id	sid	tid	token	lemma	pos
ap-1690	1	1	acta	acta	PROPN
ap-1690	1	2	polytechnica	polytechnica	PROPN
ap-1690	1	3	vol	vol	NOUN
ap-1690	1	4	.	.	PROPN
ap-1690	2	1	52	52	NUM
ap-1690	2	2	no	no	NOUN
ap-1690	2	3	.	.	PUNCT
ap-1690	3	1	6/2012	6/2012	NUM
ap-1690	3	2	simulation	simulation	NOUN
ap-1690	3	3	of	of	ADP
ap-1690	3	4	free	free	ADJ
ap-1690	3	5	airfoil	airfoil	NOUN
ap-1690	3	6	vibrations	vibration	NOUN
ap-1690	3	7	in	in	ADP
ap-1690	3	8	incompressible	incompressible	ADJ
ap-1690	3	9	viscous	viscous	ADJ
ap-1690	3	10	flow	flow	NOUN
ap-1690	3	11	—	—	PUNCT
ap-1690	3	12	comparison	comparison	NOUN
ap-1690	3	13	of	of	ADP
ap-1690	3	14	fem	fem	NOUN
ap-1690	3	15	and	and	CCONJ
ap-1690	3	16	fvm	fvm	ADJ
ap-1690	3	17	petr	petr	PROPN
ap-1690	3	18	sváček1	sváček1	PROPN
ap-1690	3	19	,	,	PUNCT
ap-1690	3	20	jaromír	jaromír	NOUN
ap-1690	3	21	horáček2	horáček2	PROPN
ap-1690	3	22	,	,	PUNCT
ap-1690	3	23	radek	radek	PROPN
ap-1690	3	24	honzátko3	honzátko3	PROPN
ap-1690	3	25	,	,	PUNCT
ap-1690	3	26	karel	karel	PROPN
ap-1690	3	27	kozel1	kozel1	PROPN
ap-1690	4	1	1faculty	1faculty	NUM
ap-1690	4	2	of	of	ADP
ap-1690	4	3	mechanical	mechanical	ADJ
ap-1690	4	4	engineering	engineering	NOUN
ap-1690	4	5	,	,	PUNCT
ap-1690	4	6	czech	czech	PROPN
ap-1690	4	7	technical	technical	PROPN
ap-1690	4	8	university	university	PROPN
ap-1690	4	9	in	in	ADP
ap-1690	4	10	prague	prague	PROPN
ap-1690	4	11	,	,	PUNCT
ap-1690	4	12	prague	prague	PROPN
ap-1690	4	13	,	,	PUNCT
ap-1690	4	14	czech	czech	PROPN
ap-1690	4	15	republic	republic	NOUN
ap-1690	4	16	2institute	2institute	NUM
ap-1690	4	17	of	of	ADP
ap-1690	4	18	thermomechanics	thermomechanic	NOUN
ap-1690	4	19	,	,	PUNCT
ap-1690	4	20	academy	academy	NOUN
ap-1690	4	21	of	of	ADP
ap-1690	4	22	sciences	sciences	PROPN
ap-1690	4	23	of	of	ADP
ap-1690	4	24	the	the	DET
ap-1690	4	25	czech	czech	PROPN
ap-1690	4	26	republic	republic	NOUN
ap-1690	4	27	,	,	PUNCT
ap-1690	4	28	prague	prague	PROPN
ap-1690	4	29	,	,	PUNCT
ap-1690	4	30	czech	czech	PROPN
ap-1690	4	31	republic	republic	NOUN
ap-1690	4	32	3faculty	3faculty	NUM
ap-1690	4	33	of	of	ADP
ap-1690	4	34	production	production	NOUN
ap-1690	4	35	technology	technology	NOUN
ap-1690	4	36	and	and	CCONJ
ap-1690	4	37	management	management	NOUN
ap-1690	4	38	,	,	PUNCT
ap-1690	4	39	jan	jan	PROPN
ap-1690	4	40	evangelisty	evangelisty	PROPN
ap-1690	4	41	purkyně	purkyně	PROPN
ap-1690	4	42	university	university	PROPN
ap-1690	4	43	in	in	ADP
ap-1690	4	44	ústí	ústí	ADJ
ap-1690	4	45	nad	nad	PROPN
ap-1690	4	46	labem	labem	NOUN
ap-1690	4	47	,	,	PUNCT
ap-1690	4	48	ústí	ústí	VERB
ap-1690	4	49	nad	nad	PROPN
ap-1690	4	50	labem	labem	NOUN
ap-1690	4	51	,	,	PUNCT
ap-1690	4	52	czech	czech	PROPN
ap-1690	4	53	republic	republic	NOUN
ap-1690	4	54	.	.	PUNCT
ap-1690	5	1	corresponding	correspond	VERB
ap-1690	5	2	author	author	NOUN
ap-1690	5	3	:	:	PUNCT
ap-1690	5	4	petr.svacek@fs.cvut.cz	petr.svacek@fs.cvut.cz	NOUN
ap-1690	5	5	abstract	abstract	ADP
ap-1690	5	6	this	this	DET
ap-1690	5	7	paper	paper	NOUN
ap-1690	5	8	deals	deal	NOUN
ap-1690	5	9	with	with	ADP
ap-1690	5	10	a	a	DET
ap-1690	5	11	numerical	numerical	ADJ
ap-1690	5	12	solution	solution	NOUN
ap-1690	5	13	of	of	ADP
ap-1690	5	14	the	the	DET
ap-1690	5	15	interaction	interaction	NOUN
ap-1690	5	16	of	of	ADP
ap-1690	5	17	two	two	NUM
ap-1690	5	18	-	-	PUNCT
ap-1690	5	19	dimensional	dimensional	ADJ
ap-1690	5	20	(	(	PUNCT
ap-1690	5	21	2	2	NUM
ap-1690	5	22	-	-	SYM
ap-1690	5	23	d	d	NOUN
ap-1690	5	24	)	)	PUNCT
ap-1690	5	25	incompressible	incompressible	ADJ
ap-1690	5	26	viscous	viscous	ADJ
ap-1690	5	27	flow	flow	NOUN
ap-1690	5	28	and	and	CCONJ
ap-1690	5	29	a	a	DET
ap-1690	5	30	vibrating	vibrate	VERB
ap-1690	5	31	profile	profile	NOUN
ap-1690	5	32	naca	naca	NOUN
ap-1690	5	33	0012	0012	NUM
ap-1690	5	34	with	with	ADP
ap-1690	5	35	large	large	ADJ
ap-1690	5	36	amplitudes	amplitude	NOUN
ap-1690	5	37	.	.	PUNCT
ap-1690	6	1	the	the	DET
ap-1690	6	2	laminar	laminar	ADJ
ap-1690	6	3	flow	flow	NOUN
ap-1690	6	4	is	be	AUX
ap-1690	6	5	described	describe	VERB
ap-1690	6	6	by	by	ADP
ap-1690	6	7	the	the	DET
ap-1690	6	8	navier	navier	NOUN
ap-1690	6	9	-	-	PUNCT
ap-1690	6	10	stokes	stoke	NOUN
ap-1690	6	11	equations	equation	NOUN
ap-1690	6	12	in	in	ADP
ap-1690	6	13	the	the	DET
ap-1690	6	14	arbitrary	arbitrary	ADJ
ap-1690	6	15	lagrangian	lagrangian	ADJ
ap-1690	6	16	-	-	PUNCT
ap-1690	6	17	eulerian	eulerian	ADJ
ap-1690	6	18	form	form	NOUN
ap-1690	6	19	.	.	PUNCT
ap-1690	7	1	the	the	DET
ap-1690	7	2	profile	profile	NOUN
ap-1690	7	3	with	with	ADP
ap-1690	7	4	two	two	NUM
ap-1690	7	5	degrees	degree	NOUN
ap-1690	7	6	of	of	ADP
ap-1690	7	7	freedom	freedom	NOUN
ap-1690	7	8	(	(	PUNCT
ap-1690	7	9	2	2	NUM
ap-1690	7	10	-	-	PUNCT
ap-1690	7	11	dof	dof	NOUN
ap-1690	7	12	)	)	PUNCT
ap-1690	7	13	can	can	AUX
ap-1690	7	14	rotate	rotate	VERB
ap-1690	7	15	around	around	ADP
ap-1690	7	16	its	its	PRON
ap-1690	7	17	elastic	elastic	ADJ
ap-1690	7	18	axis	axis	NOUN
ap-1690	7	19	and	and	CCONJ
ap-1690	7	20	oscillate	oscillate	VERB
ap-1690	7	21	in	in	ADP
ap-1690	7	22	the	the	DET
ap-1690	7	23	vertical	vertical	ADJ
ap-1690	7	24	direction	direction	NOUN
ap-1690	7	25	.	.	PUNCT
ap-1690	8	1	its	its	PRON
ap-1690	8	2	motion	motion	NOUN
ap-1690	8	3	is	be	AUX
ap-1690	8	4	described	describe	VERB
ap-1690	8	5	by	by	ADP
ap-1690	8	6	a	a	DET
ap-1690	8	7	nonlinear	nonlinear	ADJ
ap-1690	8	8	system	system	NOUN
ap-1690	8	9	of	of	ADP
ap-1690	8	10	two	two	NUM
ap-1690	8	11	ordinary	ordinary	ADJ
ap-1690	8	12	differential	differential	ADJ
ap-1690	8	13	equations	equation	NOUN
ap-1690	8	14	.	.	PUNCT
ap-1690	9	1	deformations	deformation	NOUN
ap-1690	9	2	of	of	ADP
ap-1690	9	3	the	the	DET
ap-1690	9	4	computational	computational	ADJ
ap-1690	9	5	domain	domain	NOUN
ap-1690	9	6	due	due	ADP
ap-1690	9	7	to	to	ADP
ap-1690	9	8	the	the	DET
ap-1690	9	9	profile	profile	NOUN
ap-1690	9	10	motion	motion	NOUN
ap-1690	9	11	are	be	AUX
ap-1690	9	12	treated	treat	VERB
ap-1690	9	13	by	by	ADP
ap-1690	9	14	the	the	DET
ap-1690	9	15	arbitrary	arbitrary	ADJ
ap-1690	9	16	lagrangian	lagrangian	ADJ
ap-1690	9	17	-	-	PUNCT
ap-1690	9	18	eulerian	eulerian	ADJ
ap-1690	9	19	method	method	NOUN
ap-1690	9	20	.	.	PUNCT
ap-1690	10	1	the	the	DET
ap-1690	10	2	finite	finite	PROPN
ap-1690	10	3	volume	volume	NOUN
ap-1690	10	4	method	method	NOUN
ap-1690	10	5	and	and	CCONJ
ap-1690	10	6	the	the	DET
ap-1690	10	7	finite	finite	ADJ
ap-1690	10	8	element	element	NOUN
ap-1690	10	9	method	method	NOUN
ap-1690	10	10	are	be	AUX
ap-1690	10	11	applied	apply	VERB
ap-1690	10	12	,	,	PUNCT
ap-1690	10	13	and	and	CCONJ
ap-1690	10	14	the	the	DET
ap-1690	10	15	numerical	numerical	ADJ
ap-1690	10	16	results	result	NOUN
ap-1690	10	17	are	be	AUX
ap-1690	10	18	compared	compare	VERB
ap-1690	10	19	.	.	PUNCT
ap-1690	11	1	keywords	keyword	NOUN
ap-1690	11	2	:	:	PUNCT
ap-1690	11	3	laminar	laminar	ADJ
ap-1690	11	4	flow	flow	NOUN
ap-1690	11	5	,	,	PUNCT
ap-1690	11	6	finite	finite	ADJ
ap-1690	11	7	volume	volume	NOUN
ap-1690	11	8	method	method	NOUN
ap-1690	11	9	,	,	PUNCT
ap-1690	11	10	finite	finite	PROPN
ap-1690	11	11	element	element	NOUN
ap-1690	11	12	method	method	NOUN
ap-1690	11	13	,	,	PUNCT
ap-1690	11	14	arbitrary	arbitrary	ADJ
ap-1690	11	15	lagrangian	lagrangian	ADJ
ap-1690	11	16	-	-	PUNCT
ap-1690	11	17	eulerian	eulerian	ADJ
ap-1690	11	18	method	method	NOUN
ap-1690	11	19	,	,	PUNCT
ap-1690	11	20	nonlinear	nonlinear	ADJ
ap-1690	11	21	aeroelasticity	aeroelasticity	NOUN
ap-1690	11	22	.	.	PUNCT
ap-1690	12	1	1	1	NUM
ap-1690	12	2	introduction	introduction	NOUN
ap-1690	12	3	coupled	couple	VERB
ap-1690	12	4	problems	problem	NOUN
ap-1690	12	5	describing	describe	VERB
ap-1690	12	6	the	the	DET
ap-1690	12	7	interactions	interaction	NOUN
ap-1690	12	8	of	of	ADP
ap-1690	12	9	fluid	fluid	ADJ
ap-1690	12	10	flow	flow	NOUN
ap-1690	12	11	with	with	ADP
ap-1690	12	12	an	an	DET
ap-1690	12	13	elastic	elastic	ADJ
ap-1690	12	14	structure	structure	NOUN
ap-1690	12	15	are	be	AUX
ap-1690	12	16	of	of	ADP
ap-1690	12	17	great	great	ADJ
ap-1690	12	18	importance	importance	NOUN
ap-1690	12	19	in	in	ADP
ap-1690	12	20	many	many	ADJ
ap-1690	12	21	engineering	engineering	NOUN
ap-1690	12	22	applications	application	NOUN
ap-1690	12	23	[	[	X
ap-1690	12	24	23	23	NUM
ap-1690	12	25	,	,	PUNCT
ap-1690	12	26	9	9	NUM
ap-1690	12	27	,	,	PUNCT
ap-1690	12	28	1	1	NUM
ap-1690	12	29	,	,	PUNCT
ap-1690	12	30	24	24	NUM
ap-1690	12	31	]	]	PUNCT
ap-1690	12	32	.	.	PUNCT
ap-1690	13	1	commercial	commercial	ADJ
ap-1690	13	2	codes	code	NOUN
ap-1690	13	3	are	be	AUX
ap-1690	13	4	widely	widely	ADV
ap-1690	13	5	used	use	VERB
ap-1690	13	6	(	(	PUNCT
ap-1690	13	7	e.g.	e.g.	ADV
ap-1690	13	8	nastran	nastran	NOUN
ap-1690	13	9	or	or	CCONJ
ap-1690	13	10	ansys	ansy	NOUN
ap-1690	13	11	)	)	PUNCT
ap-1690	13	12	in	in	ADP
ap-1690	13	13	technical	technical	ADJ
ap-1690	13	14	practice	practice	NOUN
ap-1690	13	15	,	,	PUNCT
ap-1690	13	16	and	and	CCONJ
ap-1690	13	17	aeroelasticity	aeroelasticity	NOUN
ap-1690	13	18	computations	computation	NOUN
ap-1690	13	19	are	be	AUX
ap-1690	13	20	performed	perform	VERB
ap-1690	13	21	mostly	mostly	ADV
ap-1690	13	22	in	in	ADP
ap-1690	13	23	the	the	DET
ap-1690	13	24	linear	linear	ADJ
ap-1690	13	25	domain	domain	NOUN
ap-1690	13	26	,	,	PUNCT
ap-1690	13	27	which	which	PRON
ap-1690	13	28	enables	enable	VERB
ap-1690	13	29	the	the	DET
ap-1690	13	30	stability	stability	NOUN
ap-1690	13	31	of	of	ADP
ap-1690	13	32	the	the	DET
ap-1690	13	33	system	system	NOUN
ap-1690	13	34	to	to	PART
ap-1690	13	35	be	be	AUX
ap-1690	13	36	determined	determine	VERB
ap-1690	13	37	.	.	PUNCT
ap-1690	14	1	recently	recently	ADV
ap-1690	14	2	,	,	PUNCT
ap-1690	14	3	the	the	DET
ap-1690	14	4	research	research	NOUN
ap-1690	14	5	has	have	AUX
ap-1690	14	6	also	also	ADV
ap-1690	14	7	focused	focus	VERB
ap-1690	14	8	on	on	ADP
ap-1690	14	9	numerical	numerical	ADJ
ap-1690	14	10	modeling	modeling	NOUN
ap-1690	14	11	of	of	ADP
ap-1690	14	12	nonlinear	nonlinear	ADJ
ap-1690	14	13	coupled	couple	VERB
ap-1690	14	14	problems	problem	NOUN
ap-1690	14	15	,	,	PUNCT
ap-1690	14	16	because	because	SCONJ
ap-1690	14	17	nonlinear	nonlinear	ADJ
ap-1690	14	18	phenomena	phenomenon	NOUN
ap-1690	14	19	in	in	ADP
ap-1690	14	20	post	post	ADJ
ap-1690	14	21	-	-	ADJ
ap-1690	14	22	critical	critical	ADJ
ap-1690	14	23	states	state	NOUN
ap-1690	14	24	with	with	ADP
ap-1690	14	25	large	large	ADJ
ap-1690	14	26	vibration	vibration	NOUN
ap-1690	14	27	amplitudes	amplitude	NOUN
ap-1690	14	28	can	can	AUX
ap-1690	14	29	not	not	PART
ap-1690	14	30	be	be	AUX
ap-1690	14	31	captured	capture	VERB
ap-1690	14	32	within	within	ADP
ap-1690	14	33	linear	linear	ADJ
ap-1690	14	34	analysis	analysis	NOUN
ap-1690	14	35	(	(	PUNCT
ap-1690	14	36	see	see	VERB
ap-1690	14	37	,	,	PUNCT
ap-1690	14	38	e.g.	e.g.	ADV
ap-1690	14	39	,	,	PUNCT
ap-1690	14	40	[	[	X
ap-1690	14	41	28	28	NUM
ap-1690	14	42	]	]	NUM
ap-1690	14	43	)	)	PUNCT
ap-1690	14	44	.	.	PUNCT
ap-1690	15	1	nonlinear	nonlinear	ADJ
ap-1690	15	2	phenomena	phenomenon	NOUN
ap-1690	15	3	are	be	AUX
ap-1690	15	4	important	important	ADJ
ap-1690	15	5	namely	namely	ADV
ap-1690	15	6	for	for	ADP
ap-1690	15	7	cases	case	NOUN
ap-1690	15	8	,	,	PUNCT
ap-1690	15	9	when	when	SCONJ
ap-1690	15	10	the	the	DET
ap-1690	15	11	structure	structure	NOUN
ap-1690	15	12	loses	lose	VERB
ap-1690	15	13	its	its	PRON
ap-1690	15	14	aeroelastic	aeroelastic	ADJ
ap-1690	15	15	stability	stability	NOUN
ap-1690	15	16	due	due	ADP
ap-1690	15	17	to	to	ADP
ap-1690	15	18	flutter	flutter	NOUN
ap-1690	15	19	or	or	CCONJ
ap-1690	15	20	divergence	divergence	NOUN
ap-1690	15	21	.	.	PUNCT
ap-1690	16	1	a	a	DET
ap-1690	16	2	nonlinear	nonlinear	ADJ
ap-1690	16	3	approach	approach	NOUN
ap-1690	16	4	allows	allow	VERB
ap-1690	16	5	the	the	DET
ap-1690	16	6	character	character	NOUN
ap-1690	16	7	of	of	ADP
ap-1690	16	8	the	the	DET
ap-1690	16	9	flutter	flutter	NOUN
ap-1690	16	10	boundary	boundary	ADJ
ap-1690	16	11	to	to	PART
ap-1690	16	12	be	be	AUX
ap-1690	16	13	determined	determine	VERB
ap-1690	16	14	.	.	PUNCT
ap-1690	17	1	the	the	DET
ap-1690	17	2	dynamic	dynamic	ADJ
ap-1690	17	3	behavior	behavior	NOUN
ap-1690	17	4	of	of	ADP
ap-1690	17	5	the	the	DET
ap-1690	17	6	structure	structure	NOUN
ap-1690	17	7	at	at	ADP
ap-1690	17	8	the	the	DET
ap-1690	17	9	stability	stability	NOUN
ap-1690	17	10	boundary	boundary	NOUN
ap-1690	17	11	can	can	AUX
ap-1690	17	12	be	be	AUX
ap-1690	17	13	either	either	ADV
ap-1690	17	14	acceptable	acceptable	ADJ
ap-1690	17	15	,	,	PUNCT
ap-1690	17	16	when	when	SCONJ
ap-1690	17	17	the	the	DET
ap-1690	17	18	vibration	vibration	NOUN
ap-1690	17	19	amplitudes	amplitude	NOUN
ap-1690	17	20	are	be	AUX
ap-1690	17	21	moderate	moderate	ADJ
ap-1690	17	22	,	,	PUNCT
ap-1690	17	23	or	or	CCONJ
ap-1690	17	24	catastrophic	catastrophic	ADJ
ap-1690	17	25	,	,	PUNCT
ap-1690	17	26	when	when	SCONJ
ap-1690	17	27	the	the	DET
ap-1690	17	28	amplitudes	amplitude	NOUN
ap-1690	17	29	increase	increase	VERB
ap-1690	17	30	in	in	ADP
ap-1690	17	31	time	time	NOUN
ap-1690	17	32	above	above	ADP
ap-1690	17	33	the	the	DET
ap-1690	17	34	safety	safety	NOUN
ap-1690	17	35	limits	limit	NOUN
ap-1690	17	36	.	.	PUNCT
ap-1690	18	1	the	the	DET
ap-1690	18	2	terminology	terminology	NOUN
ap-1690	18	3	of	of	ADP
ap-1690	18	4	benign	benign	ADJ
ap-1690	18	5	or	or	CCONJ
ap-1690	18	6	catastrophic	catastrophic	ADJ
ap-1690	18	7	instability	instability	NOUN
ap-1690	18	8	is	be	AUX
ap-1690	18	9	synonymous	synonymous	ADJ
ap-1690	18	10	with	with	ADP
ap-1690	18	11	that	that	PRON
ap-1690	18	12	of	of	ADP
ap-1690	18	13	stable	stable	ADJ
ap-1690	18	14	and	and	CCONJ
ap-1690	18	15	unstable	unstable	ADJ
ap-1690	18	16	limit	limit	NOUN
ap-1690	18	17	cycle	cycle	NOUN
ap-1690	18	18	oscillation	oscillation	NOUN
ap-1690	18	19	(	(	PUNCT
ap-1690	18	20	lco	lco	NOUN
ap-1690	18	21	)	)	PUNCT
ap-1690	18	22	,	,	PUNCT
ap-1690	18	23	[	[	X
ap-1690	18	24	9	9	NUM
ap-1690	18	25	]	]	PUNCT
ap-1690	18	26	,	,	PUNCT
ap-1690	18	27	also	also	ADV
ap-1690	18	28	referred	refer	VERB
ap-1690	18	29	to	to	ADP
ap-1690	18	30	as	as	ADV
ap-1690	18	31	supercritical	supercritical	ADJ
ap-1690	18	32	and	and	CCONJ
ap-1690	18	33	subcritical	subcritical	ADJ
ap-1690	18	34	hopf	hopf	ADJ
ap-1690	18	35	bifurcation	bifurcation	NOUN
ap-1690	18	36	[	[	X
ap-1690	18	37	24	24	NUM
ap-1690	18	38	]	]	PUNCT
ap-1690	18	39	.	.	PUNCT
ap-1690	19	1	the	the	DET
ap-1690	19	2	nonlinear	nonlinear	ADJ
ap-1690	19	3	aeroelasticity	aeroelasticity	NOUN
ap-1690	19	4	of	of	ADP
ap-1690	19	5	airfoils	airfoil	NOUN
ap-1690	19	6	is	be	AUX
ap-1690	19	7	very	very	ADV
ap-1690	19	8	closely	closely	ADV
ap-1690	19	9	related	relate	VERB
ap-1690	19	10	to	to	PART
ap-1690	19	11	flutter	flutter	VERB
ap-1690	19	12	controlling	control	VERB
ap-1690	19	13	methods	method	NOUN
ap-1690	19	14	.	.	PUNCT
ap-1690	20	1	librescu	librescu	PROPN
ap-1690	20	2	and	and	CCONJ
ap-1690	20	3	marzocca	marzocca	VERB
ap-1690	20	4	in	in	ADP
ap-1690	20	5	[	[	X
ap-1690	20	6	21	21	NUM
ap-1690	20	7	]	]	PUNCT
ap-1690	20	8	published	publish	VERB
ap-1690	20	9	a	a	DET
ap-1690	20	10	review	review	NOUN
ap-1690	20	11	of	of	ADP
ap-1690	20	12	control	control	NOUN
ap-1690	20	13	techniques	technique	NOUN
ap-1690	20	14	and	and	CCONJ
ap-1690	20	15	presented	present	VERB
ap-1690	20	16	in	in	ADP
ap-1690	20	17	[	[	X
ap-1690	20	18	22	22	NUM
ap-1690	20	19	]	]	PUNCT
ap-1690	20	20	the	the	DET
ap-1690	20	21	aeroelastic	aeroelastic	ADJ
ap-1690	20	22	response	response	NOUN
ap-1690	20	23	of	of	ADP
ap-1690	20	24	a	a	DET
ap-1690	20	25	2	2	NUM
ap-1690	20	26	-	-	PUNCT
ap-1690	20	27	dof	dof	NOUN
ap-1690	20	28	airfoil	airfoil	NOUN
ap-1690	20	29	in	in	ADP
ap-1690	20	30	2	2	NUM
ap-1690	20	31	-	-	PUNCT
ap-1690	20	32	d	d	ADJ
ap-1690	20	33	incompressible	incompressible	ADJ
ap-1690	20	34	flow	flow	NOUN
ap-1690	20	35	to	to	ADP
ap-1690	20	36	external	external	ADJ
ap-1690	20	37	time	time	NOUN
ap-1690	20	38	-	-	PUNCT
ap-1690	20	39	dependent	dependent	ADJ
ap-1690	20	40	excitations	excitation	NOUN
ap-1690	20	41	,	,	PUNCT
ap-1690	20	42	and	and	CCONJ
ap-1690	20	43	the	the	DET
ap-1690	20	44	flutter	flutter	NOUN
ap-1690	20	45	instability	instability	NOUN
ap-1690	20	46	of	of	ADP
ap-1690	20	47	actively	actively	ADV
ap-1690	20	48	controlled	control	VERB
ap-1690	20	49	airfoils	airfoil	NOUN
ap-1690	20	50	.	.	PUNCT
ap-1690	21	1	flutter	flutter	NOUN
ap-1690	21	2	boundaries	boundary	NOUN
ap-1690	21	3	and	and	CCONJ
ap-1690	21	4	lco	lco	NOUN
ap-1690	21	5	of	of	ADP
ap-1690	21	6	aeroelastic	aeroelastic	ADJ
ap-1690	21	7	systems	system	NOUN
ap-1690	21	8	with	with	ADP
ap-1690	21	9	structural	structural	ADJ
ap-1690	21	10	nonlinearities	nonlinearitie	NOUN
ap-1690	21	11	for	for	ADP
ap-1690	21	12	a	a	DET
ap-1690	21	13	2	2	NUM
ap-1690	21	14	-	-	PUNCT
ap-1690	21	15	dof	dof	NOUN
ap-1690	21	16	airfoil	airfoil	NOUN
ap-1690	21	17	in	in	ADP
ap-1690	21	18	2	2	NUM
ap-1690	21	19	-	-	PUNCT
ap-1690	21	20	d	d	ADJ
ap-1690	21	21	incompressible	incompressible	ADJ
ap-1690	21	22	flow	flow	NOUN
ap-1690	21	23	was	be	AUX
ap-1690	21	24	studied	study	VERB
ap-1690	21	25	by	by	ADP
ap-1690	21	26	jones	jones	PROPN
ap-1690	21	27	et	et	PROPN
ap-1690	21	28	al	al	PROPN
ap-1690	21	29	.	.	PUNCT
ap-1690	22	1	[	[	X
ap-1690	22	2	18	18	NUM
ap-1690	22	3	]	]	PUNCT
ap-1690	22	4	.	.	PUNCT
ap-1690	23	1	the	the	DET
ap-1690	23	2	limit	limit	NOUN
ap-1690	23	3	-	-	PUNCT
ap-1690	23	4	cycle	cycle	NOUN
ap-1690	23	5	excitation	excitation	NOUN
ap-1690	23	6	mechanism	mechanism	NOUN
ap-1690	23	7	was	be	AUX
ap-1690	23	8	investigated	investigate	VERB
ap-1690	23	9	for	for	ADP
ap-1690	23	10	a	a	DET
ap-1690	23	11	similar	similar	ADJ
ap-1690	23	12	aeroelastic	aeroelastic	ADJ
ap-1690	23	13	system	system	NOUN
ap-1690	23	14	with	with	ADP
ap-1690	23	15	structural	structural	ADJ
ap-1690	23	16	nonlinearities	nonlinearitie	NOUN
ap-1690	23	17	by	by	ADP
ap-1690	23	18	dessi	dessi	NOUN
ap-1690	23	19	and	and	CCONJ
ap-1690	23	20	mastroddi	mastroddi	ADJ
ap-1690	23	21	in	in	ADP
ap-1690	23	22	[	[	X
ap-1690	23	23	7	7	NUM
ap-1690	23	24	]	]	PUNCT
ap-1690	23	25	.	.	PUNCT
ap-1690	24	1	recently	recently	ADV
ap-1690	24	2	,	,	PUNCT
ap-1690	24	3	chung	chung	PROPN
ap-1690	24	4	et	et	PROPN
ap-1690	24	5	al	al	PROPN
ap-1690	24	6	.	.	PUNCT
ap-1690	25	1	in	in	ADP
ap-1690	25	2	[	[	X
ap-1690	25	3	4	4	NUM
ap-1690	25	4	]	]	PUNCT
ap-1690	25	5	analyzed	analyze	VERB
ap-1690	25	6	lco	lco	NOUN
ap-1690	25	7	for	for	ADP
ap-1690	25	8	a	a	DET
ap-1690	25	9	2	2	NUM
ap-1690	25	10	-	-	PUNCT
ap-1690	25	11	dof	dof	NOUN
ap-1690	25	12	airfoil	airfoil	NOUN
ap-1690	25	13	with	with	ADP
ap-1690	25	14	hysteresis	hysteresis	NOUN
ap-1690	25	15	nonlinearity	nonlinearity	NOUN
ap-1690	25	16	.	.	PUNCT
ap-1690	26	1	here	here	ADV
ap-1690	26	2	,	,	PUNCT
ap-1690	26	3	two	two	NUM
ap-1690	26	4	well	well	ADV
ap-1690	26	5	-	-	PUNCT
ap-1690	26	6	known	know	VERB
ap-1690	26	7	numerical	numerical	ADJ
ap-1690	26	8	methods	method	NOUN
ap-1690	26	9	,	,	PUNCT
ap-1690	26	10	the	the	DET
ap-1690	26	11	finite	finite	ADJ
ap-1690	26	12	volume	volume	NOUN
ap-1690	26	13	method	method	NOUN
ap-1690	26	14	(	(	PUNCT
ap-1690	26	15	fvm	fvm	ADV
ap-1690	26	16	,	,	PUNCT
ap-1690	26	17	see	see	VERB
ap-1690	26	18	[	[	X
ap-1690	26	19	15	15	NUM
ap-1690	26	20	,	,	PUNCT
ap-1690	26	21	16	16	NUM
ap-1690	26	22	]	]	PUNCT
ap-1690	26	23	)	)	PUNCT
ap-1690	26	24	and	and	CCONJ
ap-1690	26	25	the	the	DET
ap-1690	26	26	finite	finite	ADJ
ap-1690	26	27	element	element	NOUN
ap-1690	26	28	method	method	NOUN
ap-1690	26	29	(	(	PUNCT
ap-1690	26	30	fem	fem	PROPN
ap-1690	26	31	,	,	PUNCT
ap-1690	26	32	see	see	VERB
ap-1690	26	33	[	[	X
ap-1690	26	34	28	28	NUM
ap-1690	26	35	]	]	NUM
ap-1690	26	36	)	)	PUNCT
ap-1690	26	37	,	,	PUNCT
ap-1690	26	38	were	be	AUX
ap-1690	26	39	employed	employ	VERB
ap-1690	26	40	for	for	ADP
ap-1690	26	41	a	a	DET
ap-1690	26	42	numerical	numerical	ADJ
ap-1690	26	43	solution	solution	NOUN
ap-1690	26	44	of	of	ADP
ap-1690	26	45	the	the	DET
ap-1690	26	46	interaction	interaction	NOUN
ap-1690	26	47	of	of	ADP
ap-1690	26	48	2	2	NUM
ap-1690	26	49	-	-	PUNCT
ap-1690	26	50	d	d	NOUN
ap-1690	26	51	incompressible	incompressible	ADJ
ap-1690	26	52	viscous	viscous	ADJ
ap-1690	26	53	flow	flow	NOUN
ap-1690	26	54	and	and	CCONJ
ap-1690	26	55	the	the	DET
ap-1690	26	56	elastically	elastically	ADV
ap-1690	26	57	supported	support	VERB
ap-1690	26	58	profile	profile	NOUN
ap-1690	26	59	naca	naca	NOUN
ap-1690	26	60	0012	0012	NUM
ap-1690	26	61	.	.	PUNCT
ap-1690	27	1	the	the	DET
ap-1690	27	2	mathematical	mathematical	ADJ
ap-1690	27	3	model	model	NOUN
ap-1690	27	4	of	of	ADP
ap-1690	27	5	the	the	DET
ap-1690	27	6	flow	flow	NOUN
ap-1690	27	7	is	be	AUX
ap-1690	27	8	represented	represent	VERB
ap-1690	27	9	by	by	ADP
ap-1690	27	10	the	the	DET
ap-1690	27	11	incompressible	incompressible	ADJ
ap-1690	27	12	navier	navier	NOUN
ap-1690	27	13	-	-	PUNCT
ap-1690	27	14	stokes	stoke	NOUN
ap-1690	27	15	equations	equation	NOUN
ap-1690	27	16	.	.	PUNCT
ap-1690	28	1	the	the	DET
ap-1690	28	2	profile	profile	NOUN
ap-1690	28	3	motion	motion	NOUN
ap-1690	28	4	is	be	AUX
ap-1690	28	5	described	describe	VERB
ap-1690	28	6	in	in	ADP
ap-1690	28	7	section	section	NOUN
ap-1690	28	8	2	2	NUM
ap-1690	28	9	by	by	ADP
ap-1690	28	10	two	two	NUM
ap-1690	28	11	nonlinear	nonlinear	ADJ
ap-1690	28	12	ordinary	ordinary	ADJ
ap-1690	28	13	differential	differential	ADJ
ap-1690	28	14	equations	equation	NOUN
ap-1690	28	15	(	(	PUNCT
ap-1690	28	16	odes	ode	NOUN
ap-1690	28	17	)	)	PUNCT
ap-1690	28	18	for	for	ADP
ap-1690	28	19	rotation	rotation	NOUN
ap-1690	28	20	around	around	ADP
ap-1690	28	21	an	an	DET
ap-1690	28	22	elastic	elastic	ADJ
ap-1690	28	23	axis	axis	NOUN
ap-1690	28	24	and	and	CCONJ
ap-1690	28	25	oscillation	oscillation	NOUN
ap-1690	28	26	in	in	ADP
ap-1690	28	27	the	the	DET
ap-1690	28	28	vertical	vertical	ADJ
ap-1690	28	29	direction	direction	NOUN
ap-1690	28	30	.	.	PUNCT
ap-1690	29	1	the	the	DET
ap-1690	29	2	application	application	NOUN
ap-1690	29	3	of	of	ADP
ap-1690	29	4	the	the	DET
ap-1690	29	5	fvm	fvm	ADJ
ap-1690	29	6	numerical	numerical	ADJ
ap-1690	29	7	scheme	scheme	NOUN
ap-1690	29	8	is	be	AUX
ap-1690	29	9	described	describe	VERB
ap-1690	29	10	in	in	ADP
ap-1690	29	11	section	section	NOUN
ap-1690	29	12	3	3	NUM
ap-1690	29	13	.	.	PUNCT
ap-1690	30	1	the	the	DET
ap-1690	30	2	dual	dual	ADJ
ap-1690	30	3	-	-	PUNCT
ap-1690	30	4	time	time	NOUN
ap-1690	30	5	stepping	stepping	ADJ
ap-1690	30	6	method	method	NOUN
ap-1690	30	7	is	be	AUX
ap-1690	30	8	applied	apply	VERB
ap-1690	30	9	to	to	ADP
ap-1690	30	10	the	the	DET
ap-1690	30	11	numerical	numerical	ADJ
ap-1690	30	12	solution	solution	NOUN
ap-1690	30	13	of	of	ADP
ap-1690	30	14	unsteady	unsteady	ADJ
ap-1690	30	15	simulations	simulation	NOUN
ap-1690	30	16	and	and	CCONJ
ap-1690	30	17	the	the	DET
ap-1690	30	18	runge	runge	NOUN
ap-1690	30	19	-	-	PUNCT
ap-1690	30	20	kutta	kutta	NOUN
ap-1690	30	21	method	method	NOUN
ap-1690	30	22	is	be	AUX
ap-1690	30	23	used	use	VERB
ap-1690	30	24	to	to	PART
ap-1690	30	25	solve	solve	VERB
ap-1690	30	26	odes	ode	NOUN
ap-1690	30	27	numerically	numerically	ADV
ap-1690	30	28	.	.	PUNCT
ap-1690	31	1	the	the	DET
ap-1690	31	2	arbitrary	arbitrary	ADJ
ap-1690	31	3	lagrangianeulerian	lagrangianeulerian	ADJ
ap-1690	31	4	(	(	PUNCT
ap-1690	31	5	ale	ale	NOUN
ap-1690	31	6	)	)	PUNCT
ap-1690	31	7	method	method	NOUN
ap-1690	31	8	is	be	AUX
ap-1690	31	9	employed	employ	VERB
ap-1690	31	10	to	to	PART
ap-1690	31	11	cope	cope	VERB
ap-1690	31	12	with	with	ADP
ap-1690	31	13	strong	strong	ADJ
ap-1690	31	14	distortions	distortion	NOUN
ap-1690	31	15	of	of	ADP
ap-1690	31	16	the	the	DET
ap-1690	31	17	computational	computational	ADJ
ap-1690	31	18	domain	domain	NOUN
ap-1690	31	19	due	due	ADP
ap-1690	31	20	to	to	PART
ap-1690	31	21	profile	profile	VERB
ap-1690	31	22	motion	motion	NOUN
ap-1690	31	23	.	.	PUNCT
ap-1690	32	1	the	the	DET
ap-1690	32	2	numerical	numerical	ADJ
ap-1690	32	3	scheme	scheme	NOUN
ap-1690	32	4	used	use	VERB
ap-1690	32	5	for	for	ADP
ap-1690	32	6	105	105	NUM
ap-1690	32	7	acta	acta	PROPN
ap-1690	32	8	polytechnica	polytechnica	PROPN
ap-1690	32	9	vol	vol	NOUN
ap-1690	32	10	.	.	PROPN
ap-1690	33	1	52	52	NUM
ap-1690	33	2	no	no	NOUN
ap-1690	33	3	.	.	PUNCT
ap-1690	34	1	6/2012	6/2012	NUM
ap-1690	34	2	khh	khh	NOUN
ap-1690	34	3	(	(	PUNCT
ap-1690	34	4	u	u	NOUN
ap-1690	34	5	,	,	PUNCT
ap-1690	34	6	v	v	NOUN
ap-1690	34	7	)	)	PUNCT
ap-1690	34	8	t8	t8	NOUN
ap-1690	34	9	8	8	NUM
ap-1690	34	10	kϕϕ	kϕϕ	PROPN
ap-1690	34	11	ea	ea	ADP
ap-1690	34	12	cg	cg	PROPN
ap-1690	34	13	l(t)m(t	l(t)m(t	PROPN
ap-1690	34	14	)	)	PUNCT
ap-1690	34	15	h	h	NOUN
ap-1690	34	16	ϕ	ϕ	NOUN
ap-1690	34	17	figure	figure	NOUN
ap-1690	34	18	1	1	NUM
ap-1690	34	19	:	:	PUNCT
ap-1690	34	20	elastic	elastic	ADJ
ap-1690	34	21	support	support	NOUN
ap-1690	34	22	of	of	ADP
ap-1690	34	23	the	the	DET
ap-1690	34	24	profile	profile	NOUN
ap-1690	34	25	on	on	ADP
ap-1690	34	26	translational	translational	ADJ
ap-1690	34	27	and	and	CCONJ
ap-1690	34	28	rotational	rotational	ADJ
ap-1690	34	29	springs	spring	NOUN
ap-1690	34	30	.	.	PUNCT
ap-1690	35	1	unsteady	unsteady	ADJ
ap-1690	35	2	flow	flow	NOUN
ap-1690	35	3	calculations	calculation	NOUN
ap-1690	35	4	satisfies	satisfy	VERB
ap-1690	35	5	the	the	DET
ap-1690	35	6	geometric	geometric	ADJ
ap-1690	35	7	conservation	conservation	NOUN
ap-1690	35	8	law	law	NOUN
ap-1690	35	9	(	(	PUNCT
ap-1690	35	10	gcl	gcl	NOUN
ap-1690	35	11	)	)	PUNCT
ap-1690	35	12	,	,	PUNCT
ap-1690	35	13	cf	cf	X
ap-1690	36	1	[	[	X
ap-1690	36	2	19	19	NUM
ap-1690	36	3	]	]	PUNCT
ap-1690	36	4	.	.	PUNCT
ap-1690	37	1	the	the	DET
ap-1690	37	2	application	application	NOUN
ap-1690	37	3	of	of	ADP
ap-1690	37	4	fem	fem	NOUN
ap-1690	37	5	is	be	AUX
ap-1690	37	6	described	describe	VERB
ap-1690	37	7	in	in	ADP
ap-1690	37	8	section	section	NOUN
ap-1690	37	9	4	4	NUM
ap-1690	37	10	.	.	PUNCT
ap-1690	37	11	section	section	NOUN
ap-1690	37	12	5	5	NUM
ap-1690	37	13	presents	present	VERB
ap-1690	37	14	numerical	numerical	ADJ
ap-1690	37	15	results	result	NOUN
ap-1690	37	16	for	for	ADP
ap-1690	37	17	both	both	DET
ap-1690	37	18	methods	method	NOUN
ap-1690	37	19	.	.	PUNCT
ap-1690	38	1	2	2	NUM
ap-1690	38	2	equations	equation	NOUN
ap-1690	38	3	of	of	ADP
ap-1690	38	4	profile	profile	NOUN
ap-1690	38	5	motion	motion	NOUN
ap-1690	38	6	a	a	DET
ap-1690	38	7	vibrating	vibrating	NOUN
ap-1690	38	8	profile	profile	NOUN
ap-1690	38	9	with	with	ADP
ap-1690	38	10	2	2	NUM
ap-1690	38	11	-	-	PUNCT
ap-1690	38	12	dof	dof	NOUN
ap-1690	38	13	can	can	AUX
ap-1690	38	14	oscillate	oscillate	VERB
ap-1690	38	15	in	in	ADP
ap-1690	38	16	the	the	DET
ap-1690	38	17	vertical	vertical	ADJ
ap-1690	38	18	direction	direction	NOUN
ap-1690	38	19	and	and	CCONJ
ap-1690	38	20	rotate	rotate	VERB
ap-1690	38	21	around	around	ADP
ap-1690	38	22	the	the	DET
ap-1690	38	23	elastic	elastic	ADJ
ap-1690	38	24	axis	axis	NOUN
ap-1690	38	25	ea	ea	PROPN
ap-1690	38	26	(	(	PUNCT
ap-1690	38	27	see	see	VERB
ap-1690	38	28	figure	figure	NOUN
ap-1690	38	29	1	1	NUM
ap-1690	38	30	)	)	PUNCT
ap-1690	38	31	.	.	PUNCT
ap-1690	39	1	the	the	DET
ap-1690	39	2	motion	motion	NOUN
ap-1690	39	3	is	be	AUX
ap-1690	39	4	described	describe	VERB
ap-1690	39	5	by	by	ADP
ap-1690	39	6	the	the	DET
ap-1690	39	7	following	follow	VERB
ap-1690	39	8	system	system	NOUN
ap-1690	39	9	of	of	ADP
ap-1690	39	10	two	two	NUM
ap-1690	39	11	nonlinear	nonlinear	ADJ
ap-1690	39	12	ordinary	ordinary	ADJ
ap-1690	39	13	differential	differential	ADJ
ap-1690	39	14	equations	equation	NOUN
ap-1690	39	15	[	[	X
ap-1690	39	16	17	17	NUM
ap-1690	39	17	]	]	X
ap-1690	39	18	:	:	PUNCT
ap-1690	39	19	mḧ+	mḧ+	X
ap-1690	39	20	sϕϕ̈	sϕϕ̈	PROPN
ap-1690	39	21	cosϕ−	cosϕ−	PROPN
ap-1690	39	22	sϕϕ̇2	sϕϕ̇2	PROPN
ap-1690	39	23	sinϕ+	sinϕ+	ADP
ap-1690	39	24	khh	khh	PROPN
ap-1690	39	25	=	=	SYM
ap-1690	39	26	−l	−l	NOUN
ap-1690	39	27	,	,	PUNCT
ap-1690	39	28	sϕḧ	sϕḧ	NOUN
ap-1690	39	29	cosϕ+	cosϕ+	X
ap-1690	39	30	iϕϕ̈+	iϕϕ̈+	DET
ap-1690	39	31	kϕϕ	kϕϕ	NOUN
ap-1690	39	32	=	=	SYM
ap-1690	39	33	m	m	PROPN
ap-1690	39	34	,	,	PUNCT
ap-1690	39	35	(	(	PUNCT
ap-1690	39	36	1	1	X
ap-1690	39	37	)	)	PUNCT
ap-1690	39	38	where	where	SCONJ
ap-1690	39	39	h	h	NOUN
ap-1690	39	40	is	be	AUX
ap-1690	39	41	vertical	vertical	ADJ
ap-1690	39	42	displacement	displacement	NOUN
ap-1690	39	43	of	of	ADP
ap-1690	39	44	the	the	DET
ap-1690	39	45	elastic	elastic	ADJ
ap-1690	39	46	axis	axis	NOUN
ap-1690	39	47	(	(	PUNCT
ap-1690	39	48	downwards	downward	NOUN
ap-1690	39	49	positive	positive	ADJ
ap-1690	39	50	)	)	PUNCT
ap-1690	40	1	[	[	X
ap-1690	40	2	m	m	X
ap-1690	40	3	]	]	X
ap-1690	40	4	,	,	PUNCT
ap-1690	40	5	ϕ	ϕ	PROPN
ap-1690	40	6	is	be	AUX
ap-1690	40	7	rotation	rotation	NOUN
ap-1690	40	8	angle	angle	NOUN
ap-1690	40	9	around	around	ADP
ap-1690	40	10	the	the	DET
ap-1690	40	11	elastic	elastic	ADJ
ap-1690	40	12	axis	axis	NOUN
ap-1690	40	13	(	(	PUNCT
ap-1690	40	14	clockwise	clockwise	NOUN
ap-1690	40	15	positive	positive	ADJ
ap-1690	40	16	)	)	PUNCT
ap-1690	41	1	[	[	X
ap-1690	41	2	rad],m	rad],m	NOUN
ap-1690	41	3	is	be	AUX
ap-1690	41	4	the	the	DET
ap-1690	41	5	mass	mass	NOUN
ap-1690	41	6	of	of	ADP
ap-1690	41	7	the	the	DET
ap-1690	41	8	profile	profile	NOUN
ap-1690	41	9	[	[	X
ap-1690	41	10	kg	kg	X
ap-1690	41	11	]	]	X
ap-1690	41	12	,	,	PUNCT
ap-1690	41	13	sϕ	sϕ	PROPN
ap-1690	41	14	is	be	AUX
ap-1690	41	15	the	the	DET
ap-1690	41	16	static	static	ADJ
ap-1690	41	17	moment	moment	NOUN
ap-1690	41	18	around	around	ADP
ap-1690	41	19	the	the	DET
ap-1690	41	20	elastic	elastic	ADJ
ap-1690	41	21	axis	axis	NOUN
ap-1690	42	1	[	[	X
ap-1690	42	2	kgm	kgm	PROPN
ap-1690	42	3	]	]	X
ap-1690	42	4	,	,	PUNCT
ap-1690	42	5	kh	kh	PROPN
ap-1690	42	6	is	be	AUX
ap-1690	42	7	the	the	DET
ap-1690	42	8	bending	bend	VERB
ap-1690	42	9	stiffness	stiffness	NOUN
ap-1690	42	10	[	[	X
ap-1690	42	11	n	n	X
ap-1690	42	12	/	/	SYM
ap-1690	42	13	m	m	PROPN
ap-1690	42	14	]	]	X
ap-1690	42	15	,	,	PUNCT
ap-1690	42	16	iϕ	iϕ	NOUN
ap-1690	42	17	is	be	AUX
ap-1690	42	18	the	the	DET
ap-1690	42	19	inertia	inertia	NOUN
ap-1690	42	20	moment	moment	NOUN
ap-1690	42	21	around	around	ADP
ap-1690	42	22	the	the	DET
ap-1690	42	23	elastic	elastic	ADJ
ap-1690	42	24	axis	axis	NOUN
ap-1690	42	25	[	[	X
ap-1690	42	26	kgm2	kgm2	NOUN
ap-1690	42	27	]	]	PUNCT
ap-1690	42	28	,	,	PUNCT
ap-1690	42	29	and	and	CCONJ
ap-1690	42	30	kϕ	kϕ	INTJ
ap-1690	42	31	is	be	AUX
ap-1690	42	32	the	the	DET
ap-1690	42	33	torsional	torsional	ADJ
ap-1690	42	34	stiffness	stiffness	NOUN
ap-1690	42	35	[	[	X
ap-1690	42	36	nm	nm	NOUN
ap-1690	42	37	/	/	SYM
ap-1690	42	38	rad	rad	NOUN
ap-1690	42	39	]	]	X
ap-1690	42	40	.	.	PUNCT
ap-1690	43	1	the	the	DET
ap-1690	43	2	aerodynamic	aerodynamic	ADJ
ap-1690	43	3	lift	lift	NOUN
ap-1690	43	4	force	force	NOUN
ap-1690	43	5	l	l	NOUN
ap-1690	44	1	[	[	X
ap-1690	44	2	n	n	X
ap-1690	44	3	]	]	X
ap-1690	44	4	acting	act	VERB
ap-1690	44	5	in	in	ADP
ap-1690	44	6	the	the	DET
ap-1690	44	7	vertical	vertical	ADJ
ap-1690	44	8	direction	direction	NOUN
ap-1690	44	9	(	(	PUNCT
ap-1690	44	10	upwards	upwards	ADV
ap-1690	44	11	positive	positive	ADJ
ap-1690	44	12	)	)	PUNCT
ap-1690	44	13	and	and	CCONJ
ap-1690	44	14	the	the	DET
ap-1690	44	15	torsional	torsional	ADJ
ap-1690	44	16	moment	moment	NOUN
ap-1690	44	17	m	m	VERB
ap-1690	45	1	[	[	X
ap-1690	45	2	nm	nm	X
ap-1690	45	3	]	]	X
ap-1690	45	4	(	(	PUNCT
ap-1690	45	5	clockwise	clockwise	NOUN
ap-1690	45	6	positive	positive	ADJ
ap-1690	45	7	)	)	PUNCT
ap-1690	45	8	are	be	AUX
ap-1690	45	9	defined	define	VERB
ap-1690	45	10	as	as	ADP
ap-1690	45	11	l	l	NOUN
ap-1690	45	12	=	=	PUNCT
ap-1690	45	13	−dρu2	−dρu2	NOUN
ap-1690	45	14	∞c	∞c	NUM
ap-1690	46	1	∫	∫	PROPN
ap-1690	46	2	γwt	γwt	NOUN
ap-1690	46	3	2∑	2∑	NUM
ap-1690	47	1	j=1	j=1	NOUN
ap-1690	47	2	σ2jnjds	σ2jnjds	INTJ
ap-1690	47	3	,	,	PUNCT
ap-1690	47	4	(	(	PUNCT
ap-1690	47	5	2	2	X
ap-1690	47	6	)	)	PUNCT
ap-1690	47	7	m	m	PROPN
ap-1690	47	8	=	=	SYM
ap-1690	47	9	dρu2	dρu2	PROPN
ap-1690	47	10	∞c	∞c	NUM
ap-1690	47	11	2	2	NUM
ap-1690	47	12	∫	∫	NOUN
ap-1690	47	13	γwt	γwt	NOUN
ap-1690	48	1	2∑	2∑	NUM
ap-1690	49	1	i	i	PRON
ap-1690	49	2	,	,	PUNCT
ap-1690	49	3	j=1	j=1	PROPN
ap-1690	49	4	σijnjr	σijnjr	VERB
ap-1690	49	5	⊥	⊥	X
ap-1690	49	6	i	i	PRON
ap-1690	49	7	ds	ds	VERB
ap-1690	49	8	,	,	PUNCT
ap-1690	49	9	where	where	SCONJ
ap-1690	49	10	d	d	PROPN
ap-1690	49	11	[	[	X
ap-1690	49	12	m	m	X
ap-1690	49	13	]	]	X
ap-1690	49	14	is	be	AUX
ap-1690	49	15	the	the	DET
ap-1690	49	16	airfoil	airfoil	NOUN
ap-1690	49	17	depth	depth	NOUN
ap-1690	49	18	,	,	PUNCT
ap-1690	49	19	ρ	ρ	PROPN
ap-1690	49	20	[	[	X
ap-1690	49	21	kgm−3	kgm−3	X
ap-1690	49	22	]	]	X
ap-1690	49	23	is	be	AUX
ap-1690	49	24	the	the	DET
ap-1690	49	25	constant	constant	ADJ
ap-1690	49	26	fluid	fluid	ADJ
ap-1690	49	27	density	density	NOUN
ap-1690	49	28	,	,	PUNCT
ap-1690	49	29	u∞	u∞	PUNCT
ap-1690	50	1	[	[	X
ap-1690	50	2	m	m	NUM
ap-1690	50	3	s−1	s−1	PROPN
ap-1690	50	4	]	]	PUNCT
ap-1690	50	5	denotes	denote	VERB
ap-1690	50	6	the	the	DET
ap-1690	50	7	magnitude	magnitude	NOUN
ap-1690	50	8	of	of	ADP
ap-1690	50	9	the	the	DET
ap-1690	50	10	far	far	ADJ
ap-1690	50	11	field	field	NOUN
ap-1690	50	12	velocity	velocity	NOUN
ap-1690	50	13	,	,	PUNCT
ap-1690	50	14	c	c	X
ap-1690	51	1	[	[	X
ap-1690	51	2	m	m	X
ap-1690	51	3	]	]	X
ap-1690	51	4	denotes	denote	VERB
ap-1690	51	5	the	the	DET
ap-1690	51	6	airfoil	airfoil	NOUN
ap-1690	51	7	chord	chord	NOUN
ap-1690	51	8	,	,	PUNCT
ap-1690	51	9	n	n	NOUN
ap-1690	51	10	=	=	SYM
ap-1690	51	11	(	(	PUNCT
ap-1690	51	12	n1	n1	NOUN
ap-1690	51	13	,	,	PUNCT
ap-1690	51	14	n2	n2	ADJ
ap-1690	51	15	)	)	PUNCT
ap-1690	51	16	is	be	AUX
ap-1690	51	17	the	the	DET
ap-1690	51	18	unit	unit	NOUN
ap-1690	51	19	inner	inner	ADV
ap-1690	51	20	normal	normal	ADJ
ap-1690	51	21	to	to	ADP
ap-1690	51	22	the	the	DET
ap-1690	51	23	profile	profile	NOUN
ap-1690	51	24	surface	surface	NOUN
ap-1690	51	25	γwt	γwt	NOUN
ap-1690	51	26	(	(	PUNCT
ap-1690	51	27	here	here	ADV
ap-1690	51	28	,	,	PUNCT
ap-1690	51	29	the	the	DET
ap-1690	51	30	concept	concept	NOUN
ap-1690	51	31	of	of	ADP
ap-1690	51	32	non	non	ADJ
ap-1690	51	33	-	-	ADJ
ap-1690	51	34	dimensional	dimensional	ADJ
ap-1690	51	35	variables	variable	NOUN
ap-1690	51	36	was	be	AUX
ap-1690	51	37	used	use	VERB
ap-1690	51	38	,	,	PUNCT
ap-1690	51	39	cf	cf	INTJ
ap-1690	51	40	.	.	PUNCT
ap-1690	52	1	[	[	X
ap-1690	52	2	11	11	NUM
ap-1690	52	3	]	]	NUM
ap-1690	52	4	)	)	PUNCT
ap-1690	52	5	.	.	PUNCT
ap-1690	53	1	furthermore	furthermore	ADV
ap-1690	53	2	,	,	PUNCT
ap-1690	53	3	vector	vector	NOUN
ap-1690	53	4	r⊥	r⊥	NOUN
ap-1690	53	5	is	be	AUX
ap-1690	53	6	given	give	VERB
ap-1690	53	7	by	by	ADP
ap-1690	53	8	r⊥	r⊥	NOUN
ap-1690	53	9	=	=	SYM
ap-1690	53	10	(	(	PUNCT
ap-1690	53	11	r⊥1	r⊥1	PROPN
ap-1690	53	12	,	,	PUNCT
ap-1690	53	13	r⊥2	r⊥2	PROPN
ap-1690	53	14	)	)	PUNCT
ap-1690	54	1	=	=	SYM
ap-1690	54	2	(	(	PUNCT
ap-1690	54	3	−(y	−(y	NOUN
ap-1690	54	4	−	−	NOUN
ap-1690	54	5	yea	yea	NOUN
ap-1690	54	6	)	)	PUNCT
ap-1690	54	7	,	,	PUNCT
ap-1690	54	8	x	x	PUNCT
ap-1690	54	9	−	−	NOUN
ap-1690	54	10	xea	xea	PROPN
ap-1690	54	11	)	)	PUNCT
ap-1690	54	12	,	,	PUNCT
ap-1690	54	13	where	where	SCONJ
ap-1690	54	14	x	x	X
ap-1690	54	15	,	,	PUNCT
ap-1690	54	16	y	y	PROPN
ap-1690	54	17	are	be	AUX
ap-1690	54	18	the	the	DET
ap-1690	54	19	nondimensional	nondimensional	ADJ
ap-1690	54	20	coordinates	coordinate	NOUN
ap-1690	54	21	of	of	ADP
ap-1690	54	22	a	a	DET
ap-1690	54	23	point	point	NOUN
ap-1690	54	24	on	on	ADP
ap-1690	54	25	the	the	DET
ap-1690	54	26	profile	profile	NOUN
ap-1690	54	27	surface	surface	NOUN
ap-1690	54	28	(	(	PUNCT
ap-1690	54	29	i.e.	i.e.	X
ap-1690	54	30	,	,	PUNCT
ap-1690	54	31	the	the	DET
ap-1690	54	32	physical	physical	ADJ
ap-1690	54	33	coordinates	coordinate	NOUN
ap-1690	54	34	divided	divide	VERB
ap-1690	54	35	by	by	ADP
ap-1690	54	36	the	the	DET
ap-1690	54	37	r	r	NOUN
ap-1690	54	38	d	d	PROPN
ap-1690	54	39	n	n	CCONJ
ap-1690	54	40	r	r	NOUN
ap-1690	54	41	ea	ea	NOUN
ap-1690	54	42	figure	figure	NOUN
ap-1690	54	43	2	2	NUM
ap-1690	54	44	:	:	PUNCT
ap-1690	54	45	airfoil	airfoil	NOUN
ap-1690	54	46	segment	segment	NOUN
ap-1690	54	47	.	.	PUNCT
ap-1690	55	1	airfoil	airfoil	NOUN
ap-1690	55	2	chord	chord	NOUN
ap-1690	55	3	c	c	PROPN
ap-1690	55	4	)	)	PUNCT
ap-1690	55	5	,	,	PUNCT
ap-1690	55	6	γwt	γwt	NOUN
ap-1690	55	7	denotes	denote	VERB
ap-1690	55	8	the	the	DET
ap-1690	55	9	moving	move	VERB
ap-1690	55	10	part	part	NOUN
ap-1690	55	11	of	of	ADP
ap-1690	55	12	the	the	DET
ap-1690	55	13	boundary	boundary	ADJ
ap-1690	55	14	(	(	PUNCT
ap-1690	55	15	i.e.	i.e.	X
ap-1690	55	16	,	,	PUNCT
ap-1690	55	17	the	the	DET
ap-1690	55	18	surface	surface	NOUN
ap-1690	55	19	of	of	ADP
ap-1690	55	20	the	the	DET
ap-1690	55	21	airfoil	airfoil	NOUN
ap-1690	55	22	)	)	PUNCT
ap-1690	55	23	,	,	PUNCT
ap-1690	55	24	and	and	CCONJ
ap-1690	55	25	(	(	PUNCT
ap-1690	55	26	xea	xea	PROPN
ap-1690	55	27	,	,	PUNCT
ap-1690	55	28	yea	yea	ADJ
ap-1690	55	29	)	)	PUNCT
ap-1690	55	30	are	be	AUX
ap-1690	55	31	the	the	DET
ap-1690	55	32	non	non	ADJ
ap-1690	55	33	-	-	ADJ
ap-1690	55	34	dimensional	dimensional	ADJ
ap-1690	55	35	coordinates	coordinate	NOUN
ap-1690	55	36	of	of	ADP
ap-1690	55	37	the	the	DET
ap-1690	55	38	elastic	elastic	ADJ
ap-1690	55	39	axis	axis	NOUN
ap-1690	55	40	(	(	PUNCT
ap-1690	55	41	see	see	VERB
ap-1690	55	42	figure	figure	NOUN
ap-1690	55	43	2	2	NUM
ap-1690	55	44	)	)	PUNCT
ap-1690	55	45	.	.	PUNCT
ap-1690	56	1	the	the	DET
ap-1690	56	2	components	component	NOUN
ap-1690	56	3	of	of	ADP
ap-1690	56	4	the	the	DET
ap-1690	56	5	(	(	PUNCT
ap-1690	56	6	non	non	ADJ
ap-1690	56	7	-	-	ADJ
ap-1690	56	8	dimensional	dimensional	ADJ
ap-1690	56	9	)	)	PUNCT
ap-1690	56	10	stress	stress	NOUN
ap-1690	56	11	tensor	tensor	NOUN
ap-1690	56	12	σij	σij	NOUN
ap-1690	56	13	are	be	AUX
ap-1690	56	14	given	give	VERB
ap-1690	56	15	by	by	ADP
ap-1690	56	16	σ11	σ11	PROPN
ap-1690	56	17	=	=	SYM
ap-1690	56	18	(	(	PUNCT
ap-1690	56	19	−p+	−p+	PROPN
ap-1690	56	20	2	2	NUM
ap-1690	56	21	re	re	ADP
ap-1690	56	22	∂u	∂u	PROPN
ap-1690	56	23	∂x	∂x	PROPN
ap-1690	56	24	)	)	PUNCT
ap-1690	56	25	σ12	σ12	NOUN
ap-1690	56	26	=	=	SYM
ap-1690	56	27	σ21	σ21	NOUN
ap-1690	56	28	=	=	SYM
ap-1690	56	29	1	1	NUM
ap-1690	56	30	re	re	X
ap-1690	56	31	(	(	PUNCT
ap-1690	56	32	∂u	∂u	PROPN
ap-1690	56	33	∂y	∂y	PROPN
ap-1690	56	34	+	+	CCONJ
ap-1690	56	35	∂v	∂v	PROPN
ap-1690	56	36	∂x	∂x	PROPN
ap-1690	56	37	)	)	PUNCT
ap-1690	56	38	(	(	PUNCT
ap-1690	56	39	3	3	X
ap-1690	56	40	)	)	PUNCT
ap-1690	56	41	σ22	σ22	PROPN
ap-1690	56	42	=	=	SYM
ap-1690	56	43	ρ	ρ	PROPN
ap-1690	56	44	(	(	PUNCT
ap-1690	56	45	−p+	−p+	PROPN
ap-1690	56	46	2	2	NUM
ap-1690	56	47	re	re	NOUN
ap-1690	56	48	∂v	∂v	PROPN
ap-1690	56	49	∂y	∂y	PROPN
ap-1690	56	50	)	)	PUNCT
ap-1690	56	51	,	,	PUNCT
ap-1690	56	52	where	where	SCONJ
ap-1690	56	53	u	u	NOUN
ap-1690	56	54	=	=	SYM
ap-1690	56	55	(	(	PUNCT
ap-1690	56	56	u	u	NOUN
ap-1690	56	57	,	,	PUNCT
ap-1690	56	58	v	v	NOUN
ap-1690	56	59	)	)	PUNCT
ap-1690	56	60	is	be	AUX
ap-1690	56	61	the	the	DET
ap-1690	56	62	non	non	ADJ
ap-1690	56	63	-	-	ADJ
ap-1690	56	64	dimensional	dimensional	ADJ
ap-1690	56	65	fluid	fluid	ADJ
ap-1690	56	66	velocity	velocity	NOUN
ap-1690	56	67	vector	vector	NOUN
ap-1690	56	68	,	,	PUNCT
ap-1690	56	69	p	p	PROPN
ap-1690	56	70	is	be	AUX
ap-1690	56	71	the	the	DET
ap-1690	56	72	non	non	ADJ
ap-1690	56	73	-	-	ADJ
ap-1690	56	74	dimensional	dimensional	ADJ
ap-1690	56	75	pressure	pressure	NOUN
ap-1690	56	76	,	,	PUNCT
ap-1690	56	77	re	re	VERB
ap-1690	56	78	is	be	AUX
ap-1690	56	79	the	the	DET
ap-1690	56	80	reynolds	reynolds	PROPN
ap-1690	56	81	number	number	NOUN
ap-1690	56	82	defined	define	VERB
ap-1690	56	83	as	as	ADP
ap-1690	56	84	re	re	NOUN
ap-1690	56	85	=	=	NOUN
ap-1690	56	86	u∞c	u∞c	ADJ
ap-1690	56	87	ν	ν	NOUN
ap-1690	56	88	,	,	PUNCT
ap-1690	56	89	and	and	CCONJ
ap-1690	56	90	ν	ν	X
ap-1690	56	91	[	[	X
ap-1690	56	92	m2	m2	PROPN
ap-1690	56	93	s−1	s−1	PROPN
ap-1690	56	94	]	]	PUNCT
ap-1690	56	95	is	be	AUX
ap-1690	56	96	the	the	DET
ap-1690	56	97	fluid	fluid	ADJ
ap-1690	56	98	kinematic	kinematic	ADJ
ap-1690	56	99	viscosity	viscosity	NOUN
ap-1690	56	100	.	.	PUNCT
ap-1690	57	1	equations	equation	NOUN
ap-1690	57	2	(	(	PUNCT
ap-1690	57	3	2	2	NUM
ap-1690	57	4	)	)	PUNCT
ap-1690	57	5	,	,	PUNCT
ap-1690	57	6	(	(	PUNCT
ap-1690	57	7	3	3	X
ap-1690	57	8	)	)	PUNCT
ap-1690	57	9	together	together	ADV
ap-1690	57	10	with	with	ADP
ap-1690	57	11	the	the	DET
ap-1690	57	12	boundary	boundary	ADJ
ap-1690	57	13	conditions	condition	NOUN
ap-1690	57	14	for	for	ADP
ap-1690	57	15	the	the	DET
ap-1690	57	16	velocity	velocity	NOUN
ap-1690	57	17	on	on	ADP
ap-1690	57	18	the	the	DET
ap-1690	57	19	moving	move	VERB
ap-1690	57	20	part	part	NOUN
ap-1690	57	21	γwt	γwt	NOUN
ap-1690	57	22	of	of	ADP
ap-1690	57	23	the	the	DET
ap-1690	57	24	boundary	boundary	NOUN
ap-1690	57	25	represent	represent	VERB
ap-1690	57	26	the	the	DET
ap-1690	57	27	coupling	coupling	NOUN
ap-1690	57	28	of	of	ADP
ap-1690	57	29	the	the	DET
ap-1690	57	30	fluid	fluid	NOUN
ap-1690	57	31	with	with	ADP
ap-1690	57	32	the	the	DET
ap-1690	57	33	structure	structure	NOUN
ap-1690	57	34	.	.	PUNCT
ap-1690	58	1	system	system	NOUN
ap-1690	58	2	of	of	ADP
ap-1690	58	3	equations	equation	NOUN
ap-1690	58	4	(	(	PUNCT
ap-1690	58	5	1	1	X
ap-1690	58	6	)	)	PUNCT
ap-1690	58	7	is	be	AUX
ap-1690	58	8	supplemented	supplement	VERB
ap-1690	58	9	by	by	ADP
ap-1690	58	10	the	the	DET
ap-1690	58	11	initial	initial	ADJ
ap-1690	58	12	conditions	condition	NOUN
ap-1690	58	13	prescribing	prescribe	VERB
ap-1690	58	14	the	the	DET
ap-1690	58	15	values	value	NOUN
ap-1690	58	16	h(0	h(0	PROPN
ap-1690	58	17	)	)	PUNCT
ap-1690	58	18	,	,	PUNCT
ap-1690	58	19	ϕ(0	ϕ(0	PROPN
ap-1690	58	20	)	)	PUNCT
ap-1690	58	21	,	,	PUNCT
ap-1690	58	22	ḣ(0	ḣ(0	PROPN
ap-1690	58	23	)	)	PUNCT
ap-1690	58	24	,	,	PUNCT
ap-1690	58	25	ϕ̇(0	ϕ̇(0	NOUN
ap-1690	58	26	)	)	PUNCT
ap-1690	58	27	.	.	PUNCT
ap-1690	59	1	furthermore	furthermore	ADV
ap-1690	59	2	,	,	PUNCT
ap-1690	59	3	it	it	PRON
ap-1690	59	4	is	be	AUX
ap-1690	59	5	transformed	transform	VERB
ap-1690	59	6	to	to	ADP
ap-1690	59	7	the	the	DET
ap-1690	59	8	system	system	NOUN
ap-1690	59	9	of	of	ADP
ap-1690	59	10	first	first	ADJ
ap-1690	59	11	-	-	PUNCT
ap-1690	59	12	order	order	NOUN
ap-1690	59	13	ordinary	ordinary	ADJ
ap-1690	59	14	differential	differential	ADJ
ap-1690	59	15	equations	equation	NOUN
ap-1690	59	16	and	and	CCONJ
ap-1690	59	17	solved	solve	VERB
ap-1690	59	18	numerically	numerically	ADV
ap-1690	59	19	by	by	ADP
ap-1690	59	20	the	the	DET
ap-1690	59	21	fourth	fourth	ADJ
ap-1690	59	22	-	-	PUNCT
ap-1690	59	23	order	order	NOUN
ap-1690	59	24	multistage	multistage	NOUN
ap-1690	59	25	runge	runge	NOUN
ap-1690	59	26	-	-	PUNCT
ap-1690	59	27	kutta	kutta	NOUN
ap-1690	59	28	method	method	NOUN
ap-1690	59	29	.	.	PUNCT
ap-1690	60	1	3	3	NUM
ap-1690	60	2	finite	finite	NOUN
ap-1690	60	3	volume	volume	NOUN
ap-1690	60	4	method	method	NOUN
ap-1690	60	5	3.1	3.1	NUM
ap-1690	60	6	mathematical	mathematical	ADJ
ap-1690	60	7	model	model	NOUN
ap-1690	60	8	of	of	ADP
ap-1690	60	9	the	the	DET
ap-1690	60	10	flow	flow	NOUN
ap-1690	60	11	the	the	DET
ap-1690	60	12	flow	flow	NOUN
ap-1690	60	13	of	of	ADP
ap-1690	60	14	viscous	viscous	ADJ
ap-1690	60	15	incompressible	incompressible	ADJ
ap-1690	60	16	fluid	fluid	NOUN
ap-1690	60	17	in	in	ADP
ap-1690	60	18	the	the	DET
ap-1690	60	19	computational	computational	ADJ
ap-1690	60	20	domain	domain	NOUN
ap-1690	60	21	ωt	ωt	PART
ap-1690	60	22	is	be	AUX
ap-1690	60	23	described	describe	VERB
ap-1690	60	24	by	by	ADP
ap-1690	60	25	the	the	DET
ap-1690	60	26	twodimensional	twodimensional	PROPN
ap-1690	60	27	navier	navier	NOUN
ap-1690	60	28	-	-	PUNCT
ap-1690	60	29	stokes	stoke	NOUN
ap-1690	60	30	equations	equation	NOUN
ap-1690	60	31	written	write	VERB
ap-1690	60	32	in	in	ADP
ap-1690	60	33	the	the	DET
ap-1690	60	34	conservative	conservative	ADJ
ap-1690	60	35	form	form	NOUN
ap-1690	60	36	(	(	PUNCT
ap-1690	60	37	dw	dw	PROPN
ap-1690	60	38	)	)	PUNCT
ap-1690	60	39	t	t	PROPN
ap-1690	61	1	+	+	CCONJ
ap-1690	61	2	f	f	PROPN
ap-1690	61	3	cx	cx	PROPN
ap-1690	62	1	+	+	NOUN
ap-1690	62	2	gcy	gcy	NOUN
ap-1690	62	3	=	=	SYM
ap-1690	62	4	1	1	NUM
ap-1690	62	5	re	re	X
ap-1690	62	6	(	(	PUNCT
ap-1690	62	7	f	f	PROPN
ap-1690	62	8	vx	vx	PROPN
ap-1690	62	9	+	+	PROPN
ap-1690	62	10	gvy	gvy	NOUN
ap-1690	62	11	)	)	PUNCT
ap-1690	62	12	,	,	PUNCT
ap-1690	62	13	(	(	PUNCT
ap-1690	62	14	4	4	X
ap-1690	62	15	)	)	PUNCT
ap-1690	62	16	106	106	NUM
ap-1690	62	17	acta	acta	PROPN
ap-1690	62	18	polytechnica	polytechnica	PROPN
ap-1690	62	19	vol	vol	NOUN
ap-1690	62	20	.	.	PROPN
ap-1690	63	1	52	52	NUM
ap-1690	63	2	no	no	NOUN
ap-1690	63	3	.	.	PUNCT
ap-1690	64	1	6/2012	6/2012	NUM
ap-1690	64	2	where	where	SCONJ
ap-1690	64	3	w	w	NOUN
ap-1690	64	4	is	be	AUX
ap-1690	64	5	the	the	DET
ap-1690	64	6	vector	vector	NOUN
ap-1690	64	7	of	of	ADP
ap-1690	64	8	conservative	conservative	ADJ
ap-1690	64	9	variables	variable	NOUN
ap-1690	64	10	w	w	PROPN
ap-1690	64	11	=	=	PUNCT
ap-1690	64	12	(	(	PUNCT
ap-1690	64	13	p	p	X
ap-1690	64	14	,	,	PUNCT
ap-1690	64	15	u	u	NOUN
ap-1690	64	16	,	,	PUNCT
ap-1690	64	17	v)t	v)t	NUM
ap-1690	64	18	,	,	PUNCT
ap-1690	64	19	f	f	PROPN
ap-1690	64	20	c	c	X
ap-1690	64	21	=	=	SYM
ap-1690	64	22	f	f	PROPN
ap-1690	64	23	c(w	c(w	PROPN
ap-1690	64	24	)	)	PUNCT
ap-1690	64	25	,	,	PUNCT
ap-1690	64	26	gc	gc	PROPN
ap-1690	64	27	=	=	PROPN
ap-1690	64	28	gc(w	gc(w	X
ap-1690	64	29	)	)	PUNCT
ap-1690	64	30	are	be	AUX
ap-1690	64	31	the	the	DET
ap-1690	64	32	inviscid	inviscid	ADJ
ap-1690	64	33	physical	physical	ADJ
ap-1690	64	34	fluxes	flux	NOUN
ap-1690	64	35	defined	define	VERB
ap-1690	64	36	by	by	ADP
ap-1690	64	37	f	f	PROPN
ap-1690	64	38	c	c	PROPN
ap-1690	64	39	=	=	SYM
ap-1690	64	40	(	(	PUNCT
ap-1690	64	41	u	u	NOUN
ap-1690	64	42	,	,	PUNCT
ap-1690	64	43	u2	u2	PROPN
ap-1690	64	44	+	+	CCONJ
ap-1690	64	45	p	p	X
ap-1690	64	46	,	,	PUNCT
ap-1690	64	47	uv)t	uv)t	PROPN
ap-1690	64	48	,	,	PUNCT
ap-1690	64	49	gc	gc	PROPN
ap-1690	64	50	=	=	SYM
ap-1690	64	51	(	(	PUNCT
ap-1690	64	52	v	v	NOUN
ap-1690	64	53	,	,	PUNCT
ap-1690	64	54	uv	uv	NOUN
ap-1690	64	55	,	,	PUNCT
ap-1690	64	56	v2	v2	NOUN
ap-1690	64	57	+	+	CCONJ
ap-1690	64	58	p)t	p)t	ADJ
ap-1690	64	59	,	,	PUNCT
ap-1690	64	60	and	and	CCONJ
ap-1690	64	61	f	f	PROPN
ap-1690	64	62	v	v	X
ap-1690	64	63	=	=	SYM
ap-1690	64	64	f	f	PROPN
ap-1690	64	65	v(w	v(w	PROPN
ap-1690	64	66	)	)	PUNCT
ap-1690	64	67	,	,	PUNCT
ap-1690	64	68	gv	gv	ADP
ap-1690	64	69	=	=	PUNCT
ap-1690	64	70	gv(w	gv(w	X
ap-1690	64	71	)	)	PUNCT
ap-1690	64	72	are	be	AUX
ap-1690	64	73	the	the	DET
ap-1690	64	74	viscous	viscous	ADJ
ap-1690	64	75	physical	physical	ADJ
ap-1690	64	76	fluxes	flux	NOUN
ap-1690	64	77	defined	define	VERB
ap-1690	64	78	by	by	ADP
ap-1690	64	79	f	f	PROPN
ap-1690	64	80	v	v	PROPN
ap-1690	64	81	=	=	SYM
ap-1690	64	82	(	(	PUNCT
ap-1690	64	83	0	0	NUM
ap-1690	64	84	,	,	PUNCT
ap-1690	64	85	ux	ux	NOUN
ap-1690	64	86	,	,	PUNCT
ap-1690	64	87	vx)t	vx)t	NOUN
ap-1690	64	88	,	,	PUNCT
ap-1690	64	89	gv	gv	ADP
ap-1690	64	90	=	=	SYM
ap-1690	64	91	(	(	PUNCT
ap-1690	64	92	0	0	NUM
ap-1690	64	93	,	,	PUNCT
ap-1690	64	94	uy	uy	PROPN
ap-1690	64	95	,	,	PUNCT
ap-1690	64	96	vy)t	vy)t	PROPN
ap-1690	64	97	,	,	PUNCT
ap-1690	64	98	where	where	SCONJ
ap-1690	64	99	the	the	DET
ap-1690	64	100	partial	partial	ADJ
ap-1690	64	101	derivatives	derivative	NOUN
ap-1690	64	102	with	with	ADP
ap-1690	64	103	respect	respect	NOUN
ap-1690	64	104	to	to	ADP
ap-1690	64	105	x	x	PRON
ap-1690	64	106	,	,	PUNCT
ap-1690	64	107	y	y	PROPN
ap-1690	64	108	and	and	CCONJ
ap-1690	64	109	t	t	PROPN
ap-1690	64	110	are	be	AUX
ap-1690	64	111	denoted	denote	VERB
ap-1690	64	112	by	by	ADP
ap-1690	64	113	the	the	DET
ap-1690	64	114	subscripts	subscript	NOUN
ap-1690	64	115	x	x	X
ap-1690	64	116	,	,	PUNCT
ap-1690	64	117	y	y	PROPN
ap-1690	64	118	and	and	CCONJ
ap-1690	64	119	t	t	PROPN
ap-1690	64	120	,	,	PUNCT
ap-1690	64	121	respectively	respectively	ADV
ap-1690	64	122	.	.	PUNCT
ap-1690	65	1	symbol	symbol	PROPN
ap-1690	65	2	d	d	PROPN
ap-1690	65	3	denotes	denote	VERB
ap-1690	65	4	the	the	DET
ap-1690	65	5	diagonal	diagonal	ADJ
ap-1690	65	6	matrix	matrix	NOUN
ap-1690	65	7	d	d	X
ap-1690	65	8	=	=	SYM
ap-1690	65	9	diag(0	diag(0	PROPN
ap-1690	65	10	,	,	PUNCT
ap-1690	65	11	1	1	NUM
ap-1690	65	12	,	,	PUNCT
ap-1690	65	13	1	1	NUM
ap-1690	65	14	)	)	PUNCT
ap-1690	65	15	,	,	PUNCT
ap-1690	65	16	non	non	ADJ
ap-1690	65	17	-	-	ADJ
ap-1690	65	18	dimensional	dimensional	ADJ
ap-1690	65	19	time	time	NOUN
ap-1690	65	20	is	be	AUX
ap-1690	65	21	denoted	denote	VERB
ap-1690	65	22	by	by	ADP
ap-1690	65	23	t	t	PROPN
ap-1690	65	24	,	,	PUNCT
ap-1690	65	25	and	and	CCONJ
ap-1690	65	26	the	the	DET
ap-1690	65	27	non	non	ADJ
ap-1690	65	28	-	-	ADJ
ap-1690	65	29	dimensional	dimensional	ADJ
ap-1690	65	30	space	space	NOUN
ap-1690	65	31	coordinates	coordinate	NOUN
ap-1690	65	32	are	be	AUX
ap-1690	65	33	denoted	denote	VERB
ap-1690	65	34	by	by	ADP
ap-1690	65	35	x	x	X
ap-1690	65	36	,	,	PUNCT
ap-1690	65	37	y.	y.	PROPN
ap-1690	65	38	symbols	symbol	NOUN
ap-1690	65	39	u	u	PROPN
ap-1690	65	40	=	=	SYM
ap-1690	65	41	(	(	PUNCT
ap-1690	65	42	u	u	NOUN
ap-1690	65	43	,	,	PUNCT
ap-1690	65	44	v)t	v)t	ADJ
ap-1690	65	45	and	and	CCONJ
ap-1690	65	46	p	p	NOUN
ap-1690	65	47	stand	stand	NOUN
ap-1690	65	48	for	for	ADP
ap-1690	65	49	the	the	DET
ap-1690	65	50	dimensionless	dimensionless	NOUN
ap-1690	65	51	velocity	velocity	NOUN
ap-1690	65	52	vector	vector	NOUN
ap-1690	65	53	and	and	CCONJ
ap-1690	65	54	the	the	DET
ap-1690	65	55	dimensionless	dimensionless	NOUN
ap-1690	65	56	pressure	pressure	NOUN
ap-1690	65	57	,	,	PUNCT
ap-1690	65	58	respectively	respectively	ADV
ap-1690	65	59	.	.	PUNCT
ap-1690	66	1	the	the	DET
ap-1690	66	2	detailed	detailed	ADJ
ap-1690	66	3	relation	relation	NOUN
ap-1690	66	4	of	of	ADP
ap-1690	66	5	the	the	DET
ap-1690	66	6	dimensionless	dimensionless	NOUN
ap-1690	66	7	form	form	NOUN
ap-1690	66	8	of	of	ADP
ap-1690	66	9	the	the	DET
ap-1690	66	10	governing	govern	VERB
ap-1690	66	11	equations	equation	NOUN
ap-1690	66	12	and	and	CCONJ
ap-1690	66	13	the	the	DET
ap-1690	66	14	relationship	relationship	NOUN
ap-1690	66	15	between	between	ADP
ap-1690	66	16	dimensional	dimensional	ADJ
ap-1690	66	17	and	and	CCONJ
ap-1690	66	18	nondimensional	nondimensional	ADJ
ap-1690	66	19	variables	variable	NOUN
ap-1690	66	20	can	can	AUX
ap-1690	66	21	be	be	AUX
ap-1690	66	22	found	find	VERB
ap-1690	66	23	,	,	PUNCT
ap-1690	66	24	e.g.	e.g.	ADV
ap-1690	66	25	,	,	PUNCT
ap-1690	66	26	in	in	ADP
ap-1690	66	27	[	[	PUNCT
ap-1690	66	28	11	11	NUM
ap-1690	66	29	]	]	PUNCT
ap-1690	66	30	,	,	PUNCT
ap-1690	66	31	[	[	X
ap-1690	66	32	15	15	NUM
ap-1690	66	33	]	]	PUNCT
ap-1690	66	34	.	.	PUNCT
ap-1690	67	1	in	in	ADP
ap-1690	67	2	order	order	NOUN
ap-1690	67	3	to	to	PART
ap-1690	67	4	time	time	NOUN
ap-1690	67	5	discretize	discretize	NOUN
ap-1690	67	6	(	(	PUNCT
ap-1690	67	7	4	4	NUM
ap-1690	67	8	)	)	PUNCT
ap-1690	67	9	,	,	PUNCT
ap-1690	67	10	a	a	DET
ap-1690	67	11	partition	partition	NOUN
ap-1690	67	12	0	0	NUM
ap-1690	67	13	=	=	SYM
ap-1690	67	14	t0	t0	PROPN
ap-1690	67	15	<	<	X
ap-1690	67	16	t1	t1	X
ap-1690	67	17	<	<	X
ap-1690	67	18	·	·	PUNCT
ap-1690	67	19	·	·	PUNCT
ap-1690	67	20	·	·	PUNCT
ap-1690	67	21	<	<	X
ap-1690	67	22	tm	tm	PROPN
ap-1690	67	23	=	=	PROPN
ap-1690	67	24	t	t	PROPN
ap-1690	67	25	of	of	ADP
ap-1690	67	26	the	the	DET
ap-1690	67	27	time	time	NOUN
ap-1690	67	28	interval	interval	NOUN
ap-1690	67	29	[	[	X
ap-1690	67	30	0	0	NUM
ap-1690	67	31	,	,	PUNCT
ap-1690	67	32	t	t	PROPN
ap-1690	67	33	]	]	PUNCT
ap-1690	67	34	is	be	AUX
ap-1690	67	35	considered	consider	VERB
ap-1690	67	36	,	,	PUNCT
ap-1690	67	37	and	and	CCONJ
ap-1690	67	38	the	the	DET
ap-1690	67	39	(	(	PUNCT
ap-1690	67	40	variable	variable	ADJ
ap-1690	67	41	)	)	PUNCT
ap-1690	67	42	time	time	NOUN
ap-1690	67	43	step	step	NOUN
ap-1690	67	44	∆tn	∆tn	PUNCT
ap-1690	68	1	=	=	SYM
ap-1690	68	2	tn+1	tn+1	PROPN
ap-1690	68	3	−	−	PROPN
ap-1690	68	4	tn	tn	NOUN
ap-1690	68	5	is	be	AUX
ap-1690	68	6	denoted	denote	VERB
ap-1690	68	7	by	by	ADP
ap-1690	68	8	∆tn	∆tn	PROPN
ap-1690	68	9	.	.	PUNCT
ap-1690	69	1	further	far	ADV
ap-1690	69	2	,	,	PUNCT
ap-1690	69	3	wn	wn	PROPN
ap-1690	69	4	denotes	denote	VERB
ap-1690	69	5	the	the	DET
ap-1690	69	6	approximation	approximation	NOUN
ap-1690	69	7	of	of	ADP
ap-1690	69	8	the	the	DET
ap-1690	69	9	solution	solution	NOUN
ap-1690	69	10	w	w	NOUN
ap-1690	69	11	at	at	ADP
ap-1690	69	12	the	the	DET
ap-1690	69	13	time	time	NOUN
ap-1690	69	14	instant	instant	PROPN
ap-1690	69	15	tn	tn	PROPN
ap-1690	69	16	.	.	PUNCT
ap-1690	69	17	eqs	eqs	PROPN
ap-1690	69	18	.	.	PUNCT
ap-1690	70	1	(	(	PUNCT
ap-1690	70	2	4	4	X
ap-1690	70	3	)	)	PUNCT
ap-1690	70	4	are	be	AUX
ap-1690	70	5	discretized	discretize	VERB
ap-1690	70	6	in	in	ADP
ap-1690	70	7	time	time	NOUN
ap-1690	70	8	,	,	PUNCT
ap-1690	70	9	and	and	CCONJ
ap-1690	70	10	the	the	DET
ap-1690	70	11	solution	solution	NOUN
ap-1690	70	12	of	of	ADP
ap-1690	70	13	the	the	DET
ap-1690	70	14	non	non	ADJ
ap-1690	70	15	-	-	ADJ
ap-1690	70	16	linear	linear	ADJ
ap-1690	70	17	problem	problem	NOUN
ap-1690	70	18	for	for	ADP
ap-1690	70	19	each	each	DET
ap-1690	70	20	time	time	NOUN
ap-1690	70	21	step	step	NOUN
ap-1690	70	22	is	be	AUX
ap-1690	70	23	performed	perform	VERB
ap-1690	70	24	with	with	ADP
ap-1690	70	25	the	the	DET
ap-1690	70	26	use	use	NOUN
ap-1690	70	27	of	of	ADP
ap-1690	70	28	the	the	DET
ap-1690	70	29	concept	concept	NOUN
ap-1690	70	30	of	of	ADP
ap-1690	70	31	dual	dual	ADJ
ap-1690	70	32	time	time	NOUN
ap-1690	70	33	,	,	PUNCT
ap-1690	70	34	cf	cf	NOUN
ap-1690	70	35	.	.	PUNCT
ap-1690	71	1	[	[	X
ap-1690	71	2	12	12	NUM
ap-1690	71	3	]	]	PUNCT
ap-1690	71	4	.	.	PUNCT
ap-1690	72	1	we	we	PRON
ap-1690	72	2	start	start	VERB
ap-1690	72	3	with	with	ADP
ap-1690	72	4	an	an	DET
ap-1690	72	5	approximation	approximation	NOUN
ap-1690	72	6	of	of	ADP
ap-1690	72	7	the	the	DET
ap-1690	72	8	time	time	NOUN
ap-1690	72	9	derivativewt	derivativewt	NOUN
ap-1690	72	10	by	by	ADP
ap-1690	72	11	the	the	DET
ap-1690	72	12	second	second	ADJ
ap-1690	72	13	order	order	NOUN
ap-1690	72	14	backward	backward	ADJ
ap-1690	72	15	difference	difference	NOUN
ap-1690	72	16	formula	formula	NOUN
ap-1690	72	17	(	(	PUNCT
ap-1690	72	18	bdf2	bdf2	NOUN
ap-1690	72	19	)	)	PUNCT
ap-1690	72	20	∂w	∂w	PROPN
ap-1690	72	21	∂t	∂t	PROPN
ap-1690	72	22	(	(	PUNCT
ap-1690	72	23	tn+1	tn+1	PROPN
ap-1690	72	24	)	)	PUNCT
ap-1690	73	1	≈	≈	NOUN
ap-1690	73	2	αn0w	αn0w	NOUN
ap-1690	73	3	n+1	n+1	PROPN
ap-1690	74	1	+	+	CCONJ
ap-1690	74	2	αn1w	αn1w	CCONJ
ap-1690	74	3	n	n	PROPN
ap-1690	74	4	+	+	CCONJ
ap-1690	74	5	αn2w	αn2w	PROPN
ap-1690	74	6	n−1	n−1	PROPN
ap-1690	74	7	∆t	∆t	PROPN
ap-1690	74	8	,	,	PUNCT
ap-1690	74	9	(	(	PUNCT
ap-1690	74	10	5	5	NUM
ap-1690	74	11	)	)	PUNCT
ap-1690	74	12	where	where	SCONJ
ap-1690	74	13	αn0	αn0	NOUN
ap-1690	74	14	=	=	SYM
ap-1690	74	15	2	2	NUM
ap-1690	74	16	−	−	PROPN
ap-1690	74	17	1/(1	1/(1	NUM
ap-1690	74	18	+	+	CCONJ
ap-1690	74	19	θ	θ	NOUN
ap-1690	74	20	)	)	PUNCT
ap-1690	74	21	,	,	PUNCT
ap-1690	74	22	αn1	αn1	NOUN
ap-1690	74	23	=	=	PUNCT
ap-1690	74	24	−(1	−(1	NOUN
ap-1690	74	25	+	+	CCONJ
ap-1690	74	26	θ	θ	NOUN
ap-1690	74	27	)	)	PUNCT
ap-1690	74	28	,	,	PUNCT
ap-1690	74	29	αn2	αn2	PROPN
ap-1690	74	30	=	=	PUNCT
ap-1690	74	31	θ2/(1	θ2/(1	NOUN
ap-1690	74	32	+	+	CCONJ
ap-1690	74	33	θ	θ	NOUN
ap-1690	74	34	)	)	PUNCT
ap-1690	74	35	,	,	PUNCT
ap-1690	74	36	θ	θ	PROPN
ap-1690	74	37	=	=	SYM
ap-1690	74	38	(	(	PUNCT
ap-1690	74	39	∆tn)/(∆tn−1	∆tn)/(∆tn−1	PROPN
ap-1690	74	40	)	)	PUNCT
ap-1690	74	41	.	.	PUNCT
ap-1690	75	1	the	the	DET
ap-1690	75	2	artificial	artificial	ADJ
ap-1690	75	3	compressibility	compressibility	NOUN
ap-1690	75	4	method	method	NOUN
ap-1690	75	5	,	,	PUNCT
ap-1690	75	6	see	see	VERB
ap-1690	75	7	[	[	X
ap-1690	75	8	3	3	NUM
ap-1690	75	9	,	,	PUNCT
ap-1690	75	10	16	16	NUM
ap-1690	75	11	]	]	PUNCT
ap-1690	75	12	,	,	PUNCT
ap-1690	75	13	together	together	ADV
ap-1690	75	14	with	with	ADP
ap-1690	75	15	a	a	DET
ap-1690	75	16	timemarching	timemarching	NOUN
ap-1690	75	17	method	method	NOUN
ap-1690	75	18	is	be	AUX
ap-1690	75	19	used	use	VERB
ap-1690	75	20	for	for	ADP
ap-1690	75	21	the	the	DET
ap-1690	75	22	steady	steady	ADJ
ap-1690	75	23	state	state	NOUN
ap-1690	75	24	computations	computation	NOUN
ap-1690	75	25	.	.	PUNCT
ap-1690	76	1	this	this	PRON
ap-1690	76	2	means	mean	VERB
ap-1690	76	3	that	that	SCONJ
ap-1690	76	4	the	the	DET
ap-1690	76	5	derivatives	derivative	NOUN
ap-1690	76	6	dβwτ	dβwτ	VERB
ap-1690	76	7	with	with	ADP
ap-1690	76	8	respect	respect	NOUN
ap-1690	76	9	to	to	ADP
ap-1690	76	10	a	a	DET
ap-1690	76	11	fictitious	fictitious	ADJ
ap-1690	76	12	dual	dual	ADJ
ap-1690	76	13	time	time	NOUN
ap-1690	76	14	τ	τ	PROPN
ap-1690	76	15	are	be	AUX
ap-1690	76	16	added	add	VERB
ap-1690	76	17	to	to	ADP
ap-1690	76	18	the	the	DET
ap-1690	76	19	time	time	NOUN
ap-1690	76	20	discretized	discretized	ADJ
ap-1690	76	21	equations	equation	NOUN
ap-1690	76	22	(	(	PUNCT
ap-1690	76	23	4	4	NUM
ap-1690	76	24	)	)	PUNCT
ap-1690	76	25	with	with	ADP
ap-1690	76	26	the	the	DET
ap-1690	76	27	matrix	matrix	NOUN
ap-1690	76	28	dβ	dβ	NOUN
ap-1690	76	29	=	=	PUNCT
ap-1690	76	30	diag(β	diag(β	NOUN
ap-1690	76	31	,	,	PUNCT
ap-1690	76	32	1	1	NUM
ap-1690	76	33	,	,	PUNCT
ap-1690	76	34	1	1	NUM
ap-1690	76	35	)	)	PUNCT
ap-1690	76	36	,	,	PUNCT
ap-1690	76	37	and	and	CCONJ
ap-1690	76	38	β	β	X
ap-1690	76	39	>	>	X
ap-1690	76	40	0	0	NUM
ap-1690	76	41	denotes	denote	VERB
ap-1690	76	42	the	the	DET
ap-1690	76	43	artificial	artificial	ADJ
ap-1690	76	44	compressibility	compressibility	NOUN
ap-1690	76	45	constant	constant	ADJ
ap-1690	76	46	.	.	PUNCT
ap-1690	77	1	the	the	DET
ap-1690	77	2	solution	solution	NOUN
ap-1690	77	3	of	of	ADP
ap-1690	77	4	the	the	DET
ap-1690	77	5	nonlinear	nonlinear	ADJ
ap-1690	77	6	problem	problem	NOUN
ap-1690	77	7	is	be	AUX
ap-1690	77	8	then	then	ADV
ap-1690	77	9	found	find	VERB
ap-1690	77	10	as	as	ADP
ap-1690	77	11	a	a	DET
ap-1690	77	12	solution	solution	NOUN
ap-1690	77	13	of	of	ADP
ap-1690	77	14	the	the	DET
ap-1690	77	15	steady	steady	ADJ
ap-1690	77	16	-	-	PUNCT
ap-1690	77	17	state	state	NOUN
ap-1690	77	18	problem	problem	NOUN
ap-1690	77	19	in	in	ADP
ap-1690	77	20	dual	dual	ADJ
ap-1690	77	21	time	time	NOUN
ap-1690	77	22	τ	τ	X
ap-1690	77	23	,	,	PUNCT
ap-1690	77	24	i.e.	i.e.	X
ap-1690	77	25	dβwτ	dβwτ	NOUN
ap-1690	77	26	=	=	PUNCT
ap-1690	77	27	−r̃(w	−r̃(w	PROPN
ap-1690	77	28	)	)	PUNCT
ap-1690	77	29	,	,	PUNCT
ap-1690	77	30	(	(	PUNCT
ap-1690	77	31	6	6	NUM
ap-1690	77	32	)	)	PUNCT
ap-1690	77	33	where	where	SCONJ
ap-1690	77	34	r̃(w	r̃(w	ADJ
ap-1690	77	35	)	)	PUNCT
ap-1690	77	36	is	be	AUX
ap-1690	77	37	the	the	DET
ap-1690	77	38	unsteady	unsteady	ADJ
ap-1690	77	39	residuum	residuum	NOUN
ap-1690	77	40	defined	define	VERB
ap-1690	77	41	by	by	ADP
ap-1690	77	42	r̃(w	r̃(w	ADJ
ap-1690	77	43	)	)	PUNCT
ap-1690	78	1	=	=	PUNCT
ap-1690	79	1	d	d	PUNCT
ap-1690	79	2	αn0w	αn0w	PROPN
ap-1690	80	1	+	+	CCONJ
ap-1690	80	2	αn1w	αn1w	PROPN
ap-1690	80	3	n	n	PROPN
ap-1690	80	4	+	+	CCONJ
ap-1690	80	5	αn2w	αn2w	PROPN
ap-1690	80	6	n−1	n−1	PROPN
ap-1690	80	7	∆t	∆t	PROPN
ap-1690	81	1	+	+	NOUN
ap-1690	81	2	r(w	r(w	NOUN
ap-1690	81	3	)	)	PUNCT
ap-1690	81	4	,	,	PUNCT
ap-1690	81	5	and	and	CCONJ
ap-1690	81	6	r(w	r(w	PROPN
ap-1690	81	7	)	)	PUNCT
ap-1690	81	8	is	be	AUX
ap-1690	81	9	the	the	DET
ap-1690	81	10	steady	steady	ADJ
ap-1690	81	11	residuum	residuum	NOUN
ap-1690	81	12	defined	define	VERB
ap-1690	81	13	by	by	ADP
ap-1690	81	14	r(w	r(w	PROPN
ap-1690	81	15	)	)	PUNCT
ap-1690	81	16	=	=	PUNCT
ap-1690	82	1	(	(	PUNCT
ap-1690	82	2	f	f	NOUN
ap-1690	82	3	c	c	NOUN
ap-1690	82	4	−	−	PROPN
ap-1690	82	5	1	1	NUM
ap-1690	82	6	re	re	X
ap-1690	82	7	f	f	PROPN
ap-1690	82	8	v)x	v)x	PROPN
ap-1690	82	9	+	+	CCONJ
ap-1690	82	10	(	(	PUNCT
ap-1690	82	11	gc	gc	PROPN
ap-1690	82	12	−	−	PROPN
ap-1690	82	13	1	1	NUM
ap-1690	82	14	re	re	X
ap-1690	82	15	gv)y	gv)y	PROPN
ap-1690	82	16	.	.	PUNCT
ap-1690	83	1	the	the	DET
ap-1690	83	2	required	require	VERB
ap-1690	83	3	real	real	ADJ
ap-1690	83	4	-	-	PUNCT
ap-1690	83	5	time	time	NOUN
ap-1690	83	6	accurate	accurate	ADJ
ap-1690	83	7	solution	solution	NOUN
ap-1690	83	8	at	at	ADP
ap-1690	83	9	the	the	DET
ap-1690	83	10	time	time	NOUN
ap-1690	83	11	level	level	NOUN
ap-1690	83	12	n+	n+	ADP
ap-1690	83	13	1	1	NUM
ap-1690	83	14	satisfies	satisfie	NOUN
ap-1690	83	15	r̃(wn+1	r̃(wn+1	NUM
ap-1690	83	16	)	)	PUNCT
ap-1690	83	17	=	=	SYM
ap-1690	83	18	0	0	NUM
ap-1690	83	19	,	,	PUNCT
ap-1690	83	20	and	and	CCONJ
ap-1690	83	21	it	it	PRON
ap-1690	83	22	is	be	AUX
ap-1690	83	23	found	find	VERB
ap-1690	83	24	by	by	ADP
ap-1690	83	25	marching	march	VERB
ap-1690	83	26	equation	equation	NOUN
ap-1690	83	27	(	(	PUNCT
ap-1690	83	28	6	6	NUM
ap-1690	83	29	)	)	PUNCT
ap-1690	83	30	to	to	ADP
ap-1690	83	31	a	a	DET
ap-1690	83	32	steady	steady	ADJ
ap-1690	83	33	state	state	NOUN
ap-1690	83	34	in	in	ADP
ap-1690	83	35	the	the	DET
ap-1690	83	36	dual	dual	ADJ
ap-1690	83	37	time	time	NOUN
ap-1690	84	1	τ	τ	X
ap-1690	84	2	.	.	PUNCT
ap-1690	85	1	system	system	NOUN
ap-1690	85	2	(	(	PUNCT
ap-1690	85	3	1	1	X
ap-1690	85	4	)	)	PUNCT
ap-1690	85	5	is	be	AUX
ap-1690	85	6	equipped	equip	VERB
ap-1690	85	7	with	with	ADP
ap-1690	85	8	boundary	boundary	ADJ
ap-1690	85	9	conditions	condition	NOUN
ap-1690	85	10	on	on	ADP
ap-1690	85	11	∂ωt	∂ωt	PROPN
ap-1690	85	12	.	.	PUNCT
ap-1690	86	1	the	the	DET
ap-1690	86	2	dirichlet	dirichlet	PROPN
ap-1690	86	3	boundary	boundary	PROPN
ap-1690	86	4	condition	condition	NOUN
ap-1690	86	5	u	u	NOUN
ap-1690	86	6	=	=	PUNCT
ap-1690	86	7	u∞	u∞	NOUN
ap-1690	86	8	=	=	SYM
ap-1690	86	9	(	(	PUNCT
ap-1690	86	10	u∞	u∞	PROPN
ap-1690	86	11	,	,	PUNCT
ap-1690	86	12	0	0	NUM
ap-1690	86	13	)	)	PUNCT
ap-1690	86	14	is	be	AUX
ap-1690	86	15	prescribed	prescribe	VERB
ap-1690	86	16	on	on	ADP
ap-1690	86	17	the	the	DET
ap-1690	86	18	inlet	inlet	NOUN
ap-1690	86	19	γd	γd	ADP
ap-1690	86	20	,	,	PUNCT
ap-1690	86	21	whereas	whereas	SCONJ
ap-1690	86	22	on	on	ADP
ap-1690	86	23	the	the	DET
ap-1690	86	24	outlet	outlet	NOUN
ap-1690	86	25	γo	γo	ADP
ap-1690	86	26	a	a	DET
ap-1690	86	27	mean	mean	ADJ
ap-1690	86	28	value	value	NOUN
ap-1690	86	29	of	of	ADP
ap-1690	86	30	pressure	pressure	NOUN
ap-1690	86	31	p	p	NOUN
ap-1690	86	32	is	be	AUX
ap-1690	86	33	specified	specify	VERB
ap-1690	86	34	.	.	PUNCT
ap-1690	87	1	the	the	DET
ap-1690	87	2	non	non	ADJ
ap-1690	87	3	-	-	ADJ
ap-1690	87	4	slip	slip	ADJ
ap-1690	87	5	boundary	boundary	ADJ
ap-1690	87	6	condition	condition	NOUN
ap-1690	87	7	is	be	AUX
ap-1690	87	8	used	use	VERB
ap-1690	87	9	on	on	ADP
ap-1690	87	10	walls	wall	NOUN
ap-1690	87	11	,	,	PUNCT
ap-1690	87	12	i.e.	i.e.	X
ap-1690	87	13	u	u	X
ap-1690	87	14	=	=	NOUN
ap-1690	87	15	w	w	NOUN
ap-1690	87	16	on	on	ADP
ap-1690	87	17	γwt	γwt	NOUN
ap-1690	87	18	is	be	AUX
ap-1690	87	19	prescribed	prescribe	VERB
ap-1690	87	20	,	,	PUNCT
ap-1690	87	21	where	where	SCONJ
ap-1690	87	22	w	w	NOUN
ap-1690	87	23	denotes	denote	VERB
ap-1690	87	24	the	the	DET
ap-1690	87	25	velocity	velocity	NOUN
ap-1690	87	26	of	of	ADP
ap-1690	87	27	the	the	DET
ap-1690	87	28	moving	move	VERB
ap-1690	87	29	wall	wall	NOUN
ap-1690	87	30	.	.	PUNCT
ap-1690	88	1	3.2	3.2	NUM
ap-1690	88	2	numerical	numerical	ADJ
ap-1690	88	3	scheme	scheme	NOUN
ap-1690	88	4	the	the	DET
ap-1690	88	5	governing	govern	VERB
ap-1690	88	6	equations	equation	NOUN
ap-1690	88	7	for	for	ADP
ap-1690	88	8	the	the	DET
ap-1690	88	9	dual	dual	ADJ
ap-1690	88	10	-	-	PUNCT
ap-1690	88	11	time	time	NOUN
ap-1690	88	12	approach	approach	NOUN
ap-1690	88	13	are	be	AUX
ap-1690	88	14	represented	represent	VERB
ap-1690	88	15	by	by	ADP
ap-1690	88	16	eq	eq	PROPN
ap-1690	88	17	.	.	PUNCT
ap-1690	89	1	(	(	PUNCT
ap-1690	89	2	6	6	NUM
ap-1690	89	3	)	)	PUNCT
ap-1690	89	4	.	.	PUNCT
ap-1690	90	1	the	the	DET
ap-1690	90	2	arbitrary	arbitrary	ADJ
ap-1690	90	3	lagrangianeulerian	lagrangianeulerian	ADJ
ap-1690	90	4	method	method	NOUN
ap-1690	90	5	,	,	PUNCT
ap-1690	90	6	satisfying	satisfy	VERB
ap-1690	90	7	the	the	DET
ap-1690	90	8	so	so	ADV
ap-1690	90	9	-	-	PUNCT
ap-1690	90	10	called	call	VERB
ap-1690	90	11	geometrical	geometrical	ADJ
ap-1690	90	12	conservation	conservation	NOUN
ap-1690	90	13	law	law	NOUN
ap-1690	90	14	,	,	PUNCT
ap-1690	90	15	is	be	AUX
ap-1690	90	16	used	use	VERB
ap-1690	90	17	for	for	ADP
ap-1690	90	18	application	application	NOUN
ap-1690	90	19	in	in	ADP
ap-1690	90	20	the	the	DET
ap-1690	90	21	case	case	NOUN
ap-1690	90	22	of	of	ADP
ap-1690	90	23	moving	move	VERB
ap-1690	90	24	meshes	mesh	NOUN
ap-1690	90	25	see	see	VERB
ap-1690	90	26	[	[	X
ap-1690	90	27	19	19	NUM
ap-1690	90	28	]	]	PUNCT
ap-1690	90	29	.	.	PUNCT
ap-1690	91	1	the	the	DET
ap-1690	91	2	integral	integral	ADJ
ap-1690	91	3	form	form	NOUN
ap-1690	91	4	of	of	ADP
ap-1690	91	5	equation	equation	NOUN
ap-1690	91	6	(	(	PUNCT
ap-1690	91	7	4	4	NUM
ap-1690	91	8	)	)	PUNCT
ap-1690	91	9	in	in	ADP
ap-1690	91	10	the	the	DET
ap-1690	91	11	ale	ale	NOUN
ap-1690	91	12	formulation	formulation	NOUN
ap-1690	91	13	is	be	AUX
ap-1690	91	14	given	give	VERB
ap-1690	91	15	by	by	ADP
ap-1690	91	16	∂	∂	NUM
ap-1690	91	17	∂t	∂t	PROPN
ap-1690	91	18	∫	∫	PROPN
ap-1690	91	19	ci(t	ci(t	ADV
ap-1690	91	20	)	)	PUNCT
ap-1690	91	21	dw	dw	PROPN
ap-1690	91	22	dxdy	dxdy	PROPN
ap-1690	91	23	+	+	CCONJ
ap-1690	91	24	∫	∫	PROPN
ap-1690	91	25	∂ci	∂ci	PROPN
ap-1690	91	26	(	(	PUNCT
ap-1690	91	27	f̃	f̃	PROPN
ap-1690	91	28	c	c	PROPN
ap-1690	91	29	dy	dy	NOUN
ap-1690	91	30	−	−	PROPN
ap-1690	91	31	g̃c	g̃c	PROPN
ap-1690	91	32	dx	dx	PROPN
ap-1690	91	33	)	)	PUNCT
ap-1690	92	1	−	−	NUM
ap-1690	92	2	∫	∫	PROPN
ap-1690	92	3	∂ci	∂ci	PROPN
ap-1690	92	4	1	1	NUM
ap-1690	92	5	re	re	X
ap-1690	92	6	(	(	PUNCT
ap-1690	92	7	f	f	PROPN
ap-1690	92	8	v	v	NOUN
ap-1690	92	9	dy	dy	VERB
ap-1690	92	10	−gv	−gv	PROPN
ap-1690	92	11	dx	dx	PROPN
ap-1690	92	12	)	)	PUNCT
ap-1690	92	13	=	=	SYM
ap-1690	92	14	0	0	NUM
ap-1690	92	15	,	,	PUNCT
ap-1690	92	16	(	(	PUNCT
ap-1690	92	17	7	7	X
ap-1690	92	18	)	)	PUNCT
ap-1690	92	19	where	where	SCONJ
ap-1690	92	20	f̃	f̃	PROPN
ap-1690	92	21	c	c	X
ap-1690	92	22	=	=	SYM
ap-1690	92	23	f̃	f̃	PROPN
ap-1690	92	24	c(w	c(w	PROPN
ap-1690	92	25	,	,	PUNCT
ap-1690	92	26	w1	w1	NOUN
ap-1690	92	27	)	)	PUNCT
ap-1690	92	28	=	=	SYM
ap-1690	93	1	f	f	PROPN
ap-1690	93	2	c(w	c(w	PROPN
ap-1690	93	3	)	)	PUNCT
ap-1690	94	1	−	−	PROPN
ap-1690	94	2	w1dw	w1dw	PUNCT
ap-1690	94	3	,	,	PUNCT
ap-1690	94	4	g̃c	g̃c	NOUN
ap-1690	94	5	=	=	SYM
ap-1690	94	6	g̃c(w	g̃c(w	NOUN
ap-1690	94	7	,	,	PUNCT
ap-1690	94	8	w2	w2	NOUN
ap-1690	94	9	)	)	PUNCT
ap-1690	94	10	=	=	SYM
ap-1690	95	1	gc(w	gc(w	NUM
ap-1690	95	2	)	)	PUNCT
ap-1690	96	1	−	−	NOUN
ap-1690	96	2	w2dw	w2dw	X
ap-1690	96	3	,	,	PUNCT
ap-1690	96	4	w	w	PROPN
ap-1690	96	5	=	=	SYM
ap-1690	96	6	(	(	PUNCT
ap-1690	96	7	w1	w1	NOUN
ap-1690	96	8	,	,	PUNCT
ap-1690	96	9	w2)t	w2)t	PROPN
ap-1690	96	10	is	be	AUX
ap-1690	96	11	the	the	DET
ap-1690	96	12	domain	domain	NOUN
ap-1690	96	13	velocity	velocity	NOUN
ap-1690	96	14	,	,	PUNCT
ap-1690	96	15	and	and	CCONJ
ap-1690	96	16	ci	ci	NOUN
ap-1690	96	17	=	=	SYM
ap-1690	96	18	ci(t	ci(t	X
ap-1690	96	19	)	)	PUNCT
ap-1690	96	20	is	be	AUX
ap-1690	96	21	a	a	DET
ap-1690	96	22	control	control	NOUN
ap-1690	96	23	volume	volume	NOUN
ap-1690	96	24	,	,	PUNCT
ap-1690	96	25	which	which	PRON
ap-1690	96	26	moves	move	VERB
ap-1690	96	27	in	in	ADP
ap-1690	96	28	time	time	NOUN
ap-1690	96	29	with	with	ADP
ap-1690	96	30	the	the	DET
ap-1690	96	31	domain	domain	NOUN
ap-1690	96	32	velocity	velocity	NOUN
ap-1690	96	33	w	w	NOUN
ap-1690	96	34	,	,	PUNCT
ap-1690	96	35	see	see	VERB
ap-1690	96	36	[	[	X
ap-1690	96	37	19	19	NUM
ap-1690	96	38	]	]	PUNCT
ap-1690	96	39	.	.	PUNCT
ap-1690	97	1	in	in	ADP
ap-1690	97	2	what	what	PRON
ap-1690	97	3	follows	follow	VERB
ap-1690	97	4	let	let	VERB
ap-1690	97	5	us	we	PRON
ap-1690	97	6	assume	assume	VERB
ap-1690	97	7	that	that	SCONJ
ap-1690	97	8	ωt	ωt	PROPN
ap-1690	97	9	is	be	AUX
ap-1690	97	10	an	an	DET
ap-1690	97	11	polygonal	polygonal	ADJ
ap-1690	97	12	approximation	approximation	NOUN
ap-1690	97	13	of	of	ADP
ap-1690	97	14	the	the	DET
ap-1690	97	15	domain	domain	NOUN
ap-1690	97	16	occupied	occupy	VERB
ap-1690	97	17	by	by	ADP
ap-1690	97	18	a	a	DET
ap-1690	97	19	fluid	fluid	NOUN
ap-1690	97	20	at	at	ADP
ap-1690	97	21	time	time	NOUN
ap-1690	97	22	t	t	PROPN
ap-1690	97	23	,	,	PUNCT
ap-1690	97	24	being	be	AUX
ap-1690	97	25	discretized	discretize	VERB
ap-1690	97	26	by	by	ADP
ap-1690	97	27	a	a	DET
ap-1690	97	28	mesh	mesh	NOUN
ap-1690	97	29	consisting	consist	VERB
ap-1690	97	30	of	of	ADP
ap-1690	97	31	a	a	DET
ap-1690	97	32	finite	finite	ADJ
ap-1690	97	33	number	number	NOUN
ap-1690	97	34	of	of	ADP
ap-1690	97	35	cells	cell	NOUN
ap-1690	97	36	cj(t	cj(t	PUNCT
ap-1690	97	37	)	)	PUNCT
ap-1690	97	38	satisfying	satisfy	VERB
ap-1690	97	39	ωt	ωt	ADP
ap-1690	97	40	=	=	PUNCT
ap-1690	97	41	⋃	⋃	PROPN
ap-1690	97	42	j∈j	j∈j	NOUN
ap-1690	97	43	cj(t	cj(t	NUM
ap-1690	97	44	)	)	PUNCT
ap-1690	97	45	.	.	PUNCT
ap-1690	98	1	let	let	VERB
ap-1690	98	2	us	we	PRON
ap-1690	98	3	denote	denote	VERB
ap-1690	98	4	by	by	ADP
ap-1690	98	5	n(i	n(i	PROPN
ap-1690	98	6	)	)	PUNCT
ap-1690	98	7	the	the	DET
ap-1690	98	8	set	set	NOUN
ap-1690	98	9	of	of	ADP
ap-1690	98	10	all	all	DET
ap-1690	98	11	neighbouring	neighbouring	ADJ
ap-1690	98	12	cells	cell	NOUN
ap-1690	98	13	cj(t	cj(t	PUNCT
ap-1690	98	14	)	)	PUNCT
ap-1690	98	15	of	of	ADP
ap-1690	98	16	cell	cell	NOUN
ap-1690	98	17	ci(t	ci(t	ADV
ap-1690	98	18	)	)	PUNCT
ap-1690	98	19	,	,	PUNCT
ap-1690	98	20	i.e.	i.e.	X
ap-1690	98	21	the	the	DET
ap-1690	98	22	set	set	NOUN
ap-1690	98	23	of	of	ADP
ap-1690	98	24	all	all	DET
ap-1690	98	25	cells	cell	NOUN
ap-1690	98	26	whose	whose	DET
ap-1690	98	27	intersection	intersection	NOUN
ap-1690	98	28	with	with	ADP
ap-1690	98	29	ci(t	ci(t	NOUN
ap-1690	98	30	)	)	PUNCT
ap-1690	98	31	is	be	AUX
ap-1690	98	32	a	a	DET
ap-1690	98	33	common	common	ADJ
ap-1690	98	34	part	part	NOUN
ap-1690	98	35	of	of	ADP
ap-1690	98	36	their	their	PRON
ap-1690	98	37	boundary	boundary	NOUN
ap-1690	98	38	denoted	denote	VERB
ap-1690	98	39	by	by	ADP
ap-1690	98	40	γij(t	γij(t	PROPN
ap-1690	98	41	)	)	PUNCT
ap-1690	98	42	.	.	PUNCT
ap-1690	99	1	only	only	ADV
ap-1690	99	2	the	the	DET
ap-1690	99	3	quadrilateral	quadrilateral	ADJ
ap-1690	99	4	cells	cell	NOUN
ap-1690	99	5	are	be	AUX
ap-1690	99	6	considered	consider	VERB
ap-1690	99	7	in	in	ADP
ap-1690	99	8	the	the	DET
ap-1690	99	9	computations	computation	NOUN
ap-1690	99	10	.	.	PUNCT
ap-1690	100	1	in	in	ADP
ap-1690	100	2	this	this	DET
ap-1690	100	3	case	case	NOUN
ap-1690	100	4	,	,	PUNCT
ap-1690	100	5	set	set	VERB
ap-1690	100	6	γij(t	γij(t	PROPN
ap-1690	100	7	)	)	PUNCT
ap-1690	100	8	is	be	AUX
ap-1690	100	9	the	the	DET
ap-1690	100	10	common	common	ADJ
ap-1690	100	11	side	side	NOUN
ap-1690	100	12	of	of	ADP
ap-1690	100	13	cells	cell	NOUN
ap-1690	100	14	ci(t	ci(t	ADV
ap-1690	100	15	)	)	PUNCT
ap-1690	100	16	and	and	CCONJ
ap-1690	100	17	cj(t	cj(t	NUM
ap-1690	100	18	)	)	PUNCT
ap-1690	100	19	.	.	PUNCT
ap-1690	101	1	the	the	DET
ap-1690	101	2	mean	mean	ADJ
ap-1690	101	3	value	value	NOUN
ap-1690	101	4	of	of	ADP
ap-1690	101	5	vector	vector	NOUN
ap-1690	101	6	w	w	NOUN
ap-1690	101	7	over	over	ADP
ap-1690	101	8	cell	cell	NOUN
ap-1690	101	9	ci(t	ci(t	ADV
ap-1690	101	10	)	)	PUNCT
ap-1690	101	11	at	at	ADP
ap-1690	101	12	time	time	NOUN
ap-1690	101	13	instant	instant	ADJ
ap-1690	101	14	tn	tn	PROPN
ap-1690	101	15	is	be	AUX
ap-1690	101	16	approximated	approximate	VERB
ap-1690	101	17	by	by	ADP
ap-1690	101	18	wn	wn	PROPN
ap-1690	101	19	i	i	PROPN
ap-1690	101	20	,	,	PUNCT
ap-1690	101	21	and	and	CCONJ
ap-1690	101	22	symbol	symbol	PROPN
ap-1690	101	23	wn	wn	PROPN
ap-1690	101	24	denotes	denote	VERB
ap-1690	101	25	the	the	DET
ap-1690	101	26	vector	vector	NOUN
ap-1690	101	27	formed	form	VERB
ap-1690	101	28	by	by	ADP
ap-1690	101	29	the	the	DET
ap-1690	101	30	collection	collection	NOUN
ap-1690	101	31	of	of	ADP
ap-1690	101	32	all	all	PRON
ap-1690	102	1	wn	wn	PROPN
ap-1690	102	2	i	i	INTJ
ap-1690	102	3	,	,	PUNCT
ap-1690	102	4	i	i	PRON
ap-1690	102	5	∈	∈	PROPN
ap-1690	102	6	j	j	PROPN
ap-1690	102	7	.	.	PUNCT
ap-1690	103	1	in	in	ADP
ap-1690	103	2	addition	addition	NOUN
ap-1690	103	3	,	,	PUNCT
ap-1690	103	4	the	the	DET
ap-1690	103	5	numerical	numerical	ADJ
ap-1690	103	6	approximation	approximation	NOUN
ap-1690	103	7	depends	depend	VERB
ap-1690	103	8	on	on	ADP
ap-1690	103	9	the	the	DET
ap-1690	103	10	ale	ale	NOUN
ap-1690	103	11	mapping	mapping	NOUN
ap-1690	103	12	at	at	ADP
ap-1690	103	13	and	and	CCONJ
ap-1690	103	14	on	on	ADP
ap-1690	103	15	the	the	DET
ap-1690	103	16	domain	domain	NOUN
ap-1690	103	17	velocity	velocity	NOUN
ap-1690	103	18	w(t	w(t	PROPN
ap-1690	103	19	)	)	PUNCT
ap-1690	103	20	,	,	PUNCT
ap-1690	103	21	see	see	VERB
ap-1690	103	22	also	also	ADV
ap-1690	103	23	[	[	X
ap-1690	103	24	19	19	NUM
ap-1690	103	25	]	]	PUNCT
ap-1690	103	26	.	.	PUNCT
ap-1690	104	1	in	in	ADP
ap-1690	104	2	order	order	NOUN
ap-1690	104	3	to	to	PART
ap-1690	104	4	show	show	VERB
ap-1690	104	5	this	this	DET
ap-1690	104	6	dependence	dependence	NOUN
ap-1690	104	7	we	we	PRON
ap-1690	104	8	shall	shall	AUX
ap-1690	104	9	denote	denote	VERB
ap-1690	104	10	at	at	ADP
ap-1690	104	11	time	time	NOUN
ap-1690	104	12	instant	instant	NOUN
ap-1690	104	13	tn	tn	PROPN
ap-1690	104	14	the	the	DET
ap-1690	104	15	vector	vector	NOUN
ap-1690	104	16	of	of	ADP
ap-1690	104	17	grid	grid	NOUN
ap-1690	104	18	point	point	NOUN
ap-1690	104	19	positions	position	NOUN
ap-1690	104	20	by	by	ADP
ap-1690	104	21	xn	xn	PROPN
ap-1690	104	22	and	and	CCONJ
ap-1690	104	23	the	the	DET
ap-1690	104	24	volume	volume	NOUN
ap-1690	104	25	of	of	ADP
ap-1690	104	26	cell	cell	NOUN
ap-1690	104	27	ci(t	ci(t	ADV
ap-1690	104	28	)	)	PUNCT
ap-1690	104	29	by	by	ADP
ap-1690	104	30	|cni	|cni	VERB
ap-1690	104	31	|	|	NOUN
ap-1690	104	32	=	=	SYM
ap-1690	104	33	|ci(tn)|	|ci(tn)|	NOUN
ap-1690	104	34	.	.	PUNCT
ap-1690	105	1	thus	thus	ADV
ap-1690	105	2	the	the	DET
ap-1690	105	3	resulting	result	VERB
ap-1690	105	4	equation	equation	NOUN
ap-1690	105	5	for	for	ADP
ap-1690	105	6	the	the	DET
ap-1690	105	7	i	i	PROPN
ap-1690	105	8	-	-	PUNCT
ap-1690	105	9	th	th	X
ap-1690	105	10	finite	finite	NOUN
ap-1690	105	11	volume	volume	NOUN
ap-1690	105	12	cell	cell	NOUN
ap-1690	105	13	reads	read	VERB
ap-1690	105	14	d	d	X
ap-1690	105	15	∂	∂	NUM
ap-1690	105	16	(	(	PUNCT
ap-1690	105	17	∣∣ci(t)∣∣wi	∣∣ci(t)∣∣wi	NOUN
ap-1690	105	18	)	)	PUNCT
ap-1690	106	1	∂t	∂t	PROPN
ap-1690	107	1	+	+	NOUN
ap-1690	107	2	ri(w	ri(w	PROPN
ap-1690	107	3	,	,	PUNCT
ap-1690	107	4	t	t	NOUN
ap-1690	107	5	)	)	PUNCT
ap-1690	107	6	=	=	SYM
ap-1690	107	7	0	0	NUM
ap-1690	107	8	,	,	PUNCT
ap-1690	107	9	(	(	PUNCT
ap-1690	107	10	8)	8)	NUM
ap-1690	107	11	107	107	NUM
ap-1690	107	12	acta	acta	PROPN
ap-1690	107	13	polytechnica	polytechnica	PROPN
ap-1690	107	14	vol	vol	NOUN
ap-1690	107	15	.	.	PROPN
ap-1690	108	1	52	52	NUM
ap-1690	108	2	no	no	NOUN
ap-1690	108	3	.	.	PUNCT
ap-1690	109	1	6/2012	6/2012	NUM
ap-1690	109	2	with	with	ADP
ap-1690	109	3	ri(w	ri(w	PROPN
ap-1690	109	4	,	,	PUNCT
ap-1690	109	5	t	t	PROPN
ap-1690	109	6	)	)	PUNCT
ap-1690	109	7	=	=	SYM
ap-1690	109	8	fci	fci	NOUN
ap-1690	109	9	(	(	PUNCT
ap-1690	109	10	w(t	w(t	PROPN
ap-1690	109	11	)	)	PUNCT
ap-1690	109	12	,	,	PUNCT
ap-1690	109	13	x(t),w(t))−fvi	x(t),w(t))−fvi	PROPN
ap-1690	109	14	(	(	PUNCT
ap-1690	109	15	w(t	w(t	PROPN
ap-1690	109	16	)	)	PUNCT
ap-1690	109	17	,	,	PUNCT
ap-1690	109	18	x(t	x(t	PROPN
ap-1690	109	19	)	)	PUNCT
ap-1690	109	20	)	)	PUNCT
ap-1690	109	21	,	,	PUNCT
ap-1690	109	22	where	where	SCONJ
ap-1690	109	23	fci	fci	PROPN
ap-1690	109	24	(	(	PUNCT
ap-1690	109	25	w	w	PROPN
ap-1690	109	26	,	,	PUNCT
ap-1690	109	27	x	x	NOUN
ap-1690	109	28	,	,	PUNCT
ap-1690	109	29	w	w	NOUN
ap-1690	109	30	)	)	PUNCT
ap-1690	109	31	and	and	CCONJ
ap-1690	109	32	fvi	fvi	NOUN
ap-1690	109	33	(	(	PUNCT
ap-1690	109	34	w	w	PROPN
ap-1690	109	35	,	,	PUNCT
ap-1690	109	36	x	x	X
ap-1690	109	37	)	)	PUNCT
ap-1690	109	38	represent	represent	VERB
ap-1690	109	39	the	the	DET
ap-1690	109	40	numerical	numerical	ADJ
ap-1690	109	41	approximations	approximation	NOUN
ap-1690	109	42	of	of	ADP
ap-1690	109	43	the	the	DET
ap-1690	109	44	convective	convective	ADJ
ap-1690	109	45	and	and	CCONJ
ap-1690	109	46	diffusive	diffusive	ADJ
ap-1690	109	47	fluxes	flux	NOUN
ap-1690	109	48	,	,	PUNCT
ap-1690	109	49	respectively	respectively	ADV
ap-1690	109	50	.	.	PUNCT
ap-1690	110	1	further	far	ADV
ap-1690	110	2	,	,	PUNCT
ap-1690	110	3	the	the	DET
ap-1690	110	4	bdf2	bdf2	NOUN
ap-1690	110	5	formula	formula	NOUN
ap-1690	110	6	is	be	AUX
ap-1690	110	7	used	use	VERB
ap-1690	110	8	for	for	ADP
ap-1690	110	9	the	the	DET
ap-1690	110	10	approximation	approximation	NOUN
ap-1690	110	11	of	of	ADP
ap-1690	110	12	the	the	DET
ap-1690	110	13	time	time	NOUN
ap-1690	110	14	derivative	derivative	ADJ
ap-1690	110	15	in	in	ADP
ap-1690	110	16	(	(	PUNCT
ap-1690	110	17	7	7	NUM
ap-1690	110	18	)	)	PUNCT
ap-1690	110	19	by	by	ADP
ap-1690	110	20	the	the	DET
ap-1690	110	21	difference	difference	NOUN
ap-1690	110	22	δn+1	δn+1	PROPN
ap-1690	110	23	t	t	PROPN
ap-1690	110	24	wi	wi	PROPN
ap-1690	110	25	=	=	SYM
ap-1690	110	26	1	1	NUM
ap-1690	110	27	∆tn	∆tn	INTJ
ap-1690	110	28	(	(	PUNCT
ap-1690	110	29	αn0	αn0	NOUN
ap-1690	110	30	|cn+1	|cn+1	NOUN
ap-1690	110	31	i	i	PRON
ap-1690	110	32	|wn+1	|wn+1	VERB
ap-1690	110	33	i	i	PRON
ap-1690	110	34	+	+	NUM
ap-1690	110	35	αn1	αn1	NOUN
ap-1690	110	36	|cni	|cni	PUNCT
ap-1690	110	37	|wn	|wn	NUM
ap-1690	110	38	i	i	PRON
ap-1690	110	39	+	+	CCONJ
ap-1690	110	40	αn2	αn2	PRON
ap-1690	110	41	|cn−1	|cn−1	NOUN
ap-1690	110	42	i	i	PRON
ap-1690	110	43	|wn−1	|wn−1	PROPN
ap-1690	110	44	i	i	PROPN
ap-1690	110	45	)	)	PUNCT
ap-1690	110	46	.	.	PUNCT
ap-1690	111	1	in	in	ADP
ap-1690	111	2	order	order	NOUN
ap-1690	111	3	to	to	PART
ap-1690	111	4	solve	solve	VERB
ap-1690	111	5	the	the	DET
ap-1690	111	6	arising	arise	VERB
ap-1690	111	7	non	non	ADJ
ap-1690	111	8	-	-	ADJ
ap-1690	111	9	linear	linear	ADJ
ap-1690	111	10	problem	problem	NOUN
ap-1690	111	11	,	,	PUNCT
ap-1690	111	12	an	an	DET
ap-1690	111	13	additional	additional	ADJ
ap-1690	111	14	term	term	NOUN
ap-1690	111	15	related	relate	VERB
ap-1690	111	16	to	to	ADP
ap-1690	111	17	the	the	DET
ap-1690	111	18	artificial	artificial	ADJ
ap-1690	111	19	time	time	NOUN
ap-1690	111	20	τ	τ	PROPN
ap-1690	111	21	is	be	AUX
ap-1690	111	22	added	add	VERB
ap-1690	111	23	to	to	ADP
ap-1690	111	24	the	the	DET
ap-1690	111	25	scheme	scheme	NOUN
ap-1690	111	26	,	,	PUNCT
ap-1690	111	27	so	so	SCONJ
ap-1690	111	28	that	that	SCONJ
ap-1690	111	29	to	to	PART
ap-1690	111	30	find	find	VERB
ap-1690	111	31	the	the	DET
ap-1690	111	32	solution	solution	NOUN
ap-1690	111	33	on	on	ADP
ap-1690	111	34	time	time	NOUN
ap-1690	111	35	level	level	NOUN
ap-1690	111	36	tn+1	tn+1	NOUN
ap-1690	111	37	the	the	DET
ap-1690	111	38	following	follow	VERB
ap-1690	111	39	problem	problem	NOUN
ap-1690	111	40	written	write	VERB
ap-1690	111	41	in	in	ADP
ap-1690	111	42	the	the	DET
ap-1690	111	43	ale	ale	NOUN
ap-1690	111	44	formulation	formulation	NOUN
ap-1690	111	45	needs	need	VERB
ap-1690	111	46	to	to	PART
ap-1690	111	47	be	be	AUX
ap-1690	111	48	solved	solve	VERB
ap-1690	111	49	dβ	dβ	ADP
ap-1690	111	50	∣∣cn+1	∣∣cn+1	PROPN
ap-1690	111	51	i	i	PRON
ap-1690	111	52	∣∣∂wn+1	∣∣∂wn+1	VERB
ap-1690	111	53	i	i	PRON
ap-1690	111	54	∂τ	∂τ	VERB
ap-1690	112	1	+	+	CCONJ
ap-1690	112	2	dδn+1	dδn+1	PROPN
ap-1690	112	3	t	t	PROPN
ap-1690	112	4	wi	wi	PROPN
ap-1690	112	5	=	=	SYM
ap-1690	112	6	−rn+1	−rn+1	PROPN
ap-1690	112	7	i	i	PRON
ap-1690	112	8	(	(	PUNCT
ap-1690	112	9	wn+1	wn+1	NOUN
ap-1690	112	10	)	)	PUNCT
ap-1690	112	11	,	,	PUNCT
ap-1690	112	12	(	(	PUNCT
ap-1690	112	13	9	9	X
ap-1690	112	14	)	)	PUNCT
ap-1690	112	15	where	where	SCONJ
ap-1690	112	16	rn+1	rn+1	VERB
ap-1690	112	17	i	i	PRON
ap-1690	112	18	(	(	PUNCT
ap-1690	112	19	wn+1	wn+1	NOUN
ap-1690	112	20	)	)	PUNCT
ap-1690	112	21	=	=	SYM
ap-1690	112	22	ω1fc	ω1fc	PROPN
ap-1690	112	23	,	,	PUNCT
ap-1690	112	24	n+1/2	n+1/2	PROPN
ap-1690	112	25	i	i	PRON
ap-1690	112	26	(	(	PUNCT
ap-1690	112	27	wn+1	wn+1	PROPN
ap-1690	112	28	)	)	PUNCT
ap-1690	112	29	+	+	CCONJ
ap-1690	112	30	ω2fc	ω2fc	NUM
ap-1690	112	31	,	,	PUNCT
ap-1690	112	32	n−1/2	n−1/2	PROPN
ap-1690	112	33	i	i	PRON
ap-1690	112	34	(	(	PUNCT
ap-1690	112	35	wn+1)−fv	wn+1)−fv	PROPN
ap-1690	112	36	,	,	PUNCT
ap-1690	112	37	n+1	n+1	PROPN
ap-1690	112	38	i	i	PROPN
ap-1690	112	39	(	(	PUNCT
ap-1690	112	40	wn+1	wn+1	NOUN
ap-1690	112	41	)	)	PUNCT
ap-1690	112	42	+	+	NUM
ap-1690	112	43	adn+1	adn+1	PROPN
ap-1690	112	44	i	i	PRON
ap-1690	112	45	(	(	PUNCT
ap-1690	112	46	wn+1	wn+1	NOUN
ap-1690	112	47	)	)	PUNCT
ap-1690	112	48	and	and	CCONJ
ap-1690	112	49	ω1	ω1	PROPN
ap-1690	112	50	=	=	SYM
ap-1690	112	51	αn+1	αn+1	NUM
ap-1690	112	52	,	,	PUNCT
ap-1690	112	53	ω2	ω2	NOUN
ap-1690	112	54	=	=	SYM
ap-1690	112	55	−αn−1	−αn−1	X
ap-1690	112	56	/	/	SYM
ap-1690	112	57	θ	θ	NOUN
ap-1690	112	58	.	.	PUNCT
ap-1690	113	1	the	the	DET
ap-1690	113	2	symbol	symbol	NOUN
ap-1690	113	3	adn+1	adn+1	PROPN
ap-1690	113	4	i	i	PRON
ap-1690	113	5	(	(	PUNCT
ap-1690	113	6	wn+1	wn+1	PROPN
ap-1690	113	7	)	)	PUNCT
ap-1690	113	8	stands	stand	VERB
ap-1690	113	9	for	for	ADP
ap-1690	113	10	the	the	DET
ap-1690	113	11	artificial	artificial	ADJ
ap-1690	113	12	dissipation	dissipation	NOUN
ap-1690	113	13	term	term	NOUN
ap-1690	113	14	(	(	PUNCT
ap-1690	113	15	see	see	VERB
ap-1690	113	16	[	[	X
ap-1690	113	17	15	15	NUM
ap-1690	113	18	]	]	NUM
ap-1690	113	19	)	)	PUNCT
ap-1690	113	20	.	.	PUNCT
ap-1690	114	1	the	the	DET
ap-1690	114	2	approximation	approximation	NOUN
ap-1690	114	3	of	of	ADP
ap-1690	114	4	the	the	DET
ap-1690	114	5	convective	convective	ADJ
ap-1690	114	6	fluxes	flux	NOUN
ap-1690	114	7	fc	fc	PROPN
ap-1690	114	8	,	,	PUNCT
ap-1690	114	9	n±1/2	n±1/2	PROPN
ap-1690	114	10	i	i	PRON
ap-1690	114	11	is	be	AUX
ap-1690	114	12	given	give	VERB
ap-1690	114	13	by	by	ADP
ap-1690	114	14	fc	fc	PROPN
ap-1690	114	15	,	,	PUNCT
ap-1690	114	16	mi	mi	PROPN
ap-1690	114	17	(	(	PUNCT
ap-1690	114	18	wn+1	wn+1	PROPN
ap-1690	114	19	)	)	PUNCT
ap-1690	114	20	=	=	SYM
ap-1690	114	21	∑	∑	PUNCT
ap-1690	114	22	j∈n(i	j∈n(i	PROPN
ap-1690	114	23	)	)	PUNCT
ap-1690	114	24	(	(	PUNCT
ap-1690	114	25	f̃	f̃	PROPN
ap-1690	114	26	c(wn+1	c(wn+1	PROPN
ap-1690	114	27	ij	ij	NOUN
ap-1690	114	28	,	,	PUNCT
ap-1690	114	29	wm1	wm1	ADJ
ap-1690	114	30	)	)	PUNCT
ap-1690	114	31	∆ymij	∆ymij	VERB
ap-1690	114	32	−	−	PROPN
ap-1690	114	33	g̃c(wn+1	g̃c(wn+1	PROPN
ap-1690	114	34	ij	ij	INTJ
ap-1690	114	35	,	,	PUNCT
ap-1690	114	36	wm2	wm2	PROPN
ap-1690	114	37	)	)	PUNCT
ap-1690	114	38	∆xmij	∆xmij	NUM
ap-1690	114	39	)	)	PUNCT
ap-1690	114	40	,	,	PUNCT
ap-1690	114	41	where	where	SCONJ
ap-1690	114	42	wn+1	wn+1	VERB
ap-1690	114	43	ij	ij	NOUN
ap-1690	114	44	=	=	PUNCT
ap-1690	114	45	(	(	PUNCT
ap-1690	114	46	wn+1	wn+1	VERB
ap-1690	114	47	i	i	PRON
ap-1690	114	48	+	+	CCONJ
ap-1690	114	49	wn+1	wn+1	VERB
ap-1690	114	50	j	j	PROPN
ap-1690	114	51	)	)	PUNCT
ap-1690	114	52	/2	/2	PROPN
ap-1690	114	53	,	,	PUNCT
ap-1690	114	54	xn+1/2	xn+1/2	PROPN
ap-1690	114	55	=	=	PUNCT
ap-1690	115	1	(	(	PUNCT
ap-1690	115	2	xn+1	xn+1	PROPN
ap-1690	115	3	+	+	CCONJ
ap-1690	115	4	xn)/2	xn)/2	PROPN
ap-1690	115	5	,	,	PUNCT
ap-1690	115	6	wn+1/2	wn+1/2	PROPN
ap-1690	115	7	=	=	SYM
ap-1690	115	8	(	(	PUNCT
ap-1690	115	9	xn+1	xn+1	NUM
ap-1690	115	10	−	−	NOUN
ap-1690	115	11	xn)/∆tn	xn)/∆tn	PUNCT
ap-1690	115	12	and	and	CCONJ
ap-1690	115	13	∆xmij	∆xmij	NOUN
ap-1690	115	14	,	,	PUNCT
ap-1690	115	15	∆ymij	∆ymij	NOUN
ap-1690	115	16	are	be	AUX
ap-1690	115	17	the	the	DET
ap-1690	115	18	xand	xand	PROPN
ap-1690	115	19	y	y	NOUN
ap-1690	115	20	-	-	PUNCT
ap-1690	115	21	coordinate	coordinate	NOUN
ap-1690	115	22	differences	difference	NOUN
ap-1690	115	23	of	of	ADP
ap-1690	115	24	the	the	DET
ap-1690	115	25	segment	segment	NOUN
ap-1690	115	26	γmij	γmij	NOUN
ap-1690	115	27	.	.	PUNCT
ap-1690	116	1	the	the	DET
ap-1690	116	2	approximation	approximation	NOUN
ap-1690	116	3	of	of	ADP
ap-1690	116	4	the	the	DET
ap-1690	116	5	fluxes	flux	NOUN
ap-1690	116	6	given	give	VERB
ap-1690	116	7	by	by	ADP
ap-1690	116	8	ri(wn+1	ri(wn+1	PROPN
ap-1690	116	9	)	)	PUNCT
ap-1690	116	10	guarantees	guarantee	VERB
ap-1690	116	11	the	the	DET
ap-1690	116	12	satisfaction	satisfaction	NOUN
ap-1690	116	13	of	of	ADP
ap-1690	116	14	gcl	gcl	NOUN
ap-1690	116	15	,	,	PUNCT
ap-1690	116	16	see	see	VERB
ap-1690	116	17	[	[	X
ap-1690	116	18	19	19	NUM
ap-1690	116	19	]	]	PUNCT
ap-1690	116	20	.	.	PUNCT
ap-1690	117	1	the	the	DET
ap-1690	117	2	approximation	approximation	NOUN
ap-1690	117	3	of	of	ADP
ap-1690	117	4	the	the	DET
ap-1690	117	5	viscous	viscous	ADJ
ap-1690	117	6	fluxes	flux	NOUN
ap-1690	117	7	is	be	AUX
ap-1690	117	8	evaluated	evaluate	VERB
ap-1690	117	9	on	on	ADP
ap-1690	117	10	the	the	DET
ap-1690	117	11	mesh	mesh	NOUN
ap-1690	117	12	configuration	configuration	NOUN
ap-1690	117	13	at	at	ADP
ap-1690	117	14	the	the	DET
ap-1690	117	15	time	time	NOUN
ap-1690	117	16	instant	instant	NOUN
ap-1690	117	17	tn+1	tn+1	NOUN
ap-1690	117	18	and	and	CCONJ
ap-1690	117	19	reads	read	VERB
ap-1690	117	20	fv	fv	PROPN
ap-1690	117	21	,	,	PUNCT
ap-1690	117	22	n+1	n+1	PROPN
ap-1690	117	23	i	i	PROPN
ap-1690	117	24	(	(	PUNCT
ap-1690	117	25	wn+1	wn+1	NOUN
ap-1690	117	26	)	)	PUNCT
ap-1690	117	27	=	=	SYM
ap-1690	117	28	1	1	NUM
ap-1690	117	29	re	re	ADP
ap-1690	117	30	∑	∑	NOUN
ap-1690	117	31	j∈n(i	j∈n(i	PROPN
ap-1690	117	32	)	)	PUNCT
ap-1690	117	33	f̂	f̂	X
ap-1690	117	34	v|n+1	v|n+1	PROPN
ap-1690	117	35	ij	ij	INTJ
ap-1690	117	36	∆yn+1	∆yn+1	NOUN
ap-1690	117	37	ij	ij	NOUN
ap-1690	117	38	−	−	PROPN
ap-1690	117	39	ĝv|n+1	ĝv|n+1	PROPN
ap-1690	117	40	ij	ij	X
ap-1690	117	41	∆xn+1	∆xn+1	X
ap-1690	117	42	ij	ij	NOUN
ap-1690	117	43	,	,	PUNCT
ap-1690	117	44	where	where	SCONJ
ap-1690	117	45	f̂	f̂	NUM
ap-1690	117	46	v|n+1	v|n+1	PROPN
ap-1690	117	47	ij	ij	NOUN
ap-1690	117	48	=	=	SYM
ap-1690	117	49	(	(	PUNCT
ap-1690	117	50	0	0	NUM
ap-1690	117	51	,	,	PUNCT
ap-1690	117	52	ûx|n+1	ûx|n+1	VERB
ap-1690	117	53	ij	ij	INTJ
ap-1690	117	54	,	,	PUNCT
ap-1690	117	55	v̂x|n+1	v̂x|n+1	X
ap-1690	117	56	ij	ij	NOUN
ap-1690	117	57	)	)	PUNCT
ap-1690	117	58	t	t	PROPN
ap-1690	117	59	,	,	PUNCT
ap-1690	117	60	ĝv|n+1	ĝv|n+1	PROPN
ap-1690	118	1	ij	ij	NOUN
ap-1690	118	2	=	=	SYM
ap-1690	118	3	(	(	PUNCT
ap-1690	118	4	0	0	NUM
ap-1690	118	5	,	,	PUNCT
ap-1690	118	6	ûy|n+1	ûy|n+1	ADJ
ap-1690	118	7	ij	ij	NOUN
ap-1690	118	8	,	,	PUNCT
ap-1690	118	9	v̂y|n+1	v̂y|n+1	PRON
ap-1690	118	10	ij	ij	NOUN
ap-1690	118	11	)	)	PUNCT
ap-1690	118	12	t	t	NOUN
ap-1690	118	13	,	,	PUNCT
ap-1690	118	14	and	and	CCONJ
ap-1690	118	15	ûx|n+1	ûx|n+1	VERB
ap-1690	118	16	ij	ij	INTJ
ap-1690	118	17	,	,	PUNCT
ap-1690	118	18	ûy|n+1	ûy|n+1	ADJ
ap-1690	118	19	ij	ij	INTJ
ap-1690	118	20	,	,	PUNCT
ap-1690	118	21	v̂x|n+1	v̂x|n+1	X
ap-1690	118	22	ij	ij	INTJ
ap-1690	118	23	,	,	PUNCT
ap-1690	118	24	v̂y|n+1	v̂y|n+1	DET
ap-1690	118	25	ij	ij	NOUN
ap-1690	118	26	are	be	AUX
ap-1690	118	27	the	the	DET
ap-1690	118	28	approximations	approximation	NOUN
ap-1690	118	29	of	of	ADP
ap-1690	118	30	the	the	DET
ap-1690	118	31	first	first	ADJ
ap-1690	118	32	partial	partial	ADJ
ap-1690	118	33	derivatives	derivative	NOUN
ap-1690	118	34	of	of	ADP
ap-1690	118	35	u	u	NOUN
ap-1690	118	36	and	and	CCONJ
ap-1690	118	37	v	v	NOUN
ap-1690	118	38	with	with	ADP
ap-1690	118	39	respect	respect	NOUN
ap-1690	118	40	to	to	ADP
ap-1690	118	41	x	x	PUNCT
ap-1690	118	42	and	and	CCONJ
ap-1690	118	43	y	y	PROPN
ap-1690	118	44	evaluated	evaluate	VERB
ap-1690	118	45	by	by	ADP
ap-1690	118	46	the	the	DET
ap-1690	118	47	use	use	NOUN
ap-1690	118	48	of	of	ADP
ap-1690	118	49	dual	dual	ADJ
ap-1690	118	50	finite	finite	ADJ
ap-1690	118	51	volume	volume	NOUN
ap-1690	118	52	cells	cell	NOUN
ap-1690	118	53	,	,	PUNCT
ap-1690	118	54	see	see	VERB
ap-1690	118	55	[	[	X
ap-1690	118	56	15	15	NUM
ap-1690	118	57	]	]	PUNCT
ap-1690	118	58	.	.	PUNCT
ap-1690	119	1	finally	finally	ADV
ap-1690	119	2	,	,	PUNCT
ap-1690	119	3	to	to	PART
ap-1690	119	4	find	find	VERB
ap-1690	119	5	the	the	DET
ap-1690	119	6	steady	steady	ADJ
ap-1690	119	7	state	state	NOUN
ap-1690	119	8	solution	solution	NOUN
ap-1690	119	9	of	of	ADP
ap-1690	119	10	(	(	PUNCT
ap-1690	119	11	9	9	NUM
ap-1690	119	12	)	)	PUNCT
ap-1690	119	13	in	in	ADP
ap-1690	119	14	the	the	DET
ap-1690	119	15	dual	dual	ADJ
ap-1690	119	16	-	-	PUNCT
ap-1690	119	17	time	time	NOUN
ap-1690	119	18	τ	τ	PROPN
ap-1690	119	19	the	the	DET
ap-1690	119	20	four	four	NUM
ap-1690	119	21	-	-	PUNCT
ap-1690	119	22	stage	stage	NOUN
ap-1690	119	23	runge	runge	NOUN
ap-1690	119	24	-	-	PUNCT
ap-1690	119	25	kutta	kutta	NOUN
ap-1690	119	26	scheme	scheme	NOUN
ap-1690	119	27	is	be	AUX
ap-1690	119	28	used	use	VERB
ap-1690	119	29	.	.	PUNCT
ap-1690	120	1	denoting	denote	VERB
ap-1690	120	2	r̃n+1	r̃n+1	NOUN
ap-1690	120	3	i	i	PRON
ap-1690	120	4	(	(	PUNCT
ap-1690	120	5	wn+1	wn+1	NOUN
ap-1690	120	6	)	)	PUNCT
ap-1690	120	7	=	=	SYM
ap-1690	120	8	dδn+1	dδn+1	PROPN
ap-1690	120	9	t	t	PROPN
ap-1690	120	10	wn+1	wn+1	VERB
ap-1690	120	11	i	i	PRON
ap-1690	120	12	+	+	NOUN
ap-1690	120	13	ri(wn+1	ri(wn+1	ADJ
ap-1690	120	14	)	)	PUNCT
ap-1690	120	15	,	,	PUNCT
ap-1690	120	16	equation	equation	NOUN
ap-1690	120	17	(	(	PUNCT
ap-1690	120	18	9	9	NUM
ap-1690	120	19	)	)	PUNCT
ap-1690	120	20	can	can	AUX
ap-1690	120	21	be	be	AUX
ap-1690	120	22	written	write	VERB
ap-1690	120	23	in	in	ADP
ap-1690	120	24	the	the	DET
ap-1690	120	25	form	form	NOUN
ap-1690	120	26	:	:	PUNCT
ap-1690	120	27	∂wn+1	∂wn+1	NOUN
ap-1690	121	1	i	i	PRON
ap-1690	121	2	∂τ	∂τ	NOUN
ap-1690	122	1	=	=	PUNCT
ap-1690	122	2	−d−1	−d−1	NUM
ap-1690	122	3	β	β	SYM
ap-1690	122	4	1	1	NUM
ap-1690	122	5	|cn+1	|cn+1	NOUN
ap-1690	122	6	i	i	PROPN
ap-1690	122	7	|	|	ADV
ap-1690	122	8	r̃i(wn+1	r̃i(wn+1	PROPN
ap-1690	122	9	)	)	PUNCT
ap-1690	122	10	,	,	PUNCT
ap-1690	122	11	and	and	CCONJ
ap-1690	122	12	solved	solve	VERB
ap-1690	122	13	with	with	ADP
ap-1690	122	14	the	the	DET
ap-1690	122	15	aid	aid	NOUN
ap-1690	122	16	of	of	ADP
ap-1690	122	17	runge	runge	NOUN
ap-1690	122	18	-	-	PUNCT
ap-1690	122	19	kutta	kutta	NOUN
ap-1690	122	20	method	method	NOUN
ap-1690	122	21	,	,	PUNCT
ap-1690	122	22	cf	cf	NOUN
ap-1690	122	23	.	.	PUNCT
ap-1690	123	1	[	[	X
ap-1690	123	2	15	15	NUM
ap-1690	123	3	]	]	SYM
ap-1690	123	4	.	.	PUNCT
ap-1690	124	1	4	4	NUM
ap-1690	124	2	finite	finite	PROPN
ap-1690	124	3	element	element	NOUN
ap-1690	124	4	method	method	NOUN
ap-1690	124	5	4.1	4.1	NUM
ap-1690	124	6	mathematical	mathematical	ADJ
ap-1690	124	7	model	model	NOUN
ap-1690	124	8	of	of	ADP
ap-1690	124	9	the	the	DET
ap-1690	124	10	flow	flow	NOUN
ap-1690	124	11	for	for	ADP
ap-1690	124	12	the	the	DET
ap-1690	124	13	application	application	NOUN
ap-1690	124	14	of	of	ADP
ap-1690	124	15	the	the	DET
ap-1690	124	16	finite	finite	ADJ
ap-1690	124	17	element	element	NOUN
ap-1690	124	18	method	method	NOUN
ap-1690	124	19	,	,	PUNCT
ap-1690	124	20	the	the	DET
ap-1690	124	21	flow	flow	NOUN
ap-1690	124	22	was	be	AUX
ap-1690	124	23	described	describe	VERB
ap-1690	124	24	by	by	ADP
ap-1690	124	25	the	the	DET
ap-1690	124	26	incompressible	incompressible	ADJ
ap-1690	124	27	navierstokes	navierstoke	NOUN
ap-1690	124	28	equations	equation	NOUN
ap-1690	124	29	written	write	VERB
ap-1690	124	30	in	in	ADP
ap-1690	124	31	the	the	DET
ap-1690	124	32	ale	ale	NOUN
ap-1690	124	33	form	form	NOUN
ap-1690	124	34	dau	dau	NOUN
ap-1690	125	1	dt	dt	NOUN
ap-1690	126	1	−	−	PROPN
ap-1690	126	2	1	1	NUM
ap-1690	126	3	re	re	NOUN
ap-1690	126	4	4u	4u	NOUN
ap-1690	126	5	+	+	CCONJ
ap-1690	126	6	(	(	PUNCT
ap-1690	126	7	u−w	u−w	PROPN
ap-1690	126	8	)	)	PUNCT
ap-1690	126	9	·	·	PUNCT
ap-1690	127	1	∇u	∇u	X
ap-1690	128	1	+	+	NOUN
ap-1690	128	2	∇p	∇p	ADJ
ap-1690	128	3	=	=	NOUN
ap-1690	128	4	0	0	NUM
ap-1690	128	5	,	,	PUNCT
ap-1690	128	6	(	(	PUNCT
ap-1690	128	7	10	10	NUM
ap-1690	128	8	)	)	PUNCT
ap-1690	128	9	div	div	NOUN
ap-1690	128	10	u	u	NOUN
ap-1690	128	11	=	=	PROPN
ap-1690	128	12	0	0	NUM
ap-1690	128	13	,	,	PUNCT
ap-1690	128	14	in	in	ADP
ap-1690	128	15	ωt	ωt	ADP
ap-1690	128	16	⊂	⊂	PROPN
ap-1690	128	17	r2	r2	PROPN
ap-1690	128	18	,	,	PUNCT
ap-1690	128	19	where	where	SCONJ
ap-1690	128	20	da	da	PROPN
ap-1690	128	21	dt	dt	PROPN
ap-1690	128	22	is	be	AUX
ap-1690	128	23	the	the	DET
ap-1690	128	24	ale	ale	NOUN
ap-1690	128	25	derivative	derivative	NOUN
ap-1690	128	26	,	,	PUNCT
ap-1690	128	27	u	u	PROPN
ap-1690	128	28	denotes	denote	VERB
ap-1690	128	29	the	the	DET
ap-1690	128	30	velocity	velocity	NOUN
ap-1690	128	31	vector	vector	NOUN
ap-1690	128	32	,	,	PUNCT
ap-1690	128	33	p	p	NOUN
ap-1690	128	34	denotes	denote	VERB
ap-1690	128	35	the	the	DET
ap-1690	128	36	nondimensional	nondimensional	ADJ
ap-1690	128	37	pressure	pressure	NOUN
ap-1690	128	38	,	,	PUNCT
ap-1690	128	39	w	w	PROPN
ap-1690	128	40	is	be	AUX
ap-1690	128	41	the	the	DET
ap-1690	128	42	domain	domain	NOUN
ap-1690	128	43	velocity	velocity	NOUN
ap-1690	128	44	known	know	VERB
ap-1690	128	45	from	from	ADP
ap-1690	128	46	the	the	DET
ap-1690	128	47	ale	ale	NOUN
ap-1690	128	48	method	method	NOUN
ap-1690	128	49	,	,	PUNCT
ap-1690	128	50	and	and	CCONJ
ap-1690	128	51	re	re	NOUN
ap-1690	128	52	denotes	denote	VERB
ap-1690	128	53	the	the	DET
ap-1690	128	54	reynolds	reynolds	PROPN
ap-1690	128	55	number	number	NOUN
ap-1690	128	56	.	.	PUNCT
ap-1690	129	1	furthermore	furthermore	ADV
ap-1690	129	2	,	,	PUNCT
ap-1690	129	3	equation	equation	NOUN
ap-1690	129	4	(	(	PUNCT
ap-1690	129	5	10	10	NUM
ap-1690	129	6	)	)	PUNCT
ap-1690	129	7	is	be	AUX
ap-1690	129	8	equipped	equip	VERB
ap-1690	129	9	with	with	ADP
ap-1690	129	10	the	the	DET
ap-1690	129	11	boundary	boundary	ADJ
ap-1690	129	12	conditions	condition	NOUN
ap-1690	129	13	a	a	PRON
ap-1690	129	14	)	)	PUNCT
ap-1690	129	15	u(x	u(x	PROPN
ap-1690	129	16	,	,	PUNCT
ap-1690	129	17	t	t	NOUN
ap-1690	129	18	)	)	PUNCT
ap-1690	129	19	=	=	PUNCT
ap-1690	130	1	ud(x	ud(x	X
ap-1690	130	2	)	)	PUNCT
ap-1690	130	3	for	for	ADP
ap-1690	130	4	x	x	PROPN
ap-1690	130	5	∈	∈	PROPN
ap-1690	130	6	γd	γd	ADP
ap-1690	130	7	,	,	PUNCT
ap-1690	130	8	b	b	NOUN
ap-1690	130	9	)	)	PUNCT
ap-1690	130	10	u(x	u(x	PROPN
ap-1690	130	11	,	,	PUNCT
ap-1690	130	12	t	t	NOUN
ap-1690	130	13	)	)	PUNCT
ap-1690	130	14	=	=	SYM
ap-1690	131	1	w(x	w(x	PROPN
ap-1690	131	2	,	,	PUNCT
ap-1690	131	3	t	t	PROPN
ap-1690	131	4	)	)	PUNCT
ap-1690	131	5	for	for	ADP
ap-1690	131	6	x	x	PROPN
ap-1690	131	7	∈	∈	PROPN
ap-1690	131	8	γwt	γwt	NOUN
ap-1690	131	9	,	,	PUNCT
ap-1690	131	10	(	(	PUNCT
ap-1690	131	11	11	11	NUM
ap-1690	131	12	)	)	PUNCT
ap-1690	131	13	c	c	NOUN
ap-1690	131	14	)	)	PUNCT
ap-1690	132	1	−pn	−pn	PROPN
ap-1690	132	2	+	+	NOUN
ap-1690	132	3	1	1	NUM
ap-1690	132	4	2(u	2(u	NUM
ap-1690	132	5	·	·	PUNCT
ap-1690	132	6	n)−u	n)−u	PUNCT
ap-1690	133	1	+	+	NUM
ap-1690	133	2	ν	ν	X
ap-1690	133	3	∂u	∂u	PROPN
ap-1690	133	4	∂n	∂n	PROPN
ap-1690	133	5	=	=	SYM
ap-1690	133	6	0	0	PROPN
ap-1690	133	7	,	,	PUNCT
ap-1690	133	8	on	on	ADP
ap-1690	133	9	γo	γo	ADP
ap-1690	133	10	,	,	PUNCT
ap-1690	133	11	where	where	SCONJ
ap-1690	133	12	n	n	PRON
ap-1690	133	13	denotes	denote	VERB
ap-1690	133	14	the	the	DET
ap-1690	133	15	unit	unit	NOUN
ap-1690	133	16	outward	outward	VERB
ap-1690	133	17	normal	normal	ADJ
ap-1690	133	18	vector	vector	NOUN
ap-1690	133	19	,	,	PUNCT
ap-1690	133	20	ud	ud	INTJ
ap-1690	133	21	is	be	AUX
ap-1690	133	22	the	the	DET
ap-1690	133	23	dirichlet	dirichlet	PROPN
ap-1690	133	24	boundary	boundary	ADJ
ap-1690	133	25	condition	condition	NOUN
ap-1690	133	26	,	,	PUNCT
ap-1690	133	27	and	and	CCONJ
ap-1690	133	28	(	(	PUNCT
ap-1690	133	29	α)−	α)−	PROPN
ap-1690	133	30	denotes	denote	VERB
ap-1690	133	31	the	the	DET
ap-1690	133	32	negative	negative	ADJ
ap-1690	133	33	part	part	NOUN
ap-1690	133	34	of	of	ADP
ap-1690	133	35	a	a	DET
ap-1690	133	36	real	real	ADJ
ap-1690	133	37	number	number	NOUN
ap-1690	133	38	α	α	NOUN
ap-1690	133	39	,	,	PUNCT
ap-1690	133	40	see	see	VERB
ap-1690	133	41	also	also	ADV
ap-1690	133	42	[	[	X
ap-1690	133	43	2	2	NUM
ap-1690	133	44	]	]	PUNCT
ap-1690	133	45	,	,	PUNCT
ap-1690	133	46	[	[	X
ap-1690	133	47	14	14	NUM
ap-1690	133	48	]	]	PUNCT
ap-1690	133	49	.	.	PUNCT
ap-1690	134	1	further	far	ADV
ap-1690	134	2	,	,	PUNCT
ap-1690	134	3	system	system	NOUN
ap-1690	134	4	(	(	PUNCT
ap-1690	134	5	10	10	NUM
ap-1690	134	6	)	)	PUNCT
ap-1690	134	7	is	be	AUX
ap-1690	134	8	equipped	equip	VERB
ap-1690	134	9	with	with	ADP
ap-1690	134	10	the	the	DET
ap-1690	134	11	initial	initial	ADJ
ap-1690	134	12	condition	condition	NOUN
ap-1690	134	13	u(x	u(x	NOUN
ap-1690	134	14	,	,	PUNCT
ap-1690	134	15	0	0	NUM
ap-1690	134	16	)	)	PUNCT
ap-1690	134	17	=	=	SYM
ap-1690	134	18	u0(x	u0(x	NOUN
ap-1690	134	19	)	)	PUNCT
ap-1690	134	20	.	.	PUNCT
ap-1690	135	1	4.2	4.2	NUM
ap-1690	135	2	finite	finite	PROPN
ap-1690	135	3	element	element	NOUN
ap-1690	135	4	approximation	approximation	NOUN
ap-1690	135	5	fem	fem	NOUN
ap-1690	135	6	is	be	AUX
ap-1690	135	7	well	well	ADV
ap-1690	135	8	known	know	VERB
ap-1690	135	9	as	as	ADP
ap-1690	135	10	a	a	DET
ap-1690	135	11	general	general	ADJ
ap-1690	135	12	discretization	discretization	NOUN
ap-1690	135	13	method	method	NOUN
ap-1690	135	14	for	for	ADP
ap-1690	135	15	partial	partial	ADJ
ap-1690	135	16	differential	differential	ADJ
ap-1690	135	17	equations	equation	NOUN
ap-1690	135	18	.	.	PUNCT
ap-1690	136	1	however	however	ADV
ap-1690	136	2	,	,	PUNCT
ap-1690	136	3	straightforward	straightforward	ADJ
ap-1690	136	4	application	application	NOUN
ap-1690	136	5	of	of	ADP
ap-1690	136	6	fem	fem	NOUN
ap-1690	136	7	procedures	procedure	NOUN
ap-1690	136	8	often	often	ADV
ap-1690	136	9	fails	fail	VERB
ap-1690	136	10	in	in	ADP
ap-1690	136	11	the	the	DET
ap-1690	136	12	case	case	NOUN
ap-1690	136	13	of	of	ADP
ap-1690	136	14	incompressible	incompressible	ADJ
ap-1690	136	15	navier	navier	NOUN
ap-1690	136	16	-	-	PUNCT
ap-1690	136	17	stokes	stoke	NOUN
ap-1690	136	18	equations	equation	NOUN
ap-1690	136	19	.	.	PUNCT
ap-1690	137	1	the	the	DET
ap-1690	137	2	reason	reason	NOUN
ap-1690	137	3	is	be	AUX
ap-1690	137	4	that	that	SCONJ
ap-1690	137	5	momentum	momentum	NOUN
ap-1690	137	6	equations	equation	NOUN
ap-1690	137	7	are	be	AUX
ap-1690	137	8	of	of	ADP
ap-1690	137	9	advectiondiffusion	advectiondiffusion	NOUN
ap-1690	137	10	type	type	NOUN
ap-1690	137	11	,	,	PUNCT
ap-1690	137	12	with	with	ADP
ap-1690	137	13	the	the	DET
ap-1690	137	14	dominating	dominating	NOUN
ap-1690	137	15	advection	advection	NOUN
ap-1690	137	16	,	,	PUNCT
ap-1690	137	17	the	the	DET
ap-1690	137	18	galerkin	galerkin	ADJ
ap-1690	137	19	fem	fem	NOUN
ap-1690	137	20	leads	lead	VERB
ap-1690	137	21	to	to	ADP
ap-1690	137	22	unphysical	unphysical	ADJ
ap-1690	137	23	solutions	solution	NOUN
ap-1690	137	24	if	if	SCONJ
ap-1690	137	25	the	the	DET
ap-1690	137	26	grid	grid	NOUN
ap-1690	137	27	is	be	AUX
ap-1690	137	28	not	not	PART
ap-1690	137	29	fine	fine	ADJ
ap-1690	137	30	enough	enough	ADV
ap-1690	137	31	in	in	ADP
ap-1690	137	32	regions	region	NOUN
ap-1690	137	33	of	of	ADP
ap-1690	137	34	strong	strong	ADJ
ap-1690	137	35	gradients	gradient	NOUN
ap-1690	137	36	108	108	NUM
ap-1690	137	37	acta	acta	PROPN
ap-1690	137	38	polytechnica	polytechnica	PROPN
ap-1690	137	39	vol	vol	NOUN
ap-1690	137	40	.	.	PROPN
ap-1690	138	1	52	52	NUM
ap-1690	138	2	no	no	NOUN
ap-1690	138	3	.	.	PUNCT
ap-1690	139	1	6/2012	6/2012	NUM
ap-1690	139	2	(	(	PUNCT
ap-1690	139	3	e.g.	e.g.	ADV
ap-1690	139	4	in	in	ADP
ap-1690	139	5	the	the	DET
ap-1690	139	6	boundary	boundary	ADJ
ap-1690	139	7	layer	layer	NOUN
ap-1690	139	8	)	)	PUNCT
ap-1690	139	9	.	.	PUNCT
ap-1690	140	1	in	in	ADP
ap-1690	140	2	order	order	NOUN
ap-1690	140	3	to	to	PART
ap-1690	140	4	obtain	obtain	VERB
ap-1690	140	5	physically	physically	ADV
ap-1690	140	6	admissible	admissible	ADJ
ap-1690	140	7	correct	correct	ADJ
ap-1690	140	8	solutions	solution	NOUN
ap-1690	140	9	it	it	PRON
ap-1690	140	10	is	be	AUX
ap-1690	140	11	necessary	necessary	ADJ
ap-1690	140	12	to	to	PART
ap-1690	140	13	apply	apply	VERB
ap-1690	140	14	suitable	suitable	ADJ
ap-1690	140	15	mesh	mesh	NOUN
ap-1690	140	16	refinement	refinement	NOUN
ap-1690	140	17	(	(	PUNCT
ap-1690	140	18	e.g.	e.g.	ADV
ap-1690	140	19	an	an	DET
ap-1690	140	20	anisotropically	anisotropically	ADV
ap-1690	140	21	refined	refine	VERB
ap-1690	140	22	mesh	mesh	NOUN
ap-1690	140	23	,	,	PUNCT
ap-1690	140	24	cf	cf	NOUN
ap-1690	140	25	.	.	PUNCT
ap-1690	141	1	[	[	X
ap-1690	141	2	8	8	NUM
ap-1690	141	3	]	]	PUNCT
ap-1690	141	4	)	)	PUNCT
ap-1690	141	5	combined	combine	VERB
ap-1690	141	6	with	with	ADP
ap-1690	141	7	a	a	DET
ap-1690	141	8	stabilization	stabilization	NOUN
ap-1690	141	9	technique	technique	NOUN
ap-1690	141	10	,	,	PUNCT
ap-1690	141	11	cf	cf	NOUN
ap-1690	141	12	.	.	PUNCT
ap-1690	142	1	[	[	X
ap-1690	142	2	5	5	NUM
ap-1690	142	3	]	]	PUNCT
ap-1690	142	4	,	,	PUNCT
ap-1690	142	5	[	[	X
ap-1690	142	6	27	27	NUM
ap-1690	142	7	]	]	PUNCT
ap-1690	142	8	.	.	PUNCT
ap-1690	143	1	in	in	ADP
ap-1690	143	2	this	this	DET
ap-1690	143	3	work	work	NOUN
ap-1690	143	4	,	,	PUNCT
ap-1690	143	5	fem	fem	NOUN
ap-1690	143	6	is	be	AUX
ap-1690	143	7	stabilized	stabilize	VERB
ap-1690	143	8	with	with	ADP
ap-1690	143	9	the	the	DET
ap-1690	143	10	aid	aid	NOUN
ap-1690	143	11	of	of	ADP
ap-1690	143	12	the	the	DET
ap-1690	143	13	streamline	streamline	ADJ
ap-1690	143	14	upwind	upwind	NOUN
ap-1690	143	15	/	/	SYM
ap-1690	143	16	pressure	pressure	NOUN
ap-1690	143	17	stabilizing	stabilize	VERB
ap-1690	143	18	petrov	petrov	PROPN
ap-1690	143	19	-	-	PUNCT
ap-1690	143	20	galerkin	galerkin	PROPN
ap-1690	143	21	(	(	PUNCT
ap-1690	143	22	supg	supg	NOUN
ap-1690	143	23	/	/	SYM
ap-1690	143	24	pspg	pspg	PROPN
ap-1690	143	25	)	)	PUNCT
ap-1690	143	26	method	method	NOUN
ap-1690	143	27	(	(	PUNCT
ap-1690	143	28	the	the	DET
ap-1690	143	29	so	so	ADV
ap-1690	143	30	called	call	VERB
ap-1690	143	31	fully	fully	ADV
ap-1690	143	32	stabilized	stabilize	VERB
ap-1690	143	33	scheme	scheme	NOUN
ap-1690	143	34	,	,	PUNCT
ap-1690	143	35	cf	cf	NOUN
ap-1690	143	36	.	.	PUNCT
ap-1690	144	1	[	[	X
ap-1690	144	2	13	13	NUM
ap-1690	144	3	]	]	PUNCT
ap-1690	144	4	)	)	PUNCT
ap-1690	144	5	modified	modify	VERB
ap-1690	144	6	for	for	ADP
ap-1690	144	7	the	the	DET
ap-1690	144	8	application	application	NOUN
ap-1690	144	9	on	on	ADP
ap-1690	144	10	moving	move	VERB
ap-1690	144	11	domains	domain	NOUN
ap-1690	144	12	(	(	PUNCT
ap-1690	144	13	cf	cf	NOUN
ap-1690	144	14	.	.	PUNCT
ap-1690	145	1	[	[	X
ap-1690	145	2	28	28	NUM
ap-1690	145	3	]	]	PUNCT
ap-1690	145	4	)	)	PUNCT
ap-1690	145	5	.	.	PUNCT
ap-1690	146	1	in	in	ADP
ap-1690	146	2	order	order	NOUN
ap-1690	146	3	to	to	PART
ap-1690	146	4	discretize	discretize	VERB
ap-1690	146	5	the	the	DET
ap-1690	146	6	problem	problem	NOUN
ap-1690	146	7	(	(	PUNCT
ap-1690	146	8	10	10	NUM
ap-1690	146	9	)	)	PUNCT
ap-1690	146	10	,	,	PUNCT
ap-1690	146	11	we	we	PRON
ap-1690	146	12	approximate	approximate	VERB
ap-1690	146	13	the	the	DET
ap-1690	146	14	time	time	NOUN
ap-1690	146	15	derivative	derivative	ADJ
ap-1690	146	16	by	by	ADP
ap-1690	146	17	the	the	DET
ap-1690	146	18	second	second	ADJ
ap-1690	146	19	order	order	NOUN
ap-1690	146	20	backward	backward	ADJ
ap-1690	146	21	difference	difference	NOUN
ap-1690	146	22	formula	formula	NOUN
ap-1690	146	23	,	,	PUNCT
ap-1690	146	24	dau	dau	NOUN
ap-1690	146	25	dt	dt	X
ap-1690	146	26	(	(	PUNCT
ap-1690	146	27	x	x	PROPN
ap-1690	146	28	,	,	PUNCT
ap-1690	146	29	t	t	PROPN
ap-1690	146	30	)	)	PUNCT
ap-1690	147	1	≈	≈	PROPN
ap-1690	147	2	3un+1	3un+1	NUM
ap-1690	147	3	−	−	PROPN
ap-1690	148	1	4ûn	4ûn	NUM
ap-1690	148	2	+	+	NUM
ap-1690	148	3	ûn−1	ûn−1	NUM
ap-1690	148	4	2∆t	2∆t	NUM
ap-1690	148	5	,	,	PUNCT
ap-1690	148	6	where	where	SCONJ
ap-1690	148	7	un+1	un+1	NOUN
ap-1690	148	8	is	be	AUX
ap-1690	148	9	the	the	DET
ap-1690	148	10	flow	flow	NOUN
ap-1690	148	11	velocity	velocity	NOUN
ap-1690	148	12	at	at	ADP
ap-1690	148	13	time	time	NOUN
ap-1690	148	14	tn+1	tn+1	NOUN
ap-1690	148	15	defined	define	VERB
ap-1690	148	16	on	on	ADP
ap-1690	148	17	the	the	DET
ap-1690	148	18	computational	computational	ADJ
ap-1690	148	19	domain	domain	NOUN
ap-1690	148	20	ωn+1	ωn+1	NUM
ap-1690	148	21	,	,	PUNCT
ap-1690	148	22	and	and	CCONJ
ap-1690	148	23	ûk	ûk	PROPN
ap-1690	148	24	is	be	AUX
ap-1690	148	25	the	the	DET
ap-1690	148	26	transformation	transformation	NOUN
ap-1690	148	27	of	of	ADP
ap-1690	148	28	the	the	DET
ap-1690	148	29	flow	flow	NOUN
ap-1690	148	30	velocity	velocity	NOUN
ap-1690	148	31	at	at	ADP
ap-1690	148	32	time	time	NOUN
ap-1690	148	33	tk	tk	PROPN
ap-1690	148	34	defined	define	VERB
ap-1690	148	35	on	on	ADP
ap-1690	148	36	ωk	ωk	ADP
ap-1690	148	37	transformed	transform	VERB
ap-1690	148	38	onto	onto	ADP
ap-1690	148	39	ωn+1	ωn+1	PROPN
ap-1690	148	40	.	.	PUNCT
ap-1690	149	1	further	far	ADV
ap-1690	149	2	,	,	PUNCT
ap-1690	149	3	equation	equation	NOUN
ap-1690	149	4	(	(	PUNCT
ap-1690	149	5	10	10	NUM
ap-1690	149	6	)	)	PUNCT
ap-1690	149	7	is	be	AUX
ap-1690	149	8	formulated	formulate	VERB
ap-1690	149	9	weakly	weakly	ADJ
ap-1690	149	10	,	,	PUNCT
ap-1690	149	11	and	and	CCONJ
ap-1690	149	12	the	the	DET
ap-1690	149	13	solution	solution	NOUN
ap-1690	149	14	is	be	AUX
ap-1690	149	15	sought	seek	VERB
ap-1690	149	16	on	on	ADP
ap-1690	149	17	a	a	DET
ap-1690	149	18	couple	couple	NOUN
ap-1690	149	19	of	of	ADP
ap-1690	149	20	finite	finite	PROPN
ap-1690	149	21	element	element	NOUN
ap-1690	149	22	spaces	space	VERB
ap-1690	149	23	w∆	w∆	PROPN
ap-1690	149	24	⊂	⊂	X
ap-1690	149	25	h1(ωn+1	h1(ωn+1	PROPN
ap-1690	149	26	)	)	PUNCT
ap-1690	149	27	and	and	CCONJ
ap-1690	149	28	q∆	q∆	PROPN
ap-1690	149	29	⊂	⊂	PROPN
ap-1690	149	30	l2(ωn+1	l2(ωn+1	PROPN
ap-1690	149	31	)	)	PUNCT
ap-1690	149	32	for	for	ADP
ap-1690	149	33	approximation	approximation	NOUN
ap-1690	149	34	of	of	ADP
ap-1690	149	35	the	the	DET
ap-1690	149	36	velocity	velocity	NOUN
ap-1690	149	37	components	component	NOUN
ap-1690	149	38	and	and	CCONJ
ap-1690	149	39	pressure	pressure	NOUN
ap-1690	149	40	,	,	PUNCT
ap-1690	149	41	respectively	respectively	ADV
ap-1690	149	42	,	,	PUNCT
ap-1690	149	43	and	and	CCONJ
ap-1690	149	44	the	the	DET
ap-1690	149	45	subspace	subspace	NOUN
ap-1690	149	46	of	of	ADP
ap-1690	149	47	the	the	DET
ap-1690	149	48	test	test	NOUN
ap-1690	149	49	functions	function	NOUN
ap-1690	149	50	is	be	AUX
ap-1690	149	51	denoted	denote	VERB
ap-1690	149	52	by	by	ADP
ap-1690	149	53	x∆	x∆	PROPN
ap-1690	149	54	⊂w∆.	⊂w∆.	NOUN
ap-1690	149	55	let	let	VERB
ap-1690	149	56	us	we	PRON
ap-1690	149	57	mention	mention	VERB
ap-1690	149	58	that	that	SCONJ
ap-1690	149	59	the	the	DET
ap-1690	149	60	finite	finite	PROPN
ap-1690	149	61	element	element	NOUN
ap-1690	149	62	spaces	space	NOUN
ap-1690	149	63	should	should	AUX
ap-1690	149	64	satisfy	satisfy	VERB
ap-1690	149	65	the	the	DET
ap-1690	149	66	babuška	babuška	NOUN
ap-1690	149	67	–	–	PUNCT
ap-1690	149	68	brezzi	brezzi	NOUN
ap-1690	149	69	(	(	PUNCT
ap-1690	149	70	bb	bb	NOUN
ap-1690	149	71	)	)	PUNCT
ap-1690	149	72	condition	condition	NOUN
ap-1690	149	73	(	(	PUNCT
ap-1690	149	74	see	see	VERB
ap-1690	150	1	e.g.	e.g.	ADV
ap-1690	150	2	[	[	X
ap-1690	150	3	25	25	NUM
ap-1690	150	4	]	]	PUNCT
ap-1690	150	5	,	,	PUNCT
ap-1690	151	1	[	[	X
ap-1690	151	2	26	26	NUM
ap-1690	151	3	]	]	PUNCT
ap-1690	151	4	or	or	CCONJ
ap-1690	151	5	[	[	X
ap-1690	151	6	29	29	NUM
ap-1690	151	7	]	]	NUM
ap-1690	151	8	)	)	PUNCT
ap-1690	151	9	.	.	PUNCT
ap-1690	152	1	in	in	ADP
ap-1690	152	2	practical	practical	ADJ
ap-1690	152	3	computations	computation	NOUN
ap-1690	152	4	we	we	PRON
ap-1690	152	5	assume	assume	VERB
ap-1690	152	6	that	that	SCONJ
ap-1690	152	7	the	the	DET
ap-1690	152	8	domain	domain	NOUN
ap-1690	152	9	ω	ω	X
ap-1690	152	10	=	=	SYM
ap-1690	152	11	ωn+1	ωn+1	PROPN
ap-1690	152	12	is	be	AUX
ap-1690	152	13	a	a	DET
ap-1690	152	14	polygonal	polygonal	ADJ
ap-1690	152	15	approximation	approximation	NOUN
ap-1690	152	16	of	of	ADP
ap-1690	152	17	the	the	DET
ap-1690	152	18	region	region	NOUN
ap-1690	152	19	occupied	occupy	VERB
ap-1690	152	20	by	by	ADP
ap-1690	152	21	the	the	DET
ap-1690	152	22	fluid	fluid	NOUN
ap-1690	152	23	at	at	ADP
ap-1690	152	24	time	time	NOUN
ap-1690	152	25	tn+1	tn+1	NOUN
ap-1690	152	26	and	and	CCONJ
ap-1690	152	27	the	the	DET
ap-1690	152	28	finite	finite	PROPN
ap-1690	152	29	element	element	NOUN
ap-1690	152	30	spaces	space	NOUN
ap-1690	152	31	are	be	AUX
ap-1690	152	32	defined	define	VERB
ap-1690	152	33	over	over	ADP
ap-1690	152	34	a	a	DET
ap-1690	152	35	triangulation	triangulation	NOUN
ap-1690	152	36	t∆	t∆	NOUN
ap-1690	152	37	of	of	ADP
ap-1690	152	38	domain	domain	NOUN
ap-1690	152	39	ωt	ωt	PROPN
ap-1690	152	40	as	as	ADP
ap-1690	152	41	piecewise	piecewise	NOUN
ap-1690	152	42	polynomial	polynomial	ADJ
ap-1690	152	43	functions	function	NOUN
ap-1690	152	44	.	.	PUNCT
ap-1690	153	1	in	in	ADP
ap-1690	153	2	our	our	PRON
ap-1690	153	3	computations	computation	NOUN
ap-1690	153	4	,	,	PUNCT
ap-1690	153	5	the	the	DET
ap-1690	153	6	wellknown	wellknown	ADJ
ap-1690	153	7	taylor	taylor	PROPN
ap-1690	153	8	-	-	PUNCT
ap-1690	153	9	hood	hood	NOUN
ap-1690	153	10	p2	p2	NOUN
ap-1690	153	11	/	/	SYM
ap-1690	153	12	p1	p1	NOUN
ap-1690	153	13	conforming	conforming	NOUN
ap-1690	153	14	finite	finite	PROPN
ap-1690	153	15	element	element	NOUN
ap-1690	153	16	spaces	space	NOUN
ap-1690	153	17	are	be	AUX
ap-1690	153	18	used	use	VERB
ap-1690	153	19	for	for	ADP
ap-1690	153	20	the	the	DET
ap-1690	153	21	velocity	velocity	NOUN
ap-1690	153	22	/	/	SYM
ap-1690	153	23	pressure	pressure	NOUN
ap-1690	153	24	approximation	approximation	NOUN
ap-1690	153	25	.	.	PUNCT
ap-1690	154	1	this	this	PRON
ap-1690	154	2	means	mean	VERB
ap-1690	154	3	that	that	SCONJ
ap-1690	154	4	the	the	DET
ap-1690	154	5	pressure	pressure	NOUN
ap-1690	154	6	approximation	approximation	NOUN
ap-1690	154	7	p	p	X
ap-1690	154	8	=	=	NOUN
ap-1690	154	9	p∆	p∆	PROPN
ap-1690	154	10	and	and	CCONJ
ap-1690	154	11	the	the	DET
ap-1690	154	12	velocity	velocity	NOUN
ap-1690	154	13	approximation	approximation	NOUN
ap-1690	154	14	u	u	NOUN
ap-1690	154	15	=	=	PUNCT
ap-1690	154	16	u∆	u∆	NOUN
ap-1690	154	17	are	be	AUX
ap-1690	154	18	linear	linear	ADJ
ap-1690	154	19	and	and	CCONJ
ap-1690	154	20	quadratic	quadratic	ADJ
ap-1690	154	21	vector	vector	NOUN
ap-1690	154	22	-	-	PUNCT
ap-1690	154	23	valued	value	VERB
ap-1690	154	24	functions	function	NOUN
ap-1690	154	25	on	on	ADP
ap-1690	154	26	each	each	DET
ap-1690	154	27	element	element	NOUN
ap-1690	154	28	k	k	PROPN
ap-1690	154	29	∈	∈	PROPN
ap-1690	154	30	t∆	t∆	PROPN
ap-1690	154	31	,	,	PUNCT
ap-1690	154	32	respectively	respectively	ADV
ap-1690	154	33	.	.	PUNCT
ap-1690	155	1	the	the	DET
ap-1690	155	2	stabilized	stabilize	VERB
ap-1690	155	3	discrete	discrete	ADJ
ap-1690	155	4	problem	problem	NOUN
ap-1690	155	5	at	at	ADP
ap-1690	155	6	the	the	DET
ap-1690	155	7	time	time	NOUN
ap-1690	155	8	instant	instant	NOUN
ap-1690	155	9	t	t	PROPN
ap-1690	155	10	=	=	SYM
ap-1690	155	11	tn+1	tn+1	NOUN
ap-1690	155	12	reads	read	VERB
ap-1690	155	13	:	:	PUNCT
ap-1690	155	14	find	find	VERB
ap-1690	155	15	u	u	PRON
ap-1690	155	16	=	=	SYM
ap-1690	155	17	(	(	PUNCT
ap-1690	155	18	u	u	NOUN
ap-1690	155	19	,	,	PUNCT
ap-1690	155	20	p	p	NOUN
ap-1690	155	21	)	)	PUNCT
ap-1690	155	22	∈	∈	PROPN
ap-1690	155	23	w∆	w∆	VERB
ap-1690	155	24	×	×	PROPN
ap-1690	155	25	q∆	q∆	PROPN
ap-1690	155	26	,	,	PUNCT
ap-1690	155	27	p	p	X
ap-1690	155	28	:	:	PUNCT
ap-1690	155	29	=	=	SYM
ap-1690	155	30	pn+1	pn+1	PROPN
ap-1690	155	31	,	,	PUNCT
ap-1690	155	32	u	u	NOUN
ap-1690	155	33	:	:	PUNCT
ap-1690	155	34	=	=	SYM
ap-1690	155	35	un+1	un+1	ADJ
ap-1690	155	36	,	,	PUNCT
ap-1690	155	37	such	such	ADJ
ap-1690	155	38	that	that	SCONJ
ap-1690	155	39	u	u	PROPN
ap-1690	155	40	satisfies	satisfy	VERB
ap-1690	155	41	approximately	approximately	ADV
ap-1690	155	42	the	the	DET
ap-1690	155	43	conditions	condition	NOUN
ap-1690	155	44	(	(	PUNCT
ap-1690	155	45	11	11	NUM
ap-1690	155	46	a	a	DET
ap-1690	155	47	-	-	PUNCT
ap-1690	155	48	b	b	NOUN
ap-1690	155	49	)	)	PUNCT
ap-1690	155	50	and	and	CCONJ
ap-1690	155	51	a(u	a(u	PROPN
ap-1690	155	52	;	;	PUNCT
ap-1690	155	53	u	u	NOUN
ap-1690	155	54	,	,	PUNCT
ap-1690	155	55	v	v	NOUN
ap-1690	155	56	)	)	PUNCT
ap-1690	156	1	+	+	CCONJ
ap-1690	156	2	l(u	l(u	PROPN
ap-1690	156	3	;	;	PUNCT
ap-1690	156	4	u	u	NOUN
ap-1690	156	5	,	,	PUNCT
ap-1690	156	6	v	v	NOUN
ap-1690	156	7	)	)	PUNCT
ap-1690	157	1	+	+	CCONJ
ap-1690	157	2	p(u	p(u	ADJ
ap-1690	157	3	,	,	PUNCT
ap-1690	157	4	v	v	NOUN
ap-1690	157	5	)	)	PUNCT
ap-1690	157	6	=	=	PUNCT
ap-1690	157	7	f(v	f(v	PRON
ap-1690	157	8	)	)	PUNCT
ap-1690	158	1	+	+	CCONJ
ap-1690	158	2	f(u	f(u	ADJ
ap-1690	158	3	;	;	PUNCT
ap-1690	158	4	v	v	NOUN
ap-1690	158	5	)	)	PUNCT
ap-1690	158	6	,	,	PUNCT
ap-1690	158	7	(	(	PUNCT
ap-1690	158	8	12	12	NUM
ap-1690	158	9	)	)	PUNCT
ap-1690	158	10	holds	hold	VERB
ap-1690	158	11	for	for	ADP
ap-1690	158	12	all	all	PRON
ap-1690	158	13	v	v	NOUN
ap-1690	158	14	=	=	SYM
ap-1690	158	15	(	(	PUNCT
ap-1690	158	16	v	v	NOUN
ap-1690	158	17	,	,	PUNCT
ap-1690	158	18	q	q	NOUN
ap-1690	158	19	)	)	PUNCT
ap-1690	158	20	∈	∈	PROPN
ap-1690	159	1	x∆	x∆	PROPN
ap-1690	159	2	×	×	NOUN
ap-1690	159	3	q∆.	q∆.	PROPN
ap-1690	159	4	here	here	ADV
ap-1690	159	5	,	,	PUNCT
ap-1690	159	6	the	the	DET
ap-1690	159	7	galerkin	galerkin	ADJ
ap-1690	159	8	terms	term	NOUN
ap-1690	159	9	are	be	AUX
ap-1690	159	10	defined	define	VERB
ap-1690	159	11	for	for	ADP
ap-1690	159	12	any	any	DET
ap-1690	159	13	u	u	NOUN
ap-1690	159	14	=	=	PUNCT
ap-1690	159	15	(	(	PUNCT
ap-1690	159	16	u	u	NOUN
ap-1690	159	17	,	,	PUNCT
ap-1690	159	18	p	p	NOUN
ap-1690	159	19	)	)	PUNCT
ap-1690	159	20	,	,	PUNCT
ap-1690	159	21	v	v	NOUN
ap-1690	159	22	=	=	SYM
ap-1690	159	23	(	(	PUNCT
ap-1690	159	24	v	v	NOUN
ap-1690	159	25	,	,	PUNCT
ap-1690	159	26	q	q	NOUN
ap-1690	159	27	)	)	PUNCT
ap-1690	159	28	,	,	PUNCT
ap-1690	159	29	u∗	u∗	PROPN
ap-1690	159	30	=	=	SYM
ap-1690	159	31	(	(	PUNCT
ap-1690	159	32	u∗	u∗	PROPN
ap-1690	159	33	,	,	PUNCT
ap-1690	159	34	p∗	p∗	PROPN
ap-1690	159	35	)	)	PUNCT
ap-1690	159	36	by	by	ADP
ap-1690	159	37	a(u∗;u	a(u∗;u	NOUN
ap-1690	159	38	,	,	PUNCT
ap-1690	159	39	v	v	NOUN
ap-1690	159	40	)	)	PUNCT
ap-1690	159	41	=	=	SYM
ap-1690	159	42	3	3	NUM
ap-1690	159	43	2∆t	2∆t	NUM
ap-1690	159	44	(	(	PUNCT
ap-1690	159	45	u	u	NOUN
ap-1690	159	46	,	,	PUNCT
ap-1690	159	47	v)ω	v)ω	ADJ
ap-1690	159	48	+	+	CCONJ
ap-1690	159	49	1	1	NUM
ap-1690	159	50	re	re	X
ap-1690	159	51	(	(	PUNCT
ap-1690	159	52	∇u,∇v)ω	∇u,∇v)ω	PROPN
ap-1690	159	53	+	+	CCONJ
ap-1690	159	54	(	(	PUNCT
ap-1690	159	55	w	w	PROPN
ap-1690	159	56	·	·	PUNCT
ap-1690	159	57	∇u	∇u	ADJ
ap-1690	159	58	,	,	PUNCT
ap-1690	159	59	v)ω	v)ω	ADJ
ap-1690	159	60	−	−	ADP
ap-1690	159	61	(	(	PUNCT
ap-1690	159	62	p,∇	p,∇	NOUN
ap-1690	159	63	·	·	PUNCT
ap-1690	159	64	v)ω	v)ω	PUNCT
ap-1690	159	65	+	+	CCONJ
ap-1690	159	66	(	(	PUNCT
ap-1690	159	67	∇	∇	X
ap-1690	159	68	·	·	PUNCT
ap-1690	159	69	u	u	NOUN
ap-1690	159	70	,	,	PUNCT
ap-1690	159	71	q)ω	q)ω	ADJ
ap-1690	159	72	,	,	PUNCT
ap-1690	159	73	(	(	PUNCT
ap-1690	159	74	13	13	NUM
ap-1690	159	75	)	)	PUNCT
ap-1690	159	76	f(u	f(u	PROPN
ap-1690	159	77	,	,	PUNCT
ap-1690	159	78	v	v	NOUN
ap-1690	159	79	)	)	PUNCT
ap-1690	159	80	=	=	SYM
ap-1690	159	81	1	1	NUM
ap-1690	159	82	2∆t	2∆t	NUM
ap-1690	159	83	(	(	PUNCT
ap-1690	159	84	4ûn	4ûn	NUM
ap-1690	159	85	−	−	NOUN
ap-1690	159	86	ûn−1,v)ω	ûn−1,v)ω	NOUN
ap-1690	159	87	,	,	PUNCT
ap-1690	159	88	where	where	SCONJ
ap-1690	159	89	w	w	NOUN
ap-1690	159	90	=	=	X
ap-1690	159	91	u∗	u∗	PROPN
ap-1690	159	92	−	−	NOUN
ap-1690	159	93	wn+1	wn+1	NOUN
ap-1690	159	94	,	,	PUNCT
ap-1690	159	95	and	and	CCONJ
ap-1690	159	96	the	the	DET
ap-1690	159	97	scalar	scalar	ADJ
ap-1690	159	98	product	product	NOUN
ap-1690	159	99	in	in	ADP
ap-1690	159	100	l2(ω	l2(ω	PROPN
ap-1690	159	101	)	)	PUNCT
ap-1690	159	102	is	be	AUX
ap-1690	159	103	denoted	denote	VERB
ap-1690	159	104	by	by	ADP
ap-1690	159	105	(	(	PUNCT
ap-1690	159	106	·	·	PUNCT
ap-1690	159	107	,	,	PUNCT
ap-1690	159	108	·	·	PUNCT
ap-1690	159	109	)	)	PUNCT
ap-1690	159	110	ω	ω	X
ap-1690	159	111	.	.	PUNCT
ap-1690	160	1	further	far	ADV
ap-1690	160	2	,	,	PUNCT
ap-1690	160	3	the	the	DET
ap-1690	160	4	supg	supg	PROPN
ap-1690	160	5	/	/	SYM
ap-1690	160	6	pspg	pspg	PROPN
ap-1690	160	7	stabilization	stabilization	NOUN
ap-1690	160	8	terms	term	NOUN
ap-1690	160	9	are	be	AUX
ap-1690	160	10	used	use	VERB
ap-1690	160	11	in	in	ADP
ap-1690	160	12	order	order	NOUN
ap-1690	160	13	to	to	PART
ap-1690	160	14	obtain	obtain	VERB
ap-1690	160	15	a	a	DET
ap-1690	160	16	stable	stable	ADJ
ap-1690	160	17	solution	solution	NOUN
ap-1690	160	18	also	also	ADV
ap-1690	160	19	for	for	ADP
ap-1690	160	20	large	large	ADJ
ap-1690	160	21	reynolds	reynold	NOUN
ap-1690	160	22	number	number	NOUN
ap-1690	160	23	values	value	NOUN
ap-1690	160	24	,	,	PUNCT
ap-1690	160	25	l(u∗;u	l(u∗;u	ADJ
ap-1690	160	26	,	,	PUNCT
ap-1690	160	27	v	v	NOUN
ap-1690	160	28	)	)	PUNCT
ap-1690	160	29	=	=	PUNCT
ap-1690	160	30	∑	∑	PUNCT
ap-1690	160	31	k∈t∆	k∈t∆	PROPN
ap-1690	160	32	δk	δk	PROPN
ap-1690	160	33	(	(	PUNCT
ap-1690	160	34	3u	3u	NUM
ap-1690	160	35	2τ	2τ	NUM
ap-1690	160	36	−	−	PROPN
ap-1690	160	37	1	1	NUM
ap-1690	160	38	re	re	NOUN
ap-1690	160	39	4u	4u	NOUN
ap-1690	160	40	+	+	CCONJ
ap-1690	160	41	(	(	PUNCT
ap-1690	160	42	w	w	PROPN
ap-1690	160	43	·	·	PUNCT
ap-1690	160	44	∇)u	∇)u	PROPN
ap-1690	161	1	+	+	ADJ
ap-1690	161	2	∇p	∇p	ADJ
ap-1690	161	3	,	,	PUNCT
ap-1690	161	4	ψ(v	ψ(v	PROPN
ap-1690	161	5	)	)	PUNCT
ap-1690	161	6	)	)	PUNCT
ap-1690	162	1	k	k	X
ap-1690	162	2	,	,	PUNCT
ap-1690	162	3	f(u∗;v	f(u∗;v	X
ap-1690	162	4	)	)	PUNCT
ap-1690	163	1	=	=	PUNCT
ap-1690	163	2	∑	∑	PUNCT
ap-1690	163	3	k∈t∆	k∈t∆	PROPN
ap-1690	163	4	δk	δk	INTJ
ap-1690	163	5	(	(	PUNCT
ap-1690	163	6	4ûn	4ûn	NUM
ap-1690	163	7	−	−	NOUN
ap-1690	163	8	ûn−1	ûn−1	NUM
ap-1690	163	9	2τ	2τ	NOUN
ap-1690	163	10	,	,	PUNCT
ap-1690	163	11	ψ(v	ψ(v	PROPN
ap-1690	163	12	)	)	PUNCT
ap-1690	163	13	)	)	PUNCT
ap-1690	164	1	k	k	X
ap-1690	164	2	,	,	PUNCT
ap-1690	164	3	where	where	SCONJ
ap-1690	164	4	ψ(v	ψ(v	PROPN
ap-1690	164	5	)	)	PUNCT
ap-1690	164	6	=	=	SYM
ap-1690	164	7	(	(	PUNCT
ap-1690	164	8	w	w	PROPN
ap-1690	164	9	·	·	PUNCT
ap-1690	164	10	∇)v	∇)v	PROPN
ap-1690	165	1	+	+	PROPN
ap-1690	165	2	∇q	∇q	PROPN
ap-1690	165	3	,	,	PUNCT
ap-1690	165	4	w	w	NOUN
ap-1690	165	5	stands	stand	VERB
ap-1690	165	6	for	for	ADP
ap-1690	165	7	the	the	DET
ap-1690	165	8	transport	transport	NOUN
ap-1690	165	9	velocity	velocity	NOUN
ap-1690	165	10	at	at	ADP
ap-1690	165	11	time	time	NOUN
ap-1690	165	12	instant	instant	ADJ
ap-1690	165	13	tn+1	tn+1	NOUN
ap-1690	165	14	,	,	PUNCT
ap-1690	165	15	i.e.	i.e.	X
ap-1690	165	16	w	w	NOUN
ap-1690	165	17	=	=	SYM
ap-1690	165	18	v∗−wn+1	v∗−wn+1	ADJ
ap-1690	165	19	,	,	PUNCT
ap-1690	165	20	and	and	CCONJ
ap-1690	165	21	(	(	PUNCT
ap-1690	165	22	·	·	PUNCT
ap-1690	165	23	,	,	PUNCT
ap-1690	165	24	·	·	PUNCT
ap-1690	165	25	)	)	PUNCT
ap-1690	166	1	k	k	PROPN
ap-1690	166	2	denotes	denote	VERB
ap-1690	166	3	the	the	DET
ap-1690	166	4	scalar	scalar	ADJ
ap-1690	166	5	product	product	NOUN
ap-1690	166	6	in	in	ADP
ap-1690	166	7	l2(k	l2(k	PROPN
ap-1690	166	8	)	)	PUNCT
ap-1690	166	9	.	.	PUNCT
ap-1690	167	1	the	the	DET
ap-1690	167	2	term	term	NOUN
ap-1690	167	3	p(u	p(u	PROPN
ap-1690	167	4	,	,	PUNCT
ap-1690	167	5	v	v	NOUN
ap-1690	167	6	)	)	PUNCT
ap-1690	167	7	is	be	AUX
ap-1690	167	8	the	the	DET
ap-1690	167	9	additional	additional	ADJ
ap-1690	167	10	grad	grad	NOUN
ap-1690	167	11	-	-	PUNCT
ap-1690	167	12	div	div	NOUN
ap-1690	167	13	stabilization	stabilization	NOUN
ap-1690	167	14	defined	define	VERB
ap-1690	167	15	by	by	ADP
ap-1690	167	16	p(u	p(u	PROPN
ap-1690	167	17	,	,	PUNCT
ap-1690	167	18	v	v	NOUN
ap-1690	167	19	)	)	PUNCT
ap-1690	167	20	=	=	SYM
ap-1690	167	21	∑	∑	PUNCT
ap-1690	167	22	k∈t∆	k∈t∆	PROPN
ap-1690	167	23	τk(∇	τk(∇	PROPN
ap-1690	167	24	·	·	PUNCT
ap-1690	168	1	u,∇	u,∇	PUNCT
ap-1690	168	2	·	·	PUNCT
ap-1690	168	3	v)k	v)k	NOUN
ap-1690	168	4	.	.	PUNCT
ap-1690	169	1	here	here	ADV
ap-1690	169	2	,	,	PUNCT
ap-1690	169	3	the	the	DET
ap-1690	169	4	choice	choice	NOUN
ap-1690	169	5	of	of	ADP
ap-1690	169	6	the	the	DET
ap-1690	169	7	parameters	parameter	NOUN
ap-1690	169	8	δk	δk	X
ap-1690	169	9	and	and	CCONJ
ap-1690	169	10	τk	τk	ADV
ap-1690	169	11	is	be	AUX
ap-1690	169	12	carried	carry	VERB
ap-1690	169	13	out	out	ADP
ap-1690	169	14	according	accord	VERB
ap-1690	169	15	to	to	ADP
ap-1690	169	16	[	[	X
ap-1690	169	17	13	13	NUM
ap-1690	169	18	]	]	PUNCT
ap-1690	169	19	or	or	CCONJ
ap-1690	169	20	[	[	X
ap-1690	169	21	27	27	NUM
ap-1690	169	22	]	]	PUNCT
ap-1690	169	23	on	on	ADP
ap-1690	169	24	the	the	DET
ap-1690	169	25	basis	basis	NOUN
ap-1690	169	26	of	of	ADP
ap-1690	169	27	the	the	DET
ap-1690	169	28	local	local	ADJ
ap-1690	169	29	element	element	NOUN
ap-1690	169	30	length	length	NOUN
ap-1690	169	31	hk	hk	PROPN
ap-1690	170	1	δk	δk	X
ap-1690	170	2	=	=	SYM
ap-1690	170	3	δ∗hk	δ∗hk	NOUN
ap-1690	170	4	2	2	NUM
ap-1690	170	5	,	,	PUNCT
ap-1690	170	6	and	and	CCONJ
ap-1690	170	7	τk	τk	ADP
ap-1690	170	8	=	=	ADJ
ap-1690	170	9	1	1	X
ap-1690	170	10	.	.	PUNCT
ap-1690	171	1	furthermore	furthermore	ADV
ap-1690	171	2	,	,	PUNCT
ap-1690	171	3	problem	problem	NOUN
ap-1690	171	4	(	(	PUNCT
ap-1690	171	5	12	12	NUM
ap-1690	171	6	)	)	PUNCT
ap-1690	171	7	is	be	AUX
ap-1690	171	8	solved	solve	VERB
ap-1690	171	9	with	with	ADP
ap-1690	171	10	the	the	DET
ap-1690	171	11	aid	aid	NOUN
ap-1690	171	12	of	of	ADP
ap-1690	171	13	oseen	oseen	PROPN
ap-1690	171	14	linearizations	linearization	NOUN
ap-1690	171	15	,	,	PUNCT
ap-1690	171	16	and	and	CCONJ
ap-1690	171	17	the	the	DET
ap-1690	171	18	arising	arise	VERB
ap-1690	171	19	large	large	ADJ
ap-1690	171	20	system	system	NOUN
ap-1690	171	21	of	of	ADP
ap-1690	171	22	linear	linear	PROPN
ap-1690	171	23	equations	equation	NOUN
ap-1690	171	24	is	be	AUX
ap-1690	171	25	solved	solve	VERB
ap-1690	171	26	with	with	ADP
ap-1690	171	27	the	the	DET
ap-1690	171	28	aid	aid	NOUN
ap-1690	171	29	of	of	ADP
ap-1690	171	30	a	a	DET
ap-1690	171	31	direct	direct	ADJ
ap-1690	171	32	solver	solver	NOUN
ap-1690	171	33	,	,	PUNCT
ap-1690	171	34	e.g.	e.g.	ADV
ap-1690	171	35	umfpack	umfpack	ADJ
ap-1690	171	36	(	(	PUNCT
ap-1690	171	37	cf	cf	NOUN
ap-1690	171	38	.	.	PUNCT
ap-1690	172	1	[	[	X
ap-1690	172	2	6	6	NUM
ap-1690	172	3	]	]	NUM
ap-1690	172	4	)	)	PUNCT
ap-1690	172	5	,	,	PUNCT
ap-1690	172	6	where	where	SCONJ
ap-1690	172	7	different	different	ADJ
ap-1690	172	8	stabilization	stabilization	NOUN
ap-1690	172	9	procedures	procedure	NOUN
ap-1690	172	10	can	can	AUX
ap-1690	172	11	easily	easily	ADV
ap-1690	172	12	be	be	AUX
ap-1690	172	13	applied	apply	VERB
ap-1690	172	14	,	,	PUNCT
ap-1690	172	15	even	even	ADV
ap-1690	172	16	when	when	SCONJ
ap-1690	172	17	anisotropically	anisotropically	ADV
ap-1690	172	18	refined	refined	ADJ
ap-1690	172	19	grids	grid	NOUN
ap-1690	172	20	are	be	AUX
ap-1690	172	21	employed	employ	VERB
ap-1690	172	22	.	.	PUNCT
ap-1690	173	1	the	the	DET
ap-1690	173	2	motion	motion	NOUN
ap-1690	173	3	equations	equation	NOUN
ap-1690	173	4	describing	describe	VERB
ap-1690	173	5	the	the	DET
ap-1690	173	6	motion	motion	NOUN
ap-1690	173	7	of	of	ADP
ap-1690	173	8	the	the	DET
ap-1690	173	9	flexibly	flexibly	ADV
ap-1690	173	10	supported	support	VERB
ap-1690	173	11	airfoil	airfoil	NOUN
ap-1690	173	12	are	be	AUX
ap-1690	173	13	discretized	discretize	VERB
ap-1690	173	14	with	with	ADP
ap-1690	173	15	the	the	DET
ap-1690	173	16	aid	aid	NOUN
ap-1690	173	17	of	of	ADP
ap-1690	173	18	the	the	DET
ap-1690	173	19	4th	4th	ADJ
ap-1690	173	20	order	order	NOUN
ap-1690	173	21	runge	runge	NOUN
ap-1690	173	22	-	-	PUNCT
ap-1690	173	23	kutta	kutta	NOUN
ap-1690	173	24	method	method	NOUN
ap-1690	173	25	,	,	PUNCT
ap-1690	173	26	and	and	CCONJ
ap-1690	173	27	the	the	DET
ap-1690	173	28	coupled	couple	VERB
ap-1690	173	29	fluid	fluid	NOUN
ap-1690	173	30	-	-	PUNCT
ap-1690	173	31	structure	structure	NOUN
ap-1690	173	32	model	model	NOUN
ap-1690	173	33	is	be	AUX
ap-1690	173	34	solved	solve	VERB
ap-1690	173	35	with	with	ADP
ap-1690	173	36	the	the	DET
ap-1690	173	37	aid	aid	NOUN
ap-1690	173	38	of	of	ADP
ap-1690	173	39	a	a	DET
ap-1690	173	40	partitioned	partition	VERB
ap-1690	173	41	strongly	strongly	ADV
ap-1690	173	42	coupled	couple	VERB
ap-1690	173	43	scheme	scheme	NOUN
ap-1690	173	44	.	.	PUNCT
ap-1690	174	1	this	this	PRON
ap-1690	174	2	means	mean	VERB
ap-1690	174	3	that	that	SCONJ
ap-1690	174	4	for	for	ADP
ap-1690	174	5	every	every	DET
ap-1690	174	6	time	time	NOUN
ap-1690	174	7	step	step	VERB
ap-1690	174	8	the	the	DET
ap-1690	174	9	fluid	fluid	ADJ
ap-1690	174	10	flow	flow	NOUN
ap-1690	174	11	and	and	CCONJ
ap-1690	174	12	the	the	DET
ap-1690	174	13	structure	structure	NOUN
ap-1690	174	14	motion	motion	NOUN
ap-1690	174	15	are	be	AUX
ap-1690	174	16	approximated	approximate	VERB
ap-1690	174	17	repeatedly	repeatedly	ADV
ap-1690	174	18	in	in	ADP
ap-1690	174	19	order	order	NOUN
ap-1690	174	20	to	to	PART
ap-1690	174	21	converge	converge	VERB
ap-1690	174	22	to	to	ADP
ap-1690	174	23	a	a	DET
ap-1690	174	24	solution	solution	NOUN
ap-1690	174	25	which	which	PRON
ap-1690	174	26	will	will	AUX
ap-1690	174	27	satisfy	satisfy	VERB
ap-1690	174	28	all	all	DET
ap-1690	174	29	interface	interface	NOUN
ap-1690	174	30	conditions	condition	NOUN
ap-1690	174	31	.	.	PUNCT
ap-1690	175	1	5	5	NUM
ap-1690	175	2	numerical	numerical	ADJ
ap-1690	175	3	results	result	NOUN
ap-1690	175	4	numerical	numerical	ADJ
ap-1690	175	5	flow	flow	NOUN
ap-1690	175	6	induced	induce	VERB
ap-1690	175	7	vibration	vibration	NOUN
ap-1690	175	8	results	result	NOUN
ap-1690	175	9	for	for	ADP
ap-1690	175	10	both	both	CCONJ
ap-1690	175	11	fvm	fvm	ADJ
ap-1690	175	12	and	and	CCONJ
ap-1690	175	13	fem	fem	NOUN
ap-1690	175	14	are	be	AUX
ap-1690	175	15	presented	present	VERB
ap-1690	175	16	for	for	ADP
ap-1690	175	17	the	the	DET
ap-1690	175	18	naca	naca	PROPN
ap-1690	175	19	0012	0012	NUM
ap-1690	175	20	profile	profile	NOUN
ap-1690	175	21	,	,	PUNCT
ap-1690	175	22	taking	take	VERB
ap-1690	175	23	into	into	ADP
ap-1690	175	24	account	account	NOUN
ap-1690	175	25	the	the	DET
ap-1690	175	26	following	follow	VERB
ap-1690	175	27	parameters	parameter	NOUN
ap-1690	175	28	of	of	ADP
ap-1690	175	29	the	the	DET
ap-1690	175	30	flowing	flow	VERB
ap-1690	175	31	air	air	NOUN
ap-1690	175	32	and	and	CCONJ
ap-1690	175	33	the	the	DET
ap-1690	175	34	profile	profile	NOUN
ap-1690	175	35	:	:	PUNCT
ap-1690	176	1	m	m	VERB
ap-1690	176	2	=	=	SYM
ap-1690	176	3	8.66×	8.66×	NUM
ap-1690	176	4	10−2	10−2	NUM
ap-1690	176	5	kg	kg	NOUN
ap-1690	176	6	,	,	PUNCT
ap-1690	176	7	sϕ	sϕ	NOUN
ap-1690	176	8	=	=	PUNCT
ap-1690	176	9	−7.797	−7.797	PROPN
ap-1690	176	10	×	×	PROPN
ap-1690	176	11	10−4	10−4	NUM
ap-1690	176	12	kgm	kgm	PROPN
ap-1690	176	13	,	,	PUNCT
ap-1690	176	14	iϕ	iϕ	NOUN
ap-1690	176	15	=	=	SYM
ap-1690	176	16	4.87	4.87	NUM
ap-1690	176	17	×	×	NOUN
ap-1690	176	18	10−4	10−4	NUM
ap-1690	176	19	kgm2	kgm2	NOUN
ap-1690	176	20	,	,	PUNCT
ap-1690	176	21	kh	kh	PROPN
ap-1690	176	22	=	=	NOUN
ap-1690	176	23	105.1n	105.1n	NUM
ap-1690	176	24	/	/	SYM
ap-1690	176	25	m	m	PROPN
ap-1690	176	26	,	,	PUNCT
ap-1690	176	27	kϕ	kϕ	X
ap-1690	176	28	=	=	SYM
ap-1690	176	29	3.696nm	3.696nm	NUM
ap-1690	176	30	/	/	SYM
ap-1690	176	31	rad	rad	PROPN
ap-1690	176	32	,	,	PUNCT
ap-1690	176	33	d	d	NOUN
ap-1690	176	34	=	=	PUNCT
ap-1690	176	35	0.05	0.05	NUM
ap-1690	176	36	m	m	NOUN
ap-1690	176	37	,	,	PUNCT
ap-1690	176	38	c	c	NOUN
ap-1690	176	39	=	=	PUNCT
ap-1690	176	40	0.3	0.3	NUM
ap-1690	176	41	m	m	PROPN
ap-1690	176	42	,	,	PUNCT
ap-1690	176	43	ρ	ρ	PROPN
ap-1690	176	44	=	=	SYM
ap-1690	176	45	1.225	1.225	NUM
ap-1690	176	46	kg	kg	NOUN
ap-1690	176	47	/	/	SYM
ap-1690	176	48	m3	m3	PROPN
ap-1690	176	49	,	,	PUNCT
ap-1690	176	50	ν	ν	X
ap-1690	176	51	=	=	SYM
ap-1690	176	52	1.5	1.5	NUM
ap-1690	176	53	×	×	NOUN
ap-1690	176	54	10−5	10−5	NUM
ap-1690	176	55	m	m	NOUN
ap-1690	176	56	/	/	SYM
ap-1690	176	57	s2	s2	PROPN
ap-1690	176	58	.	.	PUNCT
ap-1690	177	1	the	the	DET
ap-1690	177	2	elastic	elastic	ADJ
ap-1690	177	3	axis	axis	NOUN
ap-1690	177	4	ea	ea	NOUN
ap-1690	177	5	is	be	AUX
ap-1690	177	6	located	locate	VERB
ap-1690	177	7	at	at	ADP
ap-1690	177	8	40	40	NUM
ap-1690	177	9	%	%	NOUN
ap-1690	177	10	of	of	ADP
ap-1690	177	11	the	the	DET
ap-1690	177	12	profile	profile	NOUN
ap-1690	177	13	.	.	PUNCT
ap-1690	178	1	figures	figure	NOUN
ap-1690	178	2	3–6	3–6	NUM
ap-1690	178	3	compare	compare	VERB
ap-1690	178	4	the	the	DET
ap-1690	178	5	profile	profile	NOUN
ap-1690	178	6	motion	motion	NOUN
ap-1690	178	7	numerically	numerically	ADV
ap-1690	178	8	simulated	simulate	VERB
ap-1690	178	9	by	by	ADP
ap-1690	178	10	fvm	fvm	NOUN
ap-1690	178	11	and	and	CCONJ
ap-1690	178	12	fem	fem	NOUN
ap-1690	178	13	.	.	PUNCT
ap-1690	179	1	the	the	DET
ap-1690	179	2	angle	angle	NOUN
ap-1690	179	3	of	of	ADP
ap-1690	179	4	rotation	rotation	PROPN
ap-1690	179	5	ϕ	ϕ	PROPN
ap-1690	180	1	[	[	X
ap-1690	180	2	°	°	X
ap-1690	180	3	]	]	X
ap-1690	180	4	and	and	CCONJ
ap-1690	180	5	the	the	DET
ap-1690	180	6	vertical	vertical	ADJ
ap-1690	180	7	displacement	displacement	NOUN
ap-1690	180	8	h	h	NOUN
ap-1690	181	1	[	[	X
ap-1690	181	2	mm	mm	X
ap-1690	181	3	]	]	X
ap-1690	181	4	of	of	ADP
ap-1690	181	5	the	the	DET
ap-1690	181	6	profile	profile	NOUN
ap-1690	181	7	in	in	ADP
ap-1690	181	8	dependence	dependence	NOUN
ap-1690	181	9	on	on	ADP
ap-1690	181	10	time	time	NOUN
ap-1690	181	11	t	t	PROPN
ap-1690	181	12	[	[	X
ap-1690	181	13	s	s	X
ap-1690	181	14	]	]	X
ap-1690	181	15	are	be	AUX
ap-1690	181	16	presented	present	VERB
ap-1690	181	17	for	for	ADP
ap-1690	181	18	upstream	upstream	ADJ
ap-1690	181	19	flow	flow	NOUN
ap-1690	181	20	velocities	velocity	NOUN
ap-1690	181	21	u∞	u∞	PUNCT
ap-1690	181	22	=	=	SYM
ap-1690	181	23	{	{	PUNCT
ap-1690	181	24	5	5	NUM
ap-1690	181	25	,	,	PUNCT
ap-1690	181	26	10	10	NUM
ap-1690	181	27	,	,	PUNCT
ap-1690	181	28	15	15	NUM
ap-1690	181	29	,	,	PUNCT
ap-1690	181	30	20	20	NUM
ap-1690	181	31	,	,	PUNCT
ap-1690	181	32	25	25	NUM
ap-1690	181	33	,	,	PUNCT
ap-1690	181	34	35	35	NUM
ap-1690	181	35	,	,	PUNCT
ap-1690	181	36	40}m	40}m	NUM
ap-1690	181	37	/	/	SYM
ap-1690	181	38	s	s	X
ap-1690	181	39	(	(	PUNCT
ap-1690	181	40	the	the	DET
ap-1690	181	41	resulting	result	VERB
ap-1690	181	42	reynolds	reynold	NOUN
ap-1690	181	43	numbers	number	NOUN
ap-1690	181	44	are	be	AUX
ap-1690	181	45	in	in	ADP
ap-1690	181	46	the	the	DET
ap-1690	181	47	range	range	NOUN
ap-1690	181	48	from	from	ADP
ap-1690	181	49	105	105	NUM
ap-1690	181	50	109	109	NUM
ap-1690	181	51	acta	acta	PROPN
ap-1690	181	52	polytechnica	polytechnica	PROPN
ap-1690	181	53	vol	vol	NOUN
ap-1690	181	54	.	.	PROPN
ap-1690	182	1	52	52	NUM
ap-1690	182	2	no	no	NOUN
ap-1690	182	3	.	.	PUNCT
ap-1690	183	1	6/2012	6/2012	NUM
ap-1690	183	2	to	to	PART
ap-1690	183	3	8	8	NUM
ap-1690	183	4	×	×	NOUN
ap-1690	183	5	105	105	NUM
ap-1690	183	6	)	)	PUNCT
ap-1690	183	7	.	.	PUNCT
ap-1690	184	1	the	the	DET
ap-1690	184	2	initial	initial	ADJ
ap-1690	184	3	conditions	condition	NOUN
ap-1690	184	4	h(0	h(0	NOUN
ap-1690	184	5	)	)	PUNCT
ap-1690	184	6	=	=	PUNCT
ap-1690	184	7	−20	−20	PROPN
ap-1690	184	8	mm	mm	NUM
ap-1690	184	9	,	,	PUNCT
ap-1690	184	10	ḣ(0	ḣ(0	X
ap-1690	184	11	)	)	PUNCT
ap-1690	185	1	=	=	SYM
ap-1690	185	2	0	0	NUM
ap-1690	185	3	,	,	PUNCT
ap-1690	185	4	ϕ(0	ϕ(0	PROPN
ap-1690	185	5	)	)	PUNCT
ap-1690	185	6	=	=	PUNCT
ap-1690	185	7	6	6	NUM
ap-1690	185	8	°	°	NUM
ap-1690	185	9	,	,	PUNCT
ap-1690	185	10	ϕ̇(0	ϕ̇(0	X
ap-1690	185	11	)	)	PUNCT
ap-1690	185	12	=	=	SYM
ap-1690	185	13	0	0	NUM
ap-1690	185	14	were	be	AUX
ap-1690	185	15	used	use	VERB
ap-1690	185	16	.	.	PUNCT
ap-1690	186	1	the	the	DET
ap-1690	186	2	vibrations	vibration	NOUN
ap-1690	186	3	are	be	AUX
ap-1690	186	4	evidently	evidently	ADV
ap-1690	186	5	damped	damp	VERB
ap-1690	186	6	by	by	ADP
ap-1690	186	7	aerodynamic	aerodynamic	ADJ
ap-1690	186	8	forces	force	NOUN
ap-1690	186	9	,	,	PUNCT
ap-1690	186	10	and	and	CCONJ
ap-1690	186	11	the	the	DET
ap-1690	186	12	decay	decay	NOUN
ap-1690	186	13	of	of	ADP
ap-1690	186	14	the	the	DET
ap-1690	186	15	oscillations	oscillation	NOUN
ap-1690	186	16	is	be	AUX
ap-1690	186	17	faster	fast	ADJ
ap-1690	186	18	with	with	ADP
ap-1690	186	19	the	the	DET
ap-1690	186	20	fluid	fluid	ADJ
ap-1690	186	21	velocity	velocity	NOUN
ap-1690	186	22	up	up	ADP
ap-1690	186	23	to	to	ADP
ap-1690	186	24	about	about	ADP
ap-1690	186	25	u∞	u∞	NOUN
ap-1690	186	26	=	=	SYM
ap-1690	186	27	35	35	NUM
ap-1690	186	28	m/s	m/s	NOUN
ap-1690	186	29	(	(	PUNCT
ap-1690	186	30	see	see	VERB
ap-1690	186	31	figures	figure	NOUN
ap-1690	186	32	3	3	NUM
ap-1690	186	33	5	5	NUM
ap-1690	186	34	)	)	PUNCT
ap-1690	186	35	.	.	PUNCT
ap-1690	187	1	further	far	ADV
ap-1690	187	2	,	,	PUNCT
ap-1690	187	3	the	the	DET
ap-1690	187	4	system	system	NOUN
ap-1690	187	5	loses	lose	VERB
ap-1690	187	6	its	its	PRON
ap-1690	187	7	static	static	ADJ
ap-1690	187	8	stability	stability	NOUN
ap-1690	187	9	at	at	ADP
ap-1690	187	10	about	about	ADP
ap-1690	187	11	u∞	u∞	NOUN
ap-1690	187	12	=	=	SYM
ap-1690	187	13	40	40	NUM
ap-1690	187	14	m/s	m/s	NOUN
ap-1690	187	15	by	by	ADP
ap-1690	187	16	divergence	divergence	NOUN
ap-1690	187	17	.	.	PUNCT
ap-1690	188	1	more	more	ADV
ap-1690	188	2	severe	severe	ADJ
ap-1690	188	3	instability	instability	NOUN
ap-1690	188	4	occurs	occur	VERB
ap-1690	188	5	in	in	ADP
ap-1690	188	6	the	the	DET
ap-1690	188	7	fem	fem	NOUN
ap-1690	188	8	simulation	simulation	NOUN
ap-1690	188	9	,	,	PUNCT
ap-1690	188	10	see	see	VERB
ap-1690	188	11	figure	figure	NOUN
ap-1690	188	12	6	6	NUM
ap-1690	188	13	,	,	PUNCT
ap-1690	188	14	where	where	SCONJ
ap-1690	188	15	the	the	DET
ap-1690	188	16	rotation	rotation	NOUN
ap-1690	188	17	angle	angle	NOUN
ap-1690	188	18	reaches	reach	VERB
ap-1690	188	19	nearly	nearly	ADV
ap-1690	188	20	14	14	NUM
ap-1690	188	21	°	°	NOUN
ap-1690	188	22	(at	(at	PUNCT
ap-1690	188	23	that	that	DET
ap-1690	188	24	moment	moment	NOUN
ap-1690	188	25	the	the	DET
ap-1690	188	26	computation	computation	NOUN
ap-1690	188	27	failed	fail	VERB
ap-1690	188	28	due	due	ADP
ap-1690	188	29	to	to	ADP
ap-1690	188	30	mesh	mesh	NOUN
ap-1690	188	31	distortion	distortion	NOUN
ap-1690	188	32	)	)	PUNCT
ap-1690	188	33	.	.	PUNCT
ap-1690	189	1	the	the	DET
ap-1690	189	2	aeroelastic	aeroelastic	ADJ
ap-1690	189	3	response	response	NOUN
ap-1690	189	4	for	for	ADP
ap-1690	189	5	this	this	DET
ap-1690	189	6	case	case	NOUN
ap-1690	189	7	computed	compute	VERB
ap-1690	189	8	by	by	ADP
ap-1690	189	9	fvm	fvm	ADJ
ap-1690	189	10	rather	rather	ADV
ap-1690	189	11	limits	limit	NOUN
ap-1690	189	12	to	to	ADP
ap-1690	189	13	smaller	small	ADJ
ap-1690	189	14	static	static	ADJ
ap-1690	189	15	deflections	deflection	NOUN
ap-1690	189	16	(	(	PUNCT
ap-1690	189	17	see	see	VERB
ap-1690	189	18	figures	figure	NOUN
ap-1690	189	19	5	5	NUM
ap-1690	189	20	and	and	CCONJ
ap-1690	189	21	6	6	NUM
ap-1690	189	22	)	)	PUNCT
ap-1690	189	23	.	.	PUNCT
ap-1690	190	1	however	however	ADV
ap-1690	190	2	,	,	PUNCT
ap-1690	190	3	the	the	DET
ap-1690	190	4	fvm	fvm	ADJ
ap-1690	190	5	results	result	VERB
ap-1690	190	6	for	for	ADP
ap-1690	190	7	upstream	upstream	ADJ
ap-1690	190	8	velocity	velocity	NOUN
ap-1690	190	9	u∞	u∞	PUNCT
ap-1690	191	1	=	=	SYM
ap-1690	191	2	42.5	42.5	NUM
ap-1690	191	3	m/s	m/s	PROPN
ap-1690	191	4	shown	show	VERB
ap-1690	191	5	in	in	ADP
ap-1690	191	6	figure	figure	NOUN
ap-1690	191	7	7	7	NUM
ap-1690	191	8	apparently	apparently	ADV
ap-1690	191	9	demonstrate	demonstrate	VERB
ap-1690	191	10	unstable	unstable	ADJ
ap-1690	191	11	behaviour	behaviour	NOUN
ap-1690	191	12	of	of	ADP
ap-1690	191	13	the	the	DET
ap-1690	191	14	system	system	NOUN
ap-1690	191	15	.	.	PUNCT
ap-1690	192	1	here	here	ADV
ap-1690	192	2	,	,	PUNCT
ap-1690	192	3	the	the	DET
ap-1690	192	4	vibration	vibration	NOUN
ap-1690	192	5	amplitudes	amplitude	NOUN
ap-1690	192	6	increase	increase	VERB
ap-1690	192	7	rapidly	rapidly	ADV
ap-1690	192	8	and	and	CCONJ
ap-1690	192	9	reach	reach	VERB
ap-1690	192	10	values	value	NOUN
ap-1690	192	11	of	of	ADP
ap-1690	192	12	about	about	ADV
ap-1690	192	13	9	9	NUM
ap-1690	192	14	°	°	NOUN
ap-1690	192	15	for	for	ADP
ap-1690	192	16	rotation	rotation	NOUN
ap-1690	192	17	and	and	CCONJ
ap-1690	192	18	−70	−70	NOUN
ap-1690	192	19	mm	mm	PROPN
ap-1690	192	20	for	for	ADP
ap-1690	192	21	vertical	vertical	ADJ
ap-1690	192	22	displacement	displacement	NOUN
ap-1690	192	23	just	just	ADV
ap-1690	192	24	before	before	SCONJ
ap-1690	192	25	the	the	DET
ap-1690	192	26	computation	computation	NOUN
ap-1690	192	27	collapses	collapse	VERB
ap-1690	192	28	.	.	PUNCT
ap-1690	193	1	note	note	VERB
ap-1690	193	2	that	that	SCONJ
ap-1690	193	3	the	the	DET
ap-1690	193	4	critical	critical	ADJ
ap-1690	193	5	flow	flow	NOUN
ap-1690	193	6	velocity	velocity	NOUN
ap-1690	193	7	for	for	ADP
ap-1690	193	8	the	the	DET
ap-1690	193	9	aeroelastic	aeroelastic	ADJ
ap-1690	193	10	instability	instability	NOUN
ap-1690	193	11	computed	compute	VERB
ap-1690	193	12	by	by	ADP
ap-1690	193	13	nastran	nastran	NOUN
ap-1690	193	14	was	be	AUX
ap-1690	193	15	37.7	37.7	NUM
ap-1690	193	16	m/s	m/s	NOUN
ap-1690	193	17	(	(	PUNCT
ap-1690	193	18	see	see	VERB
ap-1690	193	19	[	[	X
ap-1690	193	20	28	28	NUM
ap-1690	193	21	]	]	NUM
ap-1690	193	22	)	)	PUNCT
ap-1690	193	23	.	.	PUNCT
ap-1690	194	1	this	this	PRON
ap-1690	194	2	corresponds	correspond	VERB
ap-1690	194	3	to	to	ADP
ap-1690	194	4	the	the	DET
ap-1690	194	5	results	result	NOUN
ap-1690	194	6	of	of	ADP
ap-1690	194	7	the	the	DET
ap-1690	194	8	numerical	numerical	ADJ
ap-1690	194	9	simulations	simulation	NOUN
ap-1690	194	10	presented	present	VERB
ap-1690	194	11	since	since	SCONJ
ap-1690	194	12	the	the	DET
ap-1690	194	13	system	system	NOUN
ap-1690	194	14	was	be	AUX
ap-1690	194	15	found	find	VERB
ap-1690	194	16	stable	stable	ADJ
ap-1690	194	17	for	for	ADP
ap-1690	194	18	upstream	upstream	ADJ
ap-1690	194	19	flow	flow	NOUN
ap-1690	194	20	velocity	velocity	NOUN
ap-1690	194	21	35	35	NUM
ap-1690	194	22	m/s	m/	NOUN
ap-1690	194	23	and	and	CCONJ
ap-1690	194	24	unstable	unstable	ADJ
ap-1690	194	25	for	for	ADP
ap-1690	194	26	upstream	upstream	ADJ
ap-1690	194	27	flow	flow	NOUN
ap-1690	194	28	velocity	velocity	NOUN
ap-1690	194	29	40	40	NUM
ap-1690	194	30	m/s	m/	NOUN
ap-1690	194	31	in	in	ADP
ap-1690	194	32	the	the	DET
ap-1690	194	33	case	case	NOUN
ap-1690	194	34	of	of	ADP
ap-1690	194	35	fem	fem	NOUN
ap-1690	194	36	and	and	CCONJ
ap-1690	194	37	42.5	42.5	NUM
ap-1690	194	38	m/s	m/	NOUN
ap-1690	194	39	in	in	ADP
ap-1690	194	40	the	the	DET
ap-1690	194	41	case	case	NOUN
ap-1690	194	42	of	of	ADP
ap-1690	194	43	fvm	fvm	ADJ
ap-1690	194	44	.	.	PUNCT
ap-1690	195	1	further	far	ADV
ap-1690	195	2	,	,	PUNCT
ap-1690	195	3	the	the	DET
ap-1690	195	4	fourier	fourier	NOUN
ap-1690	195	5	transformations	transformation	NOUN
ap-1690	195	6	of	of	ADP
ap-1690	195	7	rotation	rotation	NOUN
ap-1690	195	8	angle	angle	NOUN
ap-1690	195	9	ϕ(t	ϕ(t	NUM
ap-1690	195	10	)	)	PUNCT
ap-1690	195	11	and	and	CCONJ
ap-1690	195	12	vertical	vertical	ADJ
ap-1690	195	13	displacement	displacement	NOUN
ap-1690	195	14	h(t	h(t	PROPN
ap-1690	195	15	)	)	PUNCT
ap-1690	195	16	signals	signal	NOUN
ap-1690	195	17	were	be	AUX
ap-1690	195	18	computed	compute	VERB
ap-1690	195	19	.	.	PUNCT
ap-1690	196	1	figures	figure	NOUN
ap-1690	196	2	8	8	NUM
ap-1690	196	3	and	and	CCONJ
ap-1690	196	4	9	9	NUM
ap-1690	196	5	compare	compare	VERB
ap-1690	196	6	the	the	DET
ap-1690	196	7	frequency	frequency	NOUN
ap-1690	196	8	spectrum	spectrum	NOUN
ap-1690	196	9	analysis	analysis	NOUN
ap-1690	196	10	of	of	ADP
ap-1690	196	11	fvm	fvm	ADJ
ap-1690	196	12	and	and	CCONJ
ap-1690	196	13	fem	fem	NOUN
ap-1690	196	14	results	result	NOUN
ap-1690	196	15	for	for	ADP
ap-1690	196	16	the	the	DET
ap-1690	196	17	far	far	ADJ
ap-1690	196	18	-	-	PUNCT
ap-1690	196	19	field	field	NOUN
ap-1690	196	20	flow	flow	NOUN
ap-1690	196	21	velocities	velocity	NOUN
ap-1690	196	22	u∞	u∞	PUNCT
ap-1690	197	1	=	=	SYM
ap-1690	197	2	5	5	NUM
ap-1690	197	3	,	,	PUNCT
ap-1690	197	4	10	10	NUM
ap-1690	197	5	,	,	PUNCT
ap-1690	197	6	15	15	NUM
ap-1690	197	7	and	and	CCONJ
ap-1690	197	8	20	20	NUM
ap-1690	197	9	m/s	m/s	PROPN
ap-1690	197	10	,	,	PUNCT
ap-1690	197	11	respectively	respectively	ADV
ap-1690	197	12	.	.	PUNCT
ap-1690	198	1	the	the	DET
ap-1690	198	2	two	two	NUM
ap-1690	198	3	dominant	dominant	ADJ
ap-1690	198	4	frequencies	frequency	NOUN
ap-1690	198	5	can	can	AUX
ap-1690	198	6	be	be	AUX
ap-1690	198	7	seen	see	VERB
ap-1690	198	8	for	for	ADP
ap-1690	198	9	all	all	DET
ap-1690	198	10	the	the	DET
ap-1690	198	11	considered	consider	VERB
ap-1690	198	12	far	far	ADJ
ap-1690	198	13	field	field	NOUN
ap-1690	198	14	velocities	velocity	NOUN
ap-1690	198	15	.	.	PUNCT
ap-1690	199	1	the	the	DET
ap-1690	199	2	lower	low	ADJ
ap-1690	199	3	frequency	frequency	NOUN
ap-1690	199	4	f1	f1	NOUN
ap-1690	199	5	≈	≈	PROPN
ap-1690	199	6	5.3hz	5.3hz	PROPN
ap-1690	199	7	refers	refer	VERB
ap-1690	199	8	to	to	ADP
ap-1690	199	9	the	the	DET
ap-1690	199	10	vertical	vertical	ADJ
ap-1690	199	11	translation	translation	NOUN
ap-1690	199	12	of	of	ADP
ap-1690	199	13	the	the	DET
ap-1690	199	14	profile	profile	NOUN
ap-1690	199	15	,	,	PUNCT
ap-1690	199	16	and	and	CCONJ
ap-1690	199	17	the	the	DET
ap-1690	199	18	higher	high	ADJ
ap-1690	199	19	frequency	frequency	NOUN
ap-1690	199	20	f2	f2	PROPN
ap-1690	199	21	≈	≈	PROPN
ap-1690	199	22	13.6hz	13.6hz	NUM
ap-1690	199	23	refers	refer	VERB
ap-1690	199	24	to	to	ADP
ap-1690	199	25	the	the	DET
ap-1690	199	26	profile	profile	ADJ
ap-1690	199	27	rotation	rotation	NOUN
ap-1690	199	28	around	around	ADP
ap-1690	199	29	the	the	DET
ap-1690	199	30	elastic	elastic	ADJ
ap-1690	199	31	axis	axis	NOUN
ap-1690	199	32	.	.	PUNCT
ap-1690	200	1	when	when	SCONJ
ap-1690	200	2	the	the	DET
ap-1690	200	3	flow	flow	NOUN
ap-1690	200	4	velocity	velocity	NOUN
ap-1690	200	5	is	be	AUX
ap-1690	200	6	increased	increase	VERB
ap-1690	200	7	,	,	PUNCT
ap-1690	200	8	both	both	DET
ap-1690	200	9	resonances	resonance	NOUN
ap-1690	200	10	are	be	AUX
ap-1690	200	11	more	more	ADV
ap-1690	200	12	damped	damped	ADJ
ap-1690	200	13	and	and	CCONJ
ap-1690	200	14	the	the	DET
ap-1690	200	15	frequencies	frequency	NOUN
ap-1690	200	16	are	be	AUX
ap-1690	200	17	getting	get	VERB
ap-1690	200	18	closer	close	ADJ
ap-1690	200	19	(	(	PUNCT
ap-1690	200	20	f1	f1	PROPN
ap-1690	200	21	≈	≈	PROPN
ap-1690	200	22	5.5hz	5.5hz	PROPN
ap-1690	200	23	,	,	PUNCT
ap-1690	200	24	f2	f2	PROPN
ap-1690	200	25	≈	≈	PROPN
ap-1690	200	26	12.8hz	12.8hz	NUM
ap-1690	200	27	)	)	PUNCT
ap-1690	200	28	,	,	PUNCT
ap-1690	200	29	which	which	PRON
ap-1690	200	30	is	be	AUX
ap-1690	200	31	a	a	DET
ap-1690	200	32	typical	typical	ADJ
ap-1690	200	33	phenomenon	phenomenon	NOUN
ap-1690	200	34	in	in	ADP
ap-1690	200	35	flutter	flutter	NOUN
ap-1690	200	36	analyses	analysis	NOUN
ap-1690	200	37	.	.	PUNCT
ap-1690	201	1	the	the	DET
ap-1690	201	2	spectra	spectra	PROPN
ap-1690	201	3	show	show	VERB
ap-1690	201	4	very	very	ADV
ap-1690	201	5	good	good	ADJ
ap-1690	201	6	agreement	agreement	NOUN
ap-1690	201	7	of	of	ADP
ap-1690	201	8	the	the	DET
ap-1690	201	9	dominant	dominant	ADJ
ap-1690	201	10	frequencies	frequency	NOUN
ap-1690	201	11	between	between	ADP
ap-1690	201	12	the	the	DET
ap-1690	201	13	fvm	fvm	NOUN
ap-1690	201	14	and	and	CCONJ
ap-1690	201	15	fem	fem	NOUN
ap-1690	201	16	results	result	NOUN
ap-1690	201	17	for	for	ADP
ap-1690	201	18	these	these	DET
ap-1690	201	19	flow	flow	NOUN
ap-1690	201	20	velocities	velocity	NOUN
ap-1690	201	21	.	.	PUNCT
ap-1690	202	1	the	the	DET
ap-1690	202	2	result	result	NOUN
ap-1690	202	3	of	of	ADP
ap-1690	202	4	the	the	DET
ap-1690	202	5	fourier	fourier	NOUN
ap-1690	202	6	transformations	transformation	NOUN
ap-1690	202	7	shown	show	VERB
ap-1690	202	8	in	in	ADP
ap-1690	202	9	fig	fig	NOUN
ap-1690	202	10	.	.	PUNCT
ap-1690	203	1	10	10	NUM
ap-1690	203	2	for	for	ADP
ap-1690	203	3	u∞	u∞	SYM
ap-1690	203	4	=	=	SYM
ap-1690	203	5	25	25	NUM
ap-1690	203	6	m/s	m/s	PROPN
ap-1690	203	7	is	be	AUX
ap-1690	203	8	different	different	ADJ
ap-1690	203	9	,	,	PUNCT
ap-1690	203	10	and	and	CCONJ
ap-1690	203	11	it	it	PRON
ap-1690	203	12	is	be	AUX
ap-1690	203	13	difficult	difficult	ADJ
ap-1690	203	14	to	to	PART
ap-1690	203	15	identify	identify	VERB
ap-1690	203	16	the	the	DET
ap-1690	203	17	dominant	dominant	ADJ
ap-1690	203	18	frequencies	frequency	NOUN
ap-1690	203	19	precisely	precisely	ADV
ap-1690	203	20	.	.	PUNCT
ap-1690	204	1	this	this	PRON
ap-1690	204	2	is	be	AUX
ap-1690	204	3	above	above	ADP
ap-1690	204	4	all	all	PRON
ap-1690	204	5	due	due	ADJ
ap-1690	204	6	to	to	ADP
ap-1690	204	7	much	much	ADV
ap-1690	204	8	higher	high	ADJ
ap-1690	204	9	aerodynamical	aerodynamical	ADJ
ap-1690	204	10	damping	damping	NOUN
ap-1690	204	11	,	,	PUNCT
ap-1690	204	12	which	which	PRON
ap-1690	204	13	is	be	AUX
ap-1690	204	14	also	also	ADV
ap-1690	204	15	similar	similar	ADJ
ap-1690	204	16	for	for	ADP
ap-1690	204	17	the	the	DET
ap-1690	204	18	cases	case	NOUN
ap-1690	204	19	u∞	u∞	PUNCT
ap-1690	204	20	=	=	SYM
ap-1690	204	21	35	35	NUM
ap-1690	204	22	–	–	PUNCT
ap-1690	204	23	45	45	NUM
ap-1690	204	24	m/s	m/s	PROPN
ap-1690	204	25	(	(	PUNCT
ap-1690	204	26	the	the	DET
ap-1690	204	27	results	result	NOUN
ap-1690	204	28	are	be	AUX
ap-1690	204	29	not	not	PART
ap-1690	204	30	shown	show	VERB
ap-1690	204	31	here	here	ADV
ap-1690	204	32	)	)	PUNCT
ap-1690	204	33	.	.	PUNCT
ap-1690	205	1	6	6	NUM
ap-1690	205	2	conclusions	conclusion	NOUN
ap-1690	205	3	aeroelastic	aeroelastic	ADJ
ap-1690	205	4	instability	instability	NOUN
ap-1690	205	5	due	due	ADP
ap-1690	205	6	to	to	ADP
ap-1690	205	7	divergence	divergence	NOUN
ap-1690	205	8	appeared	appear	VERB
ap-1690	205	9	prior	prior	ADV
ap-1690	205	10	to	to	ADP
ap-1690	205	11	flutter	flutter	NOUN
ap-1690	205	12	in	in	ADP
ap-1690	205	13	both	both	CCONJ
ap-1690	205	14	numerical	numerical	ADJ
ap-1690	205	15	approaches	approach	NOUN
ap-1690	205	16	.	.	PUNCT
ap-1690	206	1	the	the	DET
ap-1690	206	2	results	result	NOUN
ap-1690	206	3	of	of	ADP
ap-1690	206	4	the	the	DET
ap-1690	206	5	numerical	numerical	ADJ
ap-1690	206	6	simulations	simulation	NOUN
ap-1690	206	7	in	in	ADP
ap-1690	206	8	the	the	DET
ap-1690	206	9	time	time	NOUN
ap-1690	206	10	domain	domain	NOUN
ap-1690	206	11	computed	compute	VERB
ap-1690	206	12	by	by	ADP
ap-1690	206	13	fvm	fvm	ADJ
ap-1690	206	14	are	be	AUX
ap-1690	206	15	in	in	ADP
ap-1690	206	16	good	good	ADJ
ap-1690	206	17	qualitative	qualitative	ADJ
ap-1690	206	18	agreement	agreement	NOUN
ap-1690	206	19	with	with	ADP
ap-1690	206	20	the	the	DET
ap-1690	206	21	fem	fem	NOUN
ap-1690	206	22	computations	computation	NOUN
ap-1690	206	23	of	of	ADP
ap-1690	206	24	the	the	DET
ap-1690	206	25	same	same	ADJ
ap-1690	206	26	aeroelastic	aeroelastic	ADJ
ap-1690	206	27	problem	problem	NOUN
ap-1690	206	28	,	,	PUNCT
ap-1690	206	29	and	and	CCONJ
ap-1690	206	30	both	both	DET
ap-1690	206	31	numerical	numerical	ADJ
ap-1690	206	32	methods	method	NOUN
ap-1690	206	33	estimate	estimate	VERB
ap-1690	206	34	the	the	DET
ap-1690	206	35	critical	critical	ADJ
ap-1690	206	36	flow	flow	NOUN
ap-1690	206	37	velocity	velocity	NOUN
ap-1690	206	38	in	in	ADP
ap-1690	206	39	good	good	ADJ
ap-1690	206	40	agreement	agreement	NOUN
ap-1690	206	41	with	with	ADP
ap-1690	206	42	the	the	DET
ap-1690	206	43	nastran	nastran	ADJ
ap-1690	206	44	computation	computation	NOUN
ap-1690	206	45	using	use	VERB
ap-1690	206	46	a	a	DET
ap-1690	206	47	classic	classic	ADJ
ap-1690	206	48	linear	linear	ADJ
ap-1690	206	49	approach	approach	NOUN
ap-1690	206	50	.	.	PUNCT
ap-1690	207	1	the	the	DET
ap-1690	207	2	numerical	numerical	ADJ
ap-1690	207	3	results	result	NOUN
ap-1690	207	4	presented	present	VERB
ap-1690	207	5	here	here	ADV
ap-1690	207	6	,	,	PUNCT
ap-1690	207	7	computed	compute	VERB
ap-1690	207	8	by	by	ADP
ap-1690	207	9	fvm	fvm	NOUN
ap-1690	207	10	and	and	CCONJ
ap-1690	207	11	fem	fem	NOUN
ap-1690	207	12	,	,	PUNCT
ap-1690	207	13	are	be	AUX
ap-1690	207	14	in	in	ADP
ap-1690	207	15	a	a	DET
ap-1690	207	16	very	very	ADV
ap-1690	207	17	good	good	ADJ
ap-1690	207	18	quantitative	quantitative	ADJ
ap-1690	207	19	agreement	agreement	NOUN
ap-1690	207	20	for	for	ADP
ap-1690	207	21	upstream	upstream	ADJ
ap-1690	207	22	velocities	velocity	NOUN
ap-1690	207	23	up	up	ADP
ap-1690	207	24	to	to	ADP
ap-1690	207	25	35	35	NUM
ap-1690	207	26	m/s	m/s	NUM
ap-1690	207	27	.	.	PUNCT
ap-1690	208	1	here	here	ADV
ap-1690	208	2	,	,	PUNCT
ap-1690	208	3	both	both	DET
ap-1690	208	4	computations	computation	NOUN
ap-1690	208	5	fully	fully	ADV
ap-1690	208	6	and	and	CCONJ
ap-1690	208	7	almost	almost	ADV
ap-1690	208	8	identically	identically	ADV
ap-1690	208	9	represent	represent	VERB
ap-1690	208	10	the	the	DET
ap-1690	208	11	aeroelastic	aeroelastic	ADJ
ap-1690	208	12	behaviour	behaviour	NOUN
ap-1690	208	13	of	of	ADP
ap-1690	208	14	the	the	DET
ap-1690	208	15	system	system	NOUN
ap-1690	208	16	.	.	PUNCT
ap-1690	209	1	fvm	fvm	ADJ
ap-1690	209	2	and	and	CCONJ
ap-1690	209	3	fem	fem	NOUN
ap-1690	209	4	results	result	NOUN
ap-1690	209	5	differ	differ	VERB
ap-1690	209	6	markedly	markedly	ADV
ap-1690	209	7	when	when	SCONJ
ap-1690	209	8	the	the	DET
ap-1690	209	9	upstream	upstream	ADJ
ap-1690	209	10	flow	flow	NOUN
ap-1690	209	11	velocity	velocity	NOUN
ap-1690	209	12	reaches	reach	VERB
ap-1690	209	13	40	40	NUM
ap-1690	209	14	m/s	m/s	NOUN
ap-1690	209	15	.	.	PUNCT
ap-1690	210	1	the	the	DET
ap-1690	210	2	system	system	NOUN
ap-1690	210	3	is	be	AUX
ap-1690	210	4	unstable	unstable	ADJ
ap-1690	210	5	for	for	ADP
ap-1690	210	6	upstream	upstream	ADJ
ap-1690	210	7	velocity	velocity	NOUN
ap-1690	210	8	close	close	ADV
ap-1690	210	9	to	to	ADP
ap-1690	210	10	this	this	DET
ap-1690	210	11	value	value	NOUN
ap-1690	210	12	.	.	PUNCT
ap-1690	211	1	the	the	DET
ap-1690	211	2	artificial	artificial	ADJ
ap-1690	211	3	numerical	numerical	ADJ
ap-1690	211	4	dissipation	dissipation	NOUN
ap-1690	211	5	implemented	implement	VERB
ap-1690	211	6	in	in	ADP
ap-1690	211	7	the	the	DET
ap-1690	211	8	fvm	fvm	ADJ
ap-1690	211	9	scheme	scheme	NOUN
ap-1690	211	10	may	may	AUX
ap-1690	211	11	be	be	AUX
ap-1690	211	12	responsible	responsible	ADJ
ap-1690	211	13	for	for	ADP
ap-1690	211	14	the	the	DET
ap-1690	211	15	excessively	excessively	ADV
ap-1690	211	16	strong	strong	ADJ
ap-1690	211	17	influence	influence	NOUN
ap-1690	211	18	of	of	ADP
ap-1690	211	19	the	the	DET
ap-1690	211	20	flow	flow	NOUN
ap-1690	211	21	,	,	PUNCT
ap-1690	211	22	and	and	CCONJ
ap-1690	211	23	consequently	consequently	ADV
ap-1690	211	24	for	for	ADP
ap-1690	211	25	the	the	DET
ap-1690	211	26	behaviour	behaviour	NOUN
ap-1690	211	27	of	of	ADP
ap-1690	211	28	the	the	DET
ap-1690	211	29	system	system	NOUN
ap-1690	211	30	for	for	ADP
ap-1690	211	31	upstream	upstream	ADJ
ap-1690	211	32	velocities	velocity	NOUN
ap-1690	211	33	close	close	ADJ
ap-1690	211	34	to	to	ADP
ap-1690	211	35	40	40	NUM
ap-1690	211	36	m/s	m/s	NOUN
ap-1690	211	37	.	.	PUNCT
ap-1690	212	1	the	the	DET
ap-1690	212	2	numerical	numerical	ADJ
ap-1690	212	3	scheme	scheme	NOUN
ap-1690	212	4	in	in	ADP
ap-1690	212	5	fvm	fvm	ADJ
ap-1690	212	6	is	be	AUX
ap-1690	212	7	implicit	implicit	ADJ
ap-1690	212	8	in	in	ADP
ap-1690	212	9	real	real	ADJ
ap-1690	212	10	time	time	NOUN
ap-1690	212	11	but	but	CCONJ
ap-1690	212	12	explicit	explicit	ADJ
ap-1690	212	13	in	in	ADP
ap-1690	212	14	dual	dual	ADJ
ap-1690	212	15	time	time	NOUN
ap-1690	212	16	,	,	PUNCT
ap-1690	212	17	while	while	SCONJ
ap-1690	212	18	the	the	DET
ap-1690	212	19	fem	fem	NOUN
ap-1690	212	20	method	method	NOUN
ap-1690	212	21	is	be	AUX
ap-1690	212	22	fully	fully	ADV
ap-1690	212	23	implicit	implicit	ADJ
ap-1690	212	24	.	.	PUNCT
ap-1690	213	1	this	this	PRON
ap-1690	213	2	implies	imply	VERB
ap-1690	213	3	that	that	SCONJ
ap-1690	213	4	the	the	DET
ap-1690	213	5	computations	computation	NOUN
ap-1690	213	6	in	in	ADP
ap-1690	213	7	fvm	fvm	ADJ
ap-1690	213	8	are	be	AUX
ap-1690	213	9	more	more	ADJ
ap-1690	213	10	time	time	NOUN
ap-1690	213	11	consuming	consume	VERB
ap-1690	213	12	than	than	ADP
ap-1690	213	13	in	in	ADP
ap-1690	213	14	fem	fem	NOUN
ap-1690	213	15	.	.	PUNCT
ap-1690	214	1	in	in	ADP
ap-1690	214	2	the	the	DET
ap-1690	214	3	computations	computation	NOUN
ap-1690	214	4	presented	present	VERB
ap-1690	214	5	here	here	ADV
ap-1690	214	6	,	,	PUNCT
ap-1690	214	7	the	the	DET
ap-1690	214	8	mesh	mesh	NOUN
ap-1690	214	9	for	for	ADP
ap-1690	214	10	fvm	fvm	ADJ
ap-1690	214	11	consisted	consist	VERB
ap-1690	214	12	of	of	ADP
ap-1690	214	13	approximately	approximately	ADV
ap-1690	214	14	18	18	NUM
ap-1690	214	15	thousand	thousand	NUM
ap-1690	214	16	of	of	ADP
ap-1690	214	17	cells	cell	NOUN
ap-1690	214	18	and	and	CCONJ
ap-1690	214	19	54	54	NUM
ap-1690	214	20	thousand	thousand	NUM
ap-1690	214	21	unknowns	unknown	NOUN
ap-1690	214	22	,	,	PUNCT
ap-1690	214	23	and	and	CCONJ
ap-1690	214	24	the	the	DET
ap-1690	214	25	computations	computation	NOUN
ap-1690	214	26	took	take	VERB
ap-1690	214	27	approximately	approximately	ADV
ap-1690	214	28	50–80	50–80	NUM
ap-1690	214	29	seconds	second	NOUN
ap-1690	214	30	for	for	ADP
ap-1690	214	31	a	a	DET
ap-1690	214	32	single	single	ADJ
ap-1690	214	33	time	time	NOUN
ap-1690	214	34	step	step	NOUN
ap-1690	214	35	(	(	PUNCT
ap-1690	214	36	depending	depend	VERB
ap-1690	214	37	on	on	ADP
ap-1690	214	38	the	the	DET
ap-1690	214	39	far	far	ADJ
ap-1690	214	40	field	field	NOUN
ap-1690	214	41	velocity	velocity	NOUN
ap-1690	214	42	)	)	PUNCT
ap-1690	214	43	,	,	PUNCT
ap-1690	214	44	on	on	ADP
ap-1690	214	45	a	a	DET
ap-1690	214	46	pc	pc	NOUN
ap-1690	214	47	computer	computer	NOUN
ap-1690	214	48	with	with	ADP
ap-1690	214	49	an	an	DET
ap-1690	214	50	intel	intel	PROPN
ap-1690	214	51	quad	quad	PROPN
ap-1690	214	52	core	core	NOUN
ap-1690	214	53	processor	processor	NOUN
ap-1690	214	54	with	with	ADP
ap-1690	214	55	4	4	NUM
ap-1690	214	56	gb	gb	NOUN
ap-1690	214	57	of	of	ADP
ap-1690	214	58	memory	memory	NOUN
ap-1690	214	59	.	.	PUNCT
ap-1690	215	1	the	the	DET
ap-1690	215	2	computation	computation	NOUN
ap-1690	215	3	of	of	ADP
ap-1690	215	4	fem	fem	NOUN
ap-1690	215	5	was	be	AUX
ap-1690	215	6	performed	perform	VERB
ap-1690	215	7	on	on	ADP
ap-1690	215	8	a	a	DET
ap-1690	215	9	mesh	mesh	NOUN
ap-1690	215	10	with	with	ADP
ap-1690	215	11	approximately	approximately	ADV
ap-1690	215	12	34	34	NUM
ap-1690	215	13	thousand	thousand	NUM
ap-1690	215	14	of	of	ADP
ap-1690	215	15	elements	element	NOUN
ap-1690	215	16	with	with	ADP
ap-1690	215	17	approximately	approximately	ADV
ap-1690	215	18	150	150	NUM
ap-1690	215	19	thousand	thousand	NUM
ap-1690	215	20	unknowns	unknown	NOUN
ap-1690	215	21	,	,	PUNCT
ap-1690	215	22	and	and	CCONJ
ap-1690	215	23	the	the	DET
ap-1690	215	24	computations	computation	NOUN
ap-1690	215	25	took	take	VERB
ap-1690	215	26	approximately	approximately	ADV
ap-1690	215	27	30–50	30–50	NUM
ap-1690	215	28	seconds	second	NOUN
ap-1690	215	29	for	for	ADP
ap-1690	215	30	a	a	DET
ap-1690	215	31	single	single	ADJ
ap-1690	215	32	time	time	NOUN
ap-1690	215	33	step	step	NOUN
ap-1690	215	34	.	.	PUNCT
ap-1690	216	1	in	in	ADP
ap-1690	216	2	both	both	DET
ap-1690	216	3	cases	case	NOUN
ap-1690	216	4	the	the	DET
ap-1690	216	5	time	time	NOUN
ap-1690	216	6	consumed	consume	VERB
ap-1690	216	7	is	be	AUX
ap-1690	216	8	also	also	ADV
ap-1690	216	9	influenced	influence	VERB
ap-1690	216	10	by	by	ADP
ap-1690	216	11	the	the	DET
ap-1690	216	12	number	number	NOUN
ap-1690	216	13	of	of	ADP
ap-1690	216	14	iterations	iteration	NOUN
ap-1690	216	15	of	of	ADP
ap-1690	216	16	the	the	DET
ap-1690	216	17	coupling	coupling	NOUN
ap-1690	216	18	algorithm	algorithm	NOUN
ap-1690	216	19	between	between	ADP
ap-1690	216	20	fluid	fluid	NOUN
ap-1690	216	21	and	and	CCONJ
ap-1690	216	22	structure	structure	NOUN
ap-1690	216	23	.	.	PUNCT
ap-1690	217	1	however	however	ADV
ap-1690	217	2	,	,	PUNCT
ap-1690	217	3	the	the	DET
ap-1690	217	4	implemented	implement	VERB
ap-1690	217	5	numerical	numerical	ADJ
ap-1690	217	6	scheme	scheme	NOUN
ap-1690	217	7	for	for	ADP
ap-1690	217	8	fvm	fvm	ADJ
ap-1690	217	9	does	do	AUX
ap-1690	217	10	not	not	PART
ap-1690	217	11	require	require	VERB
ap-1690	217	12	any	any	DET
ap-1690	217	13	big	big	ADJ
ap-1690	217	14	matrices	matrix	NOUN
ap-1690	217	15	to	to	PART
ap-1690	217	16	be	be	AUX
ap-1690	217	17	stored	store	VERB
ap-1690	217	18	,	,	PUNCT
ap-1690	217	19	unlike	unlike	ADP
ap-1690	217	20	the	the	DET
ap-1690	217	21	fully	fully	ADV
ap-1690	217	22	implicit	implicit	ADJ
ap-1690	217	23	numerical	numerical	ADJ
ap-1690	217	24	scheme	scheme	NOUN
ap-1690	217	25	in	in	ADP
ap-1690	217	26	fem	fem	PROPN
ap-1690	217	27	.	.	PUNCT
ap-1690	218	1	hence	hence	ADV
ap-1690	218	2	,	,	PUNCT
ap-1690	218	3	the	the	DET
ap-1690	218	4	computer	computer	NOUN
ap-1690	218	5	memory	memory	NOUN
ap-1690	218	6	requirements	requirement	NOUN
ap-1690	218	7	are	be	AUX
ap-1690	218	8	much	much	ADV
ap-1690	218	9	more	more	ADV
ap-1690	218	10	moderate	moderate	ADJ
ap-1690	218	11	for	for	ADP
ap-1690	218	12	fvm	fvm	ADJ
ap-1690	218	13	than	than	ADP
ap-1690	218	14	for	for	ADP
ap-1690	218	15	fem	fem	NOUN
ap-1690	218	16	(	(	PUNCT
ap-1690	218	17	approximately	approximately	ADV
ap-1690	218	18	1.2	1.2	NUM
ap-1690	218	19	gb	gb	NOUN
ap-1690	218	20	of	of	ADP
ap-1690	218	21	memory	memory	NOUN
ap-1690	218	22	)	)	PUNCT
ap-1690	218	23	.	.	PUNCT
ap-1690	219	1	acknowledgements	acknowledgement	NOUN
ap-1690	219	2	this	this	DET
ap-1690	219	3	work	work	NOUN
ap-1690	219	4	has	have	AUX
ap-1690	219	5	been	be	AUX
ap-1690	219	6	supported	support	VERB
ap-1690	219	7	by	by	ADP
ap-1690	219	8	the	the	DET
ap-1690	219	9	research	research	NOUN
ap-1690	219	10	plan	plan	NOUN
ap-1690	219	11	of	of	ADP
ap-1690	219	12	the	the	DET
ap-1690	219	13	ministry	ministry	PROPN
ap-1690	219	14	of	of	ADP
ap-1690	219	15	education	education	NOUN
ap-1690	219	16	of	of	ADP
ap-1690	219	17	the	the	DET
ap-1690	219	18	czech	czech	PROPN
ap-1690	219	19	republic	republic	NOUN
ap-1690	219	20	no	no	DET
ap-1690	219	21	6840770003	6840770003	NUM
ap-1690	219	22	and	and	CCONJ
ap-1690	219	23	by	by	ADP
ap-1690	219	24	grants	grant	NOUN
ap-1690	219	25	of	of	ADP
ap-1690	219	26	the	the	DET
ap-1690	219	27	czech	czech	PROPN
ap-1690	219	28	science	science	PROPN
ap-1690	219	29	foundation	foundation	PROPN
ap-1690	219	30	no	no	INTJ
ap-1690	219	31	.	.	PUNCT
ap-1690	220	1	p101/11/0207	p101/11/0207	NOUN
ap-1690	220	2	,	,	PUNCT
ap-1690	220	3	p101/12/1271	p101/12/1271	PROPN
ap-1690	220	4	.	.	PUNCT
ap-1690	221	1	references	reference	NOUN
ap-1690	221	2	appear	appear	VERB
ap-1690	221	3	after	after	ADP
ap-1690	221	4	the	the	DET
ap-1690	221	5	figures	figure	NOUN
ap-1690	221	6	on	on	ADP
ap-1690	221	7	page	page	NOUN
ap-1690	221	8	115	115	NUM
ap-1690	221	9	.	.	PUNCT
ap-1690	222	1	110	110	NUM
ap-1690	222	2	acta	acta	PROPN
ap-1690	222	3	polytechnica	polytechnica	PROPN
ap-1690	222	4	vol	vol	NOUN
ap-1690	222	5	.	.	PROPN
ap-1690	223	1	52	52	NUM
ap-1690	223	2	no	no	NOUN
ap-1690	223	3	.	.	PUNCT
ap-1690	224	1	6/2012	6/2012	NUM
ap-1690	224	2	-20	-20	NUM
ap-1690	224	3	-15	-15	PUNCT
ap-1690	225	1	-10	-10	PUNCT
ap-1690	225	2	-5	-5	NOUN
ap-1690	226	1	0	0	NUM
ap-1690	226	2	5	5	NUM
ap-1690	226	3	10	10	NUM
ap-1690	226	4	15	15	NUM
ap-1690	226	5	20	20	NUM
ap-1690	226	6	0	0	NUM
ap-1690	226	7	0.5	0.5	NUM
ap-1690	226	8	1	1	NUM
ap-1690	226	9	1.5	1.5	NUM
ap-1690	226	10	2	2	NUM
ap-1690	226	11	h	h	NOUN
ap-1690	226	12	[	[	PUNCT
ap-1690	226	13	m	m	VERB
ap-1690	226	14	m	m	VERB
ap-1690	226	15	]	]	X
ap-1690	227	1	t[s	t[s	NUM
ap-1690	227	2	]	]	PUNCT
ap-1690	227	3	(	(	PUNCT
ap-1690	227	4	a	a	X
ap-1690	227	5	)	)	PUNCT
ap-1690	227	6	vertical	vertical	ADJ
ap-1690	227	7	displacement	displacement	NOUN
ap-1690	227	8	(	(	PUNCT
ap-1690	227	9	u∞	u∞	NOUN
ap-1690	227	10	=	=	SYM
ap-1690	227	11	5	5	NUM
ap-1690	227	12	m	m	PROPN
ap-1690	227	13	/	/	SYM
ap-1690	227	14	s	s	PROPN
ap-1690	227	15	)	)	PUNCT
ap-1690	228	1	-6	-6	INTJ
ap-1690	228	2	-4	-4	INTJ
ap-1690	229	1	-2	-2	INTJ
ap-1690	229	2	0	0	NUM
ap-1690	229	3	2	2	NUM
ap-1690	229	4	4	4	NUM
ap-1690	229	5	6	6	NUM
ap-1690	229	6	0	0	NUM
ap-1690	229	7	0.5	0.5	NUM
ap-1690	229	8	1	1	NUM
ap-1690	229	9	1.5	1.5	NUM
ap-1690	229	10	2	2	NUM
ap-1690	229	11	ϕ	ϕ	NOUN
ap-1690	229	12	[	[	PUNCT
ap-1690	229	13	de	de	X
ap-1690	229	14	g	g	NOUN
ap-1690	229	15	]	]	PUNCT
ap-1690	229	16	t[s	t[s	NUM
ap-1690	229	17	]	]	PUNCT
ap-1690	229	18	(	(	PUNCT
ap-1690	229	19	b	b	NOUN
ap-1690	229	20	)	)	PUNCT
ap-1690	229	21	angle	angle	NOUN
ap-1690	229	22	of	of	ADP
ap-1690	229	23	rotation	rotation	NOUN
ap-1690	229	24	(	(	PUNCT
ap-1690	229	25	u∞	u∞	NOUN
ap-1690	229	26	=	=	SYM
ap-1690	229	27	5	5	NUM
ap-1690	229	28	m	m	PROPN
ap-1690	229	29	/	/	SYM
ap-1690	229	30	s	s	PROPN
ap-1690	229	31	)	)	PUNCT
ap-1690	229	32	-20	-20	NUM
ap-1690	229	33	-15	-15	PUNCT
ap-1690	230	1	-10	-10	PUNCT
ap-1690	230	2	-5	-5	NOUN
ap-1690	231	1	0	0	NUM
ap-1690	231	2	5	5	NUM
ap-1690	231	3	10	10	NUM
ap-1690	231	4	15	15	NUM
ap-1690	231	5	20	20	NUM
ap-1690	231	6	0	0	NUM
ap-1690	231	7	0.5	0.5	NUM
ap-1690	231	8	1	1	NUM
ap-1690	231	9	1.5	1.5	NUM
ap-1690	231	10	2	2	NUM
ap-1690	231	11	h	h	NOUN
ap-1690	231	12	[	[	PUNCT
ap-1690	231	13	m	m	VERB
ap-1690	231	14	m	m	VERB
ap-1690	231	15	]	]	X
ap-1690	231	16	t[s	t[s	NUM
ap-1690	231	17	]	]	PUNCT
ap-1690	231	18	(	(	PUNCT
ap-1690	231	19	c	c	X
ap-1690	231	20	)	)	PUNCT
ap-1690	231	21	vertical	vertical	ADJ
ap-1690	231	22	displacement	displacement	NOUN
ap-1690	231	23	(	(	PUNCT
ap-1690	231	24	u∞	u∞	NOUN
ap-1690	231	25	=	=	SYM
ap-1690	231	26	10	10	NUM
ap-1690	231	27	m	m	PROPN
ap-1690	231	28	/	/	SYM
ap-1690	231	29	s	s	NOUN
ap-1690	231	30	)	)	PUNCT
ap-1690	232	1	-6	-6	INTJ
ap-1690	232	2	-4	-4	INTJ
ap-1690	233	1	-2	-2	INTJ
ap-1690	233	2	0	0	NUM
ap-1690	233	3	2	2	NUM
ap-1690	233	4	4	4	NUM
ap-1690	233	5	6	6	NUM
ap-1690	233	6	0	0	NUM
ap-1690	233	7	0.5	0.5	NUM
ap-1690	233	8	1	1	NUM
ap-1690	233	9	1.5	1.5	NUM
ap-1690	233	10	2	2	NUM
ap-1690	233	11	ϕ	ϕ	NOUN
ap-1690	233	12	[	[	PUNCT
ap-1690	233	13	de	de	X
ap-1690	233	14	g	g	NOUN
ap-1690	233	15	]	]	PUNCT
ap-1690	233	16	t[s	t[s	NUM
ap-1690	233	17	]	]	PUNCT
ap-1690	233	18	(	(	PUNCT
ap-1690	233	19	d	d	NOUN
ap-1690	233	20	)	)	PUNCT
ap-1690	233	21	angle	angle	NOUN
ap-1690	233	22	of	of	ADP
ap-1690	233	23	rotation	rotation	NOUN
ap-1690	233	24	(	(	PUNCT
ap-1690	233	25	u∞	u∞	NOUN
ap-1690	233	26	=	=	SYM
ap-1690	233	27	10	10	NUM
ap-1690	233	28	m	m	PROPN
ap-1690	233	29	/	/	SYM
ap-1690	233	30	s	s	NOUN
ap-1690	233	31	)	)	PUNCT
ap-1690	233	32	figure	figure	NOUN
ap-1690	233	33	3	3	NUM
ap-1690	233	34	:	:	PUNCT
ap-1690	233	35	vertical	vertical	ADJ
ap-1690	233	36	displacement	displacement	NOUN
ap-1690	233	37	h	h	NOUN
ap-1690	234	1	[	[	X
ap-1690	234	2	mm	mm	X
ap-1690	234	3	]	]	X
ap-1690	234	4	and	and	CCONJ
ap-1690	234	5	angle	angle	NOUN
ap-1690	234	6	of	of	ADP
ap-1690	234	7	rotation	rotation	NOUN
ap-1690	234	8	ϕ	ϕ	PROPN
ap-1690	234	9	[	[	X
ap-1690	234	10	°	°	X
ap-1690	234	11	]	]	X
ap-1690	234	12	in	in	ADP
ap-1690	234	13	dependence	dependence	NOUN
ap-1690	234	14	on	on	ADP
ap-1690	234	15	time	time	NOUN
ap-1690	234	16	t	t	PROPN
ap-1690	234	17	[	[	X
ap-1690	234	18	s	s	X
ap-1690	234	19	]	]	X
ap-1690	234	20	for	for	ADP
ap-1690	234	21	u∞	u∞	SYM
ap-1690	234	22	=	=	SYM
ap-1690	234	23	5	5	NUM
ap-1690	234	24	(	(	PUNCT
ap-1690	234	25	re	re	X
ap-1690	234	26	=	=	NOUN
ap-1690	234	27	105	105	NUM
ap-1690	234	28	,	,	PUNCT
ap-1690	234	29	above	above	ADV
ap-1690	234	30	)	)	PUNCT
ap-1690	234	31	and	and	CCONJ
ap-1690	234	32	10	10	NUM
ap-1690	234	33	m/s	m/s	PROPN
ap-1690	234	34	(	(	PUNCT
ap-1690	234	35	re	re	VERB
ap-1690	234	36	=	=	NOUN
ap-1690	234	37	2×	2×	NUM
ap-1690	234	38	105	105	NUM
ap-1690	234	39	,	,	PUNCT
ap-1690	234	40	below	below	ADV
ap-1690	234	41	)	)	PUNCT
ap-1690	234	42	.	.	PUNCT
ap-1690	235	1	solid	solid	ADJ
ap-1690	235	2	line	line	NOUN
ap-1690	235	3	—	—	PUNCT
ap-1690	235	4	fvm	fvm	ADJ
ap-1690	235	5	results	result	NOUN
ap-1690	235	6	,	,	PUNCT
ap-1690	235	7	dashed	dash	VERB
ap-1690	235	8	line	line	NOUN
ap-1690	235	9	—	—	PUNCT
ap-1690	235	10	fem	fem	NOUN
ap-1690	235	11	results	result	NOUN
ap-1690	235	12	.	.	PUNCT
ap-1690	236	1	-20	-20	PUNCT
ap-1690	236	2	-15	-15	PUNCT
ap-1690	237	1	-10	-10	PUNCT
ap-1690	237	2	-5	-5	NOUN
ap-1690	238	1	0	0	NUM
ap-1690	238	2	5	5	NUM
ap-1690	238	3	10	10	NUM
ap-1690	238	4	15	15	NUM
ap-1690	238	5	20	20	NUM
ap-1690	238	6	0	0	NUM
ap-1690	238	7	0.2	0.2	NUM
ap-1690	238	8	0.4	0.4	NUM
ap-1690	238	9	0.6	0.6	NUM
ap-1690	238	10	0.8	0.8	NUM
ap-1690	238	11	1	1	NUM
ap-1690	238	12	h	h	NOUN
ap-1690	238	13	[	[	X
ap-1690	238	14	m	m	VERB
ap-1690	238	15	m	m	VERB
ap-1690	238	16	]	]	X
ap-1690	238	17	t[s	t[s	NUM
ap-1690	238	18	]	]	PUNCT
ap-1690	238	19	(	(	PUNCT
ap-1690	238	20	a	a	X
ap-1690	238	21	)	)	PUNCT
ap-1690	238	22	vertical	vertical	ADJ
ap-1690	238	23	displacement	displacement	NOUN
ap-1690	238	24	(	(	PUNCT
ap-1690	238	25	u∞	u∞	NOUN
ap-1690	238	26	=	=	SYM
ap-1690	238	27	15	15	NUM
ap-1690	238	28	m	m	PROPN
ap-1690	238	29	/	/	SYM
ap-1690	238	30	s	s	NOUN
ap-1690	238	31	)	)	PUNCT
ap-1690	239	1	-6	-6	INTJ
ap-1690	239	2	-4	-4	INTJ
ap-1690	240	1	-2	-2	INTJ
ap-1690	240	2	0	0	NUM
ap-1690	240	3	2	2	NUM
ap-1690	240	4	4	4	NUM
ap-1690	240	5	6	6	NUM
ap-1690	240	6	0	0	NUM
ap-1690	240	7	0.2	0.2	NUM
ap-1690	240	8	0.4	0.4	NUM
ap-1690	240	9	0.6	0.6	NUM
ap-1690	240	10	0.8	0.8	NUM
ap-1690	240	11	1	1	NUM
ap-1690	240	12	ϕ	ϕ	X
ap-1690	240	13	[	[	PUNCT
ap-1690	240	14	de	de	X
ap-1690	240	15	g	g	NOUN
ap-1690	240	16	]	]	PUNCT
ap-1690	240	17	t[s	t[s	NUM
ap-1690	240	18	]	]	PUNCT
ap-1690	240	19	(	(	PUNCT
ap-1690	240	20	b	b	NOUN
ap-1690	240	21	)	)	PUNCT
ap-1690	240	22	angle	angle	NOUN
ap-1690	240	23	of	of	ADP
ap-1690	240	24	rotation	rotation	NOUN
ap-1690	240	25	(	(	PUNCT
ap-1690	240	26	u∞	u∞	NOUN
ap-1690	240	27	=	=	SYM
ap-1690	240	28	15	15	NUM
ap-1690	240	29	m	m	PROPN
ap-1690	240	30	/	/	SYM
ap-1690	240	31	s	s	NOUN
ap-1690	240	32	)	)	PUNCT
ap-1690	240	33	-20	-20	NUM
ap-1690	240	34	-15	-15	PUNCT
ap-1690	241	1	-10	-10	PUNCT
ap-1690	241	2	-5	-5	NOUN
ap-1690	242	1	0	0	NUM
ap-1690	242	2	5	5	NUM
ap-1690	242	3	10	10	NUM
ap-1690	242	4	15	15	NUM
ap-1690	242	5	20	20	NUM
ap-1690	242	6	0	0	NUM
ap-1690	242	7	0.2	0.2	NUM
ap-1690	242	8	0.4	0.4	NUM
ap-1690	242	9	0.6	0.6	NUM
ap-1690	242	10	0.8	0.8	NUM
ap-1690	242	11	1	1	NUM
ap-1690	242	12	h	h	NOUN
ap-1690	242	13	[	[	X
ap-1690	242	14	m	m	VERB
ap-1690	242	15	m	m	VERB
ap-1690	242	16	]	]	X
ap-1690	242	17	t[s	t[s	NUM
ap-1690	242	18	]	]	PUNCT
ap-1690	242	19	(	(	PUNCT
ap-1690	242	20	c	c	X
ap-1690	242	21	)	)	PUNCT
ap-1690	242	22	vertical	vertical	ADJ
ap-1690	242	23	displacement	displacement	NOUN
ap-1690	242	24	(	(	PUNCT
ap-1690	242	25	u∞	u∞	NOUN
ap-1690	242	26	=	=	SYM
ap-1690	242	27	20	20	NUM
ap-1690	242	28	m	m	PROPN
ap-1690	242	29	/	/	SYM
ap-1690	242	30	s	s	PART
ap-1690	242	31	)	)	PUNCT
ap-1690	243	1	-6	-6	INTJ
ap-1690	243	2	-4	-4	INTJ
ap-1690	244	1	-2	-2	INTJ
ap-1690	244	2	0	0	NUM
ap-1690	244	3	2	2	NUM
ap-1690	244	4	4	4	NUM
ap-1690	244	5	6	6	NUM
ap-1690	244	6	0	0	NUM
ap-1690	244	7	0.2	0.2	NUM
ap-1690	244	8	0.4	0.4	NUM
ap-1690	244	9	0.6	0.6	NUM
ap-1690	244	10	0.8	0.8	NUM
ap-1690	244	11	1	1	NUM
ap-1690	244	12	ϕ	ϕ	X
ap-1690	244	13	[	[	PUNCT
ap-1690	244	14	de	de	X
ap-1690	244	15	g	g	NOUN
ap-1690	244	16	]	]	PUNCT
ap-1690	244	17	t[s	t[s	NUM
ap-1690	244	18	]	]	PUNCT
ap-1690	244	19	(	(	PUNCT
ap-1690	244	20	d	d	NOUN
ap-1690	244	21	)	)	PUNCT
ap-1690	244	22	angle	angle	NOUN
ap-1690	244	23	of	of	ADP
ap-1690	244	24	rotation	rotation	NOUN
ap-1690	244	25	(	(	PUNCT
ap-1690	244	26	u∞	u∞	NOUN
ap-1690	244	27	=	=	SYM
ap-1690	245	1	20	20	NUM
ap-1690	245	2	m	m	PROPN
ap-1690	245	3	/	/	SYM
ap-1690	245	4	s	s	PART
ap-1690	245	5	)	)	PUNCT
ap-1690	245	6	figure	figure	NOUN
ap-1690	245	7	4	4	NUM
ap-1690	245	8	:	:	PUNCT
ap-1690	245	9	vertical	vertical	ADJ
ap-1690	245	10	displacement	displacement	NOUN
ap-1690	245	11	h	h	NOUN
ap-1690	246	1	[	[	X
ap-1690	246	2	mm	mm	X
ap-1690	246	3	]	]	X
ap-1690	246	4	and	and	CCONJ
ap-1690	246	5	angle	angle	NOUN
ap-1690	246	6	of	of	ADP
ap-1690	246	7	rotation	rotation	NOUN
ap-1690	246	8	ϕ	ϕ	PROPN
ap-1690	246	9	[	[	X
ap-1690	246	10	°	°	X
ap-1690	246	11	]	]	X
ap-1690	246	12	in	in	ADP
ap-1690	246	13	dependence	dependence	NOUN
ap-1690	246	14	on	on	ADP
ap-1690	246	15	time	time	NOUN
ap-1690	246	16	t	t	PROPN
ap-1690	246	17	[	[	X
ap-1690	246	18	s	s	X
ap-1690	246	19	]	]	X
ap-1690	246	20	for	for	ADP
ap-1690	246	21	u∞	u∞	SYM
ap-1690	246	22	=	=	SYM
ap-1690	246	23	15	15	NUM
ap-1690	246	24	(	(	PUNCT
ap-1690	246	25	re	re	X
ap-1690	246	26	=	=	PROPN
ap-1690	246	27	3×	3×	NUM
ap-1690	246	28	105	105	NUM
ap-1690	246	29	,	,	PUNCT
ap-1690	246	30	above	above	ADV
ap-1690	246	31	)	)	PUNCT
ap-1690	246	32	and	and	CCONJ
ap-1690	247	1	20	20	NUM
ap-1690	247	2	m/s	m/s	PROPN
ap-1690	247	3	(	(	PUNCT
ap-1690	247	4	re	re	NOUN
ap-1690	247	5	=	=	NOUN
ap-1690	247	6	4×	4×	NOUN
ap-1690	247	7	105	105	NUM
ap-1690	247	8	,	,	PUNCT
ap-1690	247	9	below	below	ADV
ap-1690	247	10	)	)	PUNCT
ap-1690	247	11	.	.	PUNCT
ap-1690	248	1	solid	solid	ADJ
ap-1690	248	2	line	line	NOUN
ap-1690	248	3	—	—	PUNCT
ap-1690	248	4	fvm	fvm	ADJ
ap-1690	248	5	results	result	NOUN
ap-1690	248	6	,	,	PUNCT
ap-1690	248	7	dashed	dash	VERB
ap-1690	248	8	line	line	NOUN
ap-1690	248	9	—	—	PUNCT
ap-1690	248	10	fem	fem	NOUN
ap-1690	248	11	results	result	NOUN
ap-1690	248	12	.	.	PUNCT
ap-1690	249	1	111	111	NUM
ap-1690	249	2	acta	acta	PROPN
ap-1690	249	3	polytechnica	polytechnica	PROPN
ap-1690	249	4	vol	vol	NOUN
ap-1690	249	5	.	.	PROPN
ap-1690	250	1	52	52	NUM
ap-1690	250	2	no	no	NOUN
ap-1690	250	3	.	.	PUNCT
ap-1690	251	1	6/2012	6/2012	NUM
ap-1690	251	2	-25	-25	NUM
ap-1690	251	3	-20	-20	NUM
ap-1690	251	4	-15	-15	PUNCT
ap-1690	252	1	-10	-10	PUNCT
ap-1690	252	2	-5	-5	NOUN
ap-1690	253	1	0	0	NUM
ap-1690	253	2	5	5	NUM
ap-1690	253	3	10	10	NUM
ap-1690	253	4	15	15	NUM
ap-1690	253	5	20	20	NUM
ap-1690	253	6	0	0	NUM
ap-1690	253	7	0.2	0.2	NUM
ap-1690	253	8	0.4	0.4	NUM
ap-1690	253	9	0.6	0.6	NUM
ap-1690	253	10	0.8	0.8	NUM
ap-1690	253	11	1	1	NUM
ap-1690	253	12	h	h	NOUN
ap-1690	253	13	[	[	X
ap-1690	253	14	m	m	VERB
ap-1690	253	15	m	m	VERB
ap-1690	253	16	]	]	X
ap-1690	253	17	t[s	t[s	NUM
ap-1690	253	18	]	]	PUNCT
ap-1690	253	19	(	(	PUNCT
ap-1690	253	20	a	a	X
ap-1690	253	21	)	)	PUNCT
ap-1690	253	22	vertical	vertical	ADJ
ap-1690	253	23	displacement	displacement	NOUN
ap-1690	253	24	(	(	PUNCT
ap-1690	253	25	u∞	u∞	NOUN
ap-1690	253	26	=	=	SYM
ap-1690	253	27	25	25	NUM
ap-1690	253	28	m	m	PROPN
ap-1690	253	29	/	/	SYM
ap-1690	253	30	s	s	NOUN
ap-1690	253	31	)	)	PUNCT
ap-1690	253	32	-4	-4	PUNCT
ap-1690	254	1	-2	-2	NOUN
ap-1690	254	2	0	0	NUM
ap-1690	254	3	2	2	NUM
ap-1690	254	4	4	4	NUM
ap-1690	254	5	6	6	NUM
ap-1690	254	6	0	0	NUM
ap-1690	254	7	0.2	0.2	NUM
ap-1690	254	8	0.4	0.4	NUM
ap-1690	254	9	0.6	0.6	NUM
ap-1690	254	10	0.8	0.8	NUM
ap-1690	254	11	1	1	NUM
ap-1690	254	12	ϕ	ϕ	X
ap-1690	254	13	[	[	PUNCT
ap-1690	254	14	de	de	X
ap-1690	254	15	g	g	NOUN
ap-1690	254	16	]	]	PUNCT
ap-1690	254	17	t[s	t[s	NUM
ap-1690	254	18	]	]	PUNCT
ap-1690	254	19	(	(	PUNCT
ap-1690	254	20	b	b	NOUN
ap-1690	254	21	)	)	PUNCT
ap-1690	254	22	angle	angle	NOUN
ap-1690	254	23	of	of	ADP
ap-1690	254	24	rotation	rotation	NOUN
ap-1690	254	25	(	(	PUNCT
ap-1690	254	26	u∞	u∞	NOUN
ap-1690	254	27	=	=	SYM
ap-1690	254	28	25	25	NUM
ap-1690	254	29	m	m	PROPN
ap-1690	254	30	/	/	SYM
ap-1690	254	31	s	s	PROPN
ap-1690	254	32	)	)	PUNCT
ap-1690	254	33	-30	-30	PUNCT
ap-1690	254	34	-25	-25	PROPN
ap-1690	254	35	-20	-20	NUM
ap-1690	254	36	-15	-15	PUNCT
ap-1690	254	37	-10	-10	PUNCT
ap-1690	255	1	-5	-5	PUNCT
ap-1690	255	2	0	0	NUM
ap-1690	256	1	5	5	NUM
ap-1690	256	2	0	0	NUM
ap-1690	256	3	0.2	0.2	NUM
ap-1690	256	4	0.4	0.4	NUM
ap-1690	256	5	0.6	0.6	NUM
ap-1690	256	6	0.8	0.8	NUM
ap-1690	256	7	1	1	NUM
ap-1690	256	8	h	h	NOUN
ap-1690	256	9	[	[	X
ap-1690	256	10	m	m	VERB
ap-1690	256	11	m	m	VERB
ap-1690	256	12	]	]	X
ap-1690	256	13	t[s	t[s	NUM
ap-1690	256	14	]	]	PUNCT
ap-1690	256	15	(	(	PUNCT
ap-1690	256	16	c	c	X
ap-1690	256	17	)	)	PUNCT
ap-1690	256	18	vertical	vertical	ADJ
ap-1690	256	19	displacement	displacement	NOUN
ap-1690	256	20	(	(	PUNCT
ap-1690	256	21	u∞	u∞	NOUN
ap-1690	256	22	=	=	SYM
ap-1690	256	23	35	35	NUM
ap-1690	256	24	m	m	NOUN
ap-1690	256	25	/	/	SYM
ap-1690	256	26	s	s	PROPN
ap-1690	256	27	)	)	PUNCT
ap-1690	257	1	-2	-2	NOUN
ap-1690	258	1	-1	-1	SYM
ap-1690	258	2	0	0	NUM
ap-1690	259	1	1	1	NUM
ap-1690	259	2	2	2	NUM
ap-1690	259	3	3	3	NUM
ap-1690	259	4	4	4	NUM
ap-1690	259	5	5	5	NUM
ap-1690	259	6	6	6	NUM
ap-1690	259	7	0	0	NUM
ap-1690	259	8	0.2	0.2	NUM
ap-1690	259	9	0.4	0.4	NUM
ap-1690	259	10	0.6	0.6	NUM
ap-1690	259	11	0.8	0.8	NUM
ap-1690	259	12	1	1	NUM
ap-1690	259	13	ϕ	ϕ	X
ap-1690	259	14	[	[	PUNCT
ap-1690	259	15	de	de	X
ap-1690	259	16	g	g	NOUN
ap-1690	259	17	]	]	PUNCT
ap-1690	259	18	t[s	t[s	NUM
ap-1690	259	19	]	]	PUNCT
ap-1690	259	20	(	(	PUNCT
ap-1690	259	21	d	d	NOUN
ap-1690	259	22	)	)	PUNCT
ap-1690	259	23	angle	angle	NOUN
ap-1690	259	24	of	of	ADP
ap-1690	259	25	rotation	rotation	NOUN
ap-1690	259	26	(	(	PUNCT
ap-1690	259	27	u∞	u∞	NOUN
ap-1690	259	28	=	=	SYM
ap-1690	259	29	35	35	NUM
ap-1690	259	30	m	m	NOUN
ap-1690	259	31	/	/	SYM
ap-1690	259	32	s	s	NOUN
ap-1690	259	33	)	)	PUNCT
ap-1690	259	34	figure	figure	NOUN
ap-1690	259	35	5	5	NUM
ap-1690	259	36	:	:	PUNCT
ap-1690	259	37	vertical	vertical	ADJ
ap-1690	259	38	displacement	displacement	NOUN
ap-1690	259	39	h	h	NOUN
ap-1690	260	1	[	[	X
ap-1690	260	2	mm	mm	X
ap-1690	260	3	]	]	X
ap-1690	260	4	and	and	CCONJ
ap-1690	260	5	angle	angle	NOUN
ap-1690	260	6	of	of	ADP
ap-1690	260	7	rotation	rotation	NOUN
ap-1690	260	8	ϕ	ϕ	PROPN
ap-1690	260	9	[	[	X
ap-1690	260	10	°	°	X
ap-1690	260	11	]	]	X
ap-1690	260	12	in	in	ADP
ap-1690	260	13	dependence	dependence	NOUN
ap-1690	260	14	on	on	ADP
ap-1690	260	15	time	time	NOUN
ap-1690	260	16	t	t	PROPN
ap-1690	260	17	[	[	X
ap-1690	260	18	s	s	X
ap-1690	260	19	]	]	X
ap-1690	260	20	for	for	ADP
ap-1690	260	21	u∞	u∞	SYM
ap-1690	260	22	=	=	SYM
ap-1690	260	23	25	25	NUM
ap-1690	260	24	(	(	PUNCT
ap-1690	260	25	re	re	ADJ
ap-1690	260	26	=	=	NOUN
ap-1690	260	27	5×	5×	PROPN
ap-1690	260	28	105	105	NUM
ap-1690	260	29	,	,	PUNCT
ap-1690	260	30	above	above	ADV
ap-1690	260	31	)	)	PUNCT
ap-1690	260	32	and	and	CCONJ
ap-1690	260	33	35	35	NUM
ap-1690	260	34	m/s	m/s	PROPN
ap-1690	260	35	(	(	PUNCT
ap-1690	260	36	re	re	NOUN
ap-1690	260	37	=	=	PROPN
ap-1690	260	38	7×	7×	NUM
ap-1690	260	39	105	105	NUM
ap-1690	260	40	,	,	PUNCT
ap-1690	260	41	below	below	ADV
ap-1690	260	42	)	)	PUNCT
ap-1690	260	43	.	.	PUNCT
ap-1690	261	1	solid	solid	ADJ
ap-1690	261	2	line	line	NOUN
ap-1690	261	3	—	—	PUNCT
ap-1690	261	4	fvm	fvm	ADJ
ap-1690	261	5	results	result	NOUN
ap-1690	261	6	,	,	PUNCT
ap-1690	261	7	dashed	dash	VERB
ap-1690	261	8	line	line	NOUN
ap-1690	261	9	—	—	PUNCT
ap-1690	261	10	fem	fem	NOUN
ap-1690	261	11	results	result	NOUN
ap-1690	261	12	.	.	PUNCT
ap-1690	262	1	-45	-45	PUNCT
ap-1690	263	1	-40	-40	PROPN
ap-1690	263	2	-35	-35	NUM
ap-1690	263	3	-30	-30	NUM
ap-1690	263	4	-25	-25	PROPN
ap-1690	264	1	-20	-20	NUM
ap-1690	264	2	0	0	NUM
ap-1690	265	1	0.2	0.2	NUM
ap-1690	265	2	0.4	0.4	NUM
ap-1690	265	3	0.6	0.6	NUM
ap-1690	265	4	0.8	0.8	NUM
ap-1690	265	5	1	1	NUM
ap-1690	265	6	h	h	NOUN
ap-1690	265	7	[	[	X
ap-1690	265	8	m	m	VERB
ap-1690	265	9	m	m	VERB
ap-1690	265	10	]	]	X
ap-1690	265	11	t[s	t[s	NUM
ap-1690	265	12	]	]	PUNCT
ap-1690	265	13	(	(	PUNCT
ap-1690	265	14	a	a	X
ap-1690	265	15	)	)	PUNCT
ap-1690	265	16	fvm	fvm	NOUN
ap-1690	265	17	-180	-180	PROPN
ap-1690	265	18	-160	-160	PROPN
ap-1690	265	19	-140	-140	PROPN
ap-1690	265	20	-120	-120	PROPN
ap-1690	265	21	-100	-100	PROPN
ap-1690	265	22	-80	-80	PUNCT
ap-1690	265	23	-60	-60	PROPN
ap-1690	265	24	-40	-40	PROPN
ap-1690	265	25	-20	-20	NUM
ap-1690	265	26	0	0	NUM
ap-1690	265	27	0	0	NUM
ap-1690	265	28	0.2	0.2	NUM
ap-1690	265	29	0.4	0.4	NUM
ap-1690	265	30	0.6	0.6	NUM
ap-1690	265	31	0.8	0.8	NUM
ap-1690	265	32	1	1	NUM
ap-1690	265	33	h	h	NOUN
ap-1690	265	34	[	[	X
ap-1690	265	35	m	m	VERB
ap-1690	265	36	m	m	VERB
ap-1690	265	37	]	]	X
ap-1690	265	38	t[s	t[s	NUM
ap-1690	265	39	]	]	PUNCT
ap-1690	265	40	(	(	PUNCT
ap-1690	265	41	b	b	X
ap-1690	265	42	)	)	PUNCT
ap-1690	265	43	fem	fem	NOUN
ap-1690	265	44	2	2	NUM
ap-1690	265	45	3	3	NUM
ap-1690	265	46	4	4	NUM
ap-1690	265	47	5	5	NUM
ap-1690	265	48	6	6	NUM
ap-1690	265	49	0	0	NUM
ap-1690	265	50	0.2	0.2	NUM
ap-1690	265	51	0.4	0.4	NUM
ap-1690	265	52	0.6	0.6	NUM
ap-1690	265	53	0.8	0.8	NUM
ap-1690	265	54	1	1	NUM
ap-1690	265	55	ϕ	ϕ	X
ap-1690	265	56	[	[	PUNCT
ap-1690	265	57	de	de	X
ap-1690	265	58	g	g	NOUN
ap-1690	265	59	]	]	PUNCT
ap-1690	265	60	t[s	t[s	NUM
ap-1690	265	61	]	]	PUNCT
ap-1690	265	62	(	(	PUNCT
ap-1690	265	63	c	c	NOUN
ap-1690	265	64	)	)	PUNCT
ap-1690	265	65	fvm	fvm	ADJ
ap-1690	265	66	-2	-2	NOUN
ap-1690	265	67	0	0	NUM
ap-1690	265	68	2	2	NUM
ap-1690	265	69	4	4	NUM
ap-1690	265	70	6	6	NUM
ap-1690	265	71	8	8	NUM
ap-1690	265	72	10	10	NUM
ap-1690	265	73	12	12	NUM
ap-1690	265	74	14	14	NUM
ap-1690	265	75	0	0	NUM
ap-1690	265	76	0.2	0.2	NUM
ap-1690	265	77	0.4	0.4	NUM
ap-1690	265	78	0.6	0.6	NUM
ap-1690	265	79	0.8	0.8	NUM
ap-1690	265	80	1	1	NUM
ap-1690	265	81	ϕ	ϕ	X
ap-1690	265	82	[	[	PUNCT
ap-1690	265	83	de	de	X
ap-1690	265	84	g	g	NOUN
ap-1690	265	85	]	]	PUNCT
ap-1690	265	86	t[s	t[s	NUM
ap-1690	265	87	]	]	PUNCT
ap-1690	265	88	(	(	PUNCT
ap-1690	265	89	d	d	X
ap-1690	265	90	)	)	PUNCT
ap-1690	265	91	fem	fem	NOUN
ap-1690	265	92	figure	figure	NOUN
ap-1690	265	93	6	6	NUM
ap-1690	265	94	:	:	PUNCT
ap-1690	265	95	vertical	vertical	ADJ
ap-1690	265	96	displacement	displacement	NOUN
ap-1690	265	97	h	h	NOUN
ap-1690	266	1	[	[	X
ap-1690	266	2	mm	mm	X
ap-1690	266	3	]	]	X
ap-1690	266	4	(	(	PUNCT
ap-1690	266	5	above	above	ADV
ap-1690	266	6	)	)	PUNCT
ap-1690	266	7	and	and	CCONJ
ap-1690	266	8	angle	angle	NOUN
ap-1690	266	9	of	of	ADP
ap-1690	266	10	rotation	rotation	NOUN
ap-1690	266	11	ϕ	ϕ	PROPN
ap-1690	267	1	[	[	X
ap-1690	267	2	°	°	X
ap-1690	267	3	]	]	X
ap-1690	267	4	(	(	PUNCT
ap-1690	267	5	below	below	ADV
ap-1690	267	6	)	)	PUNCT
ap-1690	267	7	in	in	ADP
ap-1690	267	8	dependence	dependence	NOUN
ap-1690	267	9	on	on	ADP
ap-1690	267	10	time	time	NOUN
ap-1690	267	11	t	t	PROPN
ap-1690	267	12	[	[	X
ap-1690	267	13	s	s	X
ap-1690	267	14	]	]	X
ap-1690	267	15	for	for	ADP
ap-1690	267	16	u∞	u∞	SYM
ap-1690	267	17	=	=	SYM
ap-1690	267	18	40	40	NUM
ap-1690	267	19	m/s	m/s	PROPN
ap-1690	267	20	(	(	PUNCT
ap-1690	267	21	re	re	VERB
ap-1690	267	22	=	=	PROPN
ap-1690	267	23	8×	8×	NUM
ap-1690	267	24	105	105	NUM
ap-1690	267	25	)	)	PUNCT
ap-1690	267	26	.	.	PUNCT
ap-1690	268	1	112	112	NUM
ap-1690	268	2	acta	acta	PROPN
ap-1690	268	3	polytechnica	polytechnica	PROPN
ap-1690	268	4	vol	vol	NOUN
ap-1690	268	5	.	.	PROPN
ap-1690	269	1	52	52	NUM
ap-1690	269	2	no	no	NOUN
ap-1690	269	3	.	.	PUNCT
ap-1690	270	1	6/2012	6/2012	NUM
ap-1690	270	2	t[s	t[s	NUM
ap-1690	270	3	]	]	X
ap-1690	270	4	h	h	NOUN
ap-1690	270	5	[	[	PUNCT
ap-1690	270	6	m	m	VERB
ap-1690	270	7	m	m	VERB
ap-1690	270	8	]	]	X
ap-1690	270	9	0	0	NUM
ap-1690	271	1	0.2	0.2	NUM
ap-1690	271	2	0.4	0.4	NUM
ap-1690	271	3	0.6	0.6	NUM
ap-1690	271	4	0.8	0.8	NUM
ap-1690	271	5	1	1	NUM
ap-1690	271	6	-70	-70	NUM
ap-1690	271	7	-60	-60	NUM
ap-1690	271	8	-50	-50	PUNCT
ap-1690	271	9	-40	-40	PROPN
ap-1690	271	10	-30	-30	NUM
ap-1690	271	11	-20	-20	NUM
ap-1690	271	12	-10	-10	PUNCT
ap-1690	271	13	0	0	NUM
ap-1690	271	14	10	10	NUM
ap-1690	271	15	(	(	PUNCT
ap-1690	271	16	a	a	PRON
ap-1690	271	17	)	)	PUNCT
ap-1690	271	18	angle	angle	NOUN
ap-1690	271	19	of	of	ADP
ap-1690	271	20	rotation	rotation	NOUN
ap-1690	271	21	t[s	t[s	NUM
ap-1690	271	22	]	]	PUNCT
ap-1690	272	1	[	[	X
ap-1690	272	2	d	d	X
ap-1690	272	3	eg	eg	NOUN
ap-1690	272	4	]	]	PUNCT
ap-1690	272	5	0	0	NUM
ap-1690	272	6	0.2	0.2	NUM
ap-1690	272	7	0.4	0.4	NUM
ap-1690	272	8	0.6	0.6	NUM
ap-1690	272	9	0.8	0.8	NUM
ap-1690	272	10	1	1	NUM
ap-1690	272	11	-4	-4	INTJ
ap-1690	272	12	-2	-2	NOUN
ap-1690	272	13	0	0	NUM
ap-1690	272	14	2	2	NUM
ap-1690	272	15	4	4	NUM
ap-1690	272	16	6	6	NUM
ap-1690	272	17	8	8	NUM
ap-1690	272	18	10	10	NUM
ap-1690	272	19	ϕ	ϕ	X
ap-1690	272	20	(	(	PUNCT
ap-1690	272	21	b	b	NOUN
ap-1690	272	22	)	)	PUNCT
ap-1690	272	23	vertical	vertical	ADJ
ap-1690	272	24	displacement	displacement	ADJ
ap-1690	272	25	figure	figure	NOUN
ap-1690	272	26	7	7	NUM
ap-1690	272	27	:	:	PUNCT
ap-1690	272	28	vertical	vertical	ADJ
ap-1690	272	29	displacement	displacement	NOUN
ap-1690	272	30	h	h	NOUN
ap-1690	273	1	[	[	X
ap-1690	273	2	mm	mm	X
ap-1690	273	3	]	]	X
ap-1690	273	4	and	and	CCONJ
ap-1690	273	5	angle	angle	NOUN
ap-1690	273	6	of	of	ADP
ap-1690	273	7	rotation	rotation	NOUN
ap-1690	273	8	ϕ	ϕ	PROPN
ap-1690	273	9	[	[	X
ap-1690	273	10	°	°	X
ap-1690	273	11	]	]	X
ap-1690	273	12	in	in	ADP
ap-1690	273	13	dependence	dependence	NOUN
ap-1690	273	14	on	on	ADP
ap-1690	273	15	time	time	NOUN
ap-1690	273	16	t	t	PROPN
ap-1690	273	17	[	[	X
ap-1690	273	18	s	s	X
ap-1690	273	19	]	]	X
ap-1690	273	20	for	for	ADP
ap-1690	273	21	u∞	u∞	PROPN
ap-1690	273	22	=	=	SYM
ap-1690	273	23	42.5	42.5	NUM
ap-1690	273	24	m/s	m/s	NOUN
ap-1690	273	25	(	(	PUNCT
ap-1690	273	26	re	re	ADP
ap-1690	273	27	=	=	NOUN
ap-1690	273	28	8.5×	8.5×	NUM
ap-1690	273	29	105	105	NUM
ap-1690	273	30	)	)	PUNCT
ap-1690	273	31	computed	compute	VERB
ap-1690	273	32	using	use	VERB
ap-1690	273	33	fvm	fvm	ADJ
ap-1690	273	34	.	.	PUNCT
ap-1690	273	35	0	0	NUM
ap-1690	273	36	0.5	0.5	NUM
ap-1690	273	37	1	1	NUM
ap-1690	273	38	1.5	1.5	NUM
ap-1690	273	39	2	2	NUM
ap-1690	273	40	2.5	2.5	NUM
ap-1690	273	41	0	0	NUM
ap-1690	273	42	5	5	NUM
ap-1690	273	43	10	10	NUM
ap-1690	273	44	15	15	NUM
ap-1690	273	45	20	20	NUM
ap-1690	273	46	|g	|g	NOUN
ap-1690	273	47	(	(	PUNCT
ap-1690	273	48	h	h	NOUN
ap-1690	273	49	)	)	PUNCT
ap-1690	273	50	|	|	ADV
ap-1690	273	51	frequency	frequency	NOUN
ap-1690	273	52	[	[	X
ap-1690	273	53	hz	hz	X
ap-1690	273	54	]	]	X
ap-1690	273	55	(	(	PUNCT
ap-1690	273	56	a	a	PRON
ap-1690	273	57	)	)	PUNCT
ap-1690	273	58	angle	angle	NOUN
ap-1690	273	59	of	of	ADP
ap-1690	273	60	rotation	rotation	NOUN
ap-1690	273	61	0	0	NUM
ap-1690	273	62	0.15	0.15	NUM
ap-1690	273	63	0.3	0.3	NUM
ap-1690	273	64	0.45	0.45	NUM
ap-1690	273	65	0	0	NUM
ap-1690	273	66	5	5	NUM
ap-1690	273	67	10	10	NUM
ap-1690	273	68	15	15	NUM
ap-1690	273	69	20	20	NUM
ap-1690	273	70	|g	|g	NOUN
ap-1690	273	71	(	(	PUNCT
ap-1690	273	72	ϕ	ϕ	NOUN
ap-1690	273	73	)	)	PUNCT
ap-1690	273	74	|	|	ADV
ap-1690	273	75	frequency	frequency	NOUN
ap-1690	274	1	[	[	X
ap-1690	274	2	hz	hz	X
ap-1690	274	3	]	]	X
ap-1690	274	4	(	(	PUNCT
ap-1690	274	5	b	b	NOUN
ap-1690	274	6	)	)	PUNCT
ap-1690	274	7	vertical	vertical	ADJ
ap-1690	274	8	displacement	displacement	NOUN
ap-1690	274	9	0	0	NUM
ap-1690	274	10	0.5	0.5	NUM
ap-1690	274	11	1	1	NUM
ap-1690	274	12	1.5	1.5	NUM
ap-1690	274	13	2	2	NUM
ap-1690	274	14	2.5	2.5	NUM
ap-1690	274	15	0	0	NUM
ap-1690	274	16	5	5	NUM
ap-1690	274	17	10	10	NUM
ap-1690	274	18	15	15	NUM
ap-1690	274	19	20	20	NUM
ap-1690	274	20	|g	|g	NOUN
ap-1690	274	21	(	(	PUNCT
ap-1690	274	22	h	h	NOUN
ap-1690	274	23	)	)	PUNCT
ap-1690	274	24	|	|	ADV
ap-1690	274	25	frequency	frequency	NOUN
ap-1690	274	26	[	[	X
ap-1690	274	27	hz	hz	X
ap-1690	274	28	]	]	X
ap-1690	274	29	(	(	PUNCT
ap-1690	274	30	c	c	NOUN
ap-1690	274	31	)	)	PUNCT
ap-1690	274	32	angle	angle	NOUN
ap-1690	274	33	of	of	ADP
ap-1690	274	34	rotation	rotation	NOUN
ap-1690	274	35	0	0	NUM
ap-1690	274	36	0.05	0.05	NUM
ap-1690	274	37	0.1	0.1	NUM
ap-1690	274	38	0.15	0.15	NUM
ap-1690	274	39	0.2	0.2	NUM
ap-1690	274	40	0.25	0.25	NUM
ap-1690	274	41	0.3	0.3	NUM
ap-1690	274	42	0.35	0.35	NUM
ap-1690	274	43	0.4	0.4	NUM
ap-1690	274	44	0	0	NUM
ap-1690	274	45	5	5	NUM
ap-1690	274	46	10	10	NUM
ap-1690	274	47	15	15	NUM
ap-1690	274	48	20	20	NUM
ap-1690	274	49	|g	|g	NOUN
ap-1690	274	50	(	(	PUNCT
ap-1690	274	51	ϕ	ϕ	NOUN
ap-1690	274	52	)	)	PUNCT
ap-1690	274	53	|	|	ADV
ap-1690	274	54	frequency	frequency	NOUN
ap-1690	274	55	[	[	X
ap-1690	274	56	hz	hz	X
ap-1690	274	57	]	]	X
ap-1690	274	58	(	(	PUNCT
ap-1690	274	59	d	d	X
ap-1690	274	60	)	)	PUNCT
ap-1690	274	61	vertical	vertical	ADJ
ap-1690	274	62	displacement	displacement	ADJ
ap-1690	274	63	figure	figure	NOUN
ap-1690	274	64	8	8	NUM
ap-1690	274	65	:	:	PUNCT
ap-1690	274	66	frequency	frequency	NOUN
ap-1690	274	67	spectrum	spectrum	NOUN
ap-1690	274	68	analysis	analysis	NOUN
ap-1690	274	69	of	of	ADP
ap-1690	274	70	vertical	vertical	ADJ
ap-1690	274	71	displacement	displacement	NOUN
ap-1690	274	72	h	h	NOUN
ap-1690	275	1	[	[	X
ap-1690	275	2	mm	mm	X
ap-1690	275	3	]	]	X
ap-1690	275	4	and	and	CCONJ
ap-1690	275	5	angle	angle	NOUN
ap-1690	275	6	of	of	ADP
ap-1690	275	7	rotation	rotation	NOUN
ap-1690	275	8	ϕ	ϕ	PROPN
ap-1690	275	9	[	[	X
ap-1690	275	10	°	°	ADP
ap-1690	275	11	]	]	X
ap-1690	275	12	signals	signal	NOUN
ap-1690	275	13	for	for	ADP
ap-1690	275	14	u∞	u∞	SYM
ap-1690	275	15	=	=	SYM
ap-1690	275	16	5	5	NUM
ap-1690	275	17	(	(	PUNCT
ap-1690	275	18	above	above	ADV
ap-1690	275	19	)	)	PUNCT
ap-1690	275	20	and	and	CCONJ
ap-1690	275	21	10	10	NUM
ap-1690	275	22	m/s	m/s	PROPN
ap-1690	275	23	(	(	PUNCT
ap-1690	275	24	below	below	ADV
ap-1690	275	25	)	)	PUNCT
ap-1690	275	26	.	.	PUNCT
ap-1690	276	1	solid	solid	ADJ
ap-1690	276	2	line	line	NOUN
ap-1690	276	3	—	—	PUNCT
ap-1690	276	4	fvm	fvm	ADJ
ap-1690	276	5	results	result	NOUN
ap-1690	276	6	,	,	PUNCT
ap-1690	276	7	dashed	dash	VERB
ap-1690	276	8	line	line	NOUN
ap-1690	276	9	—	—	PUNCT
ap-1690	276	10	fem	fem	NOUN
ap-1690	276	11	results	result	NOUN
ap-1690	276	12	.	.	PUNCT
ap-1690	277	1	113	113	NUM
ap-1690	277	2	acta	acta	PROPN
ap-1690	277	3	polytechnica	polytechnica	PROPN
ap-1690	277	4	vol	vol	NOUN
ap-1690	277	5	.	.	PROPN
ap-1690	278	1	52	52	NUM
ap-1690	278	2	no	no	NOUN
ap-1690	278	3	.	.	PUNCT
ap-1690	279	1	6/2012	6/2012	NUM
ap-1690	279	2	0	0	NUM
ap-1690	279	3	0.5	0.5	NUM
ap-1690	279	4	1	1	NUM
ap-1690	279	5	1.5	1.5	NUM
ap-1690	279	6	2	2	NUM
ap-1690	279	7	2.5	2.5	NUM
ap-1690	279	8	0	0	NUM
ap-1690	279	9	5	5	NUM
ap-1690	279	10	10	10	NUM
ap-1690	279	11	15	15	NUM
ap-1690	279	12	20	20	NUM
ap-1690	279	13	|g	|g	NOUN
ap-1690	279	14	(	(	PUNCT
ap-1690	279	15	h	h	NOUN
ap-1690	279	16	)	)	PUNCT
ap-1690	279	17	|	|	ADV
ap-1690	279	18	frequency	frequency	NOUN
ap-1690	279	19	[	[	X
ap-1690	279	20	hz	hz	X
ap-1690	279	21	]	]	X
ap-1690	279	22	(	(	PUNCT
ap-1690	279	23	a	a	PRON
ap-1690	279	24	)	)	PUNCT
ap-1690	279	25	angle	angle	NOUN
ap-1690	279	26	of	of	ADP
ap-1690	279	27	rotation	rotation	NOUN
ap-1690	279	28	0	0	NUM
ap-1690	279	29	0.15	0.15	NUM
ap-1690	279	30	0.3	0.3	NUM
ap-1690	279	31	0.45	0.45	NUM
ap-1690	279	32	0	0	NUM
ap-1690	279	33	5	5	NUM
ap-1690	279	34	10	10	NUM
ap-1690	279	35	15	15	NUM
ap-1690	279	36	20	20	NUM
ap-1690	279	37	|g	|g	NOUN
ap-1690	279	38	(	(	PUNCT
ap-1690	279	39	ϕ	ϕ	NOUN
ap-1690	279	40	)	)	PUNCT
ap-1690	279	41	|	|	ADV
ap-1690	279	42	frequency	frequency	NOUN
ap-1690	279	43	[	[	X
ap-1690	279	44	hz	hz	X
ap-1690	279	45	]	]	X
ap-1690	279	46	(	(	PUNCT
ap-1690	279	47	b	b	NOUN
ap-1690	279	48	)	)	PUNCT
ap-1690	279	49	vertical	vertical	ADJ
ap-1690	279	50	displacement	displacement	NOUN
ap-1690	279	51	0	0	NUM
ap-1690	279	52	0.2	0.2	NUM
ap-1690	279	53	0.4	0.4	NUM
ap-1690	279	54	0.6	0.6	NUM
ap-1690	279	55	0.8	0.8	NUM
ap-1690	279	56	1	1	NUM
ap-1690	279	57	1.2	1.2	NUM
ap-1690	279	58	1.4	1.4	NUM
ap-1690	279	59	1.6	1.6	NUM
ap-1690	279	60	1.8	1.8	NUM
ap-1690	279	61	0	0	NUM
ap-1690	279	62	5	5	NUM
ap-1690	279	63	10	10	NUM
ap-1690	279	64	15	15	NUM
ap-1690	279	65	20	20	NUM
ap-1690	279	66	|g	|g	NOUN
ap-1690	279	67	(	(	PUNCT
ap-1690	279	68	h	h	NOUN
ap-1690	279	69	)	)	PUNCT
ap-1690	279	70	|	|	ADV
ap-1690	279	71	frequency	frequency	NOUN
ap-1690	279	72	[	[	X
ap-1690	279	73	hz	hz	X
ap-1690	279	74	]	]	X
ap-1690	279	75	(	(	PUNCT
ap-1690	279	76	c	c	NOUN
ap-1690	279	77	)	)	PUNCT
ap-1690	279	78	angle	angle	NOUN
ap-1690	279	79	of	of	ADP
ap-1690	279	80	rotation	rotation	NOUN
ap-1690	279	81	0	0	NUM
ap-1690	279	82	0.05	0.05	NUM
ap-1690	279	83	0.1	0.1	NUM
ap-1690	279	84	0.15	0.15	NUM
ap-1690	279	85	0.2	0.2	NUM
ap-1690	279	86	0.25	0.25	NUM
ap-1690	279	87	0.3	0.3	NUM
ap-1690	279	88	0.35	0.35	NUM
ap-1690	279	89	0.4	0.4	NUM
ap-1690	279	90	0.45	0.45	NUM
ap-1690	279	91	0	0	NUM
ap-1690	279	92	5	5	NUM
ap-1690	279	93	10	10	NUM
ap-1690	279	94	15	15	NUM
ap-1690	279	95	20	20	NUM
ap-1690	279	96	|g	|g	NOUN
ap-1690	279	97	(	(	PUNCT
ap-1690	279	98	ϕ	ϕ	NOUN
ap-1690	279	99	)	)	PUNCT
ap-1690	279	100	|	|	ADV
ap-1690	279	101	frequency	frequency	NOUN
ap-1690	279	102	[	[	X
ap-1690	279	103	hz	hz	X
ap-1690	279	104	]	]	X
ap-1690	279	105	(	(	PUNCT
ap-1690	279	106	d	d	X
ap-1690	279	107	)	)	PUNCT
ap-1690	279	108	vertical	vertical	ADJ
ap-1690	279	109	displacement	displacement	ADJ
ap-1690	279	110	figure	figure	NOUN
ap-1690	279	111	9	9	NUM
ap-1690	279	112	:	:	PUNCT
ap-1690	279	113	frequency	frequency	NOUN
ap-1690	279	114	spectrum	spectrum	NOUN
ap-1690	279	115	analysis	analysis	NOUN
ap-1690	279	116	of	of	ADP
ap-1690	279	117	vertical	vertical	ADJ
ap-1690	279	118	displacement	displacement	NOUN
ap-1690	279	119	h	h	NOUN
ap-1690	280	1	[	[	X
ap-1690	280	2	mm	mm	X
ap-1690	280	3	]	]	X
ap-1690	280	4	and	and	CCONJ
ap-1690	280	5	angle	angle	NOUN
ap-1690	280	6	of	of	ADP
ap-1690	280	7	rotation	rotation	NOUN
ap-1690	280	8	ϕ	ϕ	PROPN
ap-1690	280	9	[	[	X
ap-1690	280	10	°	°	ADP
ap-1690	280	11	]	]	X
ap-1690	280	12	signals	signal	NOUN
ap-1690	280	13	for	for	ADP
ap-1690	280	14	u∞	u∞	NOUN
ap-1690	280	15	=	=	SYM
ap-1690	280	16	15	15	NUM
ap-1690	280	17	(	(	PUNCT
ap-1690	280	18	above	above	ADV
ap-1690	280	19	)	)	PUNCT
ap-1690	280	20	and	and	CCONJ
ap-1690	280	21	20	20	NUM
ap-1690	280	22	m/s	m/s	PROPN
ap-1690	280	23	(	(	PUNCT
ap-1690	280	24	below	below	ADV
ap-1690	280	25	)	)	PUNCT
ap-1690	280	26	.	.	PUNCT
ap-1690	281	1	solid	solid	ADJ
ap-1690	281	2	line	line	NOUN
ap-1690	281	3	—	—	PUNCT
ap-1690	281	4	fvm	fvm	ADJ
ap-1690	281	5	results	result	NOUN
ap-1690	281	6	,	,	PUNCT
ap-1690	281	7	dashed	dash	VERB
ap-1690	281	8	line	line	NOUN
ap-1690	281	9	—	—	PUNCT
ap-1690	281	10	fem	fem	NOUN
ap-1690	281	11	results	result	NOUN
ap-1690	281	12	.	.	PUNCT
ap-1690	282	1	0	0	NUM
ap-1690	282	2	0.5	0.5	NUM
ap-1690	282	3	1	1	NUM
ap-1690	282	4	1.5	1.5	NUM
ap-1690	282	5	2	2	NUM
ap-1690	282	6	0	0	NUM
ap-1690	282	7	5	5	NUM
ap-1690	282	8	10	10	NUM
ap-1690	282	9	15	15	NUM
ap-1690	282	10	20	20	NUM
ap-1690	282	11	|g	|g	NOUN
ap-1690	282	12	(	(	PUNCT
ap-1690	282	13	h	h	NOUN
ap-1690	282	14	)	)	PUNCT
ap-1690	282	15	|	|	ADV
ap-1690	282	16	frequency	frequency	NOUN
ap-1690	282	17	[	[	X
ap-1690	282	18	hz	hz	X
ap-1690	282	19	]	]	X
ap-1690	282	20	(	(	PUNCT
ap-1690	282	21	a	a	PRON
ap-1690	282	22	)	)	PUNCT
ap-1690	282	23	angle	angle	NOUN
ap-1690	282	24	of	of	ADP
ap-1690	282	25	rotation	rotation	NOUN
ap-1690	282	26	0	0	NUM
ap-1690	282	27	0.15	0.15	NUM
ap-1690	282	28	0.3	0.3	NUM
ap-1690	282	29	0.45	0.45	NUM
ap-1690	282	30	0	0	NUM
ap-1690	282	31	5	5	NUM
ap-1690	282	32	10	10	NUM
ap-1690	282	33	15	15	NUM
ap-1690	282	34	20	20	NUM
ap-1690	282	35	|g	|g	NOUN
ap-1690	282	36	(	(	PUNCT
ap-1690	282	37	ϕ	ϕ	NOUN
ap-1690	282	38	)	)	PUNCT
ap-1690	282	39	|	|	ADV
ap-1690	282	40	frequency	frequency	NOUN
ap-1690	282	41	[	[	X
ap-1690	282	42	hz	hz	X
ap-1690	282	43	]	]	X
ap-1690	282	44	(	(	PUNCT
ap-1690	282	45	b	b	NOUN
ap-1690	282	46	)	)	PUNCT
ap-1690	282	47	vertical	vertical	ADJ
ap-1690	282	48	displacement	displacement	ADJ
ap-1690	282	49	figure	figure	NOUN
ap-1690	282	50	10	10	NUM
ap-1690	282	51	:	:	PUNCT
ap-1690	282	52	frequency	frequency	NOUN
ap-1690	282	53	spectrum	spectrum	NOUN
ap-1690	282	54	analysis	analysis	NOUN
ap-1690	282	55	of	of	ADP
ap-1690	282	56	vertical	vertical	ADJ
ap-1690	282	57	displacement	displacement	NOUN
ap-1690	282	58	h	h	NOUN
ap-1690	283	1	[	[	X
ap-1690	283	2	mm	mm	X
ap-1690	283	3	]	]	X
ap-1690	283	4	and	and	CCONJ
ap-1690	283	5	angle	angle	NOUN
ap-1690	283	6	of	of	ADP
ap-1690	283	7	rotation	rotation	NOUN
ap-1690	283	8	ϕ	ϕ	PROPN
ap-1690	283	9	[	[	X
ap-1690	283	10	°	°	ADP
ap-1690	283	11	]	]	X
ap-1690	283	12	signals	signal	NOUN
ap-1690	283	13	for	for	ADP
ap-1690	283	14	u∞	u∞	SYM
ap-1690	283	15	=	=	SYM
ap-1690	283	16	25	25	NUM
ap-1690	283	17	m/s	m/s	PROPN
ap-1690	283	18	.	.	PUNCT
ap-1690	283	19	solid	solid	ADJ
ap-1690	283	20	line	line	NOUN
ap-1690	283	21	—	—	PUNCT
ap-1690	283	22	fvm	fvm	ADJ
ap-1690	283	23	results	result	NOUN
ap-1690	283	24	,	,	PUNCT
ap-1690	283	25	dashed	dash	VERB
ap-1690	283	26	line	line	NOUN
ap-1690	283	27	—	—	PUNCT
ap-1690	283	28	fem	fem	NOUN
ap-1690	283	29	results	result	NOUN
ap-1690	283	30	.	.	PUNCT
ap-1690	284	1	114	114	NUM
ap-1690	284	2	acta	acta	PROPN
ap-1690	284	3	polytechnica	polytechnica	PROPN
ap-1690	284	4	vol	vol	NOUN
ap-1690	284	5	.	.	PROPN
ap-1690	285	1	52	52	NUM
ap-1690	285	2	no	no	NOUN
ap-1690	285	3	.	.	PUNCT
ap-1690	286	1	6/2012	6/2012	NUM
ap-1690	286	2	references	reference	NOUN
ap-1690	286	3	[	[	X
ap-1690	286	4	1	1	NUM
ap-1690	286	5	]	]	PUNCT
ap-1690	286	6	bisplinghoff	bisplinghoff	PROPN
ap-1690	286	7	r.	r.	PROPN
ap-1690	286	8	l.	l.	PROPN
ap-1690	286	9	,	,	PUNCT
ap-1690	286	10	ashley	ashley	PROPN
ap-1690	286	11	h.	h.	PROPN
ap-1690	286	12	,	,	PUNCT
ap-1690	286	13	halfman	halfman	PROPN
ap-1690	286	14	r.	r.	PROPN
ap-1690	286	15	l.	l.	PROPN
ap-1690	286	16	:	:	PUNCT
ap-1690	286	17	aeroelasticity	aeroelasticity	NOUN
ap-1690	286	18	.	.	PUNCT
ap-1690	287	1	new	new	PROPN
ap-1690	287	2	york	york	PROPN
ap-1690	287	3	:	:	PUNCT
ap-1690	287	4	dover	dover	PROPN
ap-1690	287	5	,	,	PUNCT
ap-1690	287	6	1996	1996	NUM
ap-1690	287	7	.	.	PUNCT
ap-1690	288	1	[	[	X
ap-1690	288	2	2	2	NUM
ap-1690	288	3	]	]	PUNCT
ap-1690	288	4	bruneau	bruneau	PROPN
ap-1690	288	5	ch.-h	ch.-h	PROPN
ap-1690	288	6	.	.	PUNCT
ap-1690	288	7	,	,	PUNCT
ap-1690	288	8	fabrie	fabrie	ADJ
ap-1690	288	9	p.	p.	NOUN
ap-1690	288	10	:	:	PUNCT
ap-1690	288	11	effective	effective	ADJ
ap-1690	288	12	downstream	downstream	ADJ
ap-1690	288	13	boundary	boundary	ADJ
ap-1690	288	14	conditions	condition	NOUN
ap-1690	288	15	for	for	ADP
ap-1690	288	16	incompressible	incompressible	ADJ
ap-1690	288	17	navierstokes	navierstoke	NOUN
ap-1690	288	18	equations	equation	NOUN
ap-1690	288	19	,	,	PUNCT
ap-1690	288	20	int	int	NOUN
ap-1690	288	21	.	.	PUNCT
ap-1690	289	1	j.	j.	PROPN
ap-1690	289	2	numer	numer	PROPN
ap-1690	289	3	.	.	PUNCT
ap-1690	289	4	methods	method	NOUN
ap-1690	289	5	fluids	fluid	NOUN
ap-1690	289	6	,	,	PUNCT
ap-1690	289	7	19	19	NUM
ap-1690	289	8	,	,	PUNCT
ap-1690	289	9	8	8	NUM
ap-1690	289	10	,	,	PUNCT
ap-1690	289	11	1994	1994	NUM
ap-1690	289	12	,	,	PUNCT
ap-1690	289	13	693–705	693–705	NUM
ap-1690	289	14	.	.	PUNCT
ap-1690	290	1	[	[	X
ap-1690	290	2	3	3	X
ap-1690	290	3	]	]	X
ap-1690	290	4	chorin	chorin	PROPN
ap-1690	290	5	a.	a.	PROPN
ap-1690	290	6	j.	j.	PROPN
ap-1690	290	7	:	:	PUNCT
ap-1690	290	8	a	a	DET
ap-1690	290	9	numerical	numerical	ADJ
ap-1690	290	10	method	method	NOUN
ap-1690	290	11	for	for	ADP
ap-1690	290	12	solving	solve	VERB
ap-1690	290	13	incompressible	incompressible	ADJ
ap-1690	290	14	viscous	viscous	ADJ
ap-1690	290	15	flow	flow	NOUN
ap-1690	290	16	problems	problem	NOUN
ap-1690	290	17	,	,	PUNCT
ap-1690	290	18	j.	j.	PROPN
ap-1690	290	19	comput	comput	PROPN
ap-1690	290	20	.	.	PUNCT
ap-1690	291	1	phys	phy	NOUN
ap-1690	291	2	.	.	PUNCT
ap-1690	291	3	,	,	PUNCT
ap-1690	291	4	2	2	NUM
ap-1690	291	5	,	,	PUNCT
ap-1690	291	6	1	1	NUM
ap-1690	291	7	,	,	PUNCT
ap-1690	291	8	1967	1967	NUM
ap-1690	291	9	,	,	PUNCT
ap-1690	291	10	12–26	12–26	NUM
ap-1690	291	11	.	.	PUNCT
ap-1690	292	1	[	[	X
ap-1690	292	2	4	4	NUM
ap-1690	292	3	]	]	PUNCT
ap-1690	292	4	chung	chung	PROPN
ap-1690	292	5	k.	k.	PROPN
ap-1690	292	6	w.	w.	PROPN
ap-1690	292	7	,	,	PUNCT
ap-1690	292	8	he	he	PROPN
ap-1690	292	9	y.	y.	PROPN
ap-1690	292	10	b.	b.	PROPN
ap-1690	292	11	,	,	PUNCT
ap-1690	293	1	lee	lee	PROPN
ap-1690	293	2	b.	b.	PROPN
ap-1690	293	3	h.	h.	PROPN
ap-1690	294	1	k	k	NOUN
ap-1690	294	2	:	:	PUNCT
ap-1690	294	3	bifurcation	bifurcation	VERB
ap-1690	294	4	analysis	analysis	NOUN
ap-1690	294	5	of	of	ADP
ap-1690	294	6	a	a	DET
ap-1690	294	7	two	two	NUM
ap-1690	294	8	-	-	PUNCT
ap-1690	294	9	degree	degree	NOUN
ap-1690	294	10	-	-	PUNCT
ap-1690	294	11	of	of	ADP
ap-1690	294	12	-	-	PUNCT
ap-1690	294	13	freedom	freedom	NOUN
ap-1690	294	14	aeroelastic	aeroelastic	ADJ
ap-1690	294	15	system	system	NOUN
ap-1690	294	16	with	with	ADP
ap-1690	294	17	hysteresis	hysteresis	NOUN
ap-1690	294	18	structural	structural	ADJ
ap-1690	294	19	nonlinearity	nonlinearity	NOUN
ap-1690	294	20	by	by	ADP
ap-1690	294	21	a	a	DET
ap-1690	294	22	perturbation	perturbation	NOUN
ap-1690	294	23	-	-	PUNCT
ap-1690	294	24	incremental	incremental	NOUN
ap-1690	294	25	method	method	NOUN
ap-1690	294	26	,	,	PUNCT
ap-1690	294	27	j.	j.	PROPN
ap-1690	294	28	sound	sound	PROPN
ap-1690	294	29	vib	vib	PROPN
ap-1690	294	30	.	.	PROPN
ap-1690	294	31	,	,	PUNCT
ap-1690	294	32	320	320	NUM
ap-1690	294	33	,	,	PUNCT
ap-1690	294	34	2009	2009	NUM
ap-1690	294	35	,	,	PUNCT
ap-1690	294	36	163–183	163–183	NUM
ap-1690	294	37	.	.	PUNCT
ap-1690	295	1	[	[	X
ap-1690	295	2	5	5	NUM
ap-1690	295	3	]	]	X
ap-1690	295	4	codina	codina	PROPN
ap-1690	295	5	r.	r.	PROPN
ap-1690	295	6	:	:	PUNCT
ap-1690	295	7	stabilization	stabilization	NOUN
ap-1690	295	8	of	of	ADP
ap-1690	295	9	incompressibility	incompressibility	NOUN
ap-1690	295	10	and	and	CCONJ
ap-1690	295	11	convection	convection	NOUN
ap-1690	295	12	through	through	ADP
ap-1690	295	13	orthogonal	orthogonal	ADJ
ap-1690	295	14	sub	sub	NOUN
ap-1690	295	15	-	-	NOUN
ap-1690	295	16	scales	scale	NOUN
ap-1690	295	17	in	in	ADP
ap-1690	295	18	finite	finite	ADJ
ap-1690	295	19	element	element	NOUN
ap-1690	295	20	methods	method	NOUN
ap-1690	295	21	,	,	PUNCT
ap-1690	295	22	comput	comput	NOUN
ap-1690	295	23	.	.	PUNCT
ap-1690	296	1	methods	method	NOUN
ap-1690	296	2	appl	appl	PROPN
ap-1690	296	3	.	.	PROPN
ap-1690	296	4	mech	mech	PROPN
ap-1690	296	5	.	.	PUNCT
ap-1690	297	1	eng	eng	PROPN
ap-1690	297	2	.	.	PROPN
ap-1690	297	3	,	,	PUNCT
ap-1690	297	4	190	190	NUM
ap-1690	297	5	,	,	PUNCT
ap-1690	297	6	2000	2000	NUM
ap-1690	297	7	,	,	PUNCT
ap-1690	297	8	1579–1599	1579–1599	NUM
ap-1690	297	9	.	.	PUNCT
ap-1690	298	1	[	[	X
ap-1690	298	2	6	6	X
ap-1690	298	3	]	]	X
ap-1690	298	4	davis	davis	PROPN
ap-1690	298	5	t.	t.	PROPN
ap-1690	298	6	a.	a.	PROPN
ap-1690	298	7	,	,	PUNCT
ap-1690	298	8	duff	duff	PROPN
ap-1690	298	9	i.	i.	PROPN
ap-1690	298	10	s.	s.	PROPN
ap-1690	298	11	:	:	PUNCT
ap-1690	298	12	a	a	DET
ap-1690	298	13	combined	combine	VERB
ap-1690	298	14	unifrontal	unifrontal	ADJ
ap-1690	298	15	/	/	SYM
ap-1690	298	16	multifrontal	multifrontal	ADJ
ap-1690	298	17	method	method	NOUN
ap-1690	298	18	for	for	ADP
ap-1690	298	19	unsymmetric	unsymmetric	ADJ
ap-1690	298	20	sparse	sparse	ADJ
ap-1690	298	21	matrices	matrix	NOUN
ap-1690	298	22	,	,	PUNCT
ap-1690	298	23	acm	acm	PROPN
ap-1690	298	24	trans	trans	PROPN
ap-1690	298	25	.	.	PROPN
ap-1690	299	1	math	math	PROPN
ap-1690	299	2	.	.	PUNCT
ap-1690	300	1	softw	softw	PROPN
ap-1690	300	2	.	.	PROPN
ap-1690	300	3	,	,	PUNCT
ap-1690	300	4	25	25	NUM
ap-1690	300	5	,	,	PUNCT
ap-1690	300	6	1999	1999	NUM
ap-1690	300	7	,	,	PUNCT
ap-1690	300	8	1–19	1–19	NOUN
ap-1690	300	9	.	.	PUNCT
ap-1690	301	1	[	[	X
ap-1690	301	2	7	7	X
ap-1690	301	3	]	]	X
ap-1690	301	4	dessi	dessi	PROPN
ap-1690	301	5	d.	d.	PROPN
ap-1690	301	6	,	,	PUNCT
ap-1690	301	7	mastroddi	mastroddi	PROPN
ap-1690	301	8	f.	f.	PROPN
ap-1690	301	9	:	:	PUNCT
ap-1690	301	10	a	a	DET
ap-1690	301	11	nonlinear	nonlinear	ADJ
ap-1690	301	12	analysis	analysis	NOUN
ap-1690	301	13	of	of	ADP
ap-1690	301	14	stability	stability	NOUN
ap-1690	301	15	and	and	CCONJ
ap-1690	301	16	gust	gust	NOUN
ap-1690	301	17	response	response	NOUN
ap-1690	301	18	of	of	ADP
ap-1690	301	19	aeroelastic	aeroelastic	ADJ
ap-1690	301	20	systems	system	NOUN
ap-1690	301	21	,	,	PUNCT
ap-1690	301	22	j.	j.	PROPN
ap-1690	301	23	fluids	fluid	NOUN
ap-1690	301	24	struct	struct	NOUN
ap-1690	301	25	.	.	PUNCT
ap-1690	301	26	,	,	PUNCT
ap-1690	301	27	24	24	NUM
ap-1690	301	28	,	,	PUNCT
ap-1690	301	29	2008	2008	NUM
ap-1690	301	30	,	,	PUNCT
ap-1690	301	31	436–445	436–445	NUM
ap-1690	301	32	.	.	PUNCT
ap-1690	302	1	[	[	X
ap-1690	302	2	8	8	NUM
ap-1690	302	3	]	]	PUNCT
ap-1690	302	4	dolejší	dolejší	VERB
ap-1690	302	5	v.	v.	ADV
ap-1690	302	6	:	:	PUNCT
ap-1690	302	7	anisotropic	anisotropic	NOUN
ap-1690	302	8	mesh	mesh	NOUN
ap-1690	302	9	adaptation	adaptation	NOUN
ap-1690	302	10	technique	technique	NOUN
ap-1690	302	11	for	for	ADP
ap-1690	302	12	viscous	viscous	ADJ
ap-1690	302	13	flow	flow	NOUN
ap-1690	302	14	simulation	simulation	NOUN
ap-1690	302	15	,	,	PUNCT
ap-1690	302	16	east	east	PROPN
ap-1690	302	17	-	-	PUNCT
ap-1690	302	18	west	west	PROPN
ap-1690	302	19	j.	j.	PROPN
ap-1690	302	20	numer	numer	PROPN
ap-1690	302	21	.	.	PROPN
ap-1690	302	22	math	math	PROPN
ap-1690	302	23	.	.	PUNCT
ap-1690	302	24	,	,	PUNCT
ap-1690	302	25	9	9	NUM
ap-1690	302	26	,	,	PUNCT
ap-1690	302	27	2001	2001	NUM
ap-1690	302	28	,	,	PUNCT
ap-1690	302	29	1–24	1–24	PROPN
ap-1690	302	30	.	.	PUNCT
ap-1690	303	1	[	[	X
ap-1690	303	2	9	9	NUM
ap-1690	303	3	]	]	PUNCT
ap-1690	303	4	dowell	dowell	PROPN
ap-1690	303	5	e.	e.	PROPN
ap-1690	303	6	h.	h.	PROPN
ap-1690	303	7	:	:	PUNCT
ap-1690	303	8	a	a	DET
ap-1690	303	9	modern	modern	ADJ
ap-1690	303	10	course	course	NOUN
ap-1690	303	11	in	in	ADP
ap-1690	303	12	aeroelasticity	aeroelasticity	NOUN
ap-1690	303	13	.	.	PUNCT
ap-1690	304	1	dodrecht	dodrecht	NOUN
ap-1690	304	2	:	:	PUNCT
ap-1690	304	3	kluwer	kluwer	PROPN
ap-1690	304	4	academic	academic	ADJ
ap-1690	304	5	publisher	publisher	NOUN
ap-1690	304	6	,	,	PUNCT
ap-1690	304	7	1995	1995	NUM
ap-1690	304	8	.	.	PUNCT
ap-1690	305	1	[	[	X
ap-1690	305	2	10	10	NUM
ap-1690	305	3	]	]	PUNCT
ap-1690	305	4	feistauer	feistauer	NOUN
ap-1690	305	5	,	,	PUNCT
ap-1690	305	6	m.	m.	NOUN
ap-1690	305	7	,	,	PUNCT
ap-1690	305	8	1993	1993	NUM
ap-1690	305	9	.	.	PUNCT
ap-1690	306	1	mathematical	mathematical	ADJ
ap-1690	306	2	methods	method	NOUN
ap-1690	306	3	in	in	ADP
ap-1690	306	4	fluid	fluid	ADJ
ap-1690	306	5	dynamics	dynamic	NOUN
ap-1690	306	6	.	.	PUNCT
ap-1690	307	1	longman	longman	PROPN
ap-1690	307	2	scientific	scientific	PROPN
ap-1690	307	3	&	&	CCONJ
ap-1690	307	4	technical	technical	ADJ
ap-1690	307	5	,	,	PUNCT
ap-1690	307	6	harlow	harlow	NOUN
ap-1690	307	7	.	.	PUNCT
ap-1690	308	1	[	[	X
ap-1690	308	2	11	11	NUM
ap-1690	308	3	]	]	PUNCT
ap-1690	308	4	feistauer	feistauer	NOUN
ap-1690	308	5	,	,	PUNCT
ap-1690	308	6	m.	m.	NOUN
ap-1690	308	7	,	,	PUNCT
ap-1690	308	8	felcman	felcman	NOUN
ap-1690	308	9	,	,	PUNCT
ap-1690	308	10	j.	j.	PROPN
ap-1690	308	11	,	,	PUNCT
ap-1690	308	12	straškraba	straškraba	PROPN
ap-1690	308	13	,	,	PUNCT
ap-1690	308	14	j.	j.	PROPN
ap-1690	308	15	,	,	PUNCT
ap-1690	308	16	2003	2003	NUM
ap-1690	308	17	.	.	PUNCT
ap-1690	309	1	mathematical	mathematical	ADJ
ap-1690	309	2	and	and	CCONJ
ap-1690	309	3	computational	computational	ADJ
ap-1690	309	4	methods	method	NOUN
ap-1690	309	5	for	for	ADP
ap-1690	309	6	compressible	compressible	ADJ
ap-1690	309	7	flow	flow	NOUN
ap-1690	309	8	.	.	PUNCT
ap-1690	310	1	clarendon	clarendon	PROPN
ap-1690	310	2	press	press	PROPN
ap-1690	310	3	,	,	PUNCT
ap-1690	310	4	oxford	oxford	PROPN
ap-1690	310	5	.	.	PUNCT
ap-1690	311	1	[	[	X
ap-1690	311	2	12	12	NUM
ap-1690	311	3	]	]	PUNCT
ap-1690	311	4	gaitonde	gaitonde	PROPN
ap-1690	311	5	a.	a.	PROPN
ap-1690	311	6	l.	l.	PROPN
ap-1690	311	7	:	:	PUNCT
ap-1690	311	8	a	a	DET
ap-1690	311	9	dual	dual	ADJ
ap-1690	311	10	-	-	PUNCT
ap-1690	311	11	time	time	NOUN
ap-1690	311	12	method	method	NOUN
ap-1690	311	13	for	for	ADP
ap-1690	311	14	twodimensional	twodimensional	ADJ
ap-1690	311	15	unsteady	unsteady	ADJ
ap-1690	311	16	incompressible	incompressible	ADJ
ap-1690	311	17	flow	flow	NOUN
ap-1690	311	18	calculations	calculation	NOUN
ap-1690	311	19	,	,	PUNCT
ap-1690	311	20	int	int	NOUN
ap-1690	311	21	.	.	PUNCT
ap-1690	312	1	j.	j.	PROPN
ap-1690	312	2	numer	numer	PROPN
ap-1690	312	3	.	.	PUNCT
ap-1690	313	1	methods	methods	PROPN
ap-1690	313	2	eng	eng	PROPN
ap-1690	313	3	.	.	PROPN
ap-1690	313	4	,	,	PUNCT
ap-1690	313	5	41	41	NUM
ap-1690	313	6	,	,	PUNCT
ap-1690	313	7	1998	1998	NUM
ap-1690	313	8	,	,	PUNCT
ap-1690	313	9	1153–1166	1153–1166	NUM
ap-1690	313	10	.	.	PUNCT
ap-1690	314	1	[	[	X
ap-1690	314	2	13	13	NUM
ap-1690	314	3	]	]	PUNCT
ap-1690	314	4	gelhard	gelhard	NOUN
ap-1690	314	5	t.	t.	PROPN
ap-1690	314	6	,	,	PUNCT
ap-1690	314	7	lube	lube	PROPN
ap-1690	314	8	g.	g.	NOUN
ap-1690	314	9	,	,	PUNCT
ap-1690	314	10	olshanskii	olshanskii	ADJ
ap-1690	314	11	m.	m.	NOUN
ap-1690	314	12	a.	a.	PROPN
ap-1690	314	13	,	,	PUNCT
ap-1690	314	14	starcke	starcke	ADJ
ap-1690	314	15	j.-h	j.-h	NOUN
ap-1690	314	16	.	.	PUNCT
ap-1690	314	17	:	:	PUNCT
ap-1690	314	18	stabilized	stabilize	VERB
ap-1690	314	19	finite	finite	ADJ
ap-1690	314	20	element	element	NOUN
ap-1690	314	21	schemes	scheme	NOUN
ap-1690	314	22	with	with	ADP
ap-1690	314	23	lbb	lbb	PROPN
ap-1690	314	24	-	-	PUNCT
ap-1690	314	25	stable	stable	ADJ
ap-1690	314	26	elements	element	NOUN
ap-1690	314	27	for	for	ADP
ap-1690	314	28	incompressible	incompressible	ADJ
ap-1690	314	29	flows	flow	NOUN
ap-1690	314	30	,	,	PUNCT
ap-1690	314	31	j.	j.	PROPN
ap-1690	314	32	comput	comput	PROPN
ap-1690	314	33	.	.	PUNCT
ap-1690	315	1	appl	appl	PROPN
ap-1690	315	2	.	.	PROPN
ap-1690	315	3	math	math	PROPN
ap-1690	315	4	.	.	PUNCT
ap-1690	315	5	,	,	PUNCT
ap-1690	315	6	177	177	NUM
ap-1690	315	7	,	,	PUNCT
ap-1690	315	8	2005	2005	NUM
ap-1690	315	9	,	,	PUNCT
ap-1690	315	10	243–267	243–267	NUM
ap-1690	315	11	.	.	PUNCT
ap-1690	316	1	[	[	X
ap-1690	316	2	14	14	NUM
ap-1690	316	3	]	]	X
ap-1690	316	4	heywood	heywood	PROPN
ap-1690	316	5	j.	j.	PROPN
ap-1690	316	6	g.	g.	PROPN
ap-1690	316	7	,	,	PUNCT
ap-1690	316	8	rannacher	rannacher	PROPN
ap-1690	316	9	r.	r.	PROPN
ap-1690	316	10	,	,	PUNCT
ap-1690	316	11	turek	turek	PROPN
ap-1690	316	12	s.	s.	PROPN
ap-1690	316	13	:	:	PUNCT
ap-1690	316	14	artificial	artificial	ADJ
ap-1690	316	15	boundaries	boundary	NOUN
ap-1690	316	16	and	and	CCONJ
ap-1690	316	17	flux	flux	NOUN
ap-1690	316	18	and	and	CCONJ
ap-1690	316	19	pressure	pressure	NOUN
ap-1690	316	20	conditions	condition	NOUN
ap-1690	316	21	for	for	ADP
ap-1690	316	22	the	the	DET
ap-1690	316	23	incompressible	incompressible	ADJ
ap-1690	316	24	navier	navier	NOUN
ap-1690	316	25	-	-	PUNCT
ap-1690	316	26	stokes	stoke	NOUN
ap-1690	316	27	equations	equation	NOUN
ap-1690	316	28	,	,	PUNCT
ap-1690	316	29	int	int	NOUN
ap-1690	316	30	.	.	PUNCT
ap-1690	317	1	j.	j.	PROPN
ap-1690	317	2	numer	numer	PROPN
ap-1690	317	3	.	.	PROPN
ap-1690	317	4	math	math	PROPN
ap-1690	317	5	.	.	PUNCT
ap-1690	318	1	fluids	fluid	NOUN
ap-1690	318	2	,	,	PUNCT
ap-1690	318	3	22	22	NUM
ap-1690	318	4	,	,	PUNCT
ap-1690	318	5	1992	1992	NUM
ap-1690	318	6	,	,	PUNCT
ap-1690	318	7	325–352	325–352	NUM
ap-1690	318	8	.	.	PUNCT
ap-1690	319	1	[	[	X
ap-1690	319	2	15	15	NUM
ap-1690	319	3	]	]	X
ap-1690	319	4	honzátko	honzátko	PROPN
ap-1690	319	5	r.	r.	PROPN
ap-1690	319	6	:	:	PUNCT
ap-1690	319	7	numerical	numerical	ADJ
ap-1690	319	8	simulations	simulation	NOUN
ap-1690	319	9	of	of	ADP
ap-1690	319	10	incompressible	incompressible	ADJ
ap-1690	319	11	flows	flow	NOUN
ap-1690	319	12	with	with	ADP
ap-1690	319	13	dynamical	dynamical	ADJ
ap-1690	319	14	and	and	CCONJ
ap-1690	319	15	aeroelastic	aeroelastic	ADJ
ap-1690	319	16	effects	effect	NOUN
ap-1690	319	17	.	.	PUNCT
ap-1690	320	1	prague	prague	NOUN
ap-1690	320	2	:	:	PUNCT
ap-1690	320	3	phd	phd	NOUN
ap-1690	320	4	dissertation	dissertation	NOUN
ap-1690	320	5	,	,	PUNCT
ap-1690	320	6	czech	czech	PROPN
ap-1690	320	7	technical	technical	PROPN
ap-1690	320	8	university	university	PROPN
ap-1690	320	9	in	in	ADP
ap-1690	320	10	prague	prague	PROPN
ap-1690	320	11	,	,	PUNCT
ap-1690	320	12	faculty	faculty	NOUN
ap-1690	320	13	of	of	ADP
ap-1690	320	14	nuclear	nuclear	ADJ
ap-1690	320	15	sciences	science	NOUN
ap-1690	320	16	and	and	CCONJ
ap-1690	320	17	physical	physical	ADJ
ap-1690	320	18	engineering	engineering	NOUN
ap-1690	320	19	,	,	PUNCT
ap-1690	320	20	2007	2007	NUM
ap-1690	320	21	.	.	PUNCT
ap-1690	321	1	[	[	X
ap-1690	321	2	16	16	NUM
ap-1690	321	3	]	]	X
ap-1690	321	4	honzátko	honzátko	PROPN
ap-1690	321	5	r.	r.	PROPN
ap-1690	321	6	,	,	PUNCT
ap-1690	321	7	horáček	horáček	PROPN
ap-1690	321	8	j.	j.	PROPN
ap-1690	321	9	,	,	PUNCT
ap-1690	321	10	kozel	kozel	PROPN
ap-1690	321	11	k.	k.	PROPN
ap-1690	321	12	:	:	PUNCT
ap-1690	321	13	numerical	numerical	ADJ
ap-1690	321	14	solution	solution	NOUN
ap-1690	321	15	of	of	ADP
ap-1690	321	16	flow	flow	NOUN
ap-1690	321	17	induced	induce	VERB
ap-1690	321	18	vibrating	vibrating	NOUN
ap-1690	321	19	of	of	ADP
ap-1690	321	20	a	a	DET
ap-1690	321	21	profile	profile	NOUN
ap-1690	321	22	.	.	PUNCT
ap-1690	322	1	in	in	ADP
ap-1690	322	2	:	:	PUNCT
ap-1690	322	3	numerical	numerical	ADJ
ap-1690	322	4	mathematics	mathematic	NOUN
ap-1690	322	5	and	and	CCONJ
ap-1690	322	6	advanced	advanced	ADJ
ap-1690	322	7	applications	application	NOUN
ap-1690	322	8	,	,	PUNCT
ap-1690	322	9	enumath	enumath	NOUN
ap-1690	322	10	2007	2007	NUM
ap-1690	322	11	,	,	PUNCT
ap-1690	322	12	heidelberg	heidelberg	NOUN
ap-1690	322	13	:	:	PUNCT
ap-1690	322	14	springer	springer	NOUN
ap-1690	322	15	,	,	PUNCT
ap-1690	322	16	2008	2008	NUM
ap-1690	322	17	,	,	PUNCT
ap-1690	322	18	547–554	547–554	NUM
ap-1690	322	19	.	.	PUNCT
ap-1690	323	1	[	[	X
ap-1690	323	2	17	17	NUM
ap-1690	323	3	]	]	X
ap-1690	323	4	horáček	horáček	PROPN
ap-1690	323	5	j.	j.	PROPN
ap-1690	323	6	:	:	PUNCT
ap-1690	323	7	nonlinear	nonlinear	ADJ
ap-1690	323	8	formulation	formulation	NOUN
ap-1690	323	9	of	of	ADP
ap-1690	323	10	oscillations	oscillation	NOUN
ap-1690	323	11	of	of	ADP
ap-1690	323	12	a	a	DET
ap-1690	323	13	profile	profile	NOUN
ap-1690	323	14	for	for	ADP
ap-1690	323	15	aero	aero	ADJ
ap-1690	323	16	-	-	PUNCT
ap-1690	323	17	hydroelastic	hydroelastic	ADJ
ap-1690	323	18	computations	computation	NOUN
ap-1690	323	19	,	,	PUNCT
ap-1690	323	20	in	in	ADP
ap-1690	323	21	dynamics	dynamic	NOUN
ap-1690	323	22	of	of	ADP
ap-1690	323	23	machines	machine	NOUN
ap-1690	323	24	,	,	PUNCT
ap-1690	323	25	prague	prague	PROPN
ap-1690	323	26	:	:	PUNCT
ap-1690	323	27	institute	institute	NOUN
ap-1690	323	28	of	of	ADP
ap-1690	323	29	thermomechanics	thermomechanic	NOUN
ap-1690	323	30	as	as	ADP
ap-1690	323	31	cr	cr	PROPN
ap-1690	323	32	,	,	PUNCT
ap-1690	323	33	2003	2003	NUM
ap-1690	323	34	,	,	PUNCT
ap-1690	323	35	51–56	51–56	NUM
ap-1690	323	36	.	.	PUNCT
ap-1690	324	1	[	[	X
ap-1690	324	2	18	18	NUM
ap-1690	324	3	]	]	X
ap-1690	324	4	jones	jones	PROPN
ap-1690	324	5	d.	d.	PROPN
ap-1690	324	6	p.	p.	PROPN
ap-1690	324	7	,	,	PUNCT
ap-1690	324	8	roberts	roberts	PROPN
ap-1690	324	9	i.	i.	PROPN
ap-1690	324	10	,	,	PUNCT
ap-1690	324	11	gaitonde	gaitonde	PROPN
ap-1690	324	12	a.	a.	PROPN
ap-1690	324	13	l.	l.	PROPN
ap-1690	324	14	:	:	PUNCT
ap-1690	324	15	identification	identification	NOUN
ap-1690	324	16	of	of	ADP
ap-1690	324	17	limit	limit	NOUN
ap-1690	324	18	cycles	cycle	NOUN
ap-1690	324	19	for	for	ADP
ap-1690	324	20	piecewise	piecewise	NOUN
ap-1690	324	21	nonlinear	nonlinear	ADJ
ap-1690	324	22	aeroelastic	aeroelastic	ADJ
ap-1690	324	23	systems	system	NOUN
ap-1690	324	24	,	,	PUNCT
ap-1690	324	25	j.	j.	PROPN
ap-1690	324	26	fluids	fluid	NOUN
ap-1690	324	27	struct	struct	NOUN
ap-1690	324	28	.	.	PUNCT
ap-1690	324	29	,	,	PUNCT
ap-1690	324	30	23	23	NUM
ap-1690	324	31	,	,	PUNCT
ap-1690	324	32	2007	2007	NUM
ap-1690	324	33	,	,	PUNCT
ap-1690	324	34	1012–1028	1012–1028	NUM
ap-1690	324	35	.	.	PUNCT
ap-1690	325	1	[	[	X
ap-1690	325	2	19	19	NUM
ap-1690	325	3	]	]	X
ap-1690	325	4	koobus	koobus	PROPN
ap-1690	325	5	b.	b.	PROPN
ap-1690	325	6	,	,	PUNCT
ap-1690	325	7	farhat	farhat	PROPN
ap-1690	325	8	ch	ch	PROPN
ap-1690	325	9	.	.	PUNCT
ap-1690	325	10	:	:	PUNCT
ap-1690	325	11	second	second	ADJ
ap-1690	325	12	-	-	PUNCT
ap-1690	325	13	order	order	NOUN
ap-1690	325	14	timeaccurate	timeaccurate	NOUN
ap-1690	325	15	and	and	CCONJ
ap-1690	325	16	geometrically	geometrically	ADV
ap-1690	325	17	conservative	conservative	ADJ
ap-1690	325	18	implicit	implicit	ADJ
ap-1690	325	19	schemes	scheme	NOUN
ap-1690	325	20	for	for	ADP
ap-1690	325	21	flow	flow	NOUN
ap-1690	325	22	computations	computation	NOUN
ap-1690	325	23	on	on	ADP
ap-1690	325	24	unstructured	unstructured	ADJ
ap-1690	325	25	dynamic	dynamic	ADJ
ap-1690	325	26	meshes	mesh	NOUN
ap-1690	325	27	,	,	PUNCT
ap-1690	325	28	comput	comput	NOUN
ap-1690	325	29	.	.	PUNCT
ap-1690	326	1	methods	method	NOUN
ap-1690	326	2	appl	appl	PROPN
ap-1690	326	3	.	.	PROPN
ap-1690	326	4	mech	mech	PROPN
ap-1690	326	5	.	.	PUNCT
ap-1690	327	1	eng	eng	PROPN
ap-1690	327	2	.	.	PROPN
ap-1690	327	3	,	,	PUNCT
ap-1690	327	4	170	170	NUM
ap-1690	327	5	,	,	PUNCT
ap-1690	327	6	1999	1999	NUM
ap-1690	327	7	,	,	PUNCT
ap-1690	327	8	103–129	103–129	NUM
ap-1690	327	9	.	.	PUNCT
ap-1690	328	1	[	[	X
ap-1690	328	2	20	20	NUM
ap-1690	328	3	]	]	X
ap-1690	328	4	lesoinne	lesoinne	NOUN
ap-1690	328	5	m.	m.	NOUN
ap-1690	328	6	,	,	PUNCT
ap-1690	328	7	farhat	farhat	PROPN
ap-1690	328	8	ch	ch	PROPN
ap-1690	328	9	.	.	PUNCT
ap-1690	328	10	:	:	PUNCT
ap-1690	328	11	geometric	geometric	ADJ
ap-1690	328	12	conservation	conservation	NOUN
ap-1690	328	13	laws	law	NOUN
ap-1690	328	14	for	for	ADP
ap-1690	328	15	flow	flow	NOUN
ap-1690	328	16	problems	problem	NOUN
ap-1690	328	17	with	with	ADP
ap-1690	328	18	moving	move	VERB
ap-1690	328	19	boundaries	boundary	NOUN
ap-1690	328	20	and	and	CCONJ
ap-1690	328	21	deformable	deformable	ADJ
ap-1690	328	22	meshes	mesh	NOUN
ap-1690	328	23	,	,	PUNCT
ap-1690	328	24	and	and	CCONJ
ap-1690	328	25	their	their	PRON
ap-1690	328	26	impact	impact	NOUN
ap-1690	328	27	on	on	ADP
ap-1690	328	28	aeroelastic	aeroelastic	ADJ
ap-1690	328	29	computations	computation	NOUN
ap-1690	328	30	,	,	PUNCT
ap-1690	328	31	comput	comput	NOUN
ap-1690	328	32	.	.	PUNCT
ap-1690	329	1	methods	method	NOUN
ap-1690	329	2	appl	appl	PROPN
ap-1690	329	3	.	.	PROPN
ap-1690	329	4	mech	mech	PROPN
ap-1690	329	5	.	.	PUNCT
ap-1690	330	1	eng	eng	PROPN
ap-1690	330	2	.	.	PROPN
ap-1690	330	3	,	,	PUNCT
ap-1690	330	4	134	134	NUM
ap-1690	330	5	,	,	PUNCT
ap-1690	330	6	1996	1996	NUM
ap-1690	330	7	,	,	PUNCT
ap-1690	330	8	71–90	71–90	NUM
ap-1690	330	9	.	.	PUNCT
ap-1690	331	1	[	[	X
ap-1690	331	2	21	21	NUM
ap-1690	331	3	]	]	X
ap-1690	331	4	librescu	librescu	PROPN
ap-1690	331	5	l.	l.	PROPN
ap-1690	331	6	,	,	PUNCT
ap-1690	331	7	marzocca	marzocca	PROPN
ap-1690	331	8	p.	p.	NOUN
ap-1690	331	9	:	:	PUNCT
ap-1690	331	10	advances	advance	NOUN
ap-1690	331	11	in	in	ADP
ap-1690	331	12	the	the	DET
ap-1690	331	13	linear	linear	ADJ
ap-1690	331	14	/	/	SYM
ap-1690	331	15	nonlinear	nonlinear	ADJ
ap-1690	331	16	control	control	NOUN
ap-1690	331	17	of	of	ADP
ap-1690	331	18	aeroelastic	aeroelastic	ADJ
ap-1690	331	19	structural	structural	ADJ
ap-1690	331	20	systems	system	NOUN
ap-1690	331	21	,	,	PUNCT
ap-1690	331	22	acta	acta	PROPN
ap-1690	331	23	mech	mech	PROPN
ap-1690	331	24	.	.	PROPN
ap-1690	331	25	,	,	PUNCT
ap-1690	331	26	178	178	NUM
ap-1690	331	27	,	,	PUNCT
ap-1690	331	28	2005	2005	NUM
ap-1690	331	29	,	,	PUNCT
ap-1690	331	30	147–186	147–186	NUM
ap-1690	331	31	.	.	PUNCT
ap-1690	332	1	[	[	X
ap-1690	332	2	22	22	NUM
ap-1690	332	3	]	]	X
ap-1690	332	4	librescu	librescu	PROPN
ap-1690	332	5	l.	l.	PROPN
ap-1690	332	6	,	,	PUNCT
ap-1690	332	7	marzocca	marzocca	PROPN
ap-1690	332	8	p.	p.	PROPN
ap-1690	332	9	,	,	PUNCT
ap-1690	332	10	silva	silva	PROPN
ap-1690	332	11	w.	w.	PROPN
ap-1690	332	12	a.	a.	PROPN
ap-1690	332	13	:	:	PUNCT
ap-1690	332	14	aeroelasticity	aeroelasticity	NOUN
ap-1690	332	15	of	of	ADP
ap-1690	332	16	2	2	NUM
ap-1690	332	17	-	-	PUNCT
ap-1690	332	18	d	d	NOUN
ap-1690	332	19	lifting	lifting	NOUN
ap-1690	332	20	surfaces	surface	NOUN
ap-1690	332	21	with	with	ADP
ap-1690	332	22	time	time	NOUN
ap-1690	332	23	-	-	PUNCT
ap-1690	332	24	delayed	delay	VERB
ap-1690	332	25	feedback	feedback	NOUN
ap-1690	332	26	control	control	NOUN
ap-1690	332	27	.	.	PUNCT
ap-1690	333	1	j.	j.	PROPN
ap-1690	333	2	fluids	fluids	PROPN
ap-1690	333	3	struct	struct	NOUN
ap-1690	333	4	.	.	PUNCT
ap-1690	333	5	,	,	PUNCT
ap-1690	333	6	20	20	NUM
ap-1690	333	7	,	,	PUNCT
ap-1690	333	8	2	2	NUM
ap-1690	333	9	,	,	PUNCT
ap-1690	333	10	2005	2005	NUM
ap-1690	333	11	,	,	PUNCT
ap-1690	333	12	197–215	197–215	NUM
ap-1690	333	13	.	.	PUNCT
ap-1690	334	1	[	[	X
ap-1690	334	2	23	23	NUM
ap-1690	334	3	]	]	X
ap-1690	334	4	naudasher	naudasher	PROPN
ap-1690	334	5	e.	e.	PROPN
ap-1690	334	6	,	,	PUNCT
ap-1690	334	7	rockwell	rockwell	PROPN
ap-1690	334	8	d.	d.	PROPN
ap-1690	334	9	:	:	PUNCT
ap-1690	334	10	flow	flow	NOUN
ap-1690	334	11	-	-	PUNCT
ap-1690	334	12	induced	induce	VERB
ap-1690	334	13	vibrations	vibration	NOUN
ap-1690	334	14	.	.	PUNCT
ap-1690	335	1	rotterdam	rotterdam	NOUN
ap-1690	335	2	:	:	PUNCT
ap-1690	335	3	a.	a.	NOUN
ap-1690	335	4	a.	a.	NOUN
ap-1690	335	5	balkema	balkema	PROPN
ap-1690	335	6	,	,	PUNCT
ap-1690	335	7	1994	1994	NUM
ap-1690	335	8	.	.	PUNCT
ap-1690	336	1	[	[	X
ap-1690	336	2	24	24	NUM
ap-1690	336	3	]	]	PUNCT
ap-1690	336	4	paidoussis	paidoussis	NOUN
ap-1690	336	5	m.	m.	NOUN
ap-1690	336	6	p.	p.	NOUN
ap-1690	336	7	:	:	PUNCT
ap-1690	336	8	slender	slender	ADJ
ap-1690	336	9	structures	structure	NOUN
ap-1690	336	10	and	and	CCONJ
ap-1690	336	11	axial	axial	ADJ
ap-1690	336	12	flow	flow	NOUN
ap-1690	336	13	,	,	PUNCT
ap-1690	336	14	volume	volume	NOUN
ap-1690	336	15	1	1	NUM
ap-1690	336	16	of	of	ADP
ap-1690	336	17	fluid	fluid	ADJ
ap-1690	336	18	-	-	PUNCT
ap-1690	336	19	structure	structure	NOUN
ap-1690	336	20	interactions	interaction	NOUN
ap-1690	336	21	.	.	PUNCT
ap-1690	337	1	san	san	PROPN
ap-1690	337	2	diego	diego	PROPN
ap-1690	337	3	:	:	PUNCT
ap-1690	337	4	academic	academic	ADJ
ap-1690	337	5	press	press	NOUN
ap-1690	337	6	,	,	PUNCT
ap-1690	337	7	1998	1998	NUM
ap-1690	337	8	.	.	PUNCT
ap-1690	338	1	[	[	X
ap-1690	338	2	25	25	NUM
ap-1690	338	3	]	]	PUNCT
ap-1690	338	4	raviart	raviart	NOUN
ap-1690	338	5	p.-a	p.-a	NOUN
ap-1690	338	6	.	.	PUNCT
ap-1690	338	7	,	,	PUNCT
ap-1690	338	8	girault	girault	VERB
ap-1690	338	9	v.	v.	NOUN
ap-1690	338	10	:	:	PUNCT
ap-1690	338	11	finite	finite	PROPN
ap-1690	338	12	element	element	NOUN
ap-1690	338	13	methods	method	NOUN
ap-1690	338	14	for	for	ADP
ap-1690	338	15	the	the	DET
ap-1690	338	16	navier	navier	NOUN
ap-1690	338	17	-	-	PUNCT
ap-1690	338	18	stokes	stoke	NOUN
ap-1690	338	19	equations	equation	NOUN
ap-1690	338	20	.	.	PUNCT
ap-1690	339	1	berlin	berlin	PROPN
ap-1690	339	2	:	:	PUNCT
ap-1690	339	3	springer	springer	NOUN
ap-1690	339	4	,	,	PUNCT
ap-1690	339	5	1986	1986	NUM
ap-1690	339	6	.	.	PUNCT
ap-1690	340	1	[	[	X
ap-1690	340	2	26	26	NUM
ap-1690	340	3	]	]	X
ap-1690	340	4	r.	r.	PROPN
ap-1690	340	5	l.	l.	PROPN
ap-1690	340	6	sani	sani	PROPN
ap-1690	340	7	and	and	CCONJ
ap-1690	340	8	p.	p.	NOUN
ap-1690	340	9	m.	m.	NOUN
ap-1690	340	10	gresho	gresho	PROPN
ap-1690	340	11	.	.	PUNCT
ap-1690	340	12	:	:	PUNCT
ap-1690	341	1	incompressible	incompressible	ADJ
ap-1690	341	2	flow	flow	NOUN
ap-1690	341	3	and	and	CCONJ
ap-1690	341	4	the	the	DET
ap-1690	341	5	finite	finite	ADJ
ap-1690	341	6	element	element	NOUN
ap-1690	341	7	method	method	NOUN
ap-1690	341	8	.	.	PUNCT
ap-1690	342	1	chichester	chichester	NOUN
ap-1690	342	2	:	:	PUNCT
ap-1690	342	3	wiley	wiley	PROPN
ap-1690	342	4	,	,	PUNCT
ap-1690	342	5	2000	2000	NUM
ap-1690	342	6	.	.	PUNCT
ap-1690	343	1	[	[	X
ap-1690	343	2	27	27	NUM
ap-1690	343	3	]	]	PUNCT
ap-1690	343	4	sváček	sváček	PROPN
ap-1690	343	5	p.	p.	PROPN
ap-1690	343	6	,	,	PUNCT
ap-1690	343	7	feistauer	feistauer	PROPN
ap-1690	343	8	,	,	PUNCT
ap-1690	343	9	m.	m.	NOUN
ap-1690	343	10	:	:	PUNCT
ap-1690	343	11	application	application	NOUN
ap-1690	343	12	of	of	ADP
ap-1690	343	13	a	a	DET
ap-1690	343	14	stabilized	stabilize	VERB
ap-1690	343	15	fem	fem	NOUN
ap-1690	343	16	to	to	ADP
ap-1690	343	17	problems	problem	NOUN
ap-1690	343	18	of	of	ADP
ap-1690	343	19	aeroelasticity	aeroelasticity	NOUN
ap-1690	343	20	,	,	PUNCT
ap-1690	343	21	in	in	ADP
ap-1690	343	22	numerical	numerical	ADJ
ap-1690	343	23	mathematics	mathematic	NOUN
ap-1690	343	24	and	and	CCONJ
ap-1690	343	25	advanced	advanced	ADJ
ap-1690	343	26	application	application	NOUN
ap-1690	343	27	.	.	PUNCT
ap-1690	344	1	berlin	berlin	ADJ
ap-1690	344	2	:	:	PUNCT
ap-1690	344	3	springer	springer	NOUN
ap-1690	344	4	,	,	PUNCT
ap-1690	344	5	2004	2004	NUM
ap-1690	344	6	,	,	PUNCT
ap-1690	344	7	796–805	796–805	NUM
ap-1690	344	8	.	.	PUNCT
ap-1690	345	1	[	[	X
ap-1690	345	2	28	28	NUM
ap-1690	345	3	]	]	X
ap-1690	345	4	sváček	sváček	PROPN
ap-1690	345	5	p.	p.	PROPN
ap-1690	345	6	,	,	PUNCT
ap-1690	345	7	feistauer	feistauer	NOUN
ap-1690	345	8	m.	m.	NOUN
ap-1690	345	9	,	,	PUNCT
ap-1690	345	10	horáček	horáček	PROPN
ap-1690	345	11	j.	j.	PROPN
ap-1690	345	12	:	:	PROPN
ap-1690	345	13	numerical	numerical	PROPN
ap-1690	345	14	simulation	simulation	PROPN
ap-1690	345	15	of	of	ADP
ap-1690	345	16	flow	flow	NOUN
ap-1690	345	17	induced	induce	VERB
ap-1690	345	18	airfoil	airfoil	NOUN
ap-1690	345	19	vibrations	vibration	NOUN
ap-1690	345	20	with	with	ADP
ap-1690	345	21	large	large	ADJ
ap-1690	345	22	amplitudes	amplitude	NOUN
ap-1690	345	23	,	,	PUNCT
ap-1690	345	24	j.	j.	PROPN
ap-1690	345	25	fluids	fluid	NOUN
ap-1690	345	26	struct	struct	NOUN
ap-1690	345	27	.	.	PUNCT
ap-1690	345	28	,	,	PUNCT
ap-1690	345	29	23	23	NUM
ap-1690	345	30	,	,	PUNCT
ap-1690	345	31	3	3	NUM
ap-1690	345	32	,	,	PUNCT
ap-1690	345	33	2007	2007	NUM
ap-1690	345	34	,	,	PUNCT
ap-1690	345	35	391–411	391–411	NUM
ap-1690	345	36	.	.	PUNCT
ap-1690	346	1	[	[	X
ap-1690	346	2	29	29	NUM
ap-1690	346	3	]	]	X
ap-1690	346	4	verfürth	verfürth	NOUN
ap-1690	346	5	r.	r.	PROPN
ap-1690	346	6	:	:	PUNCT
ap-1690	346	7	error	error	NOUN
ap-1690	346	8	estimates	estimate	NOUN
ap-1690	346	9	for	for	ADP
ap-1690	346	10	mixed	mixed	ADJ
ap-1690	346	11	finite	finite	ADJ
ap-1690	346	12	element	element	NOUN
ap-1690	346	13	approximation	approximation	NOUN
ap-1690	346	14	of	of	ADP
ap-1690	346	15	the	the	DET
ap-1690	346	16	stokes	stoke	NOUN
ap-1690	346	17	equations	equation	NOUN
ap-1690	346	18	,	,	PUNCT
ap-1690	346	19	r.a.i.r.o	r.a.i.r.o	NOUN
ap-1690	346	20	.	.	PUNCT
ap-1690	347	1	analyse	analyse	PROPN
ap-1690	347	2	numérique	numérique	PROPN
ap-1690	347	3	/	/	SYM
ap-1690	347	4	numerical	numerical	PROPN
ap-1690	347	5	analysis,18	analysis,18	PROPN
ap-1690	347	6	,	,	PUNCT
ap-1690	347	7	1984	1984	NUM
ap-1690	347	8	,	,	PUNCT
ap-1690	347	9	175–182	175–182	NUM
ap-1690	347	10	.	.	NOUN
ap-1690	347	11	115	115	NUM