	NOUN
ap-6083	182	30	.	.	PUNCT
ap-6083	183	1	compared	compare	VERB
ap-6083	183	2	to	to	ADP
ap-6083	183	3	the	the	DET
ap-6083	183	4	test	test	NOUN
ap-6083	183	5	case	case	NOUN
ap-6083	183	6	628	628	NUM
ap-6083	183	7	with	with	ADP
ap-6083	183	8	an	an	DET
ap-6083	183	9	inlet	inlet	ADJ
ap-6083	183	10	mach	mach	NOUN
ap-6083	183	11	number	number	NOUN
ap-6083	183	12	of	of	ADP
ap-6083	183	13	0.21	0.21	NUM
ap-6083	183	14	,	,	PUNCT
ap-6083	183	15	the	the	DET
ap-6083	183	16	inlet	inlet	ADJ
ap-6083	183	17	conditions	condition	NOUN
ap-6083	183	18	are	be	AUX
ap-6083	183	19	high	high	ADV
ap-6083	183	20	subsonic	subsonic	ADJ
ap-6083	183	21	at	at	ADP
ap-6083	183	22	m1	m1	PROPN
ap-6083	183	23	=	=	PROPN
ap-6083	183	24	0.76	0.76	NUM
ap-6083	183	25	.	.	PUNCT
ap-6083	184	1	another	another	DET
ap-6083	184	2	substantial	substantial	ADJ
ap-6083	184	3	difference	difference	NOUN
ap-6083	184	4	arises	arise	VERB
ap-6083	184	5	in	in	ADP
ap-6083	184	6	the	the	DET
ap-6083	184	7	mode	mode	NOUN
ap-6083	184	8	of	of	ADP
ap-6083	184	9	vibration	vibration	NOUN
ap-6083	184	10	which	which	PRON
ap-6083	184	11	is	be	AUX
ap-6083	184	12	coupled	couple	VERB
ap-6083	184	13	.	.	PUNCT
ap-6083	185	1	the	the	DET
ap-6083	185	2	elastic	elastic	ADJ
ap-6083	185	3	axis	axis	NOUN
ap-6083	185	4	(	(	PUNCT
ap-6083	185	5	ea	ea	NOUN
ap-6083	185	6	)	)	PUNCT
ap-6083	185	7	of	of	ADP
ap-6083	185	8	the	the	DET
ap-6083	185	9	blade	blade	NOUN
ap-6083	185	10	travels	travel	VERB
ap-6083	185	11	along	along	ADP
ap-6083	185	12	an	an	DET
ap-6083	185	13	elliptical	elliptical	ADJ
ap-6083	185	14	trajectory	trajectory	NOUN
ap-6083	185	15	while	while	SCONJ
ap-6083	185	16	the	the	DET
ap-6083	185	17	blade	blade	NOUN
ap-6083	185	18	is	be	AUX
ap-6083	185	19	subject	subject	ADJ
ap-6083	185	20	to	to	ADP
ap-6083	185	21	a	a	DET
ap-6083	185	22	pitching	pitching	NOUN
ap-6083	185	23	motion	motion	NOUN
ap-6083	185	24	about	about	ADP
ap-6083	185	25	the	the	DET
ap-6083	185	26	ea	ea	NOUN
ap-6083	185	27	.	.	PUNCT
ap-6083	186	1	the	the	DET
ap-6083	186	2	horizontal	horizontal	ADJ
ap-6083	186	3	(	(	PUNCT
ap-6083	186	4	xea	xea	PROPN
ap-6083	186	5	)	)	PUNCT
ap-6083	186	6	and	and	CCONJ
ap-6083	186	7	vertical	vertical	ADJ
ap-6083	186	8	(	(	PUNCT
ap-6083	186	9	yea	yea	ADJ
ap-6083	186	10	)	)	PUNCT
ap-6083	186	11	displacement	displacement	NOUN
ap-6083	186	12	of	of	ADP
ap-6083	186	13	the	the	DET
ap-6083	186	14	ea	ea	PROPN
ap-6083	186	15	and	and	CCONJ
ap-6083	186	16	the	the	DET
ap-6083	186	17	pitching	pitch	VERB
ap-6083	186	18	angle	angle	NOUN
ap-6083	186	19	(	(	PUNCT
ap-6083	186	20	α	α	NOUN
ap-6083	186	21	)	)	PUNCT
ap-6083	186	22	are	be	AUX
ap-6083	186	23	defined	define	VERB
ap-6083	186	24	as	as	ADP
ap-6083	186	25	:	:	PUNCT
ap-6083	186	26	xiea(t	xiea(t	NOUN
ap-6083	186	27	)	)	PUNCT
ap-6083	186	28	=	=	SYM
ap-6083	187	1	axcos(2πft+	axcos(2πft+	PROPN
ap-6083	187	2	φx	φx	ADV
ap-6083	188	1	+	+	CCONJ
ap-6083	188	2	i	i	PRON
ap-6083	188	3	·	·	PUNCT
ap-6083	188	4	ibpa	ibpa	PROPN
ap-6083	188	5	)	)	PUNCT
ap-6083	188	6	,	,	PUNCT
ap-6083	188	7	yiea(t	yiea(t	NOUN
ap-6083	188	8	)	)	PUNCT
ap-6083	188	9	=	=	SYM
ap-6083	189	1	aycos(2πft+	aycos(2πft+	ADJ
ap-6083	189	2	φy	φy	NOUN
ap-6083	190	1	+	+	CCONJ
ap-6083	190	2	i	i	PRON
ap-6083	190	3	·	·	PUNCT
ap-6083	190	4	ibpa	ibpa	PROPN
ap-6083	190	5	)	)	PUNCT
ap-6083	190	6	,	,	PUNCT
ap-6083	190	7	(	(	PUNCT
ap-6083	190	8	16	16	NUM
ap-6083	190	9	)	)	PUNCT
ap-6083	190	10	αi(t	αi(t	NOUN
ap-6083	190	11	)	)	PUNCT
ap-6083	191	1	=	=	SYM
ap-6083	192	1	aαcos(2πft+	aαcos(2πft+	PROPN
ap-6083	192	2	φα	φα	PROPN
ap-6083	192	3	+	+	NUM
ap-6083	192	4	i	i	PRON
ap-6083	192	5	·	·	PUNCT
ap-6083	192	6	ibpa	ibpa	PROPN
ap-6083	192	7	)	)	PUNCT
ap-6083	192	8	,	,	PUNCT
ap-6083	192	9	i	i	PRON
ap-6083	192	10	=	=	NOUN
ap-6083	193	1	1	1	NUM
ap-6083	193	2	...	...	SYM
ap-6083	193	3	n	n	CCONJ
ap-6083	193	4	here	here	ADV
ap-6083	193	5	the	the	DET
ap-6083	193	6	amplitudes	amplitude	NOUN
ap-6083	193	7	ax	ax	NOUN
ap-6083	193	8	,	,	PUNCT
ap-6083	193	9	ay	ay	NOUN
ap-6083	193	10	and	and	CCONJ
ap-6083	193	11	aα	aα	PROPN
ap-6083	193	12	,	,	PUNCT
ap-6083	193	13	the	the	DET
ap-6083	193	14	phaseshifts	phaseshift	NOUN
ap-6083	193	15	φx	φx	ADV
ap-6083	193	16	,	,	PUNCT
ap-6083	193	17	φy	φy	PROPN
ap-6083	193	18	and	and	CCONJ
ap-6083	193	19	φα	φα	PROPN
ap-6083	193	20	and	and	CCONJ
ap-6083	193	21	the	the	DET
ap-6083	193	22	frequency	frequency	NOUN
ap-6083	193	23	f	f	X
ap-6083	193	24	are	be	AUX
ap-6083	193	25	obtained	obtain	VERB
ap-6083	193	26	via	via	ADP
ap-6083	193	27	an	an	DET
ap-6083	193	28	a	a	PRON
ap-6083	193	29	-	-	PUNCT
ap-6083	193	30	priori	priori	ADJ
ap-6083	193	31	structural	structural	ADJ
ap-6083	193	32	analysis	analysis	NOUN
ap-6083	193	33	performed	perform	VERB
ap-6083	193	34	in	in	ADP
ap-6083	193	35	ansys	ansys	PROPN
ap-6083	193	36	.	.	PUNCT
ap-6083	194	1	the	the	DET
ap-6083	194	2	index	index	NOUN
ap-6083	194	3	i	i	PRON
ap-6083	194	4	denotes	denote	VERB
ap-6083	194	5	the	the	DET
ap-6083	194	6	position	position	NOUN
ap-6083	194	7	of	of	ADP
ap-6083	194	8	the	the	DET
ap-6083	194	9	blade	blade	NOUN
ap-6083	194	10	in	in	ADP
ap-6083	194	11	the	the	DET
ap-6083	194	12	cascade	cascade	NOUN
ap-6083	194	13	,	,	PUNCT
ap-6083	194	14	ranging	range	VERB
ap-6083	194	15	from	from	ADP
ap-6083	194	16	1	1	NUM
ap-6083	194	17	to	to	ADP
ap-6083	194	18	the	the	DET
ap-6083	194	19	overall	overall	ADJ
ap-6083	194	20	number	number	NOUN
ap-6083	194	21	of	of	ADP
ap-6083	194	22	blades	blade	NOUN
ap-6083	194	23	n	n	CCONJ
ap-6083	194	24	,	,	PUNCT
ap-6083	194	25	and	and	CCONJ
ap-6083	194	26	the	the	DET
ap-6083	194	27	ibpa	ibpa	NOUN
ap-6083	194	28	signifies	signify	VERB
ap-6083	194	29	the	the	DET
ap-6083	194	30	phase	phase	NOUN
ap-6083	194	31	shift	shift	NOUN
ap-6083	194	32	between	between	ADP
ap-6083	194	33	two	two	NUM
ap-6083	194	34	adjacent	adjacent	ADJ
ap-6083	194	35	blades	blade	NOUN
ap-6083	194	36	.	.	PUNCT
ap-6083	195	1	basic	basic	ADJ
ap-6083	195	2	test	test	NOUN
ap-6083	195	3	-	-	PUNCT
ap-6083	195	4	case	case	NOUN
ap-6083	195	5	parameters	parameter	NOUN
ap-6083	195	6	are	be	AUX
ap-6083	195	7	listed	list	VERB
ap-6083	195	8	in	in	ADP
ap-6083	195	9	the	the	DET
ap-6083	195	10	tab	tab	NOUN
ap-6083	195	11	.	.	PUNCT
ap-6083	196	1	1	1	X
ap-6083	196	2	.	.	PUNCT
ap-6083	196	3	the	the	DET
ap-6083	196	4	mixed	mix	VERB
ap-6083	196	5	-	-	PUNCT
ap-6083	196	6	element	element	NOUN
ap-6083	196	7	tri	tri	NOUN
ap-6083	196	8	/	/	SYM
ap-6083	196	9	quad	quad	ADJ
ap-6083	196	10	grid	grid	NOUN
ap-6083	196	11	contains	contain	VERB
ap-6083	196	12	13.107	13.107	NUM
ap-6083	196	13	elements	element	NOUN
ap-6083	196	14	per	per	ADP
ap-6083	196	15	blade	blade	NOUN
ap-6083	196	16	passage	passage	NOUN
ap-6083	196	17	(	(	PUNCT
ap-6083	196	18	fig	fig	NOUN
ap-6083	196	19	.	.	PUNCT
ap-6083	197	1	2	2	NUM
ap-6083	197	2	-	-	PUNCT
ap-6083	197	3	bottom	bottom	NOUN
ap-6083	197	4	)	)	PUNCT
ap-6083	197	5	and	and	CCONJ
ap-6083	197	6	its	its	PRON
ap-6083	197	7	movement	movement	NOUN
ap-6083	197	8	is	be	AUX
ap-6083	197	9	realized	realize	VERB
ap-6083	197	10	similarly	similarly	ADV
ap-6083	197	11	to	to	ADP
ap-6083	197	12	the	the	DET
ap-6083	197	13	stcf4	stcf4	PROPN
ap-6083	197	14	test	test	NOUN
ap-6083	197	15	case	case	NOUN
ap-6083	197	16	.	.	PUNCT
ap-6083	198	1	4	4	X
ap-6083	198	2	.	.	NOUN
ap-6083	198	3	results	result	NOUN
ap-6083	198	4	and	and	CCONJ
ap-6083	198	5	discussion	discussion	NOUN
ap-6083	198	6	4.1	4.1	NUM
ap-6083	198	7	.	.	PUNCT
ap-6083	199	1	gradient	gradient	ADJ
ap-6083	199	2	reconstruction	reconstruction	NOUN
ap-6083	199	3	reconstruction	reconstruction	NOUN
ap-6083	199	4	of	of	ADP
ap-6083	199	5	gradients	gradient	NOUN
ap-6083	199	6	from	from	ADP
ap-6083	199	7	the	the	DET
ap-6083	199	8	cell	cell	NOUN
ap-6083	199	9	-	-	PUNCT
ap-6083	199	10	wise	wise	ADJ
ap-6083	199	11	constant	constant	ADJ
ap-6083	199	12	representation	representation	NOUN
ap-6083	199	13	is	be	AUX
ap-6083	199	14	performed	perform	VERB
ap-6083	199	15	within	within	ADP
ap-6083	199	16	the	the	DET
ap-6083	199	17	muscl	muscl	PROPN
ap-6083	199	18	framework	framework	NOUN
ap-6083	199	19	to	to	PART
ap-6083	199	20	obtain	obtain	VERB
ap-6083	199	21	a	a	DET
ap-6083	199	22	higher	high	ADJ
ap-6083	199	23	-	-	PUNCT
ap-6083	199	24	order	order	NOUN
ap-6083	199	25	numerical	numerical	ADJ
ap-6083	199	26	method	method	NOUN
ap-6083	199	27	.	.	PUNCT
ap-6083	200	1	the	the	DET
ap-6083	200	2	present	present	ADJ
ap-6083	200	3	technique	technique	NOUN
ap-6083	200	4	employs	employ	VERB
ap-6083	200	5	the	the	DET
ap-6083	200	6	weighted	weighted	ADJ
ap-6083	200	7	least	least	ADJ
ap-6083	200	8	square	square	ADJ
ap-6083	200	9	approximation	approximation	NOUN
ap-6083	200	10	described	describe	VERB
ap-6083	200	11	at	at	ADP
ap-6083	200	12	the	the	DET
ap-6083	200	13	beginning	beginning	NOUN
ap-6083	200	14	of	of	ADP
ap-6083	200	15	sec	sec	PROPN
ap-6083	200	16	.	.	PROPN
ap-6083	200	17	2.3	2.3	NUM
ap-6083	200	18	.	.	PUNCT
ap-6083	201	1	grid	grid	VERB
ap-6083	201	2	a	a	DET
ap-6083	201	3	(	(	PUNCT
ap-6083	201	4	tri	tri	ADJ
ap-6083	201	5	)	)	PUNCT
ap-6083	201	6	l2	l2	NOUN
ap-6083	201	7	-	-	PUNCT
ap-6083	201	8	norm	norm	NOUN
ap-6083	201	9	l∞-norm	l∞-norm	NOUN
ap-6083	201	10	k	k	PROPN
ap-6083	201	11	face	face	NOUN
ap-6083	201	12	vertex	vertex	NOUN
ap-6083	201	13	face	face	NOUN
ap-6083	201	14	vertex	vertex	NOUN
ap-6083	201	15	0	0	NUM
ap-6083	201	16	0.99	0.99	NUM
ap-6083	201	17	1.07	1.07	NUM
ap-6083	201	18	0.95	0.95	NUM
ap-6083	201	19	0.93	0.93	NUM
ap-6083	201	20	1	1	NUM
ap-6083	201	21	0.99	0.99	NUM
ap-6083	201	22	1.14	1.14	NUM
ap-6083	201	23	0.94	0.94	NUM
ap-6083	201	24	0.98	0.98	NUM
ap-6083	201	25	1.5	1.5	NUM
ap-6083	201	26	1.00	1.00	NUM
ap-6083	201	27	1.68	1.68	NUM
ap-6083	201	28	0.93	0.93	NUM
ap-6083	201	29	1.01	1.01	NUM
ap-6083	201	30	2	2	NUM
ap-6083	201	31	1.00	1.00	NUM
ap-6083	201	32	1.10	1.10	NUM
ap-6083	201	33	0.92	0.92	NUM
ap-6083	201	34	0.90	0.90	NUM
ap-6083	201	35	grid	grid	NOUN
ap-6083	201	36	b	b	PROPN
ap-6083	201	37	(	(	PUNCT
ap-6083	201	38	quad	quad	ADJ
ap-6083	201	39	)	)	PUNCT
ap-6083	201	40	l2	l2	NOUN
ap-6083	201	41	-	-	PUNCT
ap-6083	201	42	norm	norm	NOUN
ap-6083	201	43	l∞-norm	l∞-norm	NOUN
ap-6083	201	44	k	k	PROPN
ap-6083	201	45	face	face	NOUN
ap-6083	201	46	vertex	vertex	NOUN
ap-6083	201	47	face	face	NOUN
ap-6083	201	48	vertex	vertex	NOUN
ap-6083	201	49	0	0	NUM
ap-6083	201	50	1.62	1.62	NUM
ap-6083	201	51	1.55	1.55	NUM
ap-6083	201	52	0.01	0.01	NUM
ap-6083	201	53	0.02	0.02	NUM
ap-6083	201	54	1	1	NUM
ap-6083	201	55	1.64	1.64	NUM
ap-6083	201	56	1.72	1.72	NUM
ap-6083	201	57	0.01	0.01	NUM
ap-6083	201	58	0.15	0.15	NUM
ap-6083	201	59	1.5	1.5	NUM
ap-6083	201	60	1.64	1.64	NUM
ap-6083	201	61	1.76	1.76	NUM
ap-6083	201	62	0.00	0.00	NUM
ap-6083	201	63	0.23	0.23	NUM
ap-6083	201	64	2	2	NUM
ap-6083	201	65	1.65	1.65	NUM
ap-6083	201	66	1.76	1.76	NUM
ap-6083	201	67	0.03	0.03	NUM
ap-6083	201	68	0.23	0.23	NUM
ap-6083	201	69	grid	grid	NOUN
ap-6083	201	70	c	c	NOUN
ap-6083	201	71	(	(	PUNCT
ap-6083	201	72	tri	tri	ADJ
ap-6083	201	73	/	/	SYM
ap-6083	201	74	quad	quad	ADJ
ap-6083	201	75	interface	interface	NOUN
ap-6083	201	76	)	)	PUNCT
ap-6083	201	77	l2	l2	NOUN
ap-6083	201	78	-	-	PUNCT
ap-6083	201	79	norm	norm	NOUN
ap-6083	201	80	l∞-norm	l∞-norm	NOUN
ap-6083	201	81	k	k	PROPN
ap-6083	201	82	face	face	NOUN
ap-6083	201	83	vertex	vertex	NOUN
ap-6083	201	84	face	face	NOUN
ap-6083	201	85	vertex	vertex	NOUN
ap-6083	201	86	0	0	NUM
ap-6083	201	87	1.13	1.13	NUM
ap-6083	201	88	1.24	1.24	NUM
ap-6083	201	89	0.96	0.96	NUM
ap-6083	201	90	0.91	0.91	NUM
ap-6083	201	91	1	1	NUM
ap-6083	201	92	1.11	1.11	NUM
ap-6083	201	93	1.36	1.36	NUM
ap-6083	201	94	0.88	0.88	NUM
ap-6083	201	95	0.98	0.98	NUM
ap-6083	201	96	1.5	1.5	NUM
ap-6083	201	97	1.11	1.11	NUM
ap-6083	201	98	1.76	1.76	NUM
ap-6083	201	99	0.86	0.86	NUM
ap-6083	201	100	1.00	1.00	NUM
ap-6083	201	101	2	2	NUM
ap-6083	201	102	1.11	1.11	NUM
ap-6083	201	103	1.33	1.33	NUM
ap-6083	201	104	0.85	0.85	NUM
ap-6083	201	105	0.97	0.97	NUM
ap-6083	201	106	table	table	NOUN
ap-6083	201	107	2	2	NUM
ap-6083	201	108	.	.	PUNCT
ap-6083	201	109	order	order	NOUN
ap-6083	201	110	of	of	ADP
ap-6083	201	111	accuracy	accuracy	NOUN
ap-6083	201	112	of	of	ADP
ap-6083	201	113	gradient	gradient	NOUN
ap-6083	201	114	approximation	approximation	NOUN
ap-6083	201	115	by	by	ADP
ap-6083	201	116	least	least	ADJ
ap-6083	201	117	squares	square	NOUN
ap-6083	201	118	on	on	ADP
ap-6083	201	119	three	three	NUM
ap-6083	201	120	types	type	NOUN
ap-6083	201	121	of	of	ADP
ap-6083	201	122	meshes	mesh	NOUN
ap-6083	201	123	.	.	PUNCT
ap-6083	202	1	results	result	NOUN
ap-6083	202	2	for	for	ADP
ap-6083	202	3	different	different	ADJ
ap-6083	202	4	values	value	NOUN
ap-6083	202	5	of	of	ADP
ap-6083	202	6	the	the	DET
ap-6083	202	7	distance	distance	NOUN
ap-6083	202	8	-	-	PUNCT
ap-6083	202	9	weighting	weight	VERB
ap-6083	202	10	exponent	exponent	NOUN
ap-6083	202	11	k	k	PROPN
ap-6083	202	12	and	and	CCONJ
ap-6083	202	13	for	for	ADP
ap-6083	202	14	stencils	stencil	NOUN
ap-6083	202	15	including	include	VERB
ap-6083	202	16	either	either	CCONJ
ap-6083	202	17	f	f	PROPN
ap-6083	202	18	aceor	aceor	NOUN
ap-6083	202	19	vertexadjacent	vertexadjacent	NOUN
ap-6083	202	20	cells	cell	NOUN
ap-6083	202	21	.	.	PUNCT
ap-6083	203	1	in	in	ADP
ap-6083	203	2	order	order	NOUN
ap-6083	203	3	to	to	PART
ap-6083	203	4	evaluate	evaluate	VERB
ap-6083	203	5	the	the	DET
ap-6083	203	6	suitable	suitable	ADJ
ap-6083	203	7	choice	choice	NOUN
ap-6083	203	8	for	for	ADP
ap-6083	203	9	the	the	DET
ap-6083	203	10	stencil	stencil	PROPN
ap-6083	203	11	size	size	NOUN
ap-6083	203	12	and	and	CCONJ
ap-6083	203	13	for	for	ADP
ap-6083	203	14	the	the	DET
ap-6083	203	15	value	value	NOUN
ap-6083	203	16	of	of	ADP
ap-6083	203	17	the	the	DET
ap-6083	203	18	weighting	weighting	NOUN
ap-6083	203	19	exponent	exponent	NOUN
ap-6083	203	20	k	k	X
ap-6083	203	21	(	(	PUNCT
ap-6083	203	22	eq	eq	NOUN
ap-6083	203	23	.	.	PROPN
ap-6083	203	24	11	11	NUM
ap-6083	203	25	)	)	PUNCT
ap-6083	203	26	,	,	PUNCT
ap-6083	203	27	the	the	DET
ap-6083	203	28	accuracy	accuracy	NOUN
ap-6083	203	29	of	of	ADP
ap-6083	203	30	the	the	DET
ap-6083	203	31	method	method	NOUN
ap-6083	203	32	was	be	AUX
ap-6083	203	33	tested	test	VERB
ap-6083	203	34	on	on	ADP
ap-6083	203	35	three	three	NUM
ap-6083	203	36	types	type	NOUN
ap-6083	203	37	of	of	ADP
ap-6083	203	38	grids	grid	NOUN
ap-6083	203	39	.	.	PUNCT
ap-6083	204	1	the	the	DET
ap-6083	204	2	test	test	NOUN
ap-6083	204	3	-	-	PUNCT
ap-6083	204	4	grids	grid	NOUN
ap-6083	204	5	are	be	AUX
ap-6083	204	6	presented	present	VERB
ap-6083	204	7	in	in	ADP
ap-6083	204	8	fig	fig	NOUN
ap-6083	204	9	.	.	PUNCT
ap-6083	205	1	3	3	NUM
ap-6083	205	2	:	:	PUNCT
ap-6083	205	3	grid	grid	NOUN
ap-6083	205	4	(	(	PUNCT
ap-6083	205	5	a	a	X
ap-6083	205	6	)	)	PUNCT
ap-6083	205	7	is	be	AUX
ap-6083	205	8	composed	compose	VERB
ap-6083	205	9	of	of	ADP
ap-6083	205	10	triangular	triangular	NOUN
ap-6083	205	11	cells	cell	NOUN
ap-6083	205	12	,	,	PUNCT
ap-6083	205	13	grid	grid	NOUN
ap-6083	205	14	(	(	PUNCT
ap-6083	205	15	b	b	NOUN
ap-6083	205	16	)	)	PUNCT
ap-6083	205	17	of	of	ADP
ap-6083	205	18	quadrilateral	quadrilateral	ADJ
ap-6083	205	19	cells	cell	NOUN
ap-6083	205	20	and	and	CCONJ
ap-6083	205	21	grid	grid	NOUN
ap-6083	205	22	(	(	PUNCT
ap-6083	205	23	c	c	NOUN
ap-6083	205	24	)	)	PUNCT
ap-6083	205	25	comprises	comprise	VERB
ap-6083	205	26	two	two	NUM
ap-6083	205	27	sections	section	NOUN
ap-6083	205	28	featuring	feature	VERB
ap-6083	205	29	triangular	triangular	NOUN
ap-6083	205	30	and	and	CCONJ
ap-6083	205	31	quadrilateral	quadrilateral	ADJ
ap-6083	205	32	cells	cell	NOUN
ap-6083	205	33	respectively	respectively	ADV
ap-6083	205	34	.	.	PUNCT
ap-6083	206	1	a	a	DET
ap-6083	206	2	testing	testing	NOUN
ap-6083	206	3	function	function	NOUN
ap-6083	206	4	f(x	f(x	PROPN
ap-6083	206	5	,	,	PUNCT
ap-6083	206	6	y	y	NOUN
ap-6083	206	7	)	)	PUNCT
ap-6083	206	8	=	=	SYM
ap-6083	206	9	tanh(jx)tanh(jy	tanh(jx)tanh(jy	NOUN
ap-6083	206	10	)	)	PUNCT
ap-6083	206	11	(	(	PUNCT
ap-6083	206	12	17	17	NUM
ap-6083	206	13	)	)	PUNCT
ap-6083	206	14	was	be	AUX
ap-6083	206	15	prescribed	prescribe	VERB
ap-6083	206	16	on	on	ADP
ap-6083	206	17	the	the	DET
ap-6083	206	18	domain	domain	NOUN
ap-6083	206	19	and	and	CCONJ
ap-6083	206	20	the	the	DET
ap-6083	206	21	error	error	NOUN
ap-6083	206	22	of	of	ADP
ap-6083	206	23	the	the	DET
ap-6083	206	24	numerical	numerical	PROPN
ap-6083	206	25	gradient	gradient	PROPN
ap-6083	206	26	approximation	approximation	NOUN
ap-6083	206	27	was	be	AUX
ap-6083	206	28	evaluated	evaluate	VERB
ap-6083	206	29	for	for	ADP
ap-6083	206	30	7	7	NUM
ap-6083	206	31	levels	level	NOUN
ap-6083	206	32	of	of	ADP
ap-6083	206	33	refinement	refinement	NOUN
ap-6083	206	34	on	on	ADP
ap-6083	206	35	each	each	PRON
ap-6083	206	36	of	of	ADP
ap-6083	206	37	the	the	DET
ap-6083	206	38	three	three	NUM
ap-6083	206	39	grids	grid	NOUN
ap-6083	206	40	,	,	PUNCT
ap-6083	206	41	halving	halve	VERB
ap-6083	206	42	the	the	DET
ap-6083	206	43	cell	cell	NOUN
ap-6083	206	44	-	-	PUNCT
ap-6083	206	45	edge	edge	NOUN
ap-6083	206	46	length	length	NOUN
ap-6083	206	47	each	each	DET
ap-6083	206	48	time	time	NOUN
ap-6083	206	49	.	.	PUNCT
ap-6083	207	1	the	the	DET
ap-6083	207	2	order	order	NOUN
ap-6083	207	3	of	of	ADP
ap-6083	207	4	convergence	convergence	NOUN
ap-6083	207	5	with	with	ADP
ap-6083	207	6	grid	grid	NOUN
ap-6083	207	7	refinement	refinement	NOUN
ap-6083	207	8	is	be	AUX
ap-6083	207	9	quantified	quantify	VERB
ap-6083	207	10	in	in	ADP
ap-6083	207	11	tab	tab	NOUN
ap-6083	207	12	.	.	PUNCT
ap-6083	207	13	2	2	NUM
ap-6083	207	14	for	for	ADP
ap-6083	207	15	the	the	DET
ap-6083	207	16	overall	overall	ADJ
ap-6083	207	17	error	error	NOUN
ap-6083	207	18	(	(	PUNCT
ap-6083	207	19	l2	l2	NOUN
ap-6083	207	20	-	-	PUNCT
ap-6083	207	21	norm	norm	NOUN
ap-6083	207	22	)	)	PUNCT
ap-6083	207	23	and	and	CCONJ
ap-6083	207	24	for	for	ADP
ap-6083	207	25	the	the	DET
ap-6083	207	26	maximum	maximum	ADJ
ap-6083	207	27	error	error	NOUN
ap-6083	207	28	(	(	PUNCT
ap-6083	207	29	l∞-norm	l∞-norm	PROPN
ap-6083	207	30	)	)	PUNCT
ap-6083	207	31	.	.	PUNCT
ap-6083	208	1	the	the	DET
ap-6083	208	2	results	result	NOUN
ap-6083	208	3	are	be	AUX
ap-6083	208	4	presented	present	VERB
ap-6083	208	5	for	for	ADP
ap-6083	208	6	different	different	ADJ
ap-6083	208	7	values	value	NOUN
ap-6083	208	8	of	of	ADP
ap-6083	208	9	the	the	DET
ap-6083	208	10	weighting	weighting	NOUN
ap-6083	208	11	exponent	exponent	NOUN
ap-6083	208	12	k	k	PROPN
ap-6083	208	13	∈	∈	PROPN
ap-6083	208	14	{	{	PUNCT
ap-6083	208	15	0	0	NUM
ap-6083	208	16	,	,	PUNCT
ap-6083	208	17	1	1	NUM
ap-6083	208	18	,	,	PUNCT
ap-6083	208	19	3	3	NUM
ap-6083	208	20	2	2	NUM
ap-6083	208	21	,	,	PUNCT
ap-6083	208	22	2	2	NUM
ap-6083	208	23	}	}	PUNCT
ap-6083	208	24	and	and	CCONJ
ap-6083	208	25	for	for	ADP
ap-6083	208	26	two	two	NUM
ap-6083	208	27	sizes	size	NOUN
ap-6083	208	28	of	of	ADP
ap-6083	208	29	stencil	stencil	PROPN
ap-6083	208	30	,	,	PUNCT
ap-6083	208	31	including	include	VERB
ap-6083	208	32	either	either	CCONJ
ap-6083	208	33	cells	cell	NOUN
ap-6083	208	34	with	with	ADP
ap-6083	208	35	a	a	DET
ap-6083	208	36	common	common	ADJ
ap-6083	208	37	face	face	NOUN
ap-6083	208	38	only	only	ADV
ap-6083	208	39	,	,	PUNCT
ap-6083	208	40	or	or	CCONJ
ap-6083	208	41	also	also	ADV
ap-6083	208	42	cells	cell	NOUN
ap-6083	208	43	sharing	share	VERB
ap-6083	208	44	a	a	DET
ap-6083	208	45	vertex	vertex	NOUN
ap-6083	208	46	.	.	PUNCT
ap-6083	209	1	the	the	DET
ap-6083	209	2	performance	performance	NOUN
ap-6083	209	3	of	of	ADP
ap-6083	209	4	the	the	DET
ap-6083	209	5	least	least	ADJ
ap-6083	209	6	squares	square	NOUN
ap-6083	209	7	method	method	NOUN
ap-6083	209	8	on	on	ADP
ap-6083	209	9	the	the	DET
ap-6083	209	10	grids	grid	NOUN
ap-6083	209	11	(	(	PUNCT
ap-6083	209	12	a	a	X
ap-6083	209	13	)	)	PUNCT
ap-6083	209	14	and	and	CCONJ
ap-6083	209	15	(	(	PUNCT
ap-6083	209	16	c	c	X
ap-6083	209	17	)	)	PUNCT
ap-6083	209	18	was	be	AUX
ap-6083	209	19	similar	similar	ADJ
ap-6083	209	20	,	,	PUNCT
ap-6083	209	21	achieving	achieve	VERB
ap-6083	209	22	an	an	DET
ap-6083	209	23	order	order	NOUN
ap-6083	209	24	of	of	ADP
ap-6083	209	25	accuracy	accuracy	NOUN
ap-6083	209	26	at	at	ADP
ap-6083	209	27	least	least	ADJ
ap-6083	209	28	0.99	0.99	NUM
ap-6083	209	29	in	in	ADP
ap-6083	209	30	the	the	DET
ap-6083	209	31	l2	l2	NOUN
ap-6083	209	32	-	-	PUNCT
ap-6083	209	33	norm	norm	NOUN
ap-6083	209	34	and	and	CCONJ
ap-6083	209	35	over	over	ADP
ap-6083	209	36	0.85	0.85	NUM
ap-6083	209	37	in	in	ADP
ap-6083	209	38	the	the	DET
ap-6083	209	39	l∞-norm	l∞-norm	NOUN
ap-6083	209	40	.	.	PUNCT
ap-6083	210	1	the	the	DET
ap-6083	210	2	quad	quad	ADJ
ap-6083	210	3	-	-	PUNCT
ap-6083	210	4	element	element	NOUN
ap-6083	210	5	grid	grid	NOUN
ap-6083	210	6	exhibited	exhibit	VERB
ap-6083	210	7	a	a	DET
ap-6083	210	8	substantially	substantially	ADV
ap-6083	210	9	worse	bad	ADJ
ap-6083	210	10	convergence	convergence	NOUN
ap-6083	210	11	in	in	ADP
ap-6083	210	12	the	the	DET
ap-6083	210	13	l∞-norm	l∞-norm	NOUN
ap-6083	210	14	,	,	PUNCT
ap-6083	210	15	with	with	ADP
ap-6083	210	16	the	the	DET
ap-6083	210	17	face	face	NOUN
ap-6083	210	18	-	-	PUNCT
ap-6083	210	19	stencil	stencil	NOUN
ap-6083	210	20	based	base	VERB
ap-6083	210	21	approximation	approximation	NOUN
ap-6083	210	22	failing	fail	VERB
ap-6083	210	23	to	to	PART
ap-6083	210	24	converge	converge	VERB
ap-6083	210	25	140	140	NUM
ap-6083	210	26	vol	vol	NOUN
ap-6083	210	27	.	.	PUNCT
ap-6083	211	1	61	61	NUM
ap-6083	211	2	special	special	ADJ
ap-6083	211	3	issue/2021	issue/2021	NOUN
ap-6083	211	4	numerical	numerical	PROPN
ap-6083	211	5	flutter	flutter	PROPN
ap-6083	211	6	prediction	prediction	NOUN
ap-6083	211	7	figure	figure	NOUN
ap-6083	211	8	4	4	NUM
ap-6083	211	9	.	.	PUNCT
ap-6083	212	1	pseudo	pseudo	NOUN
ap-6083	212	2	-	-	NOUN
ap-6083	212	3	schlieren	schlieren	NOUN
ap-6083	212	4	of	of	ADP
ap-6083	212	5	a	a	DET
ap-6083	212	6	steady	steady	ADJ
ap-6083	212	7	-	-	PUNCT
ap-6083	212	8	state	state	NOUN
ap-6083	212	9	flow	flow	NOUN
ap-6083	212	10	in	in	ADP
ap-6083	212	11	the	the	DET
ap-6083	212	12	stcf4	stcf4	PROPN
ap-6083	212	13	cascade	cascade	NOUN
ap-6083	212	14	.	.	PUNCT
ap-6083	213	1	entirely	entirely	ADV
ap-6083	213	2	and	and	CCONJ
ap-6083	213	3	the	the	DET
ap-6083	213	4	vertex	vertex	NOUN
ap-6083	213	5	-	-	PUNCT
ap-6083	213	6	based	base	VERB
ap-6083	213	7	approximation	approximation	NOUN
ap-6083	213	8	achieving	achieve	VERB
ap-6083	213	9	at	at	ADP
ap-6083	213	10	best	good	ADJ
ap-6083	213	11	an	an	DET
ap-6083	213	12	order	order	NOUN
ap-6083	213	13	of	of	ADP
ap-6083	213	14	accuracy	accuracy	NOUN
ap-6083	213	15	0.23	0.23	NUM
ap-6083	213	16	.	.	PUNCT
ap-6083	214	1	the	the	DET
ap-6083	214	2	l2	l2	NOUN
ap-6083	214	3	-	-	PUNCT
ap-6083	214	4	norm	norm	NOUN
ap-6083	214	5	error	error	NOUN
ap-6083	214	6	of	of	ADP
ap-6083	214	7	the	the	DET
ap-6083	214	8	quad	quad	ADJ
ap-6083	214	9	grid	grid	NOUN
ap-6083	214	10	,	,	PUNCT
ap-6083	214	11	on	on	ADP
ap-6083	214	12	the	the	DET
ap-6083	214	13	contrary	contrary	NOUN
ap-6083	214	14	,	,	PUNCT
ap-6083	214	15	converged	converge	VERB
ap-6083	214	16	the	the	DET
ap-6083	214	17	fastest	fast	ADJ
ap-6083	214	18	of	of	ADP
ap-6083	214	19	all	all	DET
ap-6083	214	20	grid	grid	NOUN
ap-6083	214	21	-	-	PUNCT
ap-6083	214	22	types	type	NOUN
ap-6083	214	23	.	.	PUNCT
ap-6083	215	1	the	the	DET
ap-6083	215	2	failure	failure	NOUN
ap-6083	215	3	to	to	PART
ap-6083	215	4	converge	converge	VERB
ap-6083	215	5	in	in	ADP
ap-6083	215	6	the	the	DET
ap-6083	215	7	l∞-norm	l∞-norm	NOUN
ap-6083	215	8	was	be	AUX
ap-6083	215	9	caused	cause	VERB
ap-6083	215	10	by	by	ADP
ap-6083	215	11	a	a	DET
ap-6083	215	12	small	small	ADJ
ap-6083	215	13	region	region	NOUN
ap-6083	215	14	of	of	ADP
ap-6083	215	15	extremely	extremely	ADV
ap-6083	215	16	skewed	skewed	ADJ
ap-6083	215	17	cells	cell	NOUN
ap-6083	215	18	near	near	ADP
ap-6083	215	19	the	the	DET
ap-6083	215	20	lower	low	ADJ
ap-6083	215	21	boundary	boundary	NOUN
ap-6083	215	22	of	of	ADP
ap-6083	215	23	the	the	DET
ap-6083	215	24	domain	domain	NOUN
ap-6083	215	25	,	,	PUNCT
ap-6083	215	26	becoming	become	VERB
ap-6083	215	27	even	even	ADV
ap-6083	215	28	more	more	ADV
ap-6083	215	29	distorted	distort	VERB
ap-6083	215	30	with	with	ADP
ap-6083	215	31	each	each	DET
ap-6083	215	32	refinement	refinement	NOUN
ap-6083	215	33	.	.	PUNCT
ap-6083	216	1	such	such	ADJ
ap-6083	216	2	low	low	ADJ
ap-6083	216	3	-	-	PUNCT
ap-6083	216	4	quality	quality	NOUN
ap-6083	216	5	cells	cell	NOUN
ap-6083	216	6	would	would	AUX
ap-6083	216	7	normally	normally	ADV
ap-6083	216	8	be	be	AUX
ap-6083	216	9	avoided	avoid	VERB
ap-6083	216	10	at	at	ADP
ap-6083	216	11	the	the	DET
ap-6083	216	12	grid	grid	NOUN
ap-6083	216	13	generation	generation	NOUN
ap-6083	216	14	stage	stage	NOUN
ap-6083	216	15	.	.	PUNCT
ap-6083	217	1	the	the	DET
ap-6083	217	2	accuracy	accuracy	NOUN
ap-6083	217	3	of	of	ADP
ap-6083	217	4	the	the	DET
ap-6083	217	5	approximation	approximation	NOUN
ap-6083	217	6	was	be	AUX
ap-6083	217	7	generally	generally	ADV
ap-6083	217	8	higher	high	ADJ
ap-6083	217	9	for	for	ADP
ap-6083	217	10	the	the	DET
ap-6083	217	11	larger	large	ADJ
ap-6083	217	12	stencil	stencil	PROPN
ap-6083	217	13	.	.	PUNCT
ap-6083	218	1	only	only	ADV
ap-6083	218	2	the	the	DET
ap-6083	218	3	unweighted	unweighted	ADJ
ap-6083	218	4	least	least	ADJ
ap-6083	218	5	squares	square	NOUN
ap-6083	218	6	(	(	PUNCT
ap-6083	218	7	k	k	NOUN
ap-6083	218	8	=	=	NOUN
ap-6083	218	9	0	0	NUM
ap-6083	218	10	)	)	PUNCT
ap-6083	218	11	in	in	ADP
ap-6083	218	12	some	some	DET
ap-6083	218	13	cases	case	NOUN
ap-6083	218	14	achieved	achieve	VERB
ap-6083	218	15	slightly	slightly	ADV
ap-6083	218	16	better	well	ADJ
ap-6083	218	17	results	result	NOUN
ap-6083	218	18	with	with	ADP
ap-6083	218	19	the	the	DET
ap-6083	218	20	faced	face	VERB
ap-6083	218	21	-	-	PUNCT
ap-6083	218	22	based	base	VERB
ap-6083	218	23	stencil	stencil	PROPN
ap-6083	218	24	.	.	PUNCT
ap-6083	219	1	the	the	DET
ap-6083	219	2	best	good	ADJ
ap-6083	219	3	convergence	convergence	NOUN
ap-6083	219	4	was	be	AUX
ap-6083	219	5	obtained	obtain	VERB
ap-6083	219	6	with	with	ADP
ap-6083	219	7	the	the	DET
ap-6083	219	8	weighting	weighting	NOUN
ap-6083	219	9	exponent	exponent	NOUN
ap-6083	219	10	set	set	VERB
ap-6083	219	11	to	to	ADP
ap-6083	219	12	k	k	PROPN
ap-6083	219	13	=	=	PUNCT
ap-6083	219	14	3	3	NUM
ap-6083	219	15	2	2	NUM
ap-6083	219	16	,	,	PUNCT
ap-6083	219	17	in	in	ADP
ap-6083	219	18	agreement	agreement	NOUN
ap-6083	219	19	with	with	ADP
ap-6083	219	20	the	the	DET
ap-6083	219	21	observations	observation	NOUN
ap-6083	219	22	of	of	ADP
ap-6083	219	23	syrakos	syrakos	PROPN
ap-6083	219	24	et	et	PROPN
ap-6083	219	25	al	al	PROPN
ap-6083	219	26	.	.	PUNCT
ap-6083	220	1	[	[	X
ap-6083	220	2	26	26	NUM
ap-6083	220	3	]	]	PUNCT
ap-6083	220	4	.	.	PUNCT
ap-6083	221	1	the	the	DET
ap-6083	221	2	achieved	achieve	VERB
ap-6083	221	3	order	order	NOUN
ap-6083	221	4	of	of	ADP
ap-6083	221	5	accuracy	accuracy	NOUN
ap-6083	221	6	for	for	ADP
ap-6083	221	7	k	k	PROPN
ap-6083	221	8	=	=	SYM
ap-6083	221	9	3	3	NUM
ap-6083	221	10	2	2	NUM
ap-6083	221	11	combined	combine	VERB
ap-6083	221	12	with	with	ADP
ap-6083	221	13	the	the	DET
ap-6083	221	14	vertex	vertex	NOUN
ap-6083	221	15	-	-	PUNCT
ap-6083	221	16	based	base	VERB
ap-6083	221	17	stencil	stencil	PROPN
ap-6083	221	18	was	be	AUX
ap-6083	221	19	over	over	ADP
ap-6083	221	20	1.68	1.68	NUM
ap-6083	221	21	in	in	ADP
ap-6083	221	22	the	the	DET
ap-6083	221	23	l2	l2	NOUN
ap-6083	221	24	-	-	PUNCT
ap-6083	221	25	norm	norm	NOUN
ap-6083	221	26	on	on	ADP
ap-6083	221	27	all	all	DET
ap-6083	221	28	grids	grid	NOUN
ap-6083	221	29	and	and	CCONJ
ap-6083	221	30	at	at	ADP
ap-6083	221	31	least	least	ADJ
ap-6083	221	32	1.0	1.0	NUM
ap-6083	221	33	in	in	ADP
ap-6083	221	34	the	the	DET
ap-6083	221	35	l∞-norm	l∞-norm	NOUN
ap-6083	221	36	everywhere	everywhere	ADV
ap-6083	221	37	except	except	SCONJ
ap-6083	221	38	on	on	ADP
ap-6083	221	39	the	the	DET
ap-6083	221	40	quadtype	quadtype	NOUN
ap-6083	221	41	grid	grid	NOUN
ap-6083	221	42	.	.	PUNCT
ap-6083	222	1	it	it	PRON
ap-6083	222	2	can	can	AUX
ap-6083	222	3	be	be	AUX
ap-6083	222	4	concluded	conclude	VERB
ap-6083	222	5	that	that	SCONJ
ap-6083	222	6	the	the	DET
ap-6083	222	7	weighted	weighted	ADJ
ap-6083	222	8	least	least	ADJ
ap-6083	222	9	squares	square	NOUN
ap-6083	222	10	method	method	NOUN
ap-6083	222	11	with	with	ADP
ap-6083	222	12	these	these	DET
ap-6083	222	13	settings	setting	NOUN
ap-6083	222	14	achieves	achieve	VERB
ap-6083	222	15	an	an	DET
ap-6083	222	16	order	order	NOUN
ap-6083	222	17	of	of	ADP
ap-6083	222	18	accuracy	accuracy	NOUN
ap-6083	222	19	of	of	ADP
ap-6083	222	20	at	at	ADV
ap-6083	222	21	least	least	ADV
ap-6083	222	22	1	1	NUM
ap-6083	222	23	in	in	ADP
ap-6083	222	24	both	both	DET
ap-6083	222	25	types	type	NOUN
ap-6083	222	26	of	of	ADP
ap-6083	222	27	norms	norm	NOUN
ap-6083	222	28	,	,	PUNCT
ap-6083	222	29	providing	provide	VERB
ap-6083	222	30	that	that	SCONJ
ap-6083	222	31	extremely	extremely	ADV
ap-6083	222	32	low	low	ADJ
ap-6083	222	33	-	-	PUNCT
ap-6083	222	34	quality	quality	NOUN
ap-6083	222	35	cells	cell	NOUN
ap-6083	222	36	are	be	AUX
ap-6083	222	37	avoided	avoid	VERB
ap-6083	222	38	.	.	PUNCT
ap-6083	223	1	thus	thus	ADV
ap-6083	223	2	it	it	PRON
ap-6083	223	3	is	be	AUX
ap-6083	223	4	fully	fully	ADV
ap-6083	223	5	satisfactory	satisfactory	ADJ
ap-6083	223	6	for	for	ADP
ap-6083	223	7	the	the	DET
ap-6083	223	8	construction	construction	NOUN
ap-6083	223	9	of	of	ADP
ap-6083	223	10	a	a	DET
ap-6083	223	11	second	second	ADJ
ap-6083	223	12	-	-	PUNCT
ap-6083	223	13	order	order	NOUN
ap-6083	223	14	accurate	accurate	ADJ
ap-6083	223	15	numerical	numerical	ADJ
ap-6083	223	16	scheme	scheme	NOUN
ap-6083	223	17	and	and	CCONJ
ap-6083	223	18	it	it	PRON
ap-6083	223	19	is	be	AUX
ap-6083	223	20	used	use	VERB
ap-6083	223	21	for	for	ADP
ap-6083	223	22	the	the	DET
ap-6083	223	23	computations	computation	NOUN
ap-6083	223	24	presented	present	VERB
ap-6083	223	25	further	far	ADV
ap-6083	223	26	in	in	ADP
ap-6083	223	27	this	this	DET
ap-6083	223	28	paper	paper	NOUN
ap-6083	223	29	.	.	PUNCT
ap-6083	224	1	4.2	4.2	NUM
ap-6083	224	2	.	.	PUNCT
ap-6083	225	1	fourth	fourth	ADJ
ap-6083	225	2	standard	standard	ADJ
ap-6083	225	3	configuration	configuration	NOUN
ap-6083	225	4	turbine	turbine	NOUN
ap-6083	225	5	steady	steady	ADJ
ap-6083	225	6	-	-	PUNCT
ap-6083	225	7	state	state	NOUN
ap-6083	225	8	results	result	NOUN
ap-6083	225	9	.	.	PUNCT
ap-6083	226	1	the	the	DET
ap-6083	226	2	topology	topology	NOUN
ap-6083	226	3	of	of	ADP
ap-6083	226	4	the	the	DET
ap-6083	226	5	steadystate	steadystate	ADJ
ap-6083	226	6	flow	flow	NOUN
ap-6083	226	7	is	be	AUX
ap-6083	226	8	illustrated	illustrate	VERB
ap-6083	226	9	in	in	ADP
ap-6083	226	10	the	the	DET
ap-6083	226	11	fig	fig	NOUN
ap-6083	226	12	.	.	PUNCT
ap-6083	227	1	5	5	NUM
ap-6083	227	2	by	by	ADP
ap-6083	227	3	means	mean	NOUN
ap-6083	227	4	of	of	ADP
ap-6083	227	5	density	density	NOUN
ap-6083	227	6	gradient	gradient	NOUN
ap-6083	227	7	contours	contours	NOUN
ap-6083	227	8	,	,	PUNCT
ap-6083	227	9	imitating	imitate	VERB
ap-6083	227	10	a	a	DET
ap-6083	227	11	schlieren	schlieren	PROPN
ap-6083	227	12	image	image	NOUN
ap-6083	227	13	.	.	PUNCT
ap-6083	228	1	the	the	DET
ap-6083	228	2	flow	flow	NOUN
ap-6083	228	3	with	with	ADP
ap-6083	228	4	an	an	DET
ap-6083	228	5	average	average	ADJ
ap-6083	228	6	inlet	inlet	NOUN
ap-6083	228	7	mach	mach	NOUN
ap-6083	228	8	number	number	NOUN
ap-6083	228	9	0.21	0.21	NUM
ap-6083	228	10	is	be	AUX
ap-6083	228	11	accelerated	accelerate	VERB
ap-6083	228	12	in	in	ADP
ap-6083	228	13	the	the	DET
ap-6083	228	14	blade	blade	NOUN
ap-6083	228	15	passage	passage	NOUN
ap-6083	228	16	up	up	ADP
ap-6083	228	17	to	to	ADP
ap-6083	228	18	approximately	approximately	ADV
ap-6083	228	19	m	m	NOUN
ap-6083	228	20	=	=	NOUN
ap-6083	228	21	1.6	1.6	NUM
ap-6083	228	22	,	,	PUNCT
ap-6083	228	23	until	until	SCONJ
ap-6083	228	24	it	it	PRON
ap-6083	228	25	encounters	encounter	VERB
ap-6083	228	26	a	a	DET
ap-6083	228	27	right	right	ADV
ap-6083	228	28	-	-	PUNCT
ap-6083	228	29	running	run	VERB
ap-6083	228	30	shockwave	shockwave	NOUN
ap-6083	228	31	formed	form	VERB
ap-6083	228	32	at	at	ADP
ap-6083	228	33	the	the	DET
ap-6083	228	34	te	te	PROPN
ap-6083	228	35	of	of	ADP
ap-6083	228	36	the	the	DET
ap-6083	228	37	upper	upper	ADJ
ap-6083	228	38	blade	blade	NOUN
ap-6083	228	39	.	.	PUNCT
ap-6083	229	1	the	the	DET
ap-6083	229	2	shockwave	shockwave	PROPN
ap-6083	229	3	impinges	impinge	VERB
ap-6083	229	4	on	on	ADP
ap-6083	229	5	the	the	DET
ap-6083	229	6	suction	suction	NOUN
ap-6083	229	7	side	side	NOUN
ap-6083	229	8	(	(	PUNCT
ap-6083	229	9	ss	ss	NOUN
ap-6083	229	10	)	)	PUNCT
ap-6083	229	11	of	of	ADP
ap-6083	229	12	the	the	DET
ap-6083	229	13	figure	figure	NOUN
ap-6083	229	14	5	5	NUM
ap-6083	229	15	.	.	PUNCT
ap-6083	229	16	pressure	pressure	NOUN
ap-6083	229	17	coefficient	coefficient	NOUN
ap-6083	229	18	distribution	distribution	NOUN
ap-6083	229	19	(	(	PUNCT
ap-6083	229	20	top	top	ADJ
ap-6083	229	21	)	)	PUNCT
ap-6083	229	22	and	and	CCONJ
ap-6083	229	23	convergence	convergence	NOUN
ap-6083	229	24	history	history	NOUN
ap-6083	229	25	(	(	PUNCT
ap-6083	229	26	bottom	bottom	NOUN
ap-6083	229	27	)	)	PUNCT
ap-6083	229	28	for	for	ADP
ap-6083	229	29	stcf4	stcf4	PROPN
ap-6083	229	30	computations	computation	NOUN
ap-6083	229	31	with	with	ADP
ap-6083	229	32	different	different	ADJ
ap-6083	229	33	limiters	limiter	NOUN
ap-6083	229	34	.	.	PUNCT
ap-6083	230	1	the	the	DET
ap-6083	230	2	top	top	ADJ
ap-6083	230	3	plot	plot	NOUN
ap-6083	230	4	includes	include	VERB
ap-6083	230	5	experimental	experimental	ADJ
ap-6083	230	6	data	datum	NOUN
ap-6083	231	1	[	[	X
ap-6083	231	2	41	41	NUM
ap-6083	231	3	]	]	PUNCT
ap-6083	231	4	marked	mark	VERB
ap-6083	231	5	by	by	ADP
ap-6083	231	6	x.	x.	PROPN
ap-6083	231	7	lower	lower	PROPN
ap-6083	231	8	blade	blade	NOUN
ap-6083	231	9	,	,	PUNCT
ap-6083	231	10	reflects	reflect	VERB
ap-6083	231	11	from	from	ADP
ap-6083	231	12	the	the	DET
ap-6083	231	13	surface	surface	NOUN
ap-6083	231	14	at	at	ADP
ap-6083	231	15	55	55	NUM
ap-6083	231	16	%	%	NOUN
ap-6083	231	17	chord	chord	NOUN
ap-6083	231	18	and	and	CCONJ
ap-6083	231	19	propagates	propagate	VERB
ap-6083	231	20	further	far	ADV
ap-6083	231	21	downstream	downstream	ADV
ap-6083	231	22	at	at	ADP
ap-6083	231	23	an	an	DET
ap-6083	231	24	angle	angle	NOUN
ap-6083	231	25	of	of	ADP
ap-6083	231	26	−30	−30	NOUN
ap-6083	231	27	°	°	NOUN
ap-6083	231	28	from	from	ADP
ap-6083	231	29	the	the	DET
ap-6083	231	30	machine	machine	NOUN
ap-6083	231	31	axis	axis	NOUN
ap-6083	231	32	.	.	PUNCT
ap-6083	232	1	a	a	DET
ap-6083	232	2	left	left	ADV
ap-6083	232	3	-	-	PUNCT
ap-6083	232	4	running	run	VERB
ap-6083	232	5	oblique	oblique	ADJ
ap-6083	232	6	shock	shock	NOUN
ap-6083	232	7	also	also	ADV
ap-6083	232	8	forms	form	VERB
ap-6083	232	9	at	at	ADP
ap-6083	232	10	the	the	DET
ap-6083	232	11	te	te	PROPN
ap-6083	232	12	,	,	PUNCT
ap-6083	232	13	emanating	emanate	VERB
ap-6083	232	14	at	at	ADP
ap-6083	232	15	an	an	DET
ap-6083	232	16	angle	angle	NOUN
ap-6083	232	17	of	of	ADP
ap-6083	232	18	−18	−18	PROPN
ap-6083	232	19	°	°	NUM
ap-6083	232	20	from	from	ADP
ap-6083	232	21	axial	axial	ADJ
ap-6083	232	22	direction	direction	NOUN
ap-6083	232	23	.	.	PUNCT
ap-6083	233	1	the	the	DET
ap-6083	233	2	blade	blade	NOUN
ap-6083	233	3	surface	surface	NOUN
ap-6083	233	4	pressure	pressure	NOUN
ap-6083	233	5	distribution	distribution	NOUN
ap-6083	233	6	is	be	AUX
ap-6083	233	7	quantified	quantify	VERB
ap-6083	233	8	in	in	ADP
ap-6083	233	9	fig	fig	NOUN
ap-6083	233	10	.	.	PUNCT
ap-6083	234	1	5	5	NUM
ap-6083	234	2	-	-	PUNCT
ap-6083	234	3	top	top	NOUN
ap-6083	234	4	in	in	ADP
ap-6083	234	5	terms	term	NOUN
ap-6083	234	6	of	of	ADP
ap-6083	234	7	a	a	DET
ap-6083	234	8	non	non	ADJ
ap-6083	234	9	-	-	ADJ
ap-6083	234	10	dimensional	dimensional	ADJ
ap-6083	234	11	pressure	pressure	NOUN
ap-6083	234	12	coefficient	coefficient	NOUN
ap-6083	234	13	cp	cp	PROPN
ap-6083	234	14	.	.	PUNCT
ap-6083	235	1	the	the	DET
ap-6083	235	2	plots	plot	NOUN
ap-6083	235	3	show	show	VERB
ap-6083	235	4	results	result	NOUN
ap-6083	235	5	of	of	ADP
ap-6083	235	6	computations	computation	NOUN
ap-6083	235	7	using	use	VERB
ap-6083	235	8	the	the	DET
ap-6083	235	9	set	set	NOUN
ap-6083	235	10	of	of	ADP
ap-6083	235	11	limiters	limiter	NOUN
ap-6083	235	12	described	describe	VERB
ap-6083	235	13	in	in	ADP
ap-6083	235	14	sec	sec	PROPN
ap-6083	235	15	.	.	PROPN
ap-6083	235	16	2.3	2.3	NUM
ap-6083	235	17	,	,	PUNCT
ap-6083	235	18	together	together	ADV
ap-6083	235	19	with	with	ADP
ap-6083	235	20	experimental	experimental	ADJ
ap-6083	235	21	data	datum	NOUN
ap-6083	235	22	from	from	ADP
ap-6083	235	23	[	[	X
ap-6083	235	24	41	41	NUM
ap-6083	235	25	]	]	PUNCT
ap-6083	235	26	for	for	ADP
ap-6083	235	27	validation	validation	NOUN
ap-6083	235	28	.	.	PUNCT
ap-6083	236	1	the	the	DET
ap-6083	236	2	first	first	ADJ
ap-6083	236	3	-	-	PUNCT
ap-6083	236	4	order	order	NOUN
ap-6083	236	5	method	method	NOUN
ap-6083	236	6	without	without	ADP
ap-6083	236	7	muscl	muscl	NOUN
ap-6083	236	8	-	-	PUNCT
ap-6083	236	9	type	type	NOUN
ap-6083	236	10	reconstruction	reconstruction	NOUN
ap-6083	236	11	underpredicts	underpredict	VERB
ap-6083	236	12	the	the	DET
ap-6083	236	13	flow	flow	NOUN
ap-6083	236	14	acceleration	acceleration	NOUN
ap-6083	236	15	in	in	ADP
ap-6083	236	16	the	the	DET
ap-6083	236	17	first	first	ADJ
ap-6083	236	18	30	30	NUM
ap-6083	236	19	%	%	NOUN
ap-6083	236	20	of	of	ADP
ap-6083	236	21	the	the	DET
ap-6083	236	22	suction	suction	NOUN
ap-6083	236	23	side	side	NOUN
ap-6083	236	24	(	(	PUNCT
ap-6083	236	25	ss	ss	NOUN
ap-6083	236	26	)	)	PUNCT
ap-6083	236	27	,	,	PUNCT
ap-6083	236	28	resulting	result	VERB
ap-6083	236	29	in	in	ADP
ap-6083	236	30	a	a	DET
ap-6083	236	31	cp	cp	NOUN
ap-6083	236	32	higher	high	ADJ
ap-6083	236	33	by	by	ADP
ap-6083	236	34	about	about	ADV
ap-6083	236	35	0.05	0.05	NUM
ap-6083	236	36	than	than	ADP
ap-6083	236	37	in	in	ADP
ap-6083	236	38	the	the	DET
ap-6083	236	39	other	other	ADJ
ap-6083	236	40	numerical	numerical	ADJ
ap-6083	236	41	cases	case	NOUN
ap-6083	236	42	.	.	PUNCT
ap-6083	237	1	moreover	moreover	ADV
ap-6083	237	2	,	,	PUNCT
ap-6083	237	3	it	it	PRON
ap-6083	237	4	fails	fail	VERB
ap-6083	237	5	to	to	PART
ap-6083	237	6	capture	capture	VERB
ap-6083	237	7	the	the	DET
ap-6083	237	8	local	local	ADJ
ap-6083	237	9	pressure	pressure	NOUN
ap-6083	237	10	minimum	minimum	NOUN
ap-6083	237	11	induced	induce	VERB
ap-6083	237	12	by	by	ADP
ap-6083	237	13	the	the	DET
ap-6083	237	14	impingement	impingement	NOUN
ap-6083	237	15	of	of	ADP
ap-6083	237	16	the	the	DET
ap-6083	237	17	right	right	NOUN
ap-6083	237	18	running	run	VERB
ap-6083	237	19	te	te	ADP
ap-6083	237	20	shockwave	shockwave	PROPN
ap-6083	237	21	at	at	ADP
ap-6083	237	22	55	55	NUM
ap-6083	237	23	%	%	NOUN
ap-6083	237	24	ss	ss	NOUN
ap-6083	237	25	.	.	PUNCT
ap-6083	238	1	this	this	DET
ap-6083	238	2	region	region	NOUN
ap-6083	238	3	also	also	ADV
ap-6083	238	4	highlights	highlight	VERB
ap-6083	238	5	the	the	DET
ap-6083	238	6	differences	difference	NOUN
ap-6083	238	7	between	between	ADP
ap-6083	238	8	the	the	DET
ap-6083	238	9	individual	individual	ADJ
ap-6083	238	10	muscl	muscl	ADJ
ap-6083	238	11	-	-	PUNCT
ap-6083	238	12	type	type	NOUN
ap-6083	238	13	reconstructions	reconstruction	NOUN
ap-6083	238	14	which	which	PRON
ap-6083	238	15	are	be	AUX
ap-6083	238	16	negligible	negligible	ADJ
ap-6083	238	17	elsewhere	elsewhere	ADV
ap-6083	238	18	on	on	ADP
ap-6083	238	19	the	the	DET
ap-6083	238	20	blade	blade	NOUN
ap-6083	238	21	.	.	PUNCT
ap-6083	239	1	although	although	SCONJ
ap-6083	239	2	the	the	DET
ap-6083	239	3	location	location	NOUN
ap-6083	239	4	of	of	ADP
ap-6083	239	5	the	the	DET
ap-6083	239	6	peak	peak	NOUN
ap-6083	239	7	is	be	AUX
ap-6083	239	8	captured	capture	VERB
ap-6083	239	9	141	141	NUM
ap-6083	239	10	marek	marek	PROPN
ap-6083	239	11	pátý	pátý	PROPN
ap-6083	239	12	,	,	PUNCT
ap-6083	239	13	jan	jan	PROPN
ap-6083	239	14	halama	halama	PROPN
ap-6083	239	15	acta	acta	PROPN
ap-6083	239	16	polytechnica	polytechnica	PROPN
ap-6083	239	17	consistently	consistently	ADV
ap-6083	239	18	,	,	PUNCT
ap-6083	239	19	its	its	PRON
ap-6083	239	20	magnitude	magnitude	NOUN
ap-6083	239	21	varies	vary	VERB
ap-6083	239	22	depending	depend	VERB
ap-6083	239	23	on	on	ADP
ap-6083	239	24	the	the	DET
ap-6083	239	25	limiter	limiter	NOUN
ap-6083	239	26	employed	employ	VERB
ap-6083	239	27	.	.	PUNCT
ap-6083	240	1	the	the	DET
ap-6083	240	2	sharpest	sharp	ADJ
ap-6083	240	3	resolution	resolution	NOUN
ap-6083	240	4	is	be	AUX
ap-6083	240	5	obtained	obtain	VERB
ap-6083	240	6	by	by	ADP
ap-6083	240	7	the	the	DET
ap-6083	240	8	limiter	limiter	NOUN
ap-6083	240	9	of	of	ADP
ap-6083	240	10	barth	barth	NOUN
ap-6083	240	11	&	&	CCONJ
ap-6083	240	12	jespersen	jespersen	PROPN
ap-6083	240	13	,	,	PUNCT
ap-6083	240	14	whereas	whereas	SCONJ
ap-6083	240	15	the	the	DET
ap-6083	240	16	u2	u2	NOUN
ap-6083	240	17	variation	variation	NOUN
ap-6083	240	18	of	of	ADP
ap-6083	240	19	the	the	DET
ap-6083	240	20	mlp	mlp	NOUN
ap-6083	240	21	method	method	NOUN
ap-6083	240	22	is	be	AUX
ap-6083	240	23	shown	show	VERB
ap-6083	240	24	to	to	PART
ap-6083	240	25	be	be	AUX
ap-6083	240	26	the	the	DET
ap-6083	240	27	most	most	ADV
ap-6083	240	28	dissipative	dissipative	NOUN
ap-6083	240	29	.	.	PUNCT
ap-6083	241	1	the	the	DET
ap-6083	241	2	other	other	ADJ
ap-6083	241	3	three	three	NUM
ap-6083	241	4	limiters	limiter	NOUN
ap-6083	241	5	capture	capture	VERB
ap-6083	241	6	the	the	DET
ap-6083	241	7	pressure	pressure	NOUN
ap-6083	241	8	jump	jump	VERB
ap-6083	241	9	with	with	ADP
ap-6083	241	10	similar	similar	ADJ
ap-6083	241	11	sharpness	sharpness	NOUN
ap-6083	241	12	,	,	PUNCT
ap-6083	241	13	although	although	SCONJ
ap-6083	241	14	with	with	ADP
ap-6083	241	15	an	an	DET
ap-6083	241	16	offset	offset	NOUN
ap-6083	241	17	in	in	ADP
ap-6083	241	18	the	the	DET
ap-6083	241	19	distributions	distribution	NOUN
ap-6083	241	20	.	.	PUNCT
ap-6083	242	1	the	the	DET
ap-6083	242	2	maximum	maximum	ADJ
ap-6083	242	3	discrepancy	discrepancy	NOUN
ap-6083	242	4	between	between	ADP
ap-6083	242	5	all	all	DET
ap-6083	242	6	limiters	limiter	NOUN
ap-6083	242	7	amounts	amount	VERB
ap-6083	242	8	to	to	ADP
ap-6083	242	9	∆cp	∆cp	NOUN
ap-6083	242	10	=	=	NOUN
ap-6083	242	11	0.02	0.02	NUM
ap-6083	242	12	,	,	PUNCT
ap-6083	242	13	while	while	SCONJ
ap-6083	242	14	the	the	DET
ap-6083	242	15	first	first	ADJ
ap-6083	242	16	-	-	PUNCT
ap-6083	242	17	order	order	NOUN
ap-6083	242	18	computation	computation	NOUN
ap-6083	242	19	differs	differ	VERB
ap-6083	242	20	by	by	ADP
ap-6083	242	21	up	up	ADP
ap-6083	242	22	to	to	ADP
ap-6083	242	23	∆cp	∆cp	NOUN
ap-6083	242	24	=	=	NOUN
ap-6083	242	25	0.08	0.08	NUM
ap-6083	242	26	.	.	PUNCT
ap-6083	243	1	the	the	DET
ap-6083	243	2	results	result	NOUN
ap-6083	243	3	of	of	ADP
ap-6083	243	4	computations	computation	NOUN
ap-6083	243	5	employing	employ	VERB
ap-6083	243	6	the	the	DET
ap-6083	243	7	muscltype	muscltype	NOUN
ap-6083	243	8	reconstruction	reconstruction	NOUN
ap-6083	243	9	agree	agree	VERB
ap-6083	243	10	closely	closely	ADV
ap-6083	243	11	with	with	ADP
ap-6083	243	12	the	the	DET
ap-6083	243	13	experimental	experimental	ADJ
ap-6083	243	14	data	datum	NOUN
ap-6083	243	15	over	over	ADP
ap-6083	243	16	the	the	DET
ap-6083	243	17	whole	whole	ADJ
ap-6083	243	18	pressure	pressure	NOUN
ap-6083	243	19	side	side	NOUN
ap-6083	243	20	(	(	PUNCT
ap-6083	243	21	ps	ps	NOUN
ap-6083	243	22	)	)	PUNCT
ap-6083	243	23	and	and	CCONJ
ap-6083	243	24	on	on	ADP
ap-6083	243	25	the	the	DET
ap-6083	243	26	section	section	NOUN
ap-6083	243	27	of	of	ADP
ap-6083	243	28	ss	ss	PRON
ap-6083	243	29	upstream	upstream	NOUN
ap-6083	243	30	of	of	ADP
ap-6083	243	31	the	the	DET
ap-6083	243	32	shockwave	shockwave	PROPN
ap-6083	243	33	impingement	impingement	NOUN
ap-6083	243	34	.	.	PUNCT
ap-6083	244	1	the	the	DET
ap-6083	244	2	location	location	NOUN
ap-6083	244	3	of	of	ADP
ap-6083	244	4	the	the	DET
ap-6083	244	5	pressure	pressure	NOUN
ap-6083	244	6	minimum	minimum	NOUN
ap-6083	244	7	induced	induce	VERB
ap-6083	244	8	by	by	ADP
ap-6083	244	9	the	the	DET
ap-6083	244	10	shock	shock	NOUN
ap-6083	244	11	matches	match	VERB
ap-6083	244	12	the	the	DET
ap-6083	244	13	experimental	experimental	ADJ
ap-6083	244	14	data	datum	NOUN
ap-6083	244	15	well	well	ADV
ap-6083	244	16	,	,	PUNCT
ap-6083	244	17	but	but	CCONJ
ap-6083	244	18	its	its	PRON
ap-6083	244	19	magnitude	magnitude	NOUN
ap-6083	244	20	is	be	AUX
ap-6083	244	21	underpredicted	underpredicte	VERB
ap-6083	244	22	by	by	ADP
ap-6083	244	23	about	about	ADP
ap-6083	244	24	∆cp	∆cp	NOUN
ap-6083	245	1	=	=	SYM
ap-6083	245	2	0.11	0.11	NUM
ap-6083	245	3	.	.	PUNCT
ap-6083	246	1	this	this	DET
ap-6083	246	2	discrepancy	discrepancy	NOUN
ap-6083	246	3	is	be	AUX
ap-6083	246	4	accounted	account	VERB
ap-6083	246	5	for	for	ADP
ap-6083	246	6	by	by	ADP
ap-6083	246	7	the	the	DET
ap-6083	246	8	viscous	viscous	ADJ
ap-6083	246	9	phenomena	phenomena	NOUN
ap-6083	246	10	in	in	ADP
ap-6083	246	11	the	the	DET
ap-6083	246	12	shockwave	shockwave	PROPN
ap-6083	246	13	-	-	PUNCT
ap-6083	246	14	boundary	boundary	ADJ
ap-6083	246	15	layer	layer	NOUN
ap-6083	246	16	interaction	interaction	NOUN
ap-6083	246	17	and	and	CCONJ
ap-6083	246	18	to	to	ADP
ap-6083	246	19	the	the	DET
ap-6083	246	20	three	three	NUM
ap-6083	246	21	-	-	PUNCT
ap-6083	246	22	dimensional	dimensional	ADJ
ap-6083	246	23	effects	effect	NOUN
ap-6083	246	24	,	,	PUNCT
ap-6083	246	25	neither	neither	PRON
ap-6083	246	26	of	of	ADP
ap-6083	246	27	which	which	PRON
ap-6083	246	28	are	be	AUX
ap-6083	246	29	modelled	model	VERB
ap-6083	246	30	in	in	ADP
ap-6083	246	31	the	the	DET
ap-6083	246	32	present	present	ADJ
ap-6083	246	33	inviscid	inviscid	ADJ
ap-6083	246	34	planar	planar	ADJ
ap-6083	246	35	computations	computation	NOUN
ap-6083	246	36	.	.	PUNCT
ap-6083	247	1	the	the	DET
ap-6083	247	2	impact	impact	NOUN
ap-6083	247	3	of	of	ADP
ap-6083	247	4	both	both	DET
ap-6083	247	5	viscosity	viscosity	NOUN
ap-6083	247	6	and	and	CCONJ
ap-6083	247	7	three	three	NUM
ap-6083	247	8	-	-	PUNCT
ap-6083	247	9	dimensionality	dimensionality	NOUN
ap-6083	247	10	on	on	ADP
ap-6083	247	11	the	the	DET
ap-6083	247	12	pressure	pressure	NOUN
ap-6083	247	13	distribution	distribution	NOUN
ap-6083	247	14	in	in	ADP
ap-6083	247	15	this	this	DET
ap-6083	247	16	region	region	NOUN
ap-6083	247	17	was	be	AUX
ap-6083	247	18	demonstrated	demonstrate	VERB
ap-6083	247	19	by	by	ADP
ap-6083	247	20	mcbean	mcbean	PROPN
ap-6083	247	21	et	et	PROPN
ap-6083	247	22	al	al	PROPN
ap-6083	247	23	.	.	PUNCT
ap-6083	248	1	[	[	X
ap-6083	248	2	3	3	NUM
ap-6083	248	3	]	]	PUNCT
ap-6083	248	4	,	,	PUNCT
ap-6083	248	5	although	although	SCONJ
ap-6083	248	6	it	it	PRON
ap-6083	248	7	has	have	VERB
ap-6083	248	8	to	to	PART
ap-6083	248	9	be	be	AUX
ap-6083	248	10	noted	note	VERB
ap-6083	248	11	that	that	SCONJ
ap-6083	248	12	their	their	PRON
ap-6083	248	13	computations	computation	NOUN
ap-6083	248	14	failed	fail	VERB
ap-6083	248	15	to	to	PART
ap-6083	248	16	capture	capture	VERB
ap-6083	248	17	the	the	DET
ap-6083	248	18	shock	shock	NOUN
ap-6083	248	19	location	location	NOUN
ap-6083	248	20	accurately	accurately	ADV
ap-6083	248	21	in	in	ADP
ap-6083	248	22	either	either	DET
ap-6083	248	23	case	case	NOUN
ap-6083	248	24	.	.	PUNCT
ap-6083	249	1	together	together	ADV
ap-6083	249	2	with	with	ADP
ap-6083	249	3	the	the	DET
ap-6083	249	4	sharpness	sharpness	NOUN
ap-6083	249	5	of	of	ADP
ap-6083	249	6	extrema	extrema	ADJ
ap-6083	249	7	resolution	resolution	NOUN
ap-6083	249	8	,	,	PUNCT
ap-6083	249	9	an	an	DET
ap-6083	249	10	equally	equally	ADV
ap-6083	249	11	important	important	ADJ
ap-6083	249	12	property	property	NOUN
ap-6083	249	13	of	of	ADP
ap-6083	249	14	a	a	DET
ap-6083	249	15	limiter	limiter	NOUN
ap-6083	249	16	is	be	AUX
ap-6083	249	17	its	its	PRON
ap-6083	249	18	convergence	convergence	NOUN
ap-6083	249	19	behaviour	behaviour	NOUN
ap-6083	249	20	.	.	PUNCT
ap-6083	250	1	the	the	DET
ap-6083	250	2	bottom	bottom	ADJ
ap-6083	250	3	part	part	NOUN
ap-6083	250	4	of	of	ADP
ap-6083	250	5	fig	fig	NOUN
ap-6083	250	6	.	.	PUNCT
ap-6083	251	1	5	5	NUM
ap-6083	251	2	displays	display	VERB
ap-6083	251	3	the	the	DET
ap-6083	251	4	evolution	evolution	NOUN
ap-6083	251	5	of	of	ADP
ap-6083	251	6	density	density	NOUN
ap-6083	251	7	residuals	residual	NOUN
ap-6083	251	8	in	in	ADP
ap-6083	251	9	l2	l2	NOUN
ap-6083	251	10	-	-	PUNCT
ap-6083	251	11	norm	norm	NOUN
ap-6083	251	12	.	.	PUNCT
ap-6083	252	1	the	the	DET
ap-6083	252	2	convergence	convergence	NOUN
ap-6083	252	3	of	of	ADP
ap-6083	252	4	the	the	DET
ap-6083	252	5	mlp	mlp	NOUN
ap-6083	252	6	-	-	PUNCT
ap-6083	252	7	u1	u1	PROPN
ap-6083	252	8	and	and	CCONJ
ap-6083	252	9	barth	barth	NOUN
ap-6083	252	10	&	&	CCONJ
ap-6083	252	11	jespersen	jespersen	PROPN
ap-6083	252	12	methods	method	NOUN
ap-6083	252	13	stops	stop	VERB
ap-6083	252	14	after	after	ADP
ap-6083	252	15	5×	5×	PROPN
ap-6083	252	16	104	104	NUM
ap-6083	252	17	iterations	iteration	NOUN
ap-6083	252	18	and	and	CCONJ
ap-6083	252	19	the	the	DET
ap-6083	252	20	residuals	residual	NOUN
ap-6083	252	21	begin	begin	VERB
ap-6083	252	22	to	to	PART
ap-6083	252	23	rise	rise	VERB
ap-6083	252	24	again	again	ADV
ap-6083	252	25	nearly	nearly	ADV
ap-6083	252	26	to	to	ADP
ap-6083	252	27	their	their	PRON
ap-6083	252	28	original	original	ADJ
ap-6083	252	29	level	level	NOUN
ap-6083	252	30	.	.	PUNCT
ap-6083	253	1	the	the	DET
ap-6083	253	2	projected	project	VERB
ap-6083	253	3	-	-	PUNCT
ap-6083	253	4	lcd	lcd	NOUN
ap-6083	253	5	and	and	CCONJ
ap-6083	253	6	mlp	mlp	NOUN
ap-6083	253	7	-	-	PUNCT
ap-6083	253	8	u2	u2	PROPN
ap-6083	253	9	limiters	limiter	NOUN
ap-6083	253	10	perform	perform	VERB
ap-6083	253	11	more	more	ADV
ap-6083	253	12	favourably	favourably	ADV
ap-6083	253	13	and	and	CCONJ
ap-6083	253	14	the	the	DET
ap-6083	253	15	convergence	convergence	NOUN
ap-6083	253	16	of	of	ADP
ap-6083	253	17	the	the	DET
ap-6083	253	18	latter	latter	ADJ
ap-6083	253	19	could	could	AUX
ap-6083	253	20	be	be	AUX
ap-6083	253	21	further	far	ADV
ap-6083	253	22	improved	improve	VERB
ap-6083	253	23	by	by	ADP
ap-6083	253	24	raising	raise	VERB
ap-6083	253	25	the	the	DET
ap-6083	253	26	constant	constant	ADJ
ap-6083	253	27	k	k	NOUN
ap-6083	253	28	,	,	PUNCT
ap-6083	253	29	but	but	CCONJ
ap-6083	253	30	this	this	PRON
ap-6083	253	31	would	would	AUX
ap-6083	253	32	increase	increase	VERB
ap-6083	253	33	the	the	DET
ap-6083	253	34	its	its	PRON
ap-6083	253	35	dissipativeness	dissipativeness	NOUN
ap-6083	253	36	,	,	PUNCT
ap-6083	253	37	already	already	ADV
ap-6083	253	38	the	the	DET
ap-6083	253	39	highest	high	ADJ
ap-6083	253	40	of	of	ADP
ap-6083	253	41	all	all	DET
ap-6083	253	42	tested	test	VERB
ap-6083	253	43	limiters	limiter	NOUN
ap-6083	253	44	.	.	PUNCT
ap-6083	254	1	the	the	DET
ap-6083	254	2	best	good	ADJ
ap-6083	254	3	convergence	convergence	NOUN
ap-6083	254	4	was	be	AUX
ap-6083	254	5	obtained	obtain	VERB
ap-6083	254	6	by	by	ADP
ap-6083	254	7	the	the	DET
ap-6083	254	8	delis	deli	NOUN
ap-6083	254	9	and	and	CCONJ
ap-6083	254	10	nikolos	nikolos	ADJ
ap-6083	254	11	limiter	limiter	NOUN
ap-6083	254	12	,	,	PUNCT
ap-6083	254	13	although	although	SCONJ
ap-6083	254	14	the	the	DET
ap-6083	254	15	overall	overall	ADJ
ap-6083	254	16	drop	drop	NOUN
ap-6083	254	17	of	of	ADP
ap-6083	254	18	residuals	residual	NOUN
ap-6083	254	19	of	of	ADP
ap-6083	254	20	three	three	NUM
ap-6083	254	21	orders	order	NOUN
ap-6083	254	22	of	of	ADP
ap-6083	254	23	magnitude	magnitude	NOUN
ap-6083	254	24	is	be	AUX
ap-6083	254	25	still	still	ADV
ap-6083	254	26	not	not	PART
ap-6083	254	27	comparable	comparable	ADJ
ap-6083	254	28	with	with	ADP
ap-6083	254	29	the	the	DET
ap-6083	254	30	fast	fast	ADJ
ap-6083	254	31	convergence	convergence	NOUN
ap-6083	254	32	of	of	ADP
ap-6083	254	33	the	the	DET
ap-6083	254	34	first	first	ADJ
ap-6083	254	35	-	-	PUNCT
ap-6083	254	36	order	order	NOUN
ap-6083	254	37	computation	computation	NOUN
ap-6083	254	38	.	.	PUNCT
ap-6083	255	1	nevertheless	nevertheless	ADV
ap-6083	255	2	,	,	PUNCT
ap-6083	255	3	this	this	DET
ap-6083	255	4	limiter	limiter	NOUN
ap-6083	255	5	proves	prove	VERB
ap-6083	255	6	to	to	PART
ap-6083	255	7	offer	offer	VERB
ap-6083	255	8	the	the	DET
ap-6083	255	9	most	most	ADV
ap-6083	255	10	favourable	favourable	ADJ
ap-6083	255	11	combination	combination	NOUN
ap-6083	255	12	of	of	ADP
ap-6083	255	13	extrema	extrema	NOUN
ap-6083	255	14	resolution	resolution	NOUN
ap-6083	255	15	and	and	CCONJ
ap-6083	255	16	convergence	convergence	NOUN
ap-6083	255	17	behaviour	behaviour	NOUN
ap-6083	255	18	and	and	CCONJ
ap-6083	255	19	it	it	PRON
ap-6083	255	20	is	be	AUX
ap-6083	255	21	employed	employ	VERB
ap-6083	255	22	for	for	ADP
ap-6083	255	23	the	the	DET
ap-6083	255	24	computations	computation	NOUN
ap-6083	255	25	presented	present	VERB
ap-6083	255	26	further	far	ADV
ap-6083	255	27	.	.	PUNCT
ap-6083	256	1	unsteady	unsteady	ADJ
ap-6083	256	2	results	result	NOUN
ap-6083	256	3	.	.	PUNCT
ap-6083	257	1	the	the	DET
ap-6083	257	2	blades	blade	NOUN
ap-6083	257	3	are	be	AUX
ap-6083	257	4	subject	subject	ADJ
ap-6083	257	5	to	to	ADP
ap-6083	257	6	harmonic	harmonic	ADJ
ap-6083	257	7	vibrations	vibration	NOUN
ap-6083	257	8	in	in	ADP
ap-6083	257	9	translatory	translatory	ADJ
ap-6083	257	10	mode	mode	NOUN
ap-6083	257	11	as	as	SCONJ
ap-6083	257	12	described	describe	VERB
ap-6083	257	13	in	in	ADP
ap-6083	257	14	the	the	DET
ap-6083	257	15	sec	sec	PROPN
ap-6083	257	16	.	.	PROPN
ap-6083	257	17	3.1	3.1	NUM
ap-6083	257	18	.	.	PUNCT
ap-6083	258	1	fluctuations	fluctuation	NOUN
ap-6083	258	2	in	in	ADP
ap-6083	258	3	blade	blade	NOUN
ap-6083	258	4	-	-	PUNCT
ap-6083	258	5	surface	surface	NOUN
ap-6083	258	6	pressure	pressure	NOUN
ap-6083	258	7	are	be	AUX
ap-6083	258	8	analysed	analyse	VERB
ap-6083	258	9	by	by	ADP
ap-6083	258	10	performing	perform	VERB
ap-6083	258	11	a	a	DET
ap-6083	258	12	fast	fast	ADJ
ap-6083	258	13	-	-	PUNCT
ap-6083	258	14	fourier	fourier	NOUN
ap-6083	258	15	transform	transform	NOUN
ap-6083	258	16	in	in	ADP
ap-6083	258	17	time	time	NOUN
ap-6083	258	18	at	at	ADP
ap-6083	258	19	each	each	DET
ap-6083	258	20	point	point	NOUN
ap-6083	258	21	and	and	CCONJ
ap-6083	258	22	the	the	DET
ap-6083	258	23	magnitude	magnitude	NOUN
ap-6083	258	24	and	and	CCONJ
ap-6083	258	25	phase	phase	NOUN
ap-6083	258	26	of	of	ADP
ap-6083	258	27	the	the	DET
ap-6083	258	28	first	first	ADJ
ap-6083	258	29	harmonic	harmonic	NOUN
ap-6083	258	30	are	be	AUX
ap-6083	258	31	displayed	display	VERB
ap-6083	258	32	in	in	ADP
ap-6083	258	33	the	the	DET
ap-6083	258	34	top	top	ADJ
ap-6083	258	35	and	and	CCONJ
ap-6083	258	36	lower	low	ADJ
ap-6083	258	37	plots	plot	NOUN
ap-6083	258	38	of	of	ADP
ap-6083	258	39	fig	fig	NOUN
ap-6083	258	40	.	.	PUNCT
ap-6083	258	41	6	6	NUM
ap-6083	258	42	respectively	respectively	ADV
ap-6083	258	43	for	for	ADP
ap-6083	258	44	the	the	DET
ap-6083	258	45	ibpa	ibpa	NOUN
ap-6083	258	46	180	180	NUM
ap-6083	258	47	°	°	PROPN
ap-6083	258	48	.	.	PUNCT
ap-6083	259	1	the	the	DET
ap-6083	259	2	first	first	ADJ
ap-6083	259	3	pressure	pressure	NOUN
ap-6083	259	4	harmonic	harmonic	NOUN
ap-6083	259	5	is	be	AUX
ap-6083	259	6	typically	typically	ADV
ap-6083	259	7	the	the	DET
ap-6083	259	8	largest	large	ADJ
ap-6083	259	9	[	[	X
ap-6083	259	10	3	3	NUM
ap-6083	259	11	]	]	PUNCT
ap-6083	259	12	and	and	CCONJ
ap-6083	259	13	thus	thus	ADV
ap-6083	259	14	most	most	ADV
ap-6083	259	15	essential	essential	ADJ
ap-6083	259	16	for	for	ADP
ap-6083	259	17	the	the	DET
ap-6083	259	18	determination	determination	NOUN
ap-6083	259	19	of	of	ADP
ap-6083	259	20	aerodynamic	aerodynamic	ADJ
ap-6083	259	21	damping	damping	NOUN
ap-6083	259	22	.	.	PUNCT
ap-6083	260	1	the	the	DET
ap-6083	260	2	pressure	pressure	NOUN
ap-6083	260	3	-	-	PUNCT
ap-6083	260	4	side	side	NOUN
ap-6083	260	5	distribution	distribution	NOUN
ap-6083	260	6	matches	match	NOUN
ap-6083	260	7	well	well	ADV
ap-6083	260	8	the	the	DET
ap-6083	260	9	experiments	experiment	NOUN
ap-6083	260	10	in	in	ADP
ap-6083	260	11	terms	term	NOUN
ap-6083	260	12	of	of	ADP
ap-6083	260	13	both	both	PRON
ap-6083	260	14	phase	phase	NOUN
ap-6083	260	15	and	and	CCONJ
ap-6083	260	16	magnitude	magnitude	NOUN
ap-6083	260	17	.	.	PUNCT
ap-6083	261	1	satisfactory	satisfactory	ADJ
ap-6083	261	2	agreement	agreement	NOUN
ap-6083	261	3	is	be	AUX
ap-6083	261	4	achieved	achieve	VERB
ap-6083	261	5	also	also	ADV
ap-6083	261	6	in	in	ADP
ap-6083	261	7	the	the	DET
ap-6083	261	8	front	front	ADJ
ap-6083	261	9	50	50	NUM
ap-6083	261	10	%	%	NOUN
ap-6083	261	11	of	of	ADP
ap-6083	261	12	the	the	DET
ap-6083	261	13	suction	suction	NOUN
ap-6083	261	14	side	side	NOUN
ap-6083	261	15	,	,	PUNCT
ap-6083	261	16	although	although	SCONJ
ap-6083	261	17	figure	figure	NOUN
ap-6083	261	18	6	6	NUM
ap-6083	261	19	.	.	NOUN
ap-6083	261	20	amplitude	amplitude	NOUN
ap-6083	261	21	(	(	PUNCT
ap-6083	261	22	top	top	ADJ
ap-6083	261	23	)	)	PUNCT
ap-6083	261	24	and	and	CCONJ
ap-6083	261	25	phase	phase	NOUN
ap-6083	261	26	(	(	PUNCT
ap-6083	261	27	bottom	bottom	NOUN
ap-6083	261	28	)	)	PUNCT
ap-6083	261	29	of	of	ADP
ap-6083	261	30	the	the	DET
ap-6083	261	31	stcf4	stcf4	PROPN
ap-6083	261	32	first	first	ADJ
ap-6083	261	33	harmonic	harmonic	ADJ
ap-6083	261	34	pressure	pressure	NOUN
ap-6083	261	35	coefficient	coefficient	NOUN
ap-6083	261	36	.	.	PUNCT
ap-6083	262	1	with	with	ADP
ap-6083	262	2	a	a	DET
ap-6083	262	3	higher	high	ADJ
ap-6083	262	4	discrepancy	discrepancy	NOUN
ap-6083	262	5	than	than	ADP
ap-6083	262	6	on	on	ADP
ap-6083	262	7	the	the	DET
ap-6083	262	8	ps	ps	NOUN
ap-6083	262	9	.	.	PUNCT
ap-6083	263	1	the	the	DET
ap-6083	263	2	failure	failure	NOUN
ap-6083	263	3	to	to	PART
ap-6083	263	4	capture	capture	VERB
ap-6083	263	5	viscous	viscous	ADJ
ap-6083	263	6	and	and	CCONJ
ap-6083	263	7	three	three	NUM
ap-6083	263	8	-	-	PUNCT
ap-6083	263	9	dimensional	dimensional	ADJ
ap-6083	263	10	effects	effect	NOUN
ap-6083	263	11	,	,	PUNCT
ap-6083	263	12	discussed	discuss	VERB
ap-6083	263	13	already	already	ADV
ap-6083	263	14	for	for	ADP
ap-6083	263	15	the	the	DET
ap-6083	263	16	steady	steady	ADJ
ap-6083	263	17	results	result	NOUN
ap-6083	263	18	,	,	PUNCT
ap-6083	263	19	influences	influence	VERB
ap-6083	263	20	the	the	DET
ap-6083	263	21	pressure	pressure	NOUN
ap-6083	263	22	oscillations	oscillation	NOUN
ap-6083	263	23	downstream	downstream	ADV
ap-6083	263	24	of	of	ADP
ap-6083	263	25	the	the	DET
ap-6083	263	26	shockwave	shockwave	PROPN
ap-6083	263	27	impingement	impingement	NOUN
ap-6083	263	28	at	at	ADP
ap-6083	263	29	the	the	DET
ap-6083	263	30	55	55	NUM
ap-6083	263	31	%	%	NOUN
ap-6083	263	32	chord	chord	NOUN
ap-6083	263	33	.	.	PUNCT
ap-6083	264	1	the	the	DET
ap-6083	264	2	peak	peak	NOUN
ap-6083	264	3	at	at	ADP
ap-6083	264	4	60	60	NUM
ap-6083	264	5	%	%	NOUN
ap-6083	264	6	chord	chord	NOUN
ap-6083	264	7	is	be	AUX
ap-6083	264	8	underpredicted	underpredicte	VERB
ap-6083	264	9	by	by	ADP
ap-6083	264	10	∆|cp(1)|	∆|cp(1)|	NOUN
ap-6083	264	11	=	=	PUNCT
ap-6083	264	12	0.6	0.6	NUM
ap-6083	264	13	,	,	PUNCT
ap-6083	264	14	but	but	CCONJ
ap-6083	264	15	more	more	ADV
ap-6083	264	16	importantly	importantly	ADV
ap-6083	264	17	,	,	PUNCT
ap-6083	264	18	the	the	DET
ap-6083	264	19	phase	phase	NOUN
ap-6083	264	20	at	at	ADP
ap-6083	264	21	the	the	DET
ap-6083	264	22	86	86	NUM
ap-6083	264	23	%	%	NOUN
ap-6083	264	24	chord	chord	NOUN
ap-6083	264	25	differs	differ	VERB
ap-6083	264	26	by	by	ADP
ap-6083	264	27	160	160	NUM
ap-6083	264	28	°	°	NOUN
ap-6083	264	29	.	.	PUNCT
ap-6083	265	1	the	the	DET
ap-6083	265	2	pressure	pressure	NOUN
ap-6083	265	3	fluctuations	fluctuation	NOUN
ap-6083	265	4	in	in	ADP
ap-6083	265	5	the	the	DET
ap-6083	265	6	aft	aft	ADJ
ap-6083	265	7	part	part	NOUN
ap-6083	265	8	of	of	ADP
ap-6083	265	9	the	the	DET
ap-6083	265	10	blade	blade	NOUN
ap-6083	265	11	ss	ss	NOUN
ap-6083	265	12	are	be	AUX
ap-6083	265	13	thus	thus	ADV
ap-6083	265	14	captured	capture	VERB
ap-6083	265	15	with	with	ADP
ap-6083	265	16	a	a	DET
ap-6083	265	17	nearly	nearly	ADV
ap-6083	265	18	opposite	opposite	ADJ
ap-6083	265	19	phase	phase	NOUN
ap-6083	265	20	,	,	PUNCT
ap-6083	265	21	meaning	mean	VERB
ap-6083	265	22	that	that	SCONJ
ap-6083	265	23	the	the	DET
ap-6083	265	24	contribution	contribution	NOUN
ap-6083	265	25	to	to	ADP
ap-6083	265	26	the	the	DET
ap-6083	265	27	integral	integral	ADJ
ap-6083	265	28	aerodynamic	aerodynamic	NOUN
ap-6083	265	29	damping	damping	NOUN
ap-6083	265	30	has	have	VERB
ap-6083	265	31	an	an	DET
ap-6083	265	32	opposite	opposite	ADJ
ap-6083	265	33	sign	sign	NOUN
ap-6083	265	34	.	.	PUNCT
ap-6083	266	1	the	the	DET
ap-6083	266	2	work	work	NOUN
ap-6083	266	3	of	of	ADP
ap-6083	266	4	aerodynamic	aerodynamic	ADJ
ap-6083	266	5	forces	force	NOUN
ap-6083	266	6	during	during	ADP
ap-6083	266	7	one	one	NUM
ap-6083	266	8	cycle	cycle	NOUN
ap-6083	266	9	of	of	ADP
ap-6083	266	10	oscillation	oscillation	NOUN
ap-6083	266	11	is	be	AUX
ap-6083	266	12	characterised	characterise	VERB
ap-6083	266	13	by	by	ADP
ap-6083	266	14	the	the	DET
ap-6083	266	15	aerodynamic	aerodynamic	ADJ
ap-6083	266	16	damping	damp	VERB
ap-6083	266	17	coefficient	coefficient	NOUN
ap-6083	266	18	[	[	X
ap-6083	266	19	44	44	NUM
ap-6083	266	20	]	]	PUNCT
ap-6083	266	21	.	.	PUNCT
ap-6083	267	1	we	we	PRON
ap-6083	267	2	use	use	VERB
ap-6083	267	3	the	the	DET
ap-6083	267	4	difference	difference	NOUN
ap-6083	267	5	between	between	ADP
ap-6083	267	6	the	the	DET
ap-6083	267	7	inlet	inlet	ADJ
ap-6083	267	8	total	total	ADJ
ap-6083	267	9	pressure	pressure	NOUN
ap-6083	267	10	p01	p01	NOUN
ap-6083	267	11	and	and	CCONJ
ap-6083	267	12	the	the	DET
ap-6083	267	13	outlet	outlet	NOUN
ap-6083	267	14	static	static	ADJ
ap-6083	267	15	pressure	pressure	NOUN
ap-6083	267	16	ps2	ps2	PROPN
ap-6083	267	17	for	for	ADP
ap-6083	267	18	non	non	ADJ
ap-6083	267	19	-	-	NOUN
ap-6083	267	20	dimensionalization	dimensionalization	NOUN
ap-6083	267	21	in	in	ADP
ap-6083	267	22	order	order	NOUN
ap-6083	267	23	to	to	PART
ap-6083	267	24	keep	keep	VERB
ap-6083	267	25	consistency	consistency	NOUN
ap-6083	267	26	with	with	ADP
ap-6083	267	27	the	the	DET
ap-6083	267	28	definition	definition	NOUN
ap-6083	267	29	of	of	ADP
ap-6083	267	30	the	the	DET
ap-6083	267	31	pressure	pressure	NOUN
ap-6083	267	32	coefficient	coefficient	NOUN
ap-6083	267	33	cp	cp	NOUN
ap-6083	267	34	:	:	PUNCT
ap-6083	267	35	ξ	ξ	X
ap-6083	267	36	=	=	SYM
ap-6083	267	37	−waero	−waero	NOUN
ap-6083	267	38	πbh2(p01	πbh2(p01	PROPN
ap-6083	267	39	−	−	PROPN
ap-6083	267	40	ps2	ps2	NOUN
ap-6083	267	41	)	)	PUNCT
ap-6083	267	42	(	(	PUNCT
ap-6083	267	43	18	18	NUM
ap-6083	267	44	)	)	PUNCT
ap-6083	267	45	142	142	NUM
ap-6083	267	46	vol	vol	NOUN
ap-6083	267	47	.	.	PUNCT
ap-6083	268	1	61	61	NUM
ap-6083	268	2	special	special	ADJ
ap-6083	268	3	issue/2021	issue/2021	NOUN
ap-6083	268	4	numerical	numerical	PROPN
ap-6083	268	5	flutter	flutter	PROPN
ap-6083	268	6	prediction	prediction	NOUN
ap-6083	268	7	figure	figure	NOUN
ap-6083	268	8	7	7	NUM
ap-6083	268	9	.	.	PUNCT
ap-6083	268	10	stcf4	stcf4	PROPN
ap-6083	268	11	cascade	cascade	NOUN
ap-6083	268	12	global	global	ADJ
ap-6083	268	13	damping	damp	VERB
ap-6083	268	14	coefficient	coefficient	NOUN
ap-6083	268	15	.	.	PUNCT
ap-6083	269	1	here	here	ADV
ap-6083	269	2	b	b	X
ap-6083	269	3	is	be	AUX
ap-6083	269	4	the	the	DET
ap-6083	269	5	blade	blade	NOUN
ap-6083	269	6	span	span	NOUN
ap-6083	269	7	and	and	CCONJ
ap-6083	269	8	h	h	NOUN
ap-6083	269	9	is	be	AUX
ap-6083	269	10	the	the	DET
ap-6083	269	11	maximum	maximum	ADJ
ap-6083	269	12	displacement	displacement	NOUN
ap-6083	269	13	of	of	ADP
ap-6083	269	14	all	all	DET
ap-6083	269	15	points	point	NOUN
ap-6083	269	16	on	on	ADP
ap-6083	269	17	the	the	DET
ap-6083	269	18	blade	blade	NOUN
ap-6083	269	19	surface	surface	NOUN
ap-6083	269	20	during	during	ADP
ap-6083	269	21	the	the	DET
ap-6083	269	22	oscillation	oscillation	NOUN
ap-6083	269	23	cycle	cycle	NOUN
ap-6083	269	24	.	.	PUNCT
ap-6083	270	1	a	a	DET
ap-6083	270	2	positive	positive	ADJ
ap-6083	270	3	value	value	NOUN
ap-6083	270	4	of	of	ADP
ap-6083	270	5	ξ	ξ	PROPN
ap-6083	270	6	indicates	indicate	VERB
ap-6083	270	7	a	a	DET
ap-6083	270	8	stable	stable	ADJ
ap-6083	270	9	flutter	flutter	NOUN
ap-6083	270	10	behaviour	behaviour	NOUN
ap-6083	270	11	.	.	PUNCT
ap-6083	271	1	the	the	DET
ap-6083	271	2	aerodynamic	aerodynamic	ADJ
ap-6083	271	3	damping	damp	VERB
ap-6083	271	4	coefficient	coefficient	NOUN
ap-6083	271	5	is	be	AUX
ap-6083	271	6	plotted	plot	VERB
ap-6083	271	7	in	in	ADP
ap-6083	271	8	fig	fig	NOUN
ap-6083	271	9	.	.	PUNCT
ap-6083	272	1	7	7	NUM
ap-6083	273	1	for	for	ADP
ap-6083	273	2	computations	computation	NOUN
ap-6083	273	3	with	with	ADP
ap-6083	273	4	ibpas	ibpas	NOUN
ap-6083	273	5	−90	−90	PROPN
ap-6083	273	6	°	°	PROPN
ap-6083	273	7	,	,	PUNCT
ap-6083	273	8	0	0	NUM
ap-6083	273	9	°	°	NUM
ap-6083	273	10	,	,	PUNCT
ap-6083	273	11	90	90	NUM
ap-6083	273	12	°	°	NUM
ap-6083	273	13	and	and	CCONJ
ap-6083	273	14	180	180	NUM
ap-6083	273	15	°	°	NOUN
ap-6083	273	16	.	.	PUNCT
ap-6083	274	1	the	the	DET
ap-6083	274	2	plot	plot	NOUN
ap-6083	274	3	also	also	ADV
ap-6083	274	4	includes	include	VERB
ap-6083	274	5	experimental	experimental	ADJ
ap-6083	274	6	results	result	NOUN
ap-6083	274	7	for	for	ADP
ap-6083	274	8	the	the	DET
ap-6083	274	9	whole	whole	ADJ
ap-6083	274	10	ibpa	ibpa	NOUN
ap-6083	274	11	range	range	VERB
ap-6083	274	12	with	with	ADP
ap-6083	274	13	a	a	DET
ap-6083	274	14	discretization	discretization	NOUN
ap-6083	274	15	of	of	ADP
ap-6083	274	16	18	18	NUM
ap-6083	274	17	°	°	NOUN
ap-6083	274	18	,	,	PUNCT
ap-6083	274	19	except	except	SCONJ
ap-6083	274	20	for	for	ADP
ap-6083	274	21	the	the	DET
ap-6083	274	22	value	value	NOUN
ap-6083	274	23	at	at	ADP
ap-6083	274	24	0	0	NUM
ap-6083	274	25	°	°	NUM
ap-6083	274	26	,	,	PUNCT
ap-6083	274	27	unavailable	unavailable	ADJ
ap-6083	274	28	in	in	ADP
ap-6083	274	29	the	the	DET
ap-6083	274	30	measurements	measurement	NOUN
ap-6083	274	31	[	[	X
ap-6083	274	32	41	41	NUM
ap-6083	274	33	]	]	PUNCT
ap-6083	274	34	.	.	PUNCT
ap-6083	275	1	the	the	DET
ap-6083	275	2	sign	sign	NOUN
ap-6083	275	3	-	-	PUNCT
ap-6083	275	4	convention	convention	NOUN
ap-6083	275	5	for	for	ADP
ap-6083	275	6	ibpa	ibpa	NOUN
ap-6083	275	7	is	be	AUX
ap-6083	275	8	chosen	choose	VERB
ap-6083	275	9	such	such	ADJ
ap-6083	275	10	that	that	SCONJ
ap-6083	275	11	a	a	DET
ap-6083	275	12	positive	positive	ADJ
ap-6083	275	13	value	value	NOUN
ap-6083	275	14	marks	mark	VERB
ap-6083	275	15	a	a	DET
ap-6083	275	16	forward	forward	ADV
ap-6083	275	17	-	-	PUNCT
ap-6083	275	18	travelling	travel	VERB
ap-6083	275	19	wave	wave	NOUN
ap-6083	275	20	in	in	ADP
ap-6083	275	21	the	the	DET
ap-6083	275	22	direction	direction	NOUN
ap-6083	275	23	of	of	ADP
ap-6083	275	24	blade	blade	NOUN
ap-6083	275	25	-	-	PUNCT
ap-6083	275	26	row	row	NOUN
ap-6083	275	27	rotation	rotation	NOUN
ap-6083	275	28	.	.	PUNCT
ap-6083	276	1	in	in	ADP
ap-6083	276	2	spite	spite	NOUN
ap-6083	276	3	of	of	ADP
ap-6083	276	4	the	the	DET
ap-6083	276	5	discussed	discuss	VERB
ap-6083	276	6	shortcomings	shortcoming	NOUN
ap-6083	276	7	of	of	ADP
ap-6083	276	8	the	the	DET
ap-6083	276	9	computational	computational	ADJ
ap-6083	276	10	model	model	NOUN
ap-6083	276	11	,	,	PUNCT
ap-6083	276	12	the	the	DET
ap-6083	276	13	prediction	prediction	NOUN
ap-6083	276	14	of	of	ADP
ap-6083	276	15	aerodynamic	aerodynamic	ADJ
ap-6083	276	16	damping	damping	NOUN
ap-6083	276	17	shows	show	VERB
ap-6083	276	18	a	a	DET
ap-6083	276	19	reasonable	reasonable	ADJ
ap-6083	276	20	agreement	agreement	NOUN
ap-6083	276	21	with	with	ADP
ap-6083	276	22	experiments	experiment	NOUN
ap-6083	276	23	.	.	PUNCT
ap-6083	277	1	the	the	DET
ap-6083	277	2	trends	trend	NOUN
ap-6083	277	3	are	be	AUX
ap-6083	277	4	predicted	predict	VERB
ap-6083	277	5	consistently	consistently	ADV
ap-6083	277	6	,	,	PUNCT
ap-6083	277	7	although	although	SCONJ
ap-6083	277	8	the	the	DET
ap-6083	277	9	numerical	numerical	ADJ
ap-6083	277	10	results	result	NOUN
ap-6083	277	11	are	be	AUX
ap-6083	277	12	shifted	shift	VERB
ap-6083	277	13	by	by	ADP
ap-6083	277	14	0.15	0.15	NUM
ap-6083	277	15	-	-	SYM
ap-6083	277	16	0.26	0.26	NUM
ap-6083	277	17	towards	towards	ADP
ap-6083	277	18	the	the	DET
ap-6083	277	19	region	region	NOUN
ap-6083	277	20	of	of	ADP
ap-6083	277	21	stability	stability	NOUN
ap-6083	277	22	.	.	PUNCT
ap-6083	278	1	it	it	PRON
ap-6083	278	2	has	have	VERB
ap-6083	278	3	to	to	PART
ap-6083	278	4	be	be	AUX
ap-6083	278	5	noted	note	VERB
ap-6083	278	6	that	that	SCONJ
ap-6083	278	7	this	this	DET
ap-6083	278	8	discrepancy	discrepancy	NOUN
ap-6083	278	9	may	may	AUX
ap-6083	278	10	also	also	ADV
ap-6083	278	11	arise	arise	VERB
ap-6083	278	12	from	from	ADP
ap-6083	278	13	the	the	DET
ap-6083	278	14	method	method	NOUN
ap-6083	278	15	of	of	ADP
ap-6083	278	16	aerodynamic	aerodynamic	ADJ
ap-6083	278	17	damping	damp	VERB
ap-6083	278	18	calculation	calculation	NOUN
ap-6083	278	19	from	from	ADP
ap-6083	278	20	experimental	experimental	ADJ
ap-6083	278	21	data	datum	NOUN
ap-6083	278	22	.	.	PUNCT
ap-6083	279	1	the	the	DET
ap-6083	279	2	imaginary	imaginary	ADJ
ap-6083	279	3	part	part	NOUN
ap-6083	279	4	of	of	ADP
ap-6083	279	5	the	the	DET
ap-6083	279	6	unsteady	unsteady	ADJ
ap-6083	279	7	pressure	pressure	NOUN
ap-6083	279	8	coefficient	coefficient	NOUN
ap-6083	279	9	is	be	AUX
ap-6083	279	10	integrated	integrate	VERB
ap-6083	279	11	along	along	ADP
ap-6083	279	12	the	the	DET
ap-6083	279	13	blade	blade	NOUN
ap-6083	279	14	surface	surface	NOUN
ap-6083	279	15	and	and	CCONJ
ap-6083	279	16	given	give	VERB
ap-6083	279	17	the	the	DET
ap-6083	279	18	limited	limited	ADJ
ap-6083	279	19	number	number	NOUN
ap-6083	279	20	of	of	ADP
ap-6083	279	21	transducers	transducer	NOUN
ap-6083	279	22	on	on	ADP
ap-6083	279	23	the	the	DET
ap-6083	279	24	blade	blade	NOUN
ap-6083	279	25	,	,	PUNCT
ap-6083	279	26	this	this	DET
ap-6083	279	27	procedure	procedure	NOUN
ap-6083	279	28	is	be	AUX
ap-6083	279	29	bound	bind	VERB
ap-6083	279	30	to	to	PART
ap-6083	279	31	be	be	AUX
ap-6083	279	32	rather	rather	ADV
ap-6083	279	33	inaccurate	inaccurate	ADJ
ap-6083	279	34	.	.	PUNCT
ap-6083	280	1	4.3	4.3	NUM
ap-6083	280	2	.	.	PUNCT
ap-6083	280	3	transonic	transonic	PROPN
ap-6083	280	4	turbine	turbine	NOUN
ap-6083	280	5	m8	m8	PROPN
ap-6083	280	6	steady	steady	ADJ
ap-6083	280	7	-	-	PUNCT
ap-6083	280	8	state	state	NOUN
ap-6083	280	9	results	result	NOUN
ap-6083	280	10	.	.	PUNCT
ap-6083	281	1	the	the	DET
ap-6083	281	2	steady	steady	ADJ
ap-6083	281	3	-	-	PUNCT
ap-6083	281	4	state	state	NOUN
ap-6083	281	5	blade	blade	NOUN
ap-6083	281	6	mach	mach	NOUN
ap-6083	281	7	number	number	NOUN
ap-6083	281	8	distribution	distribution	NOUN
ap-6083	281	9	is	be	AUX
ap-6083	281	10	plotted	plot	VERB
ap-6083	281	11	in	in	ADP
ap-6083	281	12	fig	fig	NOUN
ap-6083	281	13	.	.	PUNCT
ap-6083	282	1	9	9	NUM
ap-6083	283	1	and	and	CCONJ
ap-6083	283	2	compared	compare	VERB
ap-6083	283	3	to	to	ADP
ap-6083	283	4	the	the	DET
ap-6083	283	5	stcf4	stcf4	PROPN
ap-6083	283	6	turbine	turbine	NOUN
ap-6083	283	7	.	.	PUNCT
ap-6083	284	1	as	as	SCONJ
ap-6083	284	2	the	the	DET
ap-6083	284	3	m8	m8	PROPN
ap-6083	284	4	test	test	NOUN
ap-6083	284	5	-	-	PUNCT
ap-6083	284	6	case	case	NOUN
ap-6083	284	7	represents	represent	VERB
ap-6083	284	8	a	a	DET
ap-6083	284	9	section	section	NOUN
ap-6083	284	10	of	of	ADP
ap-6083	284	11	low	low	ADJ
ap-6083	284	12	-	-	PUNCT
ap-6083	284	13	pressure	pressure	NOUN
ap-6083	284	14	turbine	turbine	NOUN
ap-6083	284	15	in	in	ADP
ap-6083	284	16	the	the	DET
ap-6083	284	17	upper	upper	ADJ
ap-6083	284	18	portion	portion	NOUN
ap-6083	284	19	of	of	ADP
ap-6083	284	20	span	span	NOUN
ap-6083	284	21	,	,	PUNCT
ap-6083	284	22	the	the	DET
ap-6083	284	23	inlet	inlet	ADJ
ap-6083	284	24	mach	mach	NOUN
ap-6083	284	25	number	number	NOUN
ap-6083	284	26	is	be	AUX
ap-6083	284	27	considerably	considerably	ADV
ap-6083	284	28	higher	high	ADJ
ap-6083	284	29	at	at	ADP
ap-6083	284	30	0.76	0.76	NUM
ap-6083	284	31	compared	compare	VERB
ap-6083	284	32	to	to	ADP
ap-6083	284	33	m1	m1	PROPN
ap-6083	284	34	=	=	PUNCT
ap-6083	284	35	0.21	0.21	NUM
ap-6083	284	36	of	of	ADP
ap-6083	284	37	the	the	DET
ap-6083	284	38	stcf4	stcf4	PROPN
ap-6083	284	39	.	.	PUNCT
ap-6083	285	1	the	the	DET
ap-6083	285	2	flow	flow	NOUN
ap-6083	285	3	is	be	AUX
ap-6083	285	4	further	far	ADV
ap-6083	285	5	accelerated	accelerate	VERB
ap-6083	285	6	in	in	ADP
ap-6083	285	7	the	the	DET
ap-6083	285	8	channel	channel	NOUN
ap-6083	285	9	and	and	CCONJ
ap-6083	285	10	reaches	reach	VERB
ap-6083	285	11	a	a	DET
ap-6083	285	12	value	value	NOUN
ap-6083	285	13	of	of	ADP
ap-6083	285	14	1.72	1.72	NUM
ap-6083	285	15	at	at	ADP
ap-6083	285	16	55	55	NUM
ap-6083	285	17	%	%	NOUN
ap-6083	285	18	ss	ss	INTJ
ap-6083	285	19	when	when	SCONJ
ap-6083	285	20	it	it	PRON
ap-6083	285	21	encounters	encounter	VERB
ap-6083	285	22	the	the	DET
ap-6083	285	23	right	right	ADV
ap-6083	285	24	-	-	PUNCT
ap-6083	285	25	running	running	NOUN
ap-6083	285	26	te	te	ADP
ap-6083	285	27	shockwave	shockwave	PROPN
ap-6083	285	28	of	of	ADP
ap-6083	285	29	the	the	DET
ap-6083	285	30	neighbouring	neighbouring	ADJ
ap-6083	285	31	blade	blade	NOUN
ap-6083	285	32	.	.	PUNCT
ap-6083	286	1	the	the	DET
ap-6083	286	2	subsequent	subsequent	ADJ
ap-6083	286	3	deceleration	deceleration	NOUN
ap-6083	286	4	is	be	AUX
ap-6083	286	5	milder	mild	ADJ
ap-6083	286	6	and	and	CCONJ
ap-6083	286	7	the	the	DET
ap-6083	286	8	mach	mach	NOUN
ap-6083	286	9	number	number	NOUN
ap-6083	286	10	remains	remain	VERB
ap-6083	286	11	nearly	nearly	ADV
ap-6083	286	12	constant	constant	ADJ
ap-6083	286	13	at	at	ADP
ap-6083	286	14	the	the	DET
ap-6083	286	15	remainder	remainder	NOUN
ap-6083	286	16	of	of	ADP
ap-6083	286	17	the	the	DET
ap-6083	286	18	ss	ss	NOUN
ap-6083	286	19	.	.	PUNCT
ap-6083	287	1	the	the	DET
ap-6083	287	2	ps	ps	PROPN
ap-6083	287	3	mach	mach	NOUN
ap-6083	287	4	number	number	NOUN
ap-6083	287	5	is	be	AUX
ap-6083	287	6	high	high	ADV
ap-6083	287	7	subsonic	subsonic	ADJ
ap-6083	287	8	with	with	ADP
ap-6083	287	9	a	a	DET
ap-6083	287	10	figure	figure	NOUN
ap-6083	287	11	8	8	NUM
ap-6083	287	12	.	.	PUNCT
ap-6083	288	1	pseudo	pseudo	NOUN
ap-6083	288	2	-	-	NOUN
ap-6083	288	3	schlieren	schlieren	NOUN
ap-6083	288	4	of	of	ADP
ap-6083	288	5	a	a	DET
ap-6083	288	6	steady	steady	ADJ
ap-6083	288	7	-	-	PUNCT
ap-6083	288	8	state	state	NOUN
ap-6083	288	9	flow	flow	NOUN
ap-6083	288	10	in	in	ADP
ap-6083	288	11	the	the	DET
ap-6083	288	12	m8	m8	PROPN
ap-6083	288	13	cascade	cascade	NOUN
ap-6083	288	14	.	.	PUNCT
ap-6083	289	1	figure	figure	NOUN
ap-6083	289	2	9	9	NUM
ap-6083	289	3	.	.	PUNCT
ap-6083	289	4	steady	steady	ADJ
ap-6083	289	5	-	-	PUNCT
ap-6083	289	6	state	state	NOUN
ap-6083	289	7	blade	blade	NOUN
ap-6083	289	8	mach	mach	NOUN
ap-6083	289	9	number	number	NOUN
ap-6083	289	10	distributions	distribution	NOUN
ap-6083	289	11	of	of	ADP
ap-6083	289	12	the	the	DET
ap-6083	289	13	m8	m8	PROPN
ap-6083	289	14	and	and	CCONJ
ap-6083	289	15	stcf4	stcf4	ADJ
ap-6083	289	16	turbine	turbine	NOUN
ap-6083	289	17	cascades	cascade	NOUN
ap-6083	289	18	.	.	PUNCT
ap-6083	290	1	supersonic	supersonic	ADJ
ap-6083	290	2	portion	portion	NOUN
ap-6083	290	3	in	in	ADP
ap-6083	290	4	the	the	DET
ap-6083	290	5	aft	aft	ADJ
ap-6083	290	6	11	11	NUM
ap-6083	290	7	%	%	NOUN
ap-6083	290	8	chord	chord	NOUN
ap-6083	290	9	induced	induce	VERB
ap-6083	290	10	by	by	ADP
ap-6083	290	11	the	the	DET
ap-6083	290	12	flow	flow	NOUN
ap-6083	290	13	acceleration	acceleration	NOUN
ap-6083	290	14	in	in	ADP
ap-6083	290	15	the	the	DET
ap-6083	290	16	inter	inter	ADJ
ap-6083	290	17	-	-	ADJ
ap-6083	290	18	blade	blade	ADJ
ap-6083	290	19	channel	channel	NOUN
ap-6083	290	20	.	.	PUNCT
ap-6083	291	1	the	the	DET
ap-6083	291	2	flow	flow	NOUN
ap-6083	291	3	topology	topology	NOUN
ap-6083	291	4	is	be	AUX
ap-6083	291	5	illustrated	illustrate	VERB
ap-6083	291	6	by	by	ADP
ap-6083	291	7	contours	contours	NOUN
ap-6083	291	8	of	of	ADP
ap-6083	291	9	the	the	DET
ap-6083	291	10	density	density	NOUN
ap-6083	291	11	gradient	gradient	NOUN
ap-6083	291	12	in	in	ADP
ap-6083	291	13	fig	fig	NOUN
ap-6083	291	14	.	.	PUNCT
ap-6083	292	1	8	8	X
ap-6083	292	2	.	.	PUNCT
ap-6083	293	1	the	the	DET
ap-6083	293	2	shockwave	shockwave	PROPN
ap-6083	293	3	pattern	pattern	NOUN
ap-6083	293	4	is	be	AUX
ap-6083	293	5	similar	similar	ADJ
ap-6083	293	6	to	to	ADP
ap-6083	293	7	the	the	DET
ap-6083	293	8	stcf4	stcf4	NOUN
ap-6083	293	9	,	,	PUNCT
ap-6083	293	10	but	but	CCONJ
ap-6083	293	11	the	the	DET
ap-6083	293	12	compression	compression	NOUN
ap-6083	293	13	induced	induce	VERB
ap-6083	293	14	by	by	ADP
ap-6083	293	15	the	the	DET
ap-6083	293	16	pair	pair	NOUN
ap-6083	293	17	of	of	ADP
ap-6083	293	18	leftand	leftand	NOUN
ap-6083	293	19	right	right	ADV
ap-6083	293	20	-	-	PUNCT
ap-6083	293	21	running	running	NOUN
ap-6083	293	22	te	te	ADP
ap-6083	293	23	shockwaves	shockwave	NOUN
ap-6083	293	24	is	be	AUX
ap-6083	293	25	weaker	weak	ADJ
ap-6083	293	26	.	.	PUNCT
ap-6083	294	1	the	the	DET
ap-6083	294	2	density	density	NOUN
ap-6083	294	3	gradients	gradient	NOUN
ap-6083	294	4	marking	mark	VERB
ap-6083	294	5	the	the	DET
ap-6083	294	6	wake	wake	NOUN
ap-6083	294	7	region	region	NOUN
ap-6083	294	8	are	be	AUX
ap-6083	294	9	also	also	ADV
ap-6083	294	10	notably	notably	ADV
ap-6083	294	11	less	less	ADV
ap-6083	294	12	pronounced	pronounce	VERB
ap-6083	294	13	.	.	PUNCT
ap-6083	295	1	unsteady	unsteady	ADJ
ap-6083	295	2	results	result	NOUN
ap-6083	295	3	.	.	PUNCT
ap-6083	296	1	the	the	DET
ap-6083	296	2	global	global	ADJ
ap-6083	296	3	aerodynamic	aerodynamic	ADJ
ap-6083	296	4	damping	damp	VERB
ap-6083	296	5	coefficient	coefficient	NOUN
ap-6083	296	6	is	be	AUX
ap-6083	296	7	plotted	plot	VERB
ap-6083	296	8	in	in	ADP
ap-6083	296	9	fig	fig	NOUN
ap-6083	296	10	.	.	PUNCT
ap-6083	297	1	10	10	NUM
ap-6083	297	2	to	to	PART
ap-6083	297	3	characterise	characterise	VERB
ap-6083	297	4	the	the	DET
ap-6083	297	5	aeroelastic	aeroelastic	ADJ
ap-6083	297	6	stability	stability	NOUN
ap-6083	297	7	of	of	ADP
ap-6083	297	8	the	the	DET
ap-6083	297	9	turbine	turbine	NOUN
ap-6083	297	10	cascade	cascade	NOUN
ap-6083	297	11	.	.	PUNCT
ap-6083	298	1	the	the	DET
ap-6083	298	2	computations	computation	NOUN
ap-6083	298	3	were	be	AUX
ap-6083	298	4	performed	perform	VERB
ap-6083	298	5	for	for	ADP
ap-6083	298	6	the	the	DET
ap-6083	298	7	whole	whole	ADJ
ap-6083	298	8	range	range	NOUN
ap-6083	298	9	of	of	ADP
ap-6083	298	10	ibpa	ibpa	NOUN
ap-6083	298	11	with	with	ADP
ap-6083	298	12	a	a	DET
ap-6083	298	13	stepping	stepping	NOUN
ap-6083	298	14	of	of	ADP
ap-6083	298	15	30	30	NUM
ap-6083	298	16	°	°	NUM
ap-6083	298	17	.	.	PUNCT
ap-6083	299	1	the	the	DET
ap-6083	299	2	damping	damp	VERB
ap-6083	299	3	coefficient	coefficient	NOUN
ap-6083	299	4	is	be	AUX
ap-6083	299	5	negative	negative	ADJ
ap-6083	299	6	in	in	ADP
ap-6083	299	7	all	all	DET
ap-6083	299	8	investigated	investigate	VERB
ap-6083	299	9	cases	case	NOUN
ap-6083	299	10	,	,	PUNCT
ap-6083	299	11	indicating	indicate	VERB
ap-6083	299	12	an	an	DET
ap-6083	299	13	unstable	unstable	ADJ
ap-6083	299	14	behaviour	behaviour	NOUN
ap-6083	299	15	.	.	PUNCT
ap-6083	300	1	its	its	PRON
ap-6083	300	2	values	value	NOUN
ap-6083	300	3	seem	seem	VERB
ap-6083	300	4	to	to	PART
ap-6083	300	5	lie	lie	VERB
ap-6083	300	6	on	on	ADP
ap-6083	300	7	a	a	DET
ap-6083	300	8	nearly	nearly	ADV
ap-6083	300	9	sinusoidal	sinusoidal	ADJ
ap-6083	300	10	curve	curve	NOUN
ap-6083	300	11	with	with	ADP
ap-6083	300	12	the	the	DET
ap-6083	300	13	exception	exception	NOUN
ap-6083	300	14	of	of	ADP
ap-6083	300	15	the	the	DET
ap-6083	300	16	ibpa	ibpa	NOUN
ap-6083	300	17	−30	−30	PROPN
ap-6083	300	18	°	°	PROPN
ap-6083	300	19	.	.	PUNCT
ap-6083	300	20	143	143	NUM
ap-6083	300	21	marek	marek	PROPN
ap-6083	300	22	pátý	pátý	PROPN
ap-6083	300	23	,	,	PUNCT
ap-6083	300	24	jan	jan	PROPN
ap-6083	300	25	halama	halama	PROPN
ap-6083	300	26	acta	acta	PROPN
ap-6083	300	27	polytechnica	polytechnica	PROPN
ap-6083	300	28	figure	figure	NOUN
ap-6083	300	29	10	10	NUM
ap-6083	300	30	.	.	PUNCT
ap-6083	301	1	m8	m8	ADJ
ap-6083	301	2	cascade	cascade	NOUN
ap-6083	301	3	global	global	ADJ
ap-6083	301	4	damping	damp	VERB
ap-6083	301	5	coefficient	coefficient	NOUN
ap-6083	301	6	.	.	PUNCT
ap-6083	302	1	flat	flat	ADJ
ap-6083	302	2	-	-	PUNCT
ap-6083	302	3	plate	plate	NOUN
ap-6083	302	4	cascade	cascade	NOUN
ap-6083	302	5	model	model	NOUN
ap-6083	302	6	predictions	prediction	NOUN
ap-6083	302	7	of	of	ADP
ap-6083	302	8	acoustic	acoustic	ADJ
ap-6083	302	9	resonance	resonance	NOUN
ap-6083	302	10	inter	inter	ADJ
ap-6083	302	11	-	-	ADJ
ap-6083	302	12	blade	blade	ADJ
ap-6083	302	13	phase	phase	NOUN
ap-6083	302	14	angles	angle	NOUN
ap-6083	302	15	highlighted	highlight	VERB
ap-6083	302	16	.	.	PUNCT
ap-6083	303	1	the	the	DET
ap-6083	303	2	aerodynamic	aerodynamic	ADJ
ap-6083	303	3	excitation	excitation	NOUN
ap-6083	303	4	is	be	AUX
ap-6083	303	5	significantly	significantly	ADV
ap-6083	303	6	less	less	ADV
ap-6083	303	7	intense	intense	ADJ
ap-6083	303	8	in	in	ADP
ap-6083	303	9	this	this	DET
ap-6083	303	10	case	case	NOUN
ap-6083	303	11	with	with	ADP
ap-6083	303	12	the	the	DET
ap-6083	303	13	damping	damp	VERB
ap-6083	303	14	coefficient	coefficient	NOUN
ap-6083	303	15	standing	stand	VERB
ap-6083	303	16	out	out	ADP
ap-6083	303	17	by	by	ADP
ap-6083	303	18	0.25	0.25	NUM
ap-6083	303	19	from	from	ADP
ap-6083	303	20	the	the	DET
ap-6083	303	21	distribution	distribution	NOUN
ap-6083	303	22	.	.	PUNCT
ap-6083	304	1	such	such	DET
ap-6083	304	2	a	a	DET
ap-6083	304	3	sharp	sharp	ADJ
ap-6083	304	4	local	local	ADJ
ap-6083	304	5	drop	drop	NOUN
ap-6083	304	6	or	or	CCONJ
ap-6083	304	7	peak	peak	NOUN
ap-6083	304	8	in	in	ADP
ap-6083	304	9	aerodynamic	aerodynamic	ADJ
ap-6083	304	10	damping	damping	NOUN
ap-6083	304	11	is	be	AUX
ap-6083	304	12	commonly	commonly	ADV
ap-6083	304	13	referred	refer	VERB
ap-6083	304	14	to	to	ADP
ap-6083	304	15	as	as	ADP
ap-6083	304	16	a	a	DET
ap-6083	304	17	"	"	PUNCT
ap-6083	304	18	flutter	flutter	NOUN
ap-6083	304	19	bite	bite	NOUN
ap-6083	304	20	"	"	PUNCT
ap-6083	304	21	and	and	CCONJ
ap-6083	304	22	it	it	PRON
ap-6083	304	23	is	be	AUX
ap-6083	304	24	often	often	ADV
ap-6083	304	25	a	a	DET
ap-6083	304	26	manifestation	manifestation	NOUN
ap-6083	304	27	of	of	ADP
ap-6083	304	28	acoustic	acoustic	ADJ
ap-6083	304	29	resonance	resonance	NOUN
ap-6083	304	30	[	[	X
ap-6083	304	31	42	42	NUM
ap-6083	304	32	]	]	PUNCT
ap-6083	304	33	.	.	PUNCT
ap-6083	305	1	this	this	DET
ap-6083	305	2	condition	condition	NOUN
ap-6083	305	3	describes	describe	VERB
ap-6083	305	4	a	a	DET
ap-6083	305	5	limiting	limit	VERB
ap-6083	305	6	state	state	NOUN
ap-6083	305	7	when	when	SCONJ
ap-6083	305	8	acoustic	acoustic	ADJ
ap-6083	305	9	waves	wave	NOUN
ap-6083	305	10	induced	induce	VERB
ap-6083	305	11	by	by	ADP
ap-6083	305	12	the	the	DET
ap-6083	305	13	blade	blade	NOUN
ap-6083	305	14	movement	movement	NOUN
ap-6083	305	15	are	be	AUX
ap-6083	305	16	on	on	ADP
ap-6083	305	17	the	the	DET
ap-6083	305	18	verge	verge	NOUN
ap-6083	305	19	of	of	ADP
ap-6083	305	20	propagating	propagate	VERB
ap-6083	305	21	throughout	throughout	ADP
ap-6083	305	22	the	the	DET
ap-6083	305	23	domain	domain	NOUN
ap-6083	305	24	.	.	PUNCT
ap-6083	306	1	lane	lane	NOUN
ap-6083	306	2	and	and	CCONJ
ap-6083	306	3	friedman	friedman	PROPN
ap-6083	306	4	[	[	X
ap-6083	306	5	45	45	NUM
ap-6083	306	6	]	]	PUNCT
ap-6083	306	7	studied	study	VERB
ap-6083	306	8	propagation	propagation	NOUN
ap-6083	306	9	of	of	ADP
ap-6083	306	10	acoustic	acoustic	ADJ
ap-6083	306	11	waves	wave	NOUN
ap-6083	306	12	in	in	ADP
ap-6083	306	13	a	a	DET
ap-6083	306	14	2d	2d	NUM
ap-6083	306	15	flat	flat	ADJ
ap-6083	306	16	plate	plate	NOUN
ap-6083	306	17	cascade	cascade	NOUN
ap-6083	306	18	and	and	CCONJ
ap-6083	306	19	derived	derive	VERB
ap-6083	306	20	an	an	DET
ap-6083	306	21	analytical	analytical	ADJ
ap-6083	306	22	relation	relation	NOUN
ap-6083	306	23	for	for	ADP
ap-6083	306	24	resonant	resonant	ADJ
ap-6083	306	25	ibpas	ibpa	NOUN
ap-6083	306	26	.	.	PUNCT
ap-6083	307	1	we	we	PRON
ap-6083	307	2	use	use	VERB
ap-6083	307	3	an	an	DET
ap-6083	307	4	equivalent	equivalent	ADJ
ap-6083	307	5	formula	formula	NOUN
ap-6083	307	6	given	give	VERB
ap-6083	307	7	by	by	ADP
ap-6083	307	8	donini	donini	NOUN
ap-6083	308	1	[	[	X
ap-6083	308	2	14	14	NUM
ap-6083	308	3	]	]	X
ap-6083	308	4	:	:	PUNCT
ap-6083	308	5	σr	σr	PROPN
ap-6083	308	6	=	=	PUNCT
ap-6083	308	7	(	(	PUNCT
ap-6083	308	8	mη	mη	NOUN
ap-6083	308	9	±	±	NUM
ap-6083	308	10	√	√	PROPN
ap-6083	308	11	1−m2	1−m2	NUM
ap-6083	308	12	ξ	ξ	X
ap-6083	308	13	)	)	PUNCT
ap-6083	308	14	mλs	mλs	NOUN
ap-6083	308	15	(	(	PUNCT
ap-6083	308	16	1−m2)c	1−m2)c	NUM
ap-6083	308	17	,	,	PUNCT
ap-6083	308	18	(	(	PUNCT
ap-6083	308	19	19	19	NUM
ap-6083	308	20	)	)	PUNCT
ap-6083	308	21	wheremξ	wheremξ	NOUN
ap-6083	308	22	andmη	andmη	NOUN
ap-6083	308	23	are	be	AUX
ap-6083	308	24	the	the	DET
ap-6083	308	25	axial	axial	ADJ
ap-6083	308	26	and	and	CCONJ
ap-6083	308	27	tangential	tangential	ADJ
ap-6083	308	28	mach	mach	NOUN
ap-6083	308	29	numbers	number	NOUN
ap-6083	308	30	respectively	respectively	ADV
ap-6083	308	31	,	,	PUNCT
ap-6083	308	32	λ	λ	PROPN
ap-6083	308	33	is	be	AUX
ap-6083	308	34	the	the	DET
ap-6083	308	35	reduced	reduce	VERB
ap-6083	308	36	frequency	frequency	NOUN
ap-6083	308	37	,	,	PUNCT
ap-6083	308	38	s	s	VERB
ap-6083	308	39	the	the	DET
ap-6083	308	40	blade	blade	NOUN
ap-6083	308	41	-	-	PUNCT
ap-6083	308	42	to	to	ADP
ap-6083	308	43	-	-	PUNCT
ap-6083	308	44	blade	blade	NOUN
ap-6083	308	45	spacing	spacing	NOUN
ap-6083	308	46	and	and	CCONJ
ap-6083	308	47	c	c	X
ap-6083	308	48	the	the	DET
ap-6083	308	49	chord	chord	NOUN
ap-6083	308	50	.	.	PUNCT
ap-6083	309	1	using	use	VERB
ap-6083	309	2	either	either	CCONJ
ap-6083	309	3	the	the	DET
ap-6083	309	4	inlet	inlet	NOUN
ap-6083	309	5	or	or	CCONJ
ap-6083	309	6	the	the	DET
ap-6083	309	7	outlet	outlet	NOUN
ap-6083	309	8	mach	mach	NOUN
ap-6083	309	9	number	number	NOUN
ap-6083	309	10	and	and	CCONJ
ap-6083	309	11	reduced	reduced	ADJ
ap-6083	309	12	frequency	frequency	NOUN
ap-6083	309	13	,	,	PUNCT
ap-6083	309	14	we	we	PRON
ap-6083	309	15	obtain	obtain	VERB
ap-6083	309	16	two	two	NUM
ap-6083	309	17	pairs	pair	NOUN
ap-6083	309	18	of	of	ADP
ap-6083	309	19	resonant	resonant	ADJ
ap-6083	309	20	ibpas	ibpas	NOUN
ap-6083	309	21	.	.	PUNCT
ap-6083	310	1	in	in	ADP
ap-6083	310	2	case	case	NOUN
ap-6083	310	3	of	of	ADP
ap-6083	310	4	the	the	DET
ap-6083	310	5	m8	m8	PROPN
ap-6083	310	6	turbine	turbine	NOUN
ap-6083	310	7	cascade	cascade	NOUN
ap-6083	310	8	,	,	PUNCT
ap-6083	310	9	the	the	DET
ap-6083	310	10	resonant	resonant	NOUN
ap-6083	310	11	angles	angle	NOUN
ap-6083	310	12	are	be	AUX
ap-6083	310	13	σ1	σ1	NOUN
ap-6083	310	14	r	r	NOUN
ap-6083	310	15	,	,	PUNCT
ap-6083	310	16	in	in	ADP
ap-6083	310	17	=	=	NOUN
ap-6083	310	18	−17.1	−17.1	NOUN
ap-6083	310	19	°	°	NOUN
ap-6083	310	20	,	,	PUNCT
ap-6083	310	21	σ2	σ2	NOUN
ap-6083	310	22	r	r	NOUN
ap-6083	310	23	,	,	PUNCT
ap-6083	310	24	in	in	ADP
ap-6083	310	25	=	=	NOUN
ap-6083	310	26	119.6	119.6	NUM
ap-6083	310	27	°	°	NOUN
ap-6083	310	28	for	for	ADP
ap-6083	310	29	the	the	DET
ap-6083	310	30	inlet	inlet	NOUN
ap-6083	310	31	and	and	CCONJ
ap-6083	310	32	σ1	σ1	PROPN
ap-6083	310	33	r	r	NOUN
ap-6083	310	34	,	,	PUNCT
ap-6083	310	35	out	out	ADV
ap-6083	310	36	=	=	SYM
ap-6083	311	1	−52.3	−52.3	NOUN
ap-6083	311	2	°	°	NOUN
ap-6083	311	3	,	,	PUNCT
ap-6083	311	4	σ2	σ2	NOUN
ap-6083	311	5	r	r	NOUN
ap-6083	311	6	,	,	PUNCT
ap-6083	311	7	out	out	ADV
ap-6083	311	8	=	=	SYM
ap-6083	311	9	−12.8	−12.8	NOUN
ap-6083	311	10	°	°	NOUN
ap-6083	311	11	for	for	ADP
ap-6083	311	12	the	the	DET
ap-6083	311	13	outlet	outlet	NOUN
ap-6083	311	14	conditions	condition	NOUN
ap-6083	311	15	.	.	PUNCT
ap-6083	312	1	given	give	VERB
ap-6083	312	2	the	the	DET
ap-6083	312	3	simplifications	simplification	NOUN
ap-6083	312	4	of	of	ADP
ap-6083	312	5	lane	lane	NOUN
ap-6083	312	6	’s	’s	PART
ap-6083	312	7	and	and	CCONJ
ap-6083	312	8	friedman	friedman	PROPN
ap-6083	312	9	’s	’s	PART
ap-6083	312	10	analytical	analytical	ADJ
ap-6083	312	11	model	model	NOUN
ap-6083	312	12	and	and	CCONJ
ap-6083	312	13	the	the	DET
ap-6083	312	14	ibpa	ibpa	NOUN
ap-6083	312	15	resolution	resolution	NOUN
ap-6083	312	16	of	of	ADP
ap-6083	312	17	30	30	NUM
ap-6083	312	18	°	°	NOUN
ap-6083	312	19	of	of	ADP
ap-6083	312	20	investigated	investigate	VERB
ap-6083	312	21	cases	case	NOUN
ap-6083	312	22	,	,	PUNCT
ap-6083	312	23	it	it	PRON
ap-6083	312	24	can	can	AUX
ap-6083	312	25	not	not	PART
ap-6083	312	26	be	be	AUX
ap-6083	312	27	expected	expect	VERB
ap-6083	312	28	that	that	SCONJ
ap-6083	312	29	the	the	DET
ap-6083	312	30	resonant	resonant	NOUN
ap-6083	312	31	angles	angle	NOUN
ap-6083	312	32	would	would	AUX
ap-6083	312	33	match	match	VERB
ap-6083	312	34	exactly	exactly	ADV
ap-6083	312	35	the	the	DET
ap-6083	312	36	results	result	NOUN
ap-6083	312	37	of	of	ADP
ap-6083	312	38	the	the	DET
ap-6083	312	39	computation	computation	NOUN
ap-6083	312	40	.	.	PUNCT
ap-6083	313	1	however	however	ADV
ap-6083	313	2	,	,	PUNCT
ap-6083	313	3	the	the	DET
ap-6083	313	4	location	location	NOUN
ap-6083	313	5	of	of	ADP
ap-6083	313	6	the	the	DET
ap-6083	313	7	ibpa	ibpa	NOUN
ap-6083	313	8	−30	−30	PROPN
ap-6083	313	9	°	°	NOUN
ap-6083	313	10	in	in	ADP
ap-6083	313	11	the	the	DET
ap-6083	313	12	neighbourhood	neighbourhood	NOUN
ap-6083	313	13	of	of	ADP
ap-6083	313	14	the	the	DET
ap-6083	313	15	first	first	ADJ
ap-6083	313	16	inlet	inlet	NOUN
ap-6083	313	17	and	and	CCONJ
ap-6083	313	18	of	of	ADP
ap-6083	313	19	both	both	PRON
ap-6083	313	20	outlet	outlet	NOUN
ap-6083	313	21	resonant	resonant	NOUN
ap-6083	313	22	angles	angle	NOUN
ap-6083	313	23	supports	support	VERB
ap-6083	313	24	the	the	DET
ap-6083	313	25	conlusion	conlusion	NOUN
ap-6083	313	26	that	that	SCONJ
ap-6083	313	27	the	the	DET
ap-6083	313	28	local	local	ADJ
ap-6083	313	29	peak	peak	NOUN
ap-6083	313	30	in	in	ADP
ap-6083	313	31	damping	damp	VERB
ap-6083	313	32	is	be	AUX
ap-6083	313	33	caused	cause	VERB
ap-6083	313	34	by	by	ADP
ap-6083	313	35	acoustic	acoustic	ADJ
ap-6083	313	36	resonance	resonance	NOUN
ap-6083	313	37	.	.	PUNCT
ap-6083	314	1	5	5	X
ap-6083	314	2	.	.	X
ap-6083	314	3	conclusions	conclusion	NOUN
ap-6083	314	4	this	this	DET
ap-6083	314	5	paper	paper	NOUN
ap-6083	314	6	presents	present	VERB
ap-6083	314	7	the	the	DET
ap-6083	314	8	results	result	NOUN
ap-6083	314	9	of	of	ADP
ap-6083	314	10	a	a	DET
ap-6083	314	11	numerical	numerical	ADJ
ap-6083	314	12	flutter	flutter	NOUN
ap-6083	314	13	investigation	investigation	NOUN
ap-6083	314	14	for	for	ADP
ap-6083	314	15	a	a	DET
ap-6083	314	16	low	low	ADJ
ap-6083	314	17	-	-	PUNCT
ap-6083	314	18	pressure	pressure	NOUN
ap-6083	314	19	turbine	turbine	NOUN
ap-6083	314	20	blade	blade	NOUN
ap-6083	314	21	row	row	NOUN
ap-6083	314	22	.	.	PUNCT
ap-6083	315	1	the	the	DET
ap-6083	315	2	in	in	ADP
ap-6083	315	3	-	-	PUNCT
ap-6083	315	4	house	house	NOUN
ap-6083	315	5	solver	solver	NOUN
ap-6083	315	6	is	be	AUX
ap-6083	315	7	based	base	VERB
ap-6083	315	8	on	on	ADP
ap-6083	315	9	euler	euler	NOUN
ap-6083	315	10	equations	equation	NOUN
ap-6083	315	11	for	for	ADP
ap-6083	315	12	planar	planar	ADJ
ap-6083	315	13	flow	flow	NOUN
ap-6083	315	14	,	,	PUNCT
ap-6083	315	15	discretized	discretize	VERB
ap-6083	315	16	by	by	ADP
ap-6083	315	17	the	the	DET
ap-6083	315	18	finite	finite	PROPN
ap-6083	315	19	volume	volume	NOUN
ap-6083	315	20	method	method	NOUN
ap-6083	315	21	.	.	PUNCT
ap-6083	316	1	the	the	DET
ap-6083	316	2	ausm+-up	ausm+-up	PROPN
ap-6083	316	3	scheme	scheme	NOUN
ap-6083	316	4	is	be	AUX
ap-6083	316	5	used	use	VERB
ap-6083	316	6	for	for	ADP
ap-6083	316	7	flux	flux	NOUN
ap-6083	316	8	approximation	approximation	NOUN
ap-6083	316	9	and	and	CCONJ
ap-6083	316	10	a	a	DET
ap-6083	316	11	muscl	muscl	ADJ
ap-6083	316	12	-	-	PUNCT
ap-6083	316	13	type	type	NOUN
ap-6083	316	14	reconstruction	reconstruction	NOUN
ap-6083	316	15	is	be	AUX
ap-6083	316	16	employed	employ	VERB
ap-6083	316	17	to	to	PART
ap-6083	316	18	construct	construct	VERB
ap-6083	316	19	a	a	DET
ap-6083	316	20	higher	high	ADJ
ap-6083	316	21	-	-	PUNCT
ap-6083	316	22	order	order	NOUN
ap-6083	316	23	scheme	scheme	NOUN
ap-6083	316	24	.	.	PUNCT
ap-6083	317	1	a	a	DET
ap-6083	317	2	weighted	weight	VERB
ap-6083	317	3	leastsquares	leastsquare	NOUN
ap-6083	317	4	gradient	gradient	NOUN
ap-6083	317	5	approximation	approximation	NOUN
ap-6083	317	6	was	be	AUX
ap-6083	317	7	tested	test	VERB
ap-6083	317	8	for	for	ADP
ap-6083	317	9	several	several	ADJ
ap-6083	317	10	types	type	NOUN
ap-6083	317	11	of	of	ADP
ap-6083	317	12	grids	grid	NOUN
ap-6083	317	13	and	and	CCONJ
ap-6083	317	14	it	it	PRON
ap-6083	317	15	was	be	AUX
ap-6083	317	16	shown	show	VERB
ap-6083	317	17	that	that	SCONJ
ap-6083	317	18	the	the	DET
ap-6083	317	19	best	good	ADJ
ap-6083	317	20	accuracy	accuracy	NOUN
ap-6083	317	21	is	be	AUX
ap-6083	317	22	achieved	achieve	VERB
ap-6083	317	23	with	with	ADP
ap-6083	317	24	a	a	DET
ap-6083	317	25	vertex	vertex	NOUN
ap-6083	317	26	-	-	PUNCT
ap-6083	317	27	based	base	VERB
ap-6083	317	28	stencil	stencil	NOUN
ap-6083	317	29	and	and	CCONJ
ap-6083	317	30	a	a	DET
ap-6083	317	31	weighting	weighting	NOUN
ap-6083	317	32	exponent	exponent	NOUN
ap-6083	317	33	−	−	PROPN
ap-6083	317	34	3	3	NUM
ap-6083	317	35	2	2	NUM
ap-6083	317	36	.	.	PUNCT
ap-6083	318	1	such	such	ADJ
ap-6083	318	2	approximation	approximation	NOUN
ap-6083	318	3	achieved	achieve	VERB
ap-6083	318	4	at	at	ADP
ap-6083	318	5	least	least	ADJ
ap-6083	318	6	1st	1st	ADJ
ap-6083	318	7	order	order	NOUN
ap-6083	318	8	accuracy	accuracy	NOUN
ap-6083	318	9	on	on	ADP
ap-6083	318	10	all	all	DET
ap-6083	318	11	grids	grid	NOUN
ap-6083	318	12	and	and	CCONJ
ap-6083	318	13	it	it	PRON
ap-6083	318	14	is	be	AUX
ap-6083	318	15	thus	thus	ADV
ap-6083	318	16	considered	consider	VERB
ap-6083	318	17	sufficient	sufficient	ADJ
ap-6083	318	18	for	for	ADP
ap-6083	318	19	the	the	DET
ap-6083	318	20	construction	construction	NOUN
ap-6083	318	21	of	of	ADP
ap-6083	318	22	a	a	DET
ap-6083	318	23	2nd	2nd	ADJ
ap-6083	318	24	order	order	NOUN
ap-6083	318	25	muscl	muscl	PROPN
ap-6083	318	26	reconstruction	reconstruction	NOUN
ap-6083	318	27	.	.	PUNCT
ap-6083	319	1	several	several	ADJ
ap-6083	319	2	gradient	gradient	NOUN
ap-6083	319	3	-	-	PUNCT
ap-6083	319	4	limiting	limit	VERB
ap-6083	319	5	techniques	technique	NOUN
ap-6083	319	6	were	be	AUX
ap-6083	319	7	tested	test	VERB
ap-6083	319	8	on	on	ADP
ap-6083	319	9	a	a	DET
ap-6083	319	10	steady	steady	ADJ
ap-6083	319	11	-	-	PUNCT
ap-6083	319	12	state	state	NOUN
ap-6083	319	13	computation	computation	NOUN
ap-6083	319	14	of	of	ADP
ap-6083	319	15	the	the	DET
ap-6083	319	16	fourth	fourth	ADJ
ap-6083	319	17	standard	standard	ADJ
ap-6083	319	18	configuration	configuration	NOUN
ap-6083	319	19	turbine	turbine	NOUN
ap-6083	319	20	cascade	cascade	NOUN
ap-6083	319	21	.	.	PUNCT
ap-6083	320	1	although	although	SCONJ
ap-6083	320	2	the	the	DET
ap-6083	320	3	method	method	NOUN
ap-6083	320	4	of	of	ADP
ap-6083	320	5	barth	barth	NOUN
ap-6083	320	6	&	&	CCONJ
ap-6083	320	7	jespersen	jespersen	PROPN
ap-6083	320	8	managed	manage	VERB
ap-6083	320	9	to	to	PART
ap-6083	320	10	capture	capture	VERB
ap-6083	320	11	shockwaves	shockwave	NOUN
ap-6083	320	12	with	with	ADP
ap-6083	320	13	the	the	DET
ap-6083	320	14	sharpest	sharp	ADJ
ap-6083	320	15	resolution	resolution	NOUN
ap-6083	320	16	,	,	PUNCT
ap-6083	320	17	it	it	PRON
ap-6083	320	18	suffered	suffer	VERB
ap-6083	320	19	from	from	ADP
ap-6083	320	20	a	a	DET
ap-6083	320	21	rather	rather	ADV
ap-6083	320	22	poor	poor	ADJ
ap-6083	320	23	convergence	convergence	NOUN
ap-6083	320	24	behaviour	behaviour	NOUN
ap-6083	320	25	.	.	PUNCT
ap-6083	321	1	the	the	DET
ap-6083	321	2	face	face	NOUN
ap-6083	321	3	-	-	PUNCT
ap-6083	321	4	based	base	VERB
ap-6083	321	5	limiting	limiting	NOUN
ap-6083	321	6	technique	technique	NOUN
ap-6083	321	7	of	of	ADP
ap-6083	321	8	delis	deli	NOUN
ap-6083	321	9	and	and	CCONJ
ap-6083	321	10	nikolos	nikolos	PROPN
ap-6083	321	11	offered	offer	VERB
ap-6083	321	12	the	the	DET
ap-6083	321	13	most	most	ADV
ap-6083	321	14	favourable	favourable	ADJ
ap-6083	321	15	combination	combination	NOUN
ap-6083	321	16	of	of	ADP
ap-6083	321	17	improved	improved	ADJ
ap-6083	321	18	convergence	convergence	NOUN
ap-6083	321	19	properties	property	NOUN
ap-6083	321	20	and	and	CCONJ
ap-6083	321	21	accurate	accurate	ADJ
ap-6083	321	22	extrema	extrema	NOUN
ap-6083	321	23	resolution	resolution	NOUN
ap-6083	321	24	.	.	PUNCT
ap-6083	322	1	both	both	DET
ap-6083	322	2	steady	steady	ADJ
ap-6083	322	3	-	-	PUNCT
ap-6083	322	4	state	state	NOUN
ap-6083	322	5	and	and	CCONJ
ap-6083	322	6	unsteady	unsteady	ADJ
ap-6083	322	7	computations	computation	NOUN
ap-6083	322	8	of	of	ADP
ap-6083	322	9	the	the	DET
ap-6083	322	10	stcf4	stcf4	PROPN
ap-6083	322	11	turbine	turbine	NOUN
ap-6083	322	12	showed	show	VERB
ap-6083	322	13	a	a	DET
ap-6083	322	14	good	good	ADJ
ap-6083	322	15	overall	overall	ADJ
ap-6083	322	16	agreement	agreement	NOUN
ap-6083	322	17	with	with	ADP
ap-6083	322	18	experimental	experimental	ADJ
ap-6083	322	19	data	datum	NOUN
ap-6083	322	20	.	.	PUNCT
ap-6083	323	1	there	there	PRON
ap-6083	323	2	were	be	VERB
ap-6083	323	3	observed	observe	VERB
ap-6083	323	4	discrepancies	discrepancy	NOUN
ap-6083	323	5	in	in	ADP
ap-6083	323	6	terms	term	NOUN
ap-6083	323	7	of	of	ADP
ap-6083	323	8	the	the	DET
ap-6083	323	9	local	local	ADJ
ap-6083	323	10	pressure	pressure	NOUN
ap-6083	323	11	magnitude	magnitude	NOUN
ap-6083	323	12	during	during	ADP
ap-6083	323	13	suction	suction	NOUN
ap-6083	323	14	-	-	PUNCT
ap-6083	323	15	side	side	NOUN
ap-6083	323	16	shockwave	shockwave	NOUN
ap-6083	323	17	impingement	impingement	NOUN
ap-6083	323	18	and	and	CCONJ
ap-6083	323	19	in	in	ADP
ap-6083	323	20	the	the	DET
ap-6083	323	21	unsteady	unsteady	ADJ
ap-6083	323	22	pressure	pressure	NOUN
ap-6083	323	23	phase	phase	NOUN
ap-6083	323	24	-	-	PUNCT
ap-6083	323	25	shift	shift	NOUN
ap-6083	323	26	further	further	ADJ
ap-6083	323	27	downstream	downstream	ADV
ap-6083	323	28	along	along	ADP
ap-6083	323	29	the	the	DET
ap-6083	323	30	suction	suction	NOUN
ap-6083	323	31	side	side	NOUN
ap-6083	323	32	.	.	PUNCT
ap-6083	324	1	both	both	DET
ap-6083	324	2	these	these	DET
ap-6083	324	3	discrepancies	discrepancy	NOUN
ap-6083	324	4	were	be	AUX
ap-6083	324	5	ascribed	ascribe	VERB
ap-6083	324	6	to	to	ADP
ap-6083	324	7	the	the	DET
ap-6083	324	8	influence	influence	NOUN
ap-6083	324	9	of	of	ADP
ap-6083	324	10	viscous	viscous	ADJ
ap-6083	324	11	and	and	CCONJ
ap-6083	324	12	threedimensional	threedimensional	ADJ
ap-6083	324	13	effects	effect	NOUN
ap-6083	324	14	which	which	PRON
ap-6083	324	15	are	be	AUX
ap-6083	324	16	not	not	PART
ap-6083	324	17	included	include	VERB
ap-6083	324	18	in	in	ADP
ap-6083	324	19	the	the	DET
ap-6083	324	20	numerical	numerical	ADJ
ap-6083	324	21	model	model	PROPN
ap-6083	324	22	.	.	PUNCT
ap-6083	325	1	the	the	DET
ap-6083	325	2	global	global	ADJ
ap-6083	325	3	aerodynamic	aerodynamic	ADJ
ap-6083	325	4	damping	damp	VERB
ap-6083	325	5	prediction	prediction	NOUN
ap-6083	325	6	for	for	ADP
ap-6083	325	7	different	different	ADJ
ap-6083	325	8	inter	inter	ADJ
ap-6083	325	9	-	-	ADJ
ap-6083	325	10	blade	blade	ADJ
ap-6083	325	11	phase	phase	NOUN
ap-6083	325	12	angles	angle	NOUN
ap-6083	325	13	matched	match	VERB
ap-6083	325	14	the	the	DET
ap-6083	325	15	measurements	measurement	NOUN
ap-6083	325	16	in	in	ADP
ap-6083	325	17	terms	term	NOUN
ap-6083	325	18	of	of	ADP
ap-6083	325	19	the	the	DET
ap-6083	325	20	overall	overall	ADJ
ap-6083	325	21	trends	trend	NOUN
ap-6083	325	22	,	,	PUNCT
ap-6083	325	23	but	but	CCONJ
ap-6083	325	24	the	the	DET
ap-6083	325	25	absolute	absolute	ADJ
ap-6083	325	26	values	value	NOUN
ap-6083	325	27	showed	show	VERB
ap-6083	325	28	an	an	DET
ap-6083	325	29	offset	offset	NOUN
ap-6083	325	30	.	.	PUNCT
ap-6083	326	1	apart	apart	ADV
ap-6083	326	2	from	from	ADP
ap-6083	326	3	the	the	DET
ap-6083	326	4	computational	computational	ADJ
ap-6083	326	5	model	model	NOUN
ap-6083	326	6	simplifications	simplification	NOUN
ap-6083	326	7	,	,	PUNCT
ap-6083	326	8	this	this	DET
ap-6083	326	9	disagreement	disagreement	NOUN
ap-6083	326	10	can	can	AUX
ap-6083	326	11	also	also	ADV
ap-6083	326	12	be	be	AUX
ap-6083	326	13	ascribed	ascribe	VERB
ap-6083	326	14	to	to	ADP
ap-6083	326	15	the	the	DET
ap-6083	326	16	limited	limited	ADJ
ap-6083	326	17	accuracy	accuracy	NOUN
ap-6083	326	18	of	of	ADP
ap-6083	326	19	damping	damp	VERB
ap-6083	326	20	coefficient	coefficient	NOUN
ap-6083	326	21	evaluation	evaluation	NOUN
ap-6083	326	22	from	from	ADP
ap-6083	326	23	experimental	experimental	ADJ
ap-6083	326	24	data	datum	NOUN
ap-6083	326	25	.	.	PUNCT
ap-6083	327	1	the	the	DET
ap-6083	327	2	aeroelastic	aeroelastic	ADJ
ap-6083	327	3	behaviour	behaviour	NOUN
ap-6083	327	4	was	be	AUX
ap-6083	327	5	further	far	ADV
ap-6083	327	6	analysed	analyse	VERB
ap-6083	327	7	for	for	ADP
ap-6083	327	8	a	a	DET
ap-6083	327	9	low	low	ADJ
ap-6083	327	10	-	-	PUNCT
ap-6083	327	11	pressure	pressure	NOUN
ap-6083	327	12	turbine	turbine	NOUN
ap-6083	327	13	m8	m8	PROPN
ap-6083	327	14	,	,	PUNCT
ap-6083	327	15	operating	operate	VERB
ap-6083	327	16	at	at	ADP
ap-6083	327	17	high	high	ADJ
ap-6083	327	18	subsonic	subsonic	ADJ
ap-6083	327	19	inlet	inlet	NOUN
ap-6083	327	20	conditions	condition	NOUN
ap-6083	327	21	and	and	CCONJ
ap-6083	327	22	excited	excite	VERB
ap-6083	327	23	in	in	ADP
ap-6083	327	24	a	a	DET
ap-6083	327	25	coupled	couple	VERB
ap-6083	327	26	mode	mode	NOUN
ap-6083	327	27	of	of	ADP
ap-6083	327	28	vibration	vibration	NOUN
ap-6083	327	29	.	.	PUNCT
ap-6083	328	1	the	the	DET
ap-6083	328	2	global	global	ADJ
ap-6083	328	3	damping	damp	VERB
ap-6083	328	4	coefficient	coefficient	NOUN
ap-6083	328	5	followed	follow	VERB
ap-6083	328	6	a	a	DET
ap-6083	328	7	sinusoidal	sinusoidal	NOUN
ap-6083	328	8	curve	curve	NOUN
ap-6083	328	9	over	over	ADP
ap-6083	328	10	a	a	DET
ap-6083	328	11	range	range	NOUN
ap-6083	328	12	of	of	ADP
ap-6083	328	13	inter	inter	ADJ
ap-6083	328	14	-	-	ADJ
ap-6083	328	15	blade	blade	ADJ
ap-6083	328	16	phase	phase	NOUN
ap-6083	328	17	angles	angle	VERB
ap-6083	328	18	with	with	ADP
ap-6083	328	19	a	a	DET
ap-6083	328	20	strong	strong	ADJ
ap-6083	328	21	deviation	deviation	NOUN
ap-6083	328	22	observed	observe	VERB
ap-6083	328	23	for	for	ADP
ap-6083	328	24	the	the	DET
ap-6083	328	25	ibpa	ibpa	NOUN
ap-6083	328	26	−30	−30	PROPN
ap-6083	328	27	°	°	PROPN
ap-6083	328	28	.	.	PUNCT
ap-6083	329	1	an	an	DET
ap-6083	329	2	analytical	analytical	ADJ
ap-6083	329	3	model	model	NOUN
ap-6083	329	4	for	for	ADP
ap-6083	329	5	the	the	DET
ap-6083	329	6	propagation	propagation	NOUN
ap-6083	329	7	of	of	ADP
ap-6083	329	8	acoustic	acoustic	ADJ
ap-6083	329	9	waves	wave	NOUN
ap-6083	329	10	in	in	ADP
ap-6083	329	11	a	a	DET
ap-6083	329	12	2d	2d	NUM
ap-6083	329	13	flat	flat	ADJ
ap-6083	329	14	plate	plate	NOUN
ap-6083	329	15	cascade	cascade	NOUN
ap-6083	329	16	showed	show	VERB
ap-6083	329	17	that	that	SCONJ
ap-6083	329	18	the	the	DET
ap-6083	329	19	probable	probable	ADJ
ap-6083	329	20	cause	cause	NOUN
ap-6083	329	21	of	of	ADP
ap-6083	329	22	this	this	DET
ap-6083	329	23	damping	damp	VERB
ap-6083	329	24	peak	peak	NOUN
ap-6083	329	25	is	be	AUX
ap-6083	329	26	acoustic	acoustic	ADJ
ap-6083	329	27	resonance	resonance	NOUN
ap-6083	329	28	.	.	PUNCT
ap-6083	330	1	6	6	X
ap-6083	330	2	.	.	X
ap-6083	330	3	acknowledgements	acknowledgement	NOUN
ap-6083	330	4	authors	author	NOUN
ap-6083	330	5	gratefully	gratefully	ADV
ap-6083	330	6	acknowledge	acknowledge	VERB
ap-6083	330	7	support	support	NOUN
ap-6083	330	8	from	from	ADP
ap-6083	330	9	the	the	DET
ap-6083	330	10	esif	esif	NOUN
ap-6083	330	11	,	,	PUNCT
ap-6083	330	12	eu	eu	PROPN
ap-6083	330	13	operational	operational	ADJ
ap-6083	330	14	programme	programme	NOUN
ap-6083	330	15	research	research	NOUN
ap-6083	330	16	,	,	PUNCT
ap-6083	330	17	development	development	NOUN
ap-6083	330	18	and	and	CCONJ
ap-6083	330	19	education	education	NOUN
ap-6083	330	20	,	,	PUNCT
ap-6083	330	21	and	and	CCONJ
ap-6083	330	22	from	from	ADP
ap-6083	330	23	the	the	DET
ap-6083	330	24	center	center	NOUN
ap-6083	330	25	of	of	ADP
ap-6083	330	26	advanced	advanced	ADJ
ap-6083	330	27	aerospace	aerospace	NOUN
ap-6083	330	28	technology	technology	NOUN
ap-6083	330	29	(	(	PUNCT
ap-6083	330	30	cz.02.1.01/0.0/0.0/16_019/0000826	cz.02.1.01/0.0/0.0/16_019/0000826	NUM
ap-6083	330	31	)	)	PUNCT
ap-6083	330	32	,	,	PUNCT
ap-6083	330	33	faculty	faculty	NOUN
ap-6083	330	34	of	of	ADP
ap-6083	330	35	mechanical	mechanical	ADJ
ap-6083	330	36	engineering	engineering	NOUN
ap-6083	330	37	,	,	PUNCT
ap-6083	330	38	czech	czech	PROPN
ap-6083	330	39	technical	technical	PROPN
ap-6083	330	40	university	university	PROPN
ap-6083	330	41	in	in	ADP
ap-6083	330	42	prague	prague	PROPN
ap-6083	330	43	,	,	PUNCT
ap-6083	330	44	and	and	CCONJ
ap-6083	330	45	from	from	ADP
ap-6083	330	46	the	the	DET
ap-6083	330	47	grant	grant	PROPN
ap-6083	330	48	agency	agency	PROPN
ap-6083	330	49	of	of	ADP
ap-6083	330	50	ctu	ctu	PROPN
ap-6083	330	51	in	in	ADP
ap-6083	330	52	prague	prague	PROPN
ap-6083	330	53	,	,	PUNCT
ap-6083	330	54	grant	grant	VERB
ap-6083	330	55	no	no	INTJ
ap-6083	330	56	.	.	PUNCT
ap-6083	331	1	sgs19/154	sgs19/154	PROPN
ap-6083	331	2	/	/	SYM
ap-6083	331	3	ohk2/3t/12	ohk2/3t/12	PROPN
ap-6083	331	4	.	.	PUNCT
ap-6083	332	1	144	144	NUM
ap-6083	332	2	vol	vol	NOUN
ap-6083	332	3	.	.	PUNCT
ap-6083	333	1	61	61	NUM
ap-6083	333	2	special	special	ADJ
ap-6083	333	3	issue/2021	issue/2021	NOUN
ap-6083	333	4	numerical	numerical	PROPN
ap-6083	333	5	flutter	flutter	PROPN
ap-6083	333	6	prediction	prediction	NOUN
ap-6083	333	7	list	list	NOUN
ap-6083	333	8	of	of	ADP
ap-6083	333	9	symbols	symbol	NOUN
ap-6083	333	10	a	a	DET
ap-6083	333	11	amplitude	amplitude	NOUN
ap-6083	333	12	ale	ale	NOUN
ap-6083	333	13	arbitrary	arbitrary	ADJ
ap-6083	333	14	lagrangien	lagrangien	NOUN
ap-6083	333	15	-	-	PUNCT
ap-6083	333	16	eulerian	eulerian	NOUN
ap-6083	333	17	b	b	PROPN
ap-6083	333	18	blade	blade	NOUN
ap-6083	333	19	span	span	NOUN
ap-6083	334	1	[	[	X
ap-6083	334	2	m	m	X
ap-6083	334	3	]	]	X
ap-6083	334	4	c	c	NOUN
ap-6083	334	5	chord	chord	NOUN
ap-6083	334	6	[	[	X
ap-6083	334	7	m	m	X
ap-6083	334	8	]	]	X
ap-6083	334	9	cp	cp	NUM
ap-6083	334	10	pressure	pressure	NOUN
ap-6083	334	11	coefficient	coefficient	NOUN
ap-6083	334	12	,	,	PUNCT
ap-6083	334	13	(	(	PUNCT
ap-6083	334	14	ps	ps	NOUN
ap-6083	334	15	−	−	NOUN
ap-6083	334	16	ps2)/(p01	ps2)/(p01	NOUN
ap-6083	334	17	−	−	PROPN
ap-6083	334	18	ps2	ps2	ADJ
ap-6083	334	19	)	)	PUNCT
ap-6083	334	20	cp(n	cp(n	NOUN
ap-6083	334	21	)	)	PUNCT
ap-6083	334	22	n	n	CCONJ
ap-6083	334	23	-	-	PUNCT
ap-6083	334	24	th	th	VERB
ap-6083	334	25	harmonic	harmonic	NOUN
ap-6083	334	26	of	of	ADP
ap-6083	334	27	unsteady	unsteady	ADJ
ap-6083	334	28	pressure	pressure	NOUN
ap-6083	334	29	coefficient	coefficient	NOUN
ap-6083	334	30	,	,	PUNCT
ap-6083	334	31	ps(n)/[h	ps(n)/[h	ADJ
ap-6083	334	32	/	/	SYM
ap-6083	334	33	c(p01	c(p01	NOUN
ap-6083	334	34	−	−	PROPN
ap-6083	334	35	ps2	ps2	NOUN
ap-6083	334	36	)	)	PUNCT
ap-6083	334	37	]	]	PUNCT
ap-6083	334	38	cfd	cfd	NOUN
ap-6083	334	39	computational	computational	ADJ
ap-6083	334	40	fluid	fluid	NOUN
ap-6083	334	41	dynamics	dynamic	NOUN
ap-6083	334	42	csm	csm	VERB
ap-6083	334	43	computational	computational	ADJ
ap-6083	334	44	structural	structural	ADJ
ap-6083	334	45	mechanics	mechanic	NOUN
ap-6083	334	46	h	h	PROPN
ap-6083	334	47	maximum	maximum	ADJ
ap-6083	334	48	blade	blade	NOUN
ap-6083	334	49	displacement	displacement	NOUN
ap-6083	335	1	[	[	X
ap-6083	335	2	m	m	X
ap-6083	335	3	]	]	X
ap-6083	335	4	e	e	X
ap-6083	335	5	energy	energy	NOUN
ap-6083	335	6	[	[	X
ap-6083	335	7	j	j	X
ap-6083	335	8	kg−1	kg−1	PROPN
ap-6083	335	9	]	]	PUNCT
ap-6083	335	10	ea	ea	X
ap-6083	335	11	elastic	elastic	ADJ
ap-6083	335	12	axis	axis	NOUN
ap-6083	335	13	f	f	PROPN
ap-6083	335	14	frequency	frequency	NOUN
ap-6083	335	15	[	[	X
ap-6083	335	16	hz	hz	X
ap-6083	335	17	]	]	X
ap-6083	335	18	f	f	PROPN
ap-6083	335	19	flux	flux	PROPN
ap-6083	335	20	vector	vector	PROPN
ap-6083	335	21	fem	fem	PROPN
ap-6083	335	22	finite	finite	PROPN
ap-6083	335	23	element	element	PROPN
ap-6083	335	24	methods	method	NOUN
ap-6083	335	25	fvm	fvm	ADV
ap-6083	335	26	finite	finite	VERB
ap-6083	335	27	volume	volume	NOUN
ap-6083	335	28	methods	method	NOUN
ap-6083	335	29	gcl	gcl	PROPN
ap-6083	335	30	geometric	geometric	ADJ
ap-6083	335	31	conservation	conservation	NOUN
ap-6083	335	32	law	law	NOUN
ap-6083	335	33	gg	gg	PROPN
ap-6083	335	34	green	green	PROPN
ap-6083	335	35	-	-	PUNCT
ap-6083	335	36	gauss	gauss	PROPN
ap-6083	335	37	ibpa	ibpa	NOUN
ap-6083	335	38	inter	inter	ADJ
ap-6083	335	39	-	-	ADJ
ap-6083	335	40	blade	blade	ADJ
ap-6083	335	41	phase	phase	NOUN
ap-6083	335	42	angle	angle	NOUN
ap-6083	335	43	k	k	PROPN
ap-6083	335	44	weighting	weight	VERB
ap-6083	335	45	exponent	exponent	PROPN
ap-6083	335	46	lcd	lcd	PROPN
ap-6083	335	47	limited	limit	VERB
ap-6083	335	48	central	central	ADJ
ap-6083	335	49	difference	difference	NOUN
ap-6083	335	50	le	le	X
ap-6083	335	51	leading	lead	VERB
ap-6083	335	52	edge	edge	NOUN
ap-6083	335	53	lp	lp	PRON
ap-6083	335	54	low	low	ADJ
ap-6083	335	55	-	-	PUNCT
ap-6083	335	56	pressure	pressure	NOUN
ap-6083	335	57	lsq	lsq	NOUN
ap-6083	335	58	least	least	ADJ
ap-6083	335	59	squares	square	NOUN
ap-6083	335	60	m	m	VERB
ap-6083	335	61	mach	mach	ADJ
ap-6083	335	62	number	number	NOUN
ap-6083	335	63	ṁ	ṁ	NOUN
ap-6083	335	64	mass	mass	NOUN
ap-6083	335	65	-	-	PUNCT
ap-6083	335	66	flow	flow	NOUN
ap-6083	335	67	[	[	X
ap-6083	335	68	kgm−2	kgm−2	X
ap-6083	335	69	s−1	s−1	PROPN
ap-6083	335	70	]	]	PUNCT
ap-6083	335	71	mlp	mlp	NOUN
ap-6083	335	72	multidimensional	multidimensional	ADJ
ap-6083	335	73	limiting	limiting	NOUN
ap-6083	335	74	process	process	NOUN
ap-6083	335	75	mp	mp	PROPN
ap-6083	335	76	maximum	maximum	ADJ
ap-6083	335	77	principle	principle	ADJ
ap-6083	335	78	muscl	muscl	NOUN
ap-6083	335	79	monotone	monotone	ADJ
ap-6083	335	80	upstream	upstream	NOUN
ap-6083	335	81	-	-	PUNCT
ap-6083	335	82	centered	center	VERB
ap-6083	335	83	schemes	scheme	NOUN
ap-6083	335	84	for	for	ADP
ap-6083	335	85	conservation	conservation	NOUN
ap-6083	335	86	laws	law	NOUN
ap-6083	335	87	n	n	PRON
ap-6083	335	88	surface	surface	VERB
ap-6083	335	89	normal	normal	ADJ
ap-6083	335	90	[	[	X
ap-6083	335	91	m	m	X
ap-6083	335	92	]	]	X
ap-6083	335	93	nlh	nlh	PROPN
ap-6083	335	94	non	non	ADJ
ap-6083	335	95	-	-	ADJ
ap-6083	335	96	linear	linear	ADJ
ap-6083	335	97	harmonics	harmonic	NOUN
ap-6083	335	98	p	p	NOUN
ap-6083	335	99	pressure	pressure	NOUN
ap-6083	335	100	[	[	X
ap-6083	335	101	pa	pa	X
ap-6083	335	102	]	]	X
ap-6083	335	103	s	s	PART
ap-6083	335	104	ale	ale	NOUN
ap-6083	335	105	velocity	velocity	NOUN
ap-6083	335	106	[	[	X
ap-6083	335	107	ms−1	ms−1	X
ap-6083	335	108	]	]	X
ap-6083	335	109	s	s	PART
ap-6083	335	110	blade	blade	NOUN
ap-6083	335	111	-	-	PUNCT
ap-6083	335	112	to	to	ADP
ap-6083	335	113	-	-	PUNCT
ap-6083	335	114	blade	blade	NOUN
ap-6083	335	115	spacing	spacing	NOUN
ap-6083	335	116	[	[	X
ap-6083	335	117	m	m	X
ap-6083	335	118	]	]	X
ap-6083	335	119	t	t	NOUN
ap-6083	335	120	time	time	NOUN
ap-6083	335	121	[	[	X
ap-6083	335	122	s	s	X
ap-6083	335	123	]	]	X
ap-6083	335	124	te	te	ADP
ap-6083	335	125	trailing	trail	VERB
ap-6083	335	126	edge	edge	NOUN
ap-6083	335	127	tv	tv	NOUN
ap-6083	335	128	d	d	NOUN
ap-6083	335	129	total	total	ADJ
ap-6083	335	130	-	-	PUNCT
ap-6083	335	131	variation	variation	NOUN
ap-6083	335	132	diminishing	diminish	VERB
ap-6083	335	133	u	u	NOUN
ap-6083	335	134	velocity	velocity	NOUN
ap-6083	335	135	[	[	X
ap-6083	335	136	ms−1	ms−1	X
ap-6083	335	137	]	]	X
ap-6083	335	138	w	w	NOUN
ap-6083	335	139	vector	vector	NOUN
ap-6083	335	140	of	of	ADP
ap-6083	335	141	characteristic	characteristic	ADJ
ap-6083	335	142	variables	variable	NOUN
ap-6083	335	143	w	w	ADP
ap-6083	335	144	weighting	weighting	NOUN
ap-6083	335	145	factor	factor	NOUN
ap-6083	335	146	waero	waero	PROPN
ap-6083	335	147	work	work	NOUN
ap-6083	335	148	of	of	ADP
ap-6083	335	149	aerodynamic	aerodynamic	ADJ
ap-6083	335	150	forces	force	NOUN
ap-6083	335	151	in	in	ADP
ap-6083	335	152	one	one	NUM
ap-6083	335	153	cycle	cycle	NOUN
ap-6083	335	154	[	[	X
ap-6083	335	155	j	j	X
ap-6083	335	156	]	]	X
ap-6083	335	157	x	x	X
ap-6083	335	158	,	,	PUNCT
ap-6083	335	159	y	y	PROPN
ap-6083	335	160	coordinates	coordinate	VERB
ap-6083	335	161	[	[	X
ap-6083	335	162	m	m	X
ap-6083	335	163	]	]	X
ap-6083	335	164	β	β	X
ap-6083	335	165	flow	flow	NOUN
ap-6083	335	166	angle	angle	NOUN
ap-6083	335	167	from	from	ADP
ap-6083	335	168	axial	axial	ADJ
ap-6083	335	169	[	[	X
ap-6083	335	170	deg	deg	X
ap-6083	335	171	]	]	X
ap-6083	335	172	γ	γ	X
ap-6083	335	173	stagger	stagger	NOUN
ap-6083	335	174	angle	angle	NOUN
ap-6083	335	175	from	from	ADP
ap-6083	335	176	axial	axial	ADJ
ap-6083	335	177	[	[	X
ap-6083	335	178	deg	deg	X
ap-6083	335	179	]	]	X
ap-6083	335	180	γ	γ	PROPN
ap-6083	335	181	domain	domain	NOUN
ap-6083	335	182	boundary	boundary	NOUN
ap-6083	335	183	κ	κ	PROPN
ap-6083	335	184	poisson	poisson	PROPN
ap-6083	335	185	constant	constant	ADJ
ap-6083	335	186	λ	λ	PROPN
ap-6083	335	187	reduced	reduce	VERB
ap-6083	335	188	frequency	frequency	NOUN
ap-6083	335	189	,	,	PUNCT
ap-6083	335	190	2πfc	2πfc	PROPN
ap-6083	335	191	/	/	SYM
ap-6083	335	192	uref	uref	PROPN
ap-6083	335	193	ξ	ξ	PROPN
ap-6083	335	194	limiter	limiter	NOUN
ap-6083	335	195	function	function	NOUN
ap-6083	335	196	ξ	ξ	PRON
ap-6083	335	197	aerodynamic	aerodynamic	ADJ
ap-6083	335	198	damping	damp	VERB
ap-6083	335	199	coefficient	coefficient	NOUN
ap-6083	335	200	ρ	ρ	NOUN
ap-6083	335	201	density	density	NOUN
ap-6083	335	202	[	[	X
ap-6083	335	203	kgm−3	kgm−3	X
ap-6083	335	204	]	]	X
ap-6083	335	205	σr	σr	PROPN
ap-6083	335	206	resonant	resonant	VERB
ap-6083	335	207	inter	inter	ADJ
ap-6083	335	208	-	-	ADJ
ap-6083	335	209	blade	blade	ADJ
ap-6083	335	210	phase	phase	NOUN
ap-6083	335	211	angle	angle	NOUN
ap-6083	335	212	[	[	X
ap-6083	335	213	deg	deg	X
ap-6083	335	214	]	]	X
ap-6083	335	215	φ	φ	PROPN
ap-6083	335	216	phase	phase	NOUN
ap-6083	335	217	-	-	PUNCT
ap-6083	335	218	shift	shift	NOUN
ap-6083	335	219	[	[	X
ap-6083	335	220	rad	rad	X
ap-6083	335	221	]	]	X
ap-6083	335	222	ω	ω	NUM
ap-6083	335	223	computational	computational	ADJ
ap-6083	335	224	domain	domain	NOUN
ap-6083	335	225	0	0	NUM
ap-6083	335	226	stagnation	stagnation	NOUN
ap-6083	335	227	1	1	NUM
ap-6083	335	228	inlet	inlet	VERB
ap-6083	335	229	2	2	NUM
ap-6083	335	230	outlet	outlet	NOUN
ap-6083	335	231	is	be	AUX
ap-6083	335	232	isentropic	isentropic	PROPN
ap-6083	335	233	t	t	PROPN
ap-6083	335	234	total	total	ADJ
ap-6083	335	235	ref	ref	NOUN
ap-6083	335	236	reference	reference	NOUN
ap-6083	335	237	w	w	PROPN
ap-6083	335	238	wall	wall	PROPN
ap-6083	335	239	l	l	PROPN
ap-6083	335	240	lower	low	ADJ
ap-6083	335	241	u	u	NOUN
ap-6083	335	242	upper	upper	ADJ
ap-6083	335	243	per	per	ADP
ap-6083	335	244	periodic	periodic	ADJ
ap-6083	335	245	r	r	NOUN
ap-6083	335	246	relative	relative	NOUN
ap-6083	335	247	c	c	PROPN
ap-6083	335	248	convective	convective	NOUN
ap-6083	335	249	p	p	NOUN
ap-6083	335	250	pressure	pressure	NOUN
ap-6083	335	251	1/2	1/2	NUM
ap-6083	335	252	cell	cell	NOUN
ap-6083	335	253	interface	interface	NOUN
ap-6083	335	254	l	l	NOUN
ap-6083	335	255	left	leave	VERB
ap-6083	335	256	r	r	PROPN
ap-6083	335	257	right	right	PROPN
ap-6083	335	258	vtx	vtx	PROPN
ap-6083	335	259	vertex	vertex	PROPN
ap-6083	335	260	s	s	PART
ap-6083	335	261	static	static	PROPN
ap-6083	335	262	η	η	PROPN
ap-6083	335	263	tangential	tangential	PROPN
ap-6083	335	264	ξ	ξ	PROPN
ap-6083	335	265	axial	axial	ADJ
ap-6083	335	266	references	reference	NOUN
ap-6083	335	267	[	[	X
ap-6083	335	268	1	1	NUM
ap-6083	335	269	]	]	PUNCT
ap-6083	335	270	p.	p.	NOUN
ap-6083	335	271	petrie	petrie	NOUN
ap-6083	335	272	-	-	PUNCT
ap-6083	335	273	repar	repar	NOUN
ap-6083	335	274	,	,	PUNCT
ap-6083	335	275	v.	v.	PROPN
ap-6083	335	276	makhnov	makhnov	PROPN
ap-6083	335	277	,	,	PUNCT
ap-6083	335	278	n.	n.	PROPN
ap-6083	335	279	shabrov	shabrov	PROPN
ap-6083	335	280	,	,	PUNCT
ap-6083	335	281	et	et	PROPN
ap-6083	335	282	al	al	PROPN
ap-6083	335	283	.	.	PROPN
ap-6083	336	1	advanced	advanced	PROPN
ap-6083	336	2	flutter	flutter	NOUN
ap-6083	336	3	analysis	analysis	NOUN
ap-6083	336	4	of	of	ADP
ap-6083	336	5	a	a	DET
ap-6083	336	6	long	long	ADJ
ap-6083	336	7	shrouded	shrouded	ADJ
ap-6083	336	8	steam	steam	NOUN
ap-6083	336	9	turbine	turbine	NOUN
ap-6083	336	10	blade	blade	NOUN
ap-6083	336	11	.	.	PUNCT
ap-6083	337	1	vol	vol	NOUN
ap-6083	337	2	.	.	PUNCT
ap-6083	338	1	volume	volume	NOUN
ap-6083	338	2	7b	7b	NUM
ap-6083	338	3	:	:	PUNCT
ap-6083	338	4	structures	structure	NOUN
ap-6083	338	5	and	and	CCONJ
ap-6083	338	6	dynamics	dynamic	NOUN
ap-6083	338	7	of	of	ADP
ap-6083	338	8	turbo	turbo	NOUN
ap-6083	338	9	expo	expo	NOUN
ap-6083	338	10	:	:	PUNCT
ap-6083	339	1	power	power	NOUN
ap-6083	339	2	for	for	ADP
ap-6083	339	3	land	land	NOUN
ap-6083	339	4	,	,	PUNCT
ap-6083	339	5	sea	sea	NOUN
ap-6083	339	6	,	,	PUNCT
ap-6083	339	7	and	and	CCONJ
ap-6083	339	8	air	air	NOUN
ap-6083	339	9	.	.	PUNCT
ap-6083	340	1	2014	2014	NUM
ap-6083	340	2	.	.	PUNCT
ap-6083	341	1	v07bt35a022	v07bt35a022	PROPN
ap-6083	341	2	,	,	PUNCT
ap-6083	341	3	doi:10.1115	doi:10.1115	NOUN
ap-6083	341	4	/	/	SYM
ap-6083	341	5	gt2014	gt2014	NOUN
ap-6083	341	6	-	-	PUNCT
ap-6083	341	7	26874	26874	NUM
ap-6083	341	8	.	.	PUNCT
ap-6083	342	1	[	[	X
ap-6083	342	2	2	2	X
ap-6083	342	3	]	]	PUNCT
ap-6083	342	4	w.	w.	PROPN
ap-6083	342	5	höhn	höhn	PROPN
ap-6083	342	6	.	.	PUNCT
ap-6083	343	1	numerical	numerical	ADJ
ap-6083	343	2	investigation	investigation	NOUN
ap-6083	343	3	of	of	ADP
ap-6083	343	4	blade	blade	NOUN
ap-6083	343	5	flutter	flutter	NOUN
ap-6083	343	6	at	at	ADP
ap-6083	343	7	or	or	CCONJ
ap-6083	343	8	near	near	ADP
ap-6083	343	9	stall	stall	NOUN
ap-6083	343	10	in	in	ADP
ap-6083	343	11	axial	axial	ADJ
ap-6083	343	12	turbomachines	turbomachine	NOUN
ap-6083	343	13	.	.	PUNCT
ap-6083	344	1	ph.d	ph.d	PROPN
ap-6083	344	2	.	.	PUNCT
ap-6083	345	1	thesis	thesis	NOUN
ap-6083	345	2	,	,	PUNCT
ap-6083	345	3	royal	royal	PROPN
ap-6083	345	4	institute	institute	PROPN
ap-6083	345	5	of	of	ADP
ap-6083	345	6	technology	technology	PROPN
ap-6083	345	7	,	,	PUNCT
ap-6083	345	8	stockholm	stockholm	PROPN
ap-6083	345	9	,	,	PUNCT
ap-6083	345	10	sweden	sweden	PROPN
ap-6083	345	11	,	,	PUNCT
ap-6083	345	12	2012	2012	NUM
ap-6083	345	13	.	.	PUNCT
ap-6083	346	1	[	[	X
ap-6083	346	2	3	3	NUM
ap-6083	346	3	]	]	X
ap-6083	346	4	i.	i.	NOUN
ap-6083	346	5	mcbean	mcbean	PROPN
ap-6083	346	6	,	,	PUNCT
ap-6083	346	7	k.	k.	PROPN
ap-6083	346	8	hourigan	hourigan	PROPN
ap-6083	346	9	,	,	PUNCT
ap-6083	346	10	m.	m.	NOUN
ap-6083	346	11	thompson	thompson	PROPN
ap-6083	346	12	,	,	PUNCT
ap-6083	346	13	f.	f.	PROPN
ap-6083	346	14	liu	liu	PROPN
ap-6083	346	15	.	.	PUNCT
ap-6083	346	16	prediction	prediction	NOUN
ap-6083	346	17	of	of	ADP
ap-6083	346	18	flutter	flutter	NOUN
ap-6083	346	19	of	of	ADP
ap-6083	346	20	turbine	turbine	NOUN
ap-6083	346	21	blades	blade	NOUN
ap-6083	346	22	in	in	ADP
ap-6083	346	23	a	a	DET
ap-6083	346	24	transonic	transonic	ADJ
ap-6083	346	25	annular	annular	ADJ
ap-6083	346	26	cascade	cascade	NOUN
ap-6083	346	27	.	.	PUNCT
ap-6083	347	1	journal	journal	NOUN
ap-6083	347	2	of	of	ADP
ap-6083	347	3	fluids	fluid	NOUN
ap-6083	347	4	engineering	engineer	VERB
ap-6083	347	5	127(6):1053–1058	127(6):1053–1058	NUM
ap-6083	347	6	,	,	PUNCT
ap-6083	347	7	2005	2005	NUM
ap-6083	347	8	.	.	PUNCT
ap-6083	348	1	doi:10.1115/1.2060731	doi:10.1115/1.2060731	NOUN
ap-6083	348	2	.	.	PUNCT
ap-6083	349	1	[	[	X
ap-6083	349	2	4	4	NUM
ap-6083	349	3	]	]	PUNCT
ap-6083	349	4	p.-a	p.-a	NOUN
ap-6083	349	5	.	.	PUNCT
ap-6083	349	6	masserey	masserey	PROPN
ap-6083	349	7	,	,	PUNCT
ap-6083	349	8	i.	i.	PROPN
ap-6083	349	9	mcbean	mcbean	PROPN
ap-6083	349	10	,	,	PUNCT
ap-6083	349	11	h.	h.	PROPN
ap-6083	349	12	lorini	lorini	PROPN
ap-6083	349	13	.	.	PUNCT
ap-6083	350	1	analysis	analysis	NOUN
ap-6083	350	2	and	and	CCONJ
ap-6083	350	3	improvement	improvement	NOUN
ap-6083	350	4	of	of	ADP
ap-6083	350	5	vibrational	vibrational	ADJ
ap-6083	350	6	behaviour	behaviour	NOUN
ap-6083	350	7	on	on	ADP
ap-6083	350	8	the	the	DET
ap-6083	350	9	nd37	nd37	PROPN
ap-6083	350	10	a	a	DET
ap-6083	350	11	last	last	ADJ
ap-6083	350	12	stage	stage	NOUN
ap-6083	350	13	blade	blade	NOUN
ap-6083	350	14	.	.	PUNCT
ap-6083	351	1	vgb	vgb	PROPN
ap-6083	351	2	powertech	powertech	PROPN
ap-6083	351	3	journal	journal	PROPN
ap-6083	351	4	92:42–48	92:42–48	PROPN
ap-6083	351	5	,	,	PUNCT
ap-6083	351	6	2012	2012	NUM
ap-6083	351	7	.	.	PUNCT
ap-6083	352	1	[	[	X
ap-6083	352	2	5	5	X
ap-6083	352	3	]	]	PUNCT
ap-6083	352	4	p.	p.	NOUN
ap-6083	352	5	sváček	sváček	PROPN
ap-6083	352	6	,	,	PUNCT
ap-6083	352	7	m.	m.	NOUN
ap-6083	352	8	feistauer	feistauer	PROPN
ap-6083	352	9	,	,	PUNCT
ap-6083	352	10	j.	j.	PROPN
ap-6083	352	11	horáček	horáček	PROPN
ap-6083	352	12	.	.	PUNCT
ap-6083	353	1	numerical	numerical	PROPN
ap-6083	353	2	simulation	simulation	PROPN
ap-6083	353	3	of	of	ADP
ap-6083	353	4	flow	flow	NOUN
ap-6083	353	5	induced	induce	VERB
ap-6083	353	6	airfoil	airfoil	NOUN
ap-6083	353	7	vibrations	vibration	NOUN
ap-6083	353	8	with	with	ADP
ap-6083	353	9	large	large	ADJ
ap-6083	353	10	amplitudes	amplitude	NOUN
ap-6083	353	11	.	.	PUNCT
ap-6083	354	1	journal	journal	NOUN
ap-6083	354	2	of	of	ADP
ap-6083	354	3	fluids	fluid	NOUN
ap-6083	354	4	and	and	CCONJ
ap-6083	354	5	structures	structure	NOUN
ap-6083	354	6	23(3):391	23(3):391	NUM
ap-6083	354	7	–	–	PUNCT
ap-6083	354	8	411	411	NUM
ap-6083	354	9	,	,	PUNCT
ap-6083	354	10	2007	2007	NUM
ap-6083	354	11	.	.	PUNCT
ap-6083	355	1	doi:10.1016	doi:10.1016	PROPN
ap-6083	355	2	/	/	SYM
ap-6083	355	3	j.jfluidstructs.2006.10.005	j.jfluidstructs.2006.10.005	PROPN
ap-6083	355	4	.	.	PUNCT
ap-6083	356	1	[	[	X
ap-6083	356	2	6	6	NUM
ap-6083	356	3	]	]	X
ap-6083	356	4	b.	b.	PROPN
ap-6083	356	5	perry	perry	PROPN
ap-6083	356	6	.	.	PUNCT
ap-6083	357	1	report	report	VERB
ap-6083	357	2	no	no	INTJ
ap-6083	357	3	.	.	PROPN
ap-6083	358	1	496	496	NUM
ap-6083	358	2	:	:	PUNCT
ap-6083	358	3	general	general	ADJ
ap-6083	358	4	theory	theory	NOUN
ap-6083	358	5	of	of	ADP
ap-6083	358	6	aerodynamic	aerodynamic	ADJ
ap-6083	358	7	instability	instability	NOUN
ap-6083	358	8	and	and	CCONJ
ap-6083	358	9	the	the	DET
ap-6083	358	10	mechanism	mechanism	NOUN
ap-6083	358	11	of	of	ADP
ap-6083	358	12	flutter	flutter	NOUN
ap-6083	358	13	.	.	PUNCT
ap-6083	359	1	technical	technical	ADJ
ap-6083	359	2	report	report	PROPN
ap-6083	359	3	,	,	PUNCT
ap-6083	359	4	nasa	nasa	PROPN
ap-6083	359	5	.	.	PUNCT
ap-6083	360	1	langley	langley	PROPN
ap-6083	360	2	research	research	PROPN
ap-6083	360	3	center	center	PROPN
ap-6083	360	4	,	,	PUNCT
ap-6083	360	5	hampton	hampton	PROPN
ap-6083	360	6	,	,	PUNCT
ap-6083	360	7	virginia	virginia	PROPN
ap-6083	360	8	,	,	PUNCT
ap-6083	360	9	united	united	PROPN
ap-6083	360	10	states	states	PROPN
ap-6083	360	11	,	,	PUNCT
ap-6083	360	12	2015	2015	NUM
ap-6083	360	13	.	.	PUNCT
ap-6083	361	1	[	[	X
ap-6083	361	2	7	7	X
ap-6083	361	3	]	]	X
ap-6083	361	4	h.	h.	PROPN
ap-6083	361	5	doi	doi	PROPN
ap-6083	361	6	,	,	PUNCT
ap-6083	361	7	j.	j.	PROPN
ap-6083	361	8	j.	j.	PROPN
ap-6083	361	9	alonso	alonso	PROPN
ap-6083	361	10	.	.	PUNCT
ap-6083	361	11	fluid	fluid	ADJ
ap-6083	361	12	/	/	SYM
ap-6083	361	13	structure	structure	NOUN
ap-6083	361	14	coupled	couple	VERB
ap-6083	361	15	aeroelastic	aeroelastic	ADJ
ap-6083	361	16	computations	computation	NOUN
ap-6083	361	17	for	for	ADP
ap-6083	361	18	transonic	transonic	ADJ
ap-6083	361	19	flows	flow	NOUN
ap-6083	361	20	in	in	ADP
ap-6083	361	21	turbomachinery	turbomachinery	NOUN
ap-6083	361	22	.	.	PUNCT
ap-6083	362	1	vol	vol	NOUN
ap-6083	362	2	.	.	PROPN
ap-6083	363	1	4	4	NUM
ap-6083	363	2	:	:	PUNCT
ap-6083	363	3	turbo	turbo	NOUN
ap-6083	363	4	expo	expo	NOUN
ap-6083	363	5	2002	2002	NUM
ap-6083	363	6	,	,	PUNCT
ap-6083	363	7	parts	part	NOUN
ap-6083	363	8	a	a	PRON
ap-6083	363	9	and	and	CCONJ
ap-6083	363	10	b	b	NOUN
ap-6083	363	11	of	of	ADP
ap-6083	363	12	turbo	turbo	NOUN
ap-6083	363	13	expo	expo	NOUN
ap-6083	363	14	:	:	PUNCT
ap-6083	363	15	power	power	NOUN
ap-6083	363	16	for	for	ADP
ap-6083	363	17	land	land	NOUN
ap-6083	363	18	,	,	PUNCT
ap-6083	363	19	sea	sea	NOUN
ap-6083	363	20	,	,	PUNCT
ap-6083	363	21	and	and	CCONJ
ap-6083	363	22	air	air	NOUN
ap-6083	363	23	,	,	PUNCT
ap-6083	363	24	pp	pp	ADJ
ap-6083	363	25	.	.	PUNCT
ap-6083	364	1	787–794	787–794	NUM
ap-6083	364	2	.	.	PUNCT
ap-6083	365	1	2002	2002	NUM
ap-6083	365	2	.	.	PUNCT
ap-6083	366	1	doi:10.1115	doi:10.1115	NOUN
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ap-6083	366	6	.	.	PUNCT
ap-6083	367	1	[	[	X
ap-6083	367	2	8	8	NUM
ap-6083	367	3	]	]	X
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ap-6083	367	5	kamakoti	kamakoti	PROPN
ap-6083	367	6	,	,	PUNCT
ap-6083	367	7	w.	w.	NOUN
ap-6083	367	8	shyy	shyy	PROPN
ap-6083	367	9	.	.	PUNCT
ap-6083	368	1	fluid	fluid	ADJ
ap-6083	368	2	-	-	PUNCT
ap-6083	368	3	structure	structure	NOUN
ap-6083	368	4	interaction	interaction	NOUN
ap-6083	368	5	for	for	ADP
ap-6083	368	6	aeroelastic	aeroelastic	ADJ
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ap-6083	368	8	.	.	PUNCT
ap-6083	369	1	progress	progress	NOUN
ap-6083	369	2	in	in	ADP
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ap-6083	369	4	sciences	science	NOUN
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ap-6083	369	6	,	,	PUNCT
ap-6083	369	7	2005	2005	NUM
ap-6083	369	8	.	.	PUNCT
ap-6083	370	1	doi:10.1016	doi:10.1016	PROPN
ap-6083	370	2	/	/	SYM
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ap-6083	370	4	.	.	PUNCT
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ap-6083	371	2	9	9	NUM
ap-6083	371	3	]	]	X
ap-6083	371	4	w.	w.	PROPN
ap-6083	371	5	ning	ning	PROPN
ap-6083	371	6	,	,	PUNCT
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ap-6083	371	9	.	.	PUNCT
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ap-6083	372	2	of	of	ADP
ap-6083	372	3	unsteady	unsteady	ADJ
ap-6083	372	4	flows	flow	NOUN
ap-6083	372	5	around	around	ADP
ap-6083	372	6	oscillating	oscillate	VERB
ap-6083	372	7	blades	blade	NOUN
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ap-6083	372	9	linear	linear	PROPN
ap-6083	372	10	and	and	CCONJ
ap-6083	372	11	nonlinear	nonlinear	ADJ
ap-6083	372	12	harmonic	harmonic	PROPN
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ap-6083	372	15	.	.	PUNCT
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ap-6083	373	2	of	of	ADP
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ap-6083	373	5	,	,	PUNCT
ap-6083	373	6	1998	1998	NUM
ap-6083	373	7	.	.	PUNCT
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ap-6083	374	2	.	.	PUNCT
ap-6083	375	1	145	145	NUM
ap-6083	375	2	http://dx.doi.org/10.1115/gt2014-26874	http://dx.doi.org/10.1115/gt2014-26874	PROPN
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ap-6083	375	5	http://dx.doi.org/10.1115/gt2002-30313	http://dx.doi.org/10.1115/gt2002-30313	PROPN
ap-6083	375	6	http://dx.doi.org/10.1016/j.paerosci.2005.01.001	http://dx.doi.org/10.1016/j.paerosci.2005.01.001	PROPN
ap-6083	375	7	http://dx.doi.org/10.1115/1.2841747	http://dx.doi.org/10.1115/1.2841747	PROPN
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ap-6083	375	13	acta	acta	PROPN
ap-6083	375	14	polytechnica	polytechnica	PROPN
ap-6083	376	1	[	[	X
ap-6083	376	2	10	10	NUM
ap-6083	376	3	]	]	X
ap-6083	376	4	j.	j.	PROPN
ap-6083	376	5	donea	donea	PROPN
ap-6083	376	6	,	,	PUNCT
ap-6083	376	7	s.	s.	PROPN
ap-6083	376	8	giuliani	giuliani	PROPN
ap-6083	376	9	,	,	PUNCT
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ap-6083	376	11	halleux	halleux	PROPN
ap-6083	376	12	.	.	PUNCT
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ap-6083	377	3	lagrangian	lagrangian	ADJ
ap-6083	377	4	-	-	PUNCT
ap-6083	377	5	eulerian	eulerian	ADJ
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ap-6083	377	7	element	element	NOUN
ap-6083	377	8	method	method	NOUN
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ap-6083	377	12	fluid	fluid	NOUN
ap-6083	377	13	-	-	PUNCT
ap-6083	377	14	structure	structure	NOUN
ap-6083	377	15	interactions	interaction	NOUN
ap-6083	377	16	.	.	PUNCT
ap-6083	378	1	computer	computer	NOUN
ap-6083	378	2	methods	method	NOUN
ap-6083	378	3	in	in	ADP
ap-6083	378	4	applied	applied	ADJ
ap-6083	378	5	mechanics	mechanic	NOUN
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ap-6083	378	8	33(1):689	33(1):689	PROPN
ap-6083	378	9	–	–	PUNCT
ap-6083	378	10	723	723	NUM
ap-6083	378	11	,	,	PUNCT
ap-6083	378	12	1982	1982	NUM
ap-6083	378	13	.	.	PUNCT
ap-6083	379	1	doi:10.1016/0045	doi:10.1016/0045	ADJ
ap-6083	379	2	-	-	PUNCT
ap-6083	379	3	7825(82)90128	7825(82)90128	NUM
ap-6083	379	4	-	-	PUNCT
ap-6083	379	5	1	1	NUM
ap-6083	379	6	.	.	PUNCT
ap-6083	380	1	[	[	X
ap-6083	380	2	11	11	NUM
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ap-6083	380	9	.	.	PUNCT
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ap-6083	381	3	geometric	geometric	ADJ
ap-6083	381	4	conservation	conservation	NOUN
ap-6083	381	5	laws	law	NOUN
ap-6083	381	6	for	for	ADP
ap-6083	381	7	ale	ale	NOUN
ap-6083	381	8	formulations	formulation	NOUN
ap-6083	381	9	.	.	PUNCT
ap-6083	382	1	computer	computer	NOUN
ap-6083	382	2	methods	method	NOUN
ap-6083	382	3	in	in	ADP
ap-6083	382	4	applied	applied	ADJ
ap-6083	382	5	mechanics	mechanic	NOUN
ap-6083	382	6	and	and	CCONJ
ap-6083	382	7	engineering	engineer	VERB
ap-6083	382	8	193(42):4717	193(42):4717	PROPN
ap-6083	382	9	–	–	PUNCT
ap-6083	382	10	4739	4739	NUM
ap-6083	382	11	,	,	PUNCT
ap-6083	382	12	2004	2004	NUM
ap-6083	382	13	.	.	PUNCT
ap-6083	383	1	doi:10.1016	doi:10.1016	PROPN
ap-6083	383	2	/	/	SYM
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ap-6083	383	4	.	.	PUNCT
ap-6083	384	1	[	[	X
ap-6083	384	2	12	12	NUM
ap-6083	384	3	]	]	PUNCT
ap-6083	384	4	p.	p.	PROPN
ap-6083	384	5	h.	h.	PROPN
ap-6083	384	6	saksono	saksono	PROPN
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ap-6083	384	8	w.	w.	PROPN
ap-6083	384	9	g.	g.	PROPN
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ap-6083	384	12	d.	d.	PROPN
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ap-6083	384	14	.	.	PUNCT
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ap-6083	385	3	remeshing	remeshing	NOUN
ap-6083	385	4	strategy	strategy	NOUN
ap-6083	385	5	for	for	ADP
ap-6083	385	6	flows	flow	NOUN
ap-6083	385	7	with	with	ADP
ap-6083	385	8	moving	move	VERB
ap-6083	385	9	boundaries	boundary	NOUN
ap-6083	385	10	and	and	CCONJ
ap-6083	385	11	fluid	fluid	ADJ
ap-6083	385	12	-	-	PUNCT
ap-6083	385	13	structure	structure	NOUN
ap-6083	385	14	interaction	interaction	NOUN
ap-6083	385	15	.	.	PUNCT
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ap-6083	386	2	journal	journal	PROPN
ap-6083	386	3	for	for	ADP
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ap-6083	386	5	methods	method	NOUN
ap-6083	386	6	in	in	ADP
ap-6083	386	7	engineering	engineering	NOUN
ap-6083	386	8	71(9):1009–1050	71(9):1009–1050	NUM
ap-6083	386	9	,	,	PUNCT
ap-6083	386	10	2007	2007	NUM
ap-6083	386	11	.	.	PUNCT
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ap-6083	387	2	/	/	SYM
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ap-6083	387	4	.	.	PUNCT
ap-6083	388	1	[	[	X
ap-6083	388	2	13	13	NUM
ap-6083	388	3	]	]	PUNCT
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ap-6083	388	9	,	,	PUNCT
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ap-6083	388	12	.	.	PROPN
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ap-6083	388	14	solid	solid	ADJ
ap-6083	388	15	mechanics	mechanic	NOUN
ap-6083	388	16	using	use	VERB
ap-6083	388	17	finite	finite	ADJ
ap-6083	388	18	volume	volume	NOUN
ap-6083	388	19	methods	method	NOUN
ap-6083	388	20	.	.	PUNCT
ap-6083	389	1	applied	apply	VERB
ap-6083	389	2	mathematical	mathematical	ADJ
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ap-6083	389	7	,	,	PUNCT
ap-6083	389	8	2003	2003	NUM
ap-6083	389	9	.	.	PUNCT
ap-6083	390	1	doi:10.1016	doi:10.1016	PROPN
ap-6083	390	2	/	/	SYM
ap-6083	390	3	s0307	s0307	PROPN
ap-6083	390	4	-	-	PUNCT
ap-6083	390	5	904x(02)00060	904x(02)00060	NUM
ap-6083	390	6	-	-	PUNCT
ap-6083	390	7	4	4	NUM
ap-6083	390	8	.	.	PUNCT
ap-6083	391	1	[	[	X
ap-6083	391	2	14	14	NUM
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ap-6083	391	4	n.	n.	PROPN
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ap-6083	391	6	.	.	PROPN
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ap-6083	392	5	flutter	flutter	NOUN
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ap-6083	392	7	.	.	PUNCT
ap-6083	393	1	ph.d	ph.d	PROPN
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ap-6083	394	2	,	,	PUNCT
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ap-6083	394	4	di	di	PROPN
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ap-6083	394	6	,	,	PUNCT
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ap-6083	394	8	di	di	PROPN
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ap-6083	394	10	industriale	industriale	NOUN
ap-6083	394	11	,	,	PUNCT
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ap-6083	394	13	,	,	PUNCT
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ap-6083	394	17	.	.	PUNCT
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ap-6083	395	6	,	,	PUNCT
ap-6083	395	7	y.	y.	PROPN
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ap-6083	395	9	,	,	PUNCT
ap-6083	395	10	f.	f.	PROPN
ap-6083	395	11	sicot	sicot	PROPN
ap-6083	395	12	.	.	PUNCT
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ap-6083	396	2	flutter	flutter	PROPN
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ap-6083	396	8	on	on	ADP
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ap-6083	396	10	-	-	PUNCT
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ap-6083	396	14	-	-	PUNCT
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ap-6083	396	17	time	time	NOUN
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ap-6083	396	21	.	.	PUNCT
ap-6083	397	1	in	in	ADP
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ap-6083	398	2	.	.	PUNCT
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ap-6083	399	3	]	]	PUNCT
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ap-6083	399	6	,	,	PUNCT
ap-6083	399	7	k.	k.	PROPN
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ap-6083	399	9	,	,	PUNCT
ap-6083	399	10	c.	c.	PROPN
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ap-6083	399	12	,	,	PUNCT
ap-6083	399	13	m.	m.	PROPN
ap-6083	399	14	cross	cross	PROPN
ap-6083	399	15	.	.	PROPN
ap-6083	399	16	dynamic	dynamic	ADJ
ap-6083	399	17	fluid	fluid	NOUN
ap-6083	399	18	-	-	PUNCT
ap-6083	399	19	structure	structure	NOUN
ap-6083	399	20	interaction	interaction	NOUN
ap-6083	399	21	using	use	VERB
ap-6083	399	22	finite	finite	ADJ
ap-6083	399	23	volume	volume	NOUN
ap-6083	399	24	unstructured	unstructured	ADJ
ap-6083	399	25	mesh	mesh	NOUN
ap-6083	399	26	procedures	procedure	NOUN
ap-6083	399	27	.	.	PUNCT
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ap-6083	400	2	&	&	CCONJ
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ap-6083	400	6	390	390	NUM
ap-6083	400	7	,	,	PUNCT
ap-6083	400	8	2002	2002	NUM
ap-6083	400	9	.	.	PUNCT
ap-6083	401	1	doi:10.1016	doi:10.1016	PROPN
ap-6083	401	2	/	/	SYM
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ap-6083	401	4	-	-	PUNCT
ap-6083	401	5	7949(01)00177	7949(01)00177	NOUN
ap-6083	401	6	-	-	NOUN
ap-6083	401	7	8	8	NUM
ap-6083	401	8	.	.	PUNCT
ap-6083	402	1	[	[	X
ap-6083	402	2	17	17	NUM
ap-6083	402	3	]	]	X
ap-6083	402	4	r.	r.	X
ap-6083	402	5	rzadkowski	rzadkowski	PROPN
ap-6083	402	6	,	,	PUNCT
ap-6083	402	7	v.	v.	ADP
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ap-6083	402	9	.	.	PUNCT
ap-6083	403	1	3	3	NUM
ap-6083	403	2	-	-	SYM
ap-6083	403	3	d	d	ADV
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ap-6083	403	6	-	-	PUNCT
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ap-6083	403	8	vibrations	vibration	NOUN
ap-6083	403	9	of	of	ADP
ap-6083	403	10	a	a	DET
ap-6083	403	11	blade	blade	NOUN
ap-6083	403	12	row	row	NOUN
ap-6083	403	13	in	in	ADP
ap-6083	403	14	the	the	DET
ap-6083	403	15	last	last	ADJ
ap-6083	403	16	stage	stage	NOUN
ap-6083	403	17	turbine	turbine	NOUN
ap-6083	403	18	.	.	PUNCT
ap-6083	404	1	journal	journal	PROPN
ap-6083	404	2	of	of	ADP
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ap-6083	404	4	and	and	CCONJ
ap-6083	404	5	structures	structure	NOUN
ap-6083	404	6	23(6):858	23(6):858	NOUN
ap-6083	404	7	–	–	PUNCT
ap-6083	404	8	873	873	NUM
ap-6083	404	9	,	,	PUNCT
ap-6083	404	10	2007	2007	NUM
ap-6083	404	11	.	.	PUNCT
ap-6083	405	1	doi:10.1016	doi:10.1016	PROPN
ap-6083	405	2	/	/	SYM
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ap-6083	406	2	18	18	NUM
ap-6083	406	3	]	]	X
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ap-6083	406	6	,	,	PUNCT
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ap-6083	406	8	kolodyazhnaya	kolodyazhnaya	PROPN
ap-6083	406	9	,	,	PUNCT
ap-6083	406	10	r.	r.	PROPN
ap-6083	406	11	rzadkowski	rzadkowski	PROPN
ap-6083	406	12	.	.	PUNCT
ap-6083	407	1	a	a	DET
ap-6083	407	2	numerical	numerical	ADJ
ap-6083	407	3	modelling	modelling	NOUN
ap-6083	407	4	of	of	ADP
ap-6083	407	5	stator	stator	NOUN
ap-6083	407	6	-	-	PUNCT
ap-6083	407	7	rotor	rotor	NOUN
ap-6083	407	8	interaction	interaction	NOUN
ap-6083	407	9	in	in	ADP
ap-6083	407	10	a	a	DET
ap-6083	407	11	turbine	turbine	NOUN
ap-6083	407	12	stage	stage	NOUN
ap-6083	407	13	with	with	ADP
ap-6083	407	14	oscillating	oscillate	VERB
ap-6083	407	15	blades	blade	NOUN
ap-6083	407	16	.	.	PUNCT
ap-6083	408	1	journal	journal	PROPN
ap-6083	408	2	of	of	ADP
ap-6083	408	3	fluids	fluid	NOUN
ap-6083	408	4	and	and	CCONJ
ap-6083	408	5	structures	structure	NOUN
ap-6083	408	6	19(8):1141	19(8):1141	NUM
ap-6083	408	7	–	–	PUNCT
ap-6083	408	8	1153	1153	NUM
ap-6083	408	9	,	,	PUNCT
ap-6083	408	10	2004	2004	NUM
ap-6083	408	11	.	.	PUNCT
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ap-6083	409	2	/	/	SYM
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ap-6083	409	4	.	.	PUNCT
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ap-6083	410	2	19	19	NUM
ap-6083	410	3	]	]	PUNCT
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ap-6083	410	5	.	.	PUNCT
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ap-6083	410	8	c.	c.	PROPN
ap-6083	410	9	j.	j.	PROPN
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ap-6083	410	11	.	.	PUNCT
ap-6083	411	1	a	a	DET
ap-6083	411	2	new	new	ADJ
ap-6083	411	3	flux	flux	NOUN
ap-6083	411	4	splitting	splitting	NOUN
ap-6083	411	5	scheme	scheme	NOUN
ap-6083	411	6	.	.	PUNCT
ap-6083	412	1	journal	journal	NOUN
ap-6083	412	2	of	of	ADP
ap-6083	412	3	computational	computational	ADJ
ap-6083	412	4	physics	physic	NOUN
ap-6083	412	5	107(1):23	107(1):23	NUM
ap-6083	412	6	–	–	PUNCT
ap-6083	412	7	39	39	NUM
ap-6083	412	8	,	,	PUNCT
ap-6083	412	9	1993	1993	NUM
ap-6083	412	10	.	.	PUNCT
ap-6083	413	1	doi:10.1006	doi:10.1006	PROPN
ap-6083	413	2	/	/	SYM
ap-6083	413	3	jcph.1993.1122	jcph.1993.1122	PROPN
ap-6083	413	4	.	.	PUNCT
ap-6083	414	1	[	[	X
ap-6083	414	2	20	20	NUM
ap-6083	414	3	]	]	PUNCT
ap-6083	414	4	b.	b.	PROPN
ap-6083	414	5	van	van	PROPN
ap-6083	414	6	leer	leer	PROPN
ap-6083	414	7	.	.	PUNCT
ap-6083	415	1	towards	towards	ADP
ap-6083	415	2	the	the	DET
ap-6083	415	3	ultimate	ultimate	ADJ
ap-6083	415	4	conservative	conservative	ADJ
ap-6083	415	5	difference	difference	NOUN
ap-6083	415	6	scheme	scheme	NOUN
ap-6083	415	7	.	.	PUNCT
ap-6083	416	1	v.	v.	ADP
ap-6083	416	2	a	a	DET
ap-6083	416	3	second	second	ADJ
ap-6083	416	4	-	-	PUNCT
ap-6083	416	5	order	order	NOUN
ap-6083	416	6	sequel	sequel	NOUN
ap-6083	416	7	to	to	PART
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ap-6083	416	9	’s	’s	PART
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ap-6083	416	11	.	.	PUNCT
ap-6083	417	1	journal	journal	NOUN
ap-6083	417	2	of	of	ADP
ap-6083	417	3	computational	computational	ADJ
ap-6083	417	4	physics	physics	NOUN
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ap-6083	417	6	–	–	PUNCT
ap-6083	417	7	136	136	NUM
ap-6083	417	8	,	,	PUNCT
ap-6083	417	9	1979	1979	NUM
ap-6083	417	10	.	.	PUNCT
ap-6083	418	1	doi:10.1016/0021	doi:10.1016/0021	VERB
ap-6083	418	2	-	-	PUNCT
ap-6083	418	3	9991(79)90145	9991(79)90145	NUM
ap-6083	418	4	-	-	PUNCT
ap-6083	418	5	1	1	NUM
ap-6083	418	6	.	.	PUNCT
ap-6083	419	1	[	[	X
ap-6083	419	2	21	21	NUM
ap-6083	419	3	]	]	X
ap-6083	419	4	j.	j.	PROPN
ap-6083	419	5	blazek	blazek	PROPN
ap-6083	419	6	.	.	PUNCT
ap-6083	420	1	computational	computational	ADJ
ap-6083	420	2	fluid	fluid	ADJ
ap-6083	420	3	dynamics	dynamic	NOUN
ap-6083	420	4	:	:	PUNCT
ap-6083	420	5	principles	principle	NOUN
ap-6083	420	6	and	and	CCONJ
ap-6083	420	7	applications	application	NOUN
ap-6083	420	8	.	.	PUNCT
ap-6083	421	1	elsevier	elsevier	NOUN
ap-6083	421	2	,	,	PUNCT
ap-6083	421	3	2001	2001	NUM
ap-6083	421	4	.	.	PUNCT
ap-6083	422	1	[	[	X
ap-6083	422	2	22	22	NUM
ap-6083	422	3	]	]	X
ap-6083	422	4	e.	e.	PROPN
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ap-6083	422	6	,	,	PUNCT
ap-6083	422	7	c.	c.	PROPN
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ap-6083	422	9	,	,	PUNCT
ap-6083	422	10	c.	c.	PROPN
ap-6083	422	11	c.	c.	PROPN
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ap-6083	422	13	.	.	PUNCT
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ap-6083	423	2	calculation	calculation	NOUN
ap-6083	423	3	methods	method	NOUN
ap-6083	423	4	on	on	ADP
ap-6083	423	5	arbitrary	arbitrary	ADJ
ap-6083	423	6	polyhedral	polyhedral	ADJ
ap-6083	423	7	unstructured	unstructured	ADJ
ap-6083	423	8	meshes	mesh	NOUN
ap-6083	423	9	for	for	ADP
ap-6083	423	10	cell	cell	NOUN
ap-6083	423	11	-	-	PUNCT
ap-6083	423	12	centered	center	VERB
ap-6083	423	13	cfd	cfd	NOUN
ap-6083	423	14	solvers	solver	NOUN
ap-6083	423	15	.	.	PUNCT
ap-6083	424	1	in	in	ADP
ap-6083	424	2	52nd	52nd	ADJ
ap-6083	424	3	aerospace	aerospace	NOUN
ap-6083	424	4	sciences	science	NOUN
ap-6083	424	5	meeting	meeting	NOUN
ap-6083	424	6	.	.	PUNCT
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ap-6083	425	2	.	.	PUNCT
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ap-6083	426	2	-	-	PUNCT
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ap-6083	426	4	.	.	PUNCT
ap-6083	427	1	[	[	X
ap-6083	427	2	23	23	NUM
ap-6083	427	3	]	]	PUNCT
ap-6083	427	4	m.	m.	NOUN
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ap-6083	427	6	,	,	PUNCT
ap-6083	427	7	m.	m.	PROPN
ap-6083	427	8	aftosmis	aftosmis	PROPN
ap-6083	427	9	,	,	PUNCT
ap-6083	427	10	s.	s.	PROPN
ap-6083	427	11	muman	muman	PROPN
ap-6083	427	12	.	.	PUNCT
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ap-6083	428	2	of	of	ADP
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ap-6083	428	5	on	on	ADP
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ap-6083	428	8	.	.	PUNCT
ap-6083	429	1	in	in	ADP
ap-6083	429	2	43rd	43rd	PROPN
ap-6083	429	3	aiaa	aiaa	PROPN
ap-6083	429	4	aerospace	aerospace	PROPN
ap-6083	429	5	sciences	sciences	PROPN
ap-6083	429	6	meeting	meeting	NOUN
ap-6083	429	7	and	and	CCONJ
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ap-6083	429	9	.	.	PUNCT
ap-6083	430	1	2012	2012	NUM
ap-6083	430	2	.	.	PUNCT
ap-6083	431	1	doi:10.2514/6.2005	doi:10.2514/6.2005	NOUN
ap-6083	431	2	-	-	PUNCT
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ap-6083	431	4	.	.	PUNCT
ap-6083	432	1	[	[	X
ap-6083	432	2	24	24	NUM
ap-6083	432	3	]	]	X
ap-6083	432	4	d.	d.	PROPN
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ap-6083	432	6	.	.	PUNCT
ap-6083	433	1	revisiting	revisit	VERB
ap-6083	433	2	the	the	DET
ap-6083	433	3	least	least	ADJ
ap-6083	433	4	-	-	PUNCT
ap-6083	433	5	squares	square	NOUN
ap-6083	433	6	procedure	procedure	NOUN
ap-6083	433	7	for	for	ADP
ap-6083	433	8	gradient	gradient	ADJ
ap-6083	433	9	reconstruction	reconstruction	NOUN
ap-6083	433	10	on	on	ADP
ap-6083	433	11	unstructured	unstructured	ADJ
ap-6083	433	12	meshes	mesh	NOUN
ap-6083	433	13	.	.	PUNCT
ap-6083	434	1	in	in	ADP
ap-6083	434	2	16th	16th	ADJ
ap-6083	434	3	aiaa	aiaa	ADJ
ap-6083	434	4	computational	computational	ADJ
ap-6083	434	5	fluid	fluid	ADJ
ap-6083	434	6	dynamics	dynamic	NOUN
ap-6083	434	7	conference	conference	NOUN
ap-6083	434	8	.	.	PUNCT
ap-6083	435	1	2003	2003	NUM
ap-6083	435	2	.	.	PUNCT
ap-6083	436	1	doi:10.2514/6.2003	doi:10.2514/6.2003	NOUN
ap-6083	436	2	-	-	PUNCT
ap-6083	436	3	3986	3986	NUM
ap-6083	436	4	.	.	PUNCT
ap-6083	437	1	[	[	X
ap-6083	437	2	25	25	NUM
ap-6083	437	3	]	]	X
ap-6083	437	4	f.	f.	PROPN
ap-6083	437	5	mishriky	mishriky	PROPN
ap-6083	437	6	,	,	PUNCT
ap-6083	437	7	p.	p.	NOUN
ap-6083	437	8	walsh	walsh	PROPN
ap-6083	437	9	.	.	PUNCT
ap-6083	438	1	towards	towards	ADP
ap-6083	438	2	understanding	understand	VERB
ap-6083	438	3	the	the	DET
ap-6083	438	4	influence	influence	NOUN
ap-6083	438	5	of	of	ADP
ap-6083	438	6	gradient	gradient	ADJ
ap-6083	438	7	reconstruction	reconstruction	NOUN
ap-6083	438	8	methods	method	NOUN
ap-6083	438	9	on	on	ADP
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ap-6083	438	11	flowsimulations	flowsimulation	NOUN
ap-6083	438	12	.	.	PUNCT
ap-6083	439	1	transactions	transaction	NOUN
ap-6083	439	2	of	of	ADP
ap-6083	439	3	the	the	DET
ap-6083	439	4	canadian	canadian	ADJ
ap-6083	439	5	society	society	NOUN
ap-6083	439	6	for	for	ADP
ap-6083	439	7	mechanical	mechanical	ADJ
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ap-6083	439	10	,	,	PUNCT
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ap-6083	439	12	.	.	PUNCT
ap-6083	440	1	[	[	X
ap-6083	440	2	26	26	NUM
ap-6083	440	3	]	]	PUNCT
ap-6083	440	4	a.	a.	NOUN
ap-6083	440	5	syrakos	syrakos	PROPN
ap-6083	440	6	,	,	PUNCT
ap-6083	440	7	s.	s.	PROPN
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ap-6083	440	9	,	,	PUNCT
ap-6083	440	10	y.	y.	PROPN
ap-6083	440	11	dimakopoulos	dimakopoulos	PROPN
ap-6083	440	12	,	,	PUNCT
ap-6083	440	13	et	et	PROPN
ap-6083	440	14	al	al	PROPN
ap-6083	440	15	.	.	PUNCT
ap-6083	441	1	a	a	DET
ap-6083	441	2	critical	critical	ADJ
ap-6083	441	3	analysis	analysis	NOUN
ap-6083	441	4	of	of	ADP
ap-6083	441	5	some	some	DET
ap-6083	441	6	popular	popular	ADJ
ap-6083	441	7	methods	method	NOUN
ap-6083	441	8	for	for	ADP
ap-6083	441	9	the	the	DET
ap-6083	441	10	discretisation	discretisation	NOUN
ap-6083	441	11	of	of	ADP
ap-6083	441	12	the	the	DET
ap-6083	441	13	gradient	gradient	NOUN
ap-6083	441	14	operator	operator	NOUN
ap-6083	441	15	in	in	ADP
ap-6083	441	16	finite	finite	ADJ
ap-6083	441	17	volume	volume	NOUN
ap-6083	441	18	methods	method	NOUN
ap-6083	441	19	.	.	PUNCT
ap-6083	442	1	physics	physics	NOUN
ap-6083	442	2	of	of	ADP
ap-6083	442	3	fluids	fluid	NOUN
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ap-6083	442	5	,	,	PUNCT
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ap-6083	442	7	.	.	PUNCT
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ap-6083	443	2	.	.	PUNCT
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ap-6083	444	6	.	.	PUNCT
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ap-6083	445	2	slope	slope	NOUN
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ap-6083	445	4	for	for	ADP
ap-6083	445	5	muscl	muscl	NOUN
ap-6083	445	6	-	-	PUNCT
ap-6083	445	7	type	type	NOUN
ap-6083	445	8	finite	finite	ADJ
ap-6083	445	9	volume	volume	NOUN
ap-6083	445	10	schemes	scheme	NOUN
ap-6083	445	11	on	on	ADP
ap-6083	445	12	unstructured	unstructured	ADJ
ap-6083	445	13	grids	grid	NOUN
ap-6083	445	14	.	.	PUNCT
ap-6083	446	1	journal	journal	PROPN
ap-6083	446	2	of	of	ADP
ap-6083	446	3	computational	computational	ADJ
ap-6083	446	4	physics	physics	NOUN
ap-6083	446	5	155(1):54	155(1):54	NUM
ap-6083	446	6	–	–	PUNCT
ap-6083	446	7	74	74	NUM
ap-6083	446	8	,	,	PUNCT
ap-6083	446	9	1999	1999	NUM
ap-6083	446	10	.	.	PUNCT
ap-6083	447	1	doi:10.1006	doi:10.1006	PROPN
ap-6083	447	2	/	/	SYM
ap-6083	447	3	jcph.1999.6329	jcph.1999.6329	PROPN
ap-6083	447	4	.	.	PUNCT
ap-6083	448	1	[	[	X
ap-6083	448	2	28	28	NUM
ap-6083	448	3	]	]	X
ap-6083	448	4	t.	t.	PROPN
ap-6083	448	5	barth	barth	PROPN
ap-6083	448	6	,	,	PUNCT
ap-6083	448	7	d.	d.	PROPN
ap-6083	448	8	jespersen	jespersen	PROPN
ap-6083	448	9	.	.	PUNCT
ap-6083	449	1	the	the	DET
ap-6083	449	2	design	design	NOUN
ap-6083	449	3	and	and	CCONJ
ap-6083	449	4	application	application	NOUN
ap-6083	449	5	of	of	ADP
ap-6083	449	6	upwind	upwind	ADJ
ap-6083	449	7	schemes	scheme	NOUN
ap-6083	449	8	on	on	ADP
ap-6083	449	9	unstructured	unstructured	ADJ
ap-6083	449	10	meshes	mesh	NOUN
ap-6083	449	11	.	.	PUNCT
ap-6083	450	1	in	in	ADP
ap-6083	450	2	27th	27th	ADJ
ap-6083	450	3	aerospace	aerospace	NOUN
ap-6083	450	4	sciences	science	NOUN
ap-6083	450	5	meeting	meeting	NOUN
ap-6083	450	6	.	.	PUNCT
ap-6083	451	1	1989	1989	NUM
ap-6083	451	2	.	.	PUNCT
ap-6083	452	1	doi:10.2514/6.1989	doi:10.2514/6.1989	PROPN
ap-6083	452	2	-	-	PUNCT
ap-6083	452	3	366	366	NUM
ap-6083	452	4	.	.	PUNCT
ap-6083	453	1	[	[	X
ap-6083	453	2	29	29	NUM
ap-6083	453	3	]	]	PUNCT
ap-6083	453	4	v.	v.	X
ap-6083	453	5	venkatakrishnan	venkatakrishnan	NOUN
ap-6083	453	6	.	.	PUNCT
ap-6083	454	1	on	on	ADP
ap-6083	454	2	the	the	DET
ap-6083	454	3	accuracy	accuracy	NOUN
ap-6083	454	4	of	of	ADP
ap-6083	454	5	limiters	limiter	NOUN
ap-6083	454	6	and	and	CCONJ
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ap-6083	454	8	to	to	PART
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ap-6083	454	10	state	state	NOUN
ap-6083	454	11	solutions	solution	NOUN
ap-6083	454	12	.	.	PUNCT
ap-6083	455	1	in	in	ADP
ap-6083	455	2	31st	31st	ADJ
ap-6083	455	3	aerospace	aerospace	NOUN
ap-6083	455	4	sciences	science	NOUN
ap-6083	455	5	meeting	meeting	NOUN
ap-6083	455	6	.	.	PUNCT
ap-6083	456	1	1993	1993	NUM
ap-6083	456	2	.	.	PUNCT
ap-6083	457	1	doi:10.2514/6.1993	doi:10.2514/6.1993	NOUN
ap-6083	457	2	-	-	PUNCT
ap-6083	457	3	880	880	NUM
ap-6083	457	4	.	.	PUNCT
ap-6083	458	1	[	[	X
ap-6083	458	2	30	30	NUM
ap-6083	458	3	]	]	PUNCT
ap-6083	458	4	k.	k.	PROPN
ap-6083	458	5	h.	h.	PROPN
ap-6083	458	6	kim	kim	PROPN
ap-6083	458	7	,	,	PUNCT
ap-6083	458	8	c.	c.	PROPN
ap-6083	458	9	kim	kim	PROPN
ap-6083	458	10	.	.	PROPN
ap-6083	458	11	accurate	accurate	ADJ
ap-6083	458	12	,	,	PUNCT
ap-6083	458	13	efficient	efficient	ADJ
ap-6083	458	14	and	and	CCONJ
ap-6083	458	15	monotonic	monotonic	ADJ
ap-6083	458	16	numerical	numerical	ADJ
ap-6083	458	17	methods	method	NOUN
ap-6083	458	18	for	for	ADP
ap-6083	458	19	multi	multi	ADJ
ap-6083	458	20	-	-	ADJ
ap-6083	458	21	dimensional	dimensional	ADJ
ap-6083	458	22	compressible	compressible	ADJ
ap-6083	458	23	flows	flow	NOUN
ap-6083	458	24	:	:	PUNCT
ap-6083	458	25	part	part	PROPN
ap-6083	458	26	ii	ii	PROPN
ap-6083	458	27	:	:	PUNCT
ap-6083	458	28	multi	multi	ADJ
ap-6083	458	29	-	-	ADJ
ap-6083	458	30	dimensional	dimensional	ADJ
ap-6083	458	31	limiting	limiting	NOUN
ap-6083	458	32	process	process	NOUN
ap-6083	458	33	.	.	PUNCT
ap-6083	459	1	journal	journal	NOUN
ap-6083	459	2	of	of	ADP
ap-6083	459	3	computational	computational	ADJ
ap-6083	459	4	physics	physic	NOUN
ap-6083	459	5	208(2):570	208(2):570	NUM
ap-6083	459	6	–	–	PUNCT
ap-6083	459	7	615	615	NUM
ap-6083	459	8	,	,	PUNCT
ap-6083	459	9	2005	2005	NUM
ap-6083	459	10	.	.	PUNCT
ap-6083	460	1	doi:10.1016	doi:10.1016	PROPN
ap-6083	460	2	/	/	SYM
ap-6083	460	3	j.jcp.2005.02.022	j.jcp.2005.02.022	PROPN
ap-6083	460	4	.	.	PUNCT
ap-6083	461	1	[	[	X
ap-6083	461	2	31	31	NUM
ap-6083	461	3	]	]	PUNCT
ap-6083	461	4	j.	j.	PROPN
ap-6083	461	5	s.	s.	PROPN
ap-6083	461	6	park	park	PROPN
ap-6083	461	7	,	,	PUNCT
ap-6083	461	8	s.-h	s.-h	NOUN
ap-6083	461	9	.	.	PUNCT
ap-6083	462	1	yoon	yoon	PROPN
ap-6083	462	2	,	,	PUNCT
ap-6083	462	3	c.	c.	PROPN
ap-6083	462	4	kim	kim	PROPN
ap-6083	462	5	.	.	PUNCT
ap-6083	463	1	multi	multi	ADJ
ap-6083	463	2	-	-	ADJ
ap-6083	463	3	dimensional	dimensional	ADJ
ap-6083	463	4	limiting	limiting	NOUN
ap-6083	463	5	process	process	NOUN
ap-6083	463	6	for	for	ADP
ap-6083	463	7	hyperbolic	hyperbolic	ADJ
ap-6083	463	8	conservation	conservation	NOUN
ap-6083	463	9	laws	law	NOUN
ap-6083	463	10	on	on	ADP
ap-6083	463	11	unstructured	unstructured	ADJ
ap-6083	463	12	grids	grid	NOUN
ap-6083	463	13	.	.	PUNCT
ap-6083	464	1	journal	journal	PROPN
ap-6083	464	2	of	of	ADP
ap-6083	464	3	computational	computational	ADJ
ap-6083	464	4	physics	physics	NOUN
ap-6083	464	5	229(3):788	229(3):788	ADV
ap-6083	464	6	–	–	PUNCT
ap-6083	464	7	812	812	NUM
ap-6083	464	8	,	,	PUNCT
ap-6083	464	9	2010	2010	NUM
ap-6083	464	10	.	.	PUNCT
ap-6083	465	1	doi:10.1016	doi:10.1016	PROPN
ap-6083	465	2	/	/	SYM
ap-6083	465	3	j.jcp.2009.10.011	j.jcp.2009.10.011	PROPN
ap-6083	465	4	.	.	PUNCT
ap-6083	466	1	[	[	X
ap-6083	466	2	32	32	NUM
ap-6083	466	3	]	]	PUNCT
ap-6083	466	4	a.	a.	NOUN
ap-6083	466	5	i.	i.	PROPN
ap-6083	466	6	delis	delis	PROPN
ap-6083	466	7	,	,	PUNCT
ap-6083	466	8	i.	i.	PROPN
ap-6083	466	9	k.	k.	PROPN
ap-6083	466	10	nikolos	nikolos	PROPN
ap-6083	466	11	.	.	PUNCT
ap-6083	467	1	a	a	DET
ap-6083	467	2	novel	novel	ADJ
ap-6083	467	3	multidimensional	multidimensional	ADJ
ap-6083	467	4	solution	solution	NOUN
ap-6083	467	5	reconstruction	reconstruction	NOUN
ap-6083	467	6	and	and	CCONJ
ap-6083	467	7	edge	edge	NOUN
ap-6083	467	8	-	-	PUNCT
ap-6083	467	9	based	base	VERB
ap-6083	467	10	limiting	limiting	NOUN
ap-6083	467	11	procedure	procedure	NOUN
ap-6083	467	12	for	for	ADP
ap-6083	467	13	unstructured	unstructured	ADJ
ap-6083	467	14	cell	cell	NOUN
ap-6083	467	15	-	-	PUNCT
ap-6083	467	16	centered	center	VERB
ap-6083	467	17	finite	finite	ADJ
ap-6083	467	18	volumes	volume	NOUN
ap-6083	467	19	with	with	ADP
ap-6083	467	20	application	application	NOUN
ap-6083	467	21	to	to	ADP
ap-6083	467	22	shallow	shallow	ADJ
ap-6083	467	23	water	water	NOUN
ap-6083	467	24	dynamics	dynamic	NOUN
ap-6083	467	25	.	.	PUNCT
ap-6083	468	1	international	international	ADJ
ap-6083	468	2	journal	journal	PROPN
ap-6083	468	3	for	for	ADP
ap-6083	468	4	numerical	numerical	ADJ
ap-6083	468	5	methods	method	NOUN
ap-6083	468	6	in	in	ADP
ap-6083	468	7	fluids	fluid	NOUN
ap-6083	468	8	71(5):584–633	71(5):584–633	PROPN
ap-6083	468	9	,	,	PUNCT
ap-6083	468	10	2013	2013	NUM
ap-6083	468	11	.	.	PUNCT
ap-6083	469	1	doi:10.1002	doi:10.1002	NOUN
ap-6083	469	2	/	/	SYM
ap-6083	469	3	fld.3674	fld.3674	NOUN
ap-6083	469	4	.	.	PUNCT
ap-6083	470	1	[	[	X
ap-6083	470	2	33	33	NUM
ap-6083	470	3	]	]	PUNCT
ap-6083	470	4	a.	a.	NOUN
ap-6083	470	5	delis	deli	NOUN
ap-6083	470	6	,	,	PUNCT
ap-6083	470	7	i.	i.	PROPN
ap-6083	470	8	k.	k.	PROPN
ap-6083	470	9	nikolos	nikolos	PROPN
ap-6083	470	10	.	.	PUNCT
ap-6083	471	1	on	on	ADP
ap-6083	471	2	a	a	DET
ap-6083	471	3	solution	solution	NOUN
ap-6083	471	4	reconstruction	reconstruction	NOUN
ap-6083	471	5	and	and	CCONJ
ap-6083	471	6	limiting	limit	VERB
ap-6083	471	7	procedure	procedure	NOUN
ap-6083	471	8	for	for	ADP
ap-6083	471	9	unstructured	unstructured	ADJ
ap-6083	471	10	finite	finite	ADJ
ap-6083	471	11	volumes	volume	NOUN
ap-6083	471	12	.	.	PUNCT
ap-6083	472	1	american	american	PROPN
ap-6083	472	2	institute	institute	PROPN
ap-6083	472	3	of	of	ADP
ap-6083	472	4	mathematical	mathematical	ADJ
ap-6083	472	5	sciences	sciences	PROPN
ap-6083	472	6	(	(	PUNCT
ap-6083	472	7	aims	aim	NOUN
ap-6083	472	8	)	)	PUNCT
ap-6083	472	9	journal	journal	NOUN
ap-6083	472	10	8:491–499	8:491–499	PROPN
ap-6083	472	11	,	,	PUNCT
ap-6083	472	12	2014	2014	NUM
ap-6083	472	13	.	.	PUNCT
ap-6083	473	1	[	[	X
ap-6083	473	2	34	34	NUM
ap-6083	473	3	]	]	PUNCT
ap-6083	473	4	m.-s	m.-	NOUN
ap-6083	473	5	.	.	PUNCT
ap-6083	473	6	liou	liou	NOUN
ap-6083	473	7	.	.	PUNCT
ap-6083	474	1	a	a	DET
ap-6083	474	2	sequel	sequel	NOUN
ap-6083	474	3	to	to	PART
ap-6083	474	4	ausm	ausm	VERB
ap-6083	474	5	,	,	PUNCT
ap-6083	474	6	part	part	PROPN
ap-6083	474	7	ii	ii	PROPN
ap-6083	474	8	:	:	PUNCT
ap-6083	474	9	ausm+-up	ausm+-up	PROPN
ap-6083	474	10	for	for	ADP
ap-6083	474	11	all	all	DET
ap-6083	474	12	speeds	speed	NOUN
ap-6083	474	13	.	.	PUNCT
ap-6083	475	1	journal	journal	NOUN
ap-6083	475	2	of	of	ADP
ap-6083	475	3	computational	computational	ADJ
ap-6083	475	4	physics	physic	NOUN
ap-6083	475	5	214(1):137	214(1):137	NUM
ap-6083	475	6	–	–	PUNCT
ap-6083	475	7	170	170	NUM
ap-6083	475	8	,	,	PUNCT
ap-6083	475	9	2006	2006	NUM
ap-6083	475	10	.	.	PUNCT
ap-6083	476	1	doi:10.1016	doi:10.1016	PROPN
ap-6083	476	2	/	/	SYM
ap-6083	476	3	j.jcp.2005.09.020	j.jcp.2005.09.020	PROPN
ap-6083	476	4	.	.	PUNCT
ap-6083	477	1	[	[	X
ap-6083	477	2	35	35	NUM
ap-6083	477	3	]	]	PUNCT
ap-6083	477	4	a.	a.	NOUN
ap-6083	477	5	bölcs	bölcs	NOUN
ap-6083	477	6	,	,	PUNCT
ap-6083	477	7	t.	t.	PROPN
ap-6083	477	8	fransson	fransson	PROPN
ap-6083	477	9	.	.	PUNCT
ap-6083	478	1	aeroelasticity	aeroelasticity	NOUN
ap-6083	478	2	in	in	ADP
ap-6083	478	3	turbomachines	turbomachine	NOUN
ap-6083	478	4	:	:	PUNCT
ap-6083	478	5	comparison	comparison	NOUN
ap-6083	478	6	of	of	ADP
ap-6083	478	7	theoretical	theoretical	ADJ
ap-6083	478	8	and	and	CCONJ
ap-6083	478	9	experimental	experimental	ADJ
ap-6083	478	10	cascade	cascade	NOUN
ap-6083	478	11	results	result	NOUN
ap-6083	478	12	+	+	CCONJ
ap-6083	478	13	appendix	appendix	ADJ
ap-6083	478	14	a5	a5	NUM
ap-6083	478	15	.	.	PUNCT
ap-6083	479	1	epfl	epfl	PROPN
ap-6083	479	2	lausanne	lausanne	PROPN
ap-6083	479	3	,	,	PUNCT
ap-6083	479	4	1986	1986	NUM
ap-6083	479	5	.	.	PUNCT
ap-6083	480	1	[	[	X
ap-6083	480	2	36	36	NUM
ap-6083	480	3	]	]	X
ap-6083	480	4	r.	r.	PROPN
ap-6083	480	5	w.	w.	PROPN
ap-6083	480	6	smith	smith	PROPN
ap-6083	480	7	.	.	PUNCT
ap-6083	481	1	ausm(ale	ausm(ale	PROPN
ap-6083	481	2	):	):	PUNCT
ap-6083	481	3	a	a	DET
ap-6083	481	4	geometrically	geometrically	ADV
ap-6083	481	5	conservative	conservative	ADJ
ap-6083	481	6	arbitrary	arbitrary	ADJ
ap-6083	481	7	lagrangian	lagrangian	ADJ
ap-6083	481	8	-	-	PUNCT
ap-6083	481	9	eulerian	eulerian	ADJ
ap-6083	481	10	flux	flux	NOUN
ap-6083	481	11	splitting	splitting	NOUN
ap-6083	481	12	scheme	scheme	NOUN
ap-6083	481	13	.	.	PUNCT
ap-6083	482	1	journal	journal	NOUN
ap-6083	482	2	of	of	ADP
ap-6083	482	3	computational	computational	ADJ
ap-6083	482	4	physics	physic	NOUN
ap-6083	482	5	150(1):268	150(1):268	NUM
ap-6083	482	6	–	–	PUNCT
ap-6083	482	7	286	286	NUM
ap-6083	482	8	,	,	PUNCT
ap-6083	482	9	1999	1999	NUM
ap-6083	482	10	.	.	PUNCT
ap-6083	483	1	doi:10.1006	doi:10.1006	PROPN
ap-6083	483	2	/	/	SYM
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ap-6083	483	4	.	.	PUNCT
ap-6083	484	1	[	[	X
ap-6083	484	2	37	37	NUM
ap-6083	484	3	]	]	X
ap-6083	484	4	d.	d.	PROPN
ap-6083	484	5	darracq	darracq	PROPN
ap-6083	484	6	,	,	PUNCT
ap-6083	484	7	s.	s.	PROPN
ap-6083	484	8	champagneux	champagneux	PROPN
ap-6083	484	9	,	,	PUNCT
ap-6083	484	10	a.	a.	NOUN
ap-6083	484	11	corjon	corjon	NOUN
ap-6083	484	12	.	.	PUNCT
ap-6083	485	1	computation	computation	NOUN
ap-6083	485	2	of	of	ADP
ap-6083	485	3	unsteady	unsteady	ADJ
ap-6083	485	4	turbulent	turbulent	ADJ
ap-6083	485	5	airfoil	airfoil	NOUN
ap-6083	485	6	flows	flow	VERB
ap-6083	485	7	with	with	ADP
ap-6083	485	8	an	an	DET
ap-6083	485	9	aeroelastic	aeroelastic	ADJ
ap-6083	485	10	ausm+	ausm+	ADV
ap-6083	485	11	implicit	implicit	ADJ
ap-6083	485	12	solver	solver	NOUN
ap-6083	485	13	.	.	PUNCT
ap-6083	486	1	in	in	ADP
ap-6083	486	2	16th	16th	ADJ
ap-6083	486	3	aiaa	aiaa	ADJ
ap-6083	486	4	applied	apply	VERB
ap-6083	486	5	aerodynamics	aerodynamic	NOUN
ap-6083	486	6	conference	conference	NOUN
ap-6083	486	7	.	.	PUNCT
ap-6083	487	1	1998	1998	NUM
ap-6083	487	2	.	.	PUNCT
ap-6083	488	1	doi:10.2514/6.1998	doi:10.2514/6.1998	PROPN
ap-6083	488	2	-	-	PUNCT
ap-6083	488	3	2411	2411	NUM
ap-6083	488	4	.	.	PUNCT
ap-6083	489	1	146	146	NUM
ap-6083	489	2	http://dx.doi.org/10.1016/0045-7825(82)90128-1	http://dx.doi.org/10.1016/0045-7825(82)90128-1	NOUN
ap-6083	489	3	http://dx.doi.org/10.1016/j.cma.2004.02.020	http://dx.doi.org/10.1016/j.cma.2004.02.020	NOUN
ap-6083	489	4	http://dx.doi.org/10.1002/nme.1971	http://dx.doi.org/10.1002/nme.1971	ADV
ap-6083	489	5	http://dx.doi.org/10.1016/s0307-904x(02)00060-4	http://dx.doi.org/10.1016/s0307-904x(02)00060-4	PROPN
ap-6083	489	6	http://dx.doi.org/10.1016/s0045-7949(01)00177-8	http://dx.doi.org/10.1016/s0045-7949(01)00177-8	PROPN
ap-6083	489	7	http://dx.doi.org/10.1016/j.jfluidstructs.2006.12.003	http://dx.doi.org/10.1016/j.jfluidstructs.2006.12.003	PROPN
ap-6083	489	8	http://dx.doi.org/10.1016/j.jfluidstructs.2004.07.001	http://dx.doi.org/10.1016/j.jfluidstructs.2004.07.001	PROPN
ap-6083	489	9	http://dx.doi.org/10.1006/jcph.1993.1122	http://dx.doi.org/10.1006/jcph.1993.1122	NOUN
ap-6083	489	10	http://dx.doi.org/10.1016/0021-9991(79)90145-1	http://dx.doi.org/10.1016/0021-9991(79)90145-1	PROPN
ap-6083	490	1	http://dx.doi.org/10.2514/6.2014-1440	http://dx.doi.org/10.2514/6.2014-1440	ADV
ap-6083	490	2	http://dx.doi.org/10.2514/6.2005-490	http://dx.doi.org/10.2514/6.2005-490	INTJ
ap-6083	490	3	http://dx.doi.org/10.2514/6.2003-3986	http://dx.doi.org/10.2514/6.2003-3986	PROPN
ap-6083	490	4	http://dx.doi.org/10.1063/1.4997682	http://dx.doi.org/10.1063/1.4997682	PROPN
ap-6083	490	5	http://dx.doi.org/10.1006/jcph.1999.6329	http://dx.doi.org/10.1006/jcph.1999.6329	PROPN
ap-6083	490	6	http://dx.doi.org/10.2514/6.1989-366	http://dx.doi.org/10.2514/6.1989-366	VERB
ap-6083	490	7	http://dx.doi.org/10.2514/6.1993-880	http://dx.doi.org/10.2514/6.1993-880	PRON
ap-6083	490	8	http://dx.doi.org/10.1016/j.jcp.2005.02.022	http://dx.doi.org/10.1016/j.jcp.2005.02.022	NOUN
ap-6083	490	9	http://dx.doi.org/10.1016/j.jcp.2009.10.011	http://dx.doi.org/10.1016/j.jcp.2009.10.011	PROPN
ap-6083	490	10	http://dx.doi.org/10.1002/fld.3674	http://dx.doi.org/10.1002/fld.3674	PROPN
ap-6083	490	11	http://dx.doi.org/10.1016/j.jcp.2005.09.020	http://dx.doi.org/10.1016/j.jcp.2005.09.020	PROPN
ap-6083	490	12	http://dx.doi.org/10.1006/jcph.1998.6180	http://dx.doi.org/10.1006/jcph.1998.6180	PROPN
ap-6083	490	13	http://dx.doi.org/10.2514/6.1998-2411	http://dx.doi.org/10.2514/6.1998-2411	PROPN
ap-6083	490	14	vol	vol	NOUN
ap-6083	490	15	.	.	PUNCT
ap-6083	491	1	61	61	NUM
ap-6083	491	2	special	special	ADJ
ap-6083	491	3	issue/2021	issue/2021	NOUN
ap-6083	491	4	numerical	numerical	PROPN
ap-6083	491	5	flutter	flutter	PROPN
ap-6083	491	6	prediction	prediction	NOUN
ap-6083	491	7	[	[	X
ap-6083	491	8	38	38	NUM
ap-6083	491	9	]	]	PUNCT
ap-6083	491	10	a.	a.	NOUN
ap-6083	491	11	c.	c.	PROPN
ap-6083	491	12	haselbacher	haselbacher	PROPN
ap-6083	491	13	.	.	PUNCT
ap-6083	492	1	a	a	DET
ap-6083	492	2	grid	grid	NOUN
ap-6083	492	3	-	-	PUNCT
ap-6083	492	4	transparent	transparent	ADJ
ap-6083	492	5	numerical	numerical	ADJ
ap-6083	492	6	method	method	NOUN
ap-6083	492	7	for	for	ADP
ap-6083	492	8	compressible	compressible	ADJ
ap-6083	492	9	viscous	viscous	ADJ
ap-6083	492	10	flows	flow	NOUN
ap-6083	492	11	on	on	ADP
ap-6083	492	12	mixed	mixed	ADJ
ap-6083	492	13	unstructured	unstructured	ADJ
ap-6083	492	14	grids	grid	NOUN
ap-6083	492	15	,	,	PUNCT
ap-6083	492	16	1999	1999	NUM
ap-6083	492	17	.	.	PUNCT
ap-6083	493	1	[	[	X
ap-6083	493	2	39	39	NUM
ap-6083	493	3	]	]	PUNCT
ap-6083	493	4	w.	w.	PROPN
ap-6083	493	5	anderson	anderson	PROPN
ap-6083	493	6	,	,	PUNCT
ap-6083	493	7	d.	d.	PROPN
ap-6083	493	8	l.	l.	PROPN
ap-6083	493	9	bonhaus	bonhaus	PROPN
ap-6083	493	10	.	.	PUNCT
ap-6083	494	1	an	an	DET
ap-6083	494	2	implicit	implicit	ADJ
ap-6083	494	3	upwind	upwind	NOUN
ap-6083	494	4	algorithm	algorithm	NOUN
ap-6083	494	5	for	for	ADP
ap-6083	494	6	computing	compute	VERB
ap-6083	494	7	turbulent	turbulent	ADJ
ap-6083	494	8	flows	flow	NOUN
ap-6083	494	9	on	on	ADP
ap-6083	494	10	unstructured	unstructured	ADJ
ap-6083	494	11	grids	grid	NOUN
ap-6083	494	12	.	.	PUNCT
ap-6083	495	1	computers	computer	NOUN
ap-6083	495	2	&	&	CCONJ
ap-6083	495	3	fluids	fluid	NOUN
ap-6083	495	4	23(1):1	23(1):1	PROPN
ap-6083	495	5	–	–	PUNCT
ap-6083	495	6	21	21	NUM
ap-6083	495	7	,	,	PUNCT
ap-6083	495	8	1994	1994	NUM
ap-6083	495	9	.	.	PUNCT
ap-6083	496	1	doi:10.1016/0045	doi:10.1016/0045	ADJ
ap-6083	496	2	-	-	PUNCT
ap-6083	496	3	7930(94)90023	7930(94)90023	NUM
ap-6083	496	4	-	-	NOUN
ap-6083	496	5	x.	x.	NOUN
ap-6083	497	1	[	[	X
ap-6083	497	2	40	40	NUM
ap-6083	497	3	]	]	PUNCT
ap-6083	497	4	p.	p.	NOUN
ap-6083	497	5	batten	batten	NOUN
ap-6083	497	6	,	,	PUNCT
ap-6083	497	7	c.	c.	PROPN
ap-6083	497	8	lambert	lambert	PROPN
ap-6083	497	9	,	,	PUNCT
ap-6083	497	10	d.	d.	PROPN
ap-6083	497	11	m.	m.	PROPN
ap-6083	497	12	causon	causon	PROPN
ap-6083	497	13	.	.	PUNCT
ap-6083	498	1	positively	positively	ADV
ap-6083	498	2	conservative	conservative	ADJ
ap-6083	498	3	high	high	ADJ
ap-6083	498	4	-	-	PUNCT
ap-6083	498	5	resolution	resolution	NOUN
ap-6083	498	6	convection	convection	NOUN
ap-6083	498	7	schemes	scheme	NOUN
ap-6083	498	8	for	for	ADP
ap-6083	498	9	unstructured	unstructured	ADJ
ap-6083	498	10	elements	element	NOUN
ap-6083	498	11	.	.	PUNCT
ap-6083	499	1	international	international	ADJ
ap-6083	499	2	journal	journal	PROPN
ap-6083	499	3	for	for	ADP
ap-6083	499	4	numerical	numerical	ADJ
ap-6083	499	5	methods	method	NOUN
ap-6083	499	6	in	in	ADP
ap-6083	499	7	engineering	engineering	NOUN
ap-6083	499	8	39(11):1821–1838	39(11):1821–1838	NUM
ap-6083	499	9	,	,	PUNCT
ap-6083	499	10	1996	1996	NUM
ap-6083	499	11	.	.	PUNCT
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ap-6083	501	5	standard	standard	ADJ
ap-6083	501	6	configuration	configuration	NOUN
ap-6083	501	7	experimental	experimental	ADJ
ap-6083	501	8	data	datum	NOUN
ap-6083	501	9	.	.	PUNCT
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ap-6083	502	2	_	_	PRON
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ap-6083	503	6	-	-	PUNCT
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ap-6083	503	8	.	.	PUNCT
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ap-6083	505	5	aerodynamic	aerodynamic	ADJ
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ap-6083	505	7	,	,	PUNCT
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ap-6083	505	9	a	a	DET
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ap-6083	505	11	tool	tool	NOUN
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ap-6083	505	14	-	-	PUNCT
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ap-6083	512	13	non	non	ADJ
ap-6083	512	14	-	-	ADJ
ap-6083	512	15	reflecting	reflect	VERB
ap-6083	512	16	boundary	boundary	ADJ
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ap-6083	515	7	of	of	ADP
ap-6083	515	8	subsonic	subsonic	ADJ
ap-6083	515	9	oscillatory	oscillatory	ADJ
ap-6083	515	10	blade	blade	NOUN
ap-6083	515	11	-	-	PUNCT
ap-6083	515	12	row	row	NOUN
ap-6083	515	13	aerodynamics	aerodynamic	NOUN
ap-6083	515	14	.	.	PUNCT
ap-6083	516	1	technical	technical	ADJ
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ap-6083	516	7	,	,	PUNCT
ap-6083	516	8	new	new	PROPN
ap-6083	516	9	york	york	PROPN
ap-6083	516	10	,	,	PUNCT
ap-6083	516	11	united	united	PROPN
ap-6083	516	12	states	states	PROPN
ap-6083	516	13	,	,	PUNCT
ap-6083	516	14	1958	1958	NUM
ap-6083	516	15	.	.	PUNCT
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ap-6083	517	7	https://www.rpmturbo.com/testcases/stcf/stcf4_update/stcf4_update.htm	https://www.rpmturbo.com/testcases/stcf/stcf4_update/stcf4_update.htm	X
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ap-6083	517	11	,	,	PUNCT
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ap-6083	517	13	1	1	NUM
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ap-6083	517	15	2	2	NUM
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ap-6083	517	17	methods	method	NOUN
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ap-6083	517	23	scheme	scheme	NOUN
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ap-6083	517	36	standard	standard	ADJ
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ap-6083	517	40	-	-	PUNCT
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ap-6083	517	42	turbine	turbine	NOUN
ap-6083	517	43	m8	m8	NOUN
ap-6083	517	44	4	4	NUM
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ap-6083	517	62	6	6	NUM
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ap-6083	517	66	symbols	symbol	NOUN
ap-6083	517	67	references	reference	NOUN