id	sid	tid	token	lemma	pos
ap-7150	1	1	acta	acta	PROPN
ap-7150	1	2	polytechnica	polytechnica	PROPN
ap-7150	1	3	https://doi.org/10.14311/ap.2021.61.0516	https://doi.org/10.14311/ap.2021.61.0516	PROPN
ap-7150	1	4	acta	acta	PROPN
ap-7150	1	5	polytechnica	polytechnica	PROPN
ap-7150	1	6	61(4):516–525	61(4):516–525	PROPN
ap-7150	1	7	,	,	PUNCT
ap-7150	1	8	2021	2021	NUM
ap-7150	1	9	©	©	PROPN
ap-7150	1	10	2021	2021	NUM
ap-7150	1	11	the	the	DET
ap-7150	1	12	author(s	author(s	NOUN
ap-7150	1	13	)	)	PUNCT
ap-7150	1	14	.	.	PUNCT
ap-7150	2	1	licensed	license	VERB
ap-7150	2	2	under	under	ADP
ap-7150	2	3	a	a	DET
ap-7150	2	4	cc	cc	NOUN
ap-7150	2	5	-	-	PUNCT
ap-7150	2	6	by	by	ADP
ap-7150	2	7	4.0	4.0	NUM
ap-7150	2	8	licence	licence	NOUN
ap-7150	2	9	published	publish	VERB
ap-7150	2	10	by	by	ADP
ap-7150	2	11	the	the	DET
ap-7150	2	12	czech	czech	PROPN
ap-7150	2	13	technical	technical	PROPN
ap-7150	2	14	university	university	PROPN
ap-7150	2	15	in	in	ADP
ap-7150	2	16	prague	prague	PROPN
ap-7150	2	17	stationary	stationary	ADJ
ap-7150	2	18	solutions	solution	NOUN
ap-7150	2	19	of	of	ADP
ap-7150	2	20	incompressible	incompressible	ADJ
ap-7150	2	21	viscous	viscous	ADJ
ap-7150	2	22	flow	flow	NOUN
ap-7150	2	23	in	in	ADP
ap-7150	2	24	a	a	DET
ap-7150	2	25	wall	wall	NOUN
ap-7150	2	26	-	-	PUNCT
ap-7150	2	27	driven	drive	VERB
ap-7150	2	28	semi	semi	ADJ
ap-7150	2	29	-	-	ADJ
ap-7150	2	30	circular	circular	ADJ
ap-7150	2	31	cavity	cavity	NOUN
ap-7150	2	32	ercan	ercan	PROPN
ap-7150	2	33	erturk	erturk	PROPN
ap-7150	2	34	istanbul	istanbul	PROPN
ap-7150	2	35	medeniyet	medeniyet	PROPN
ap-7150	2	36	university	university	PROPN
ap-7150	2	37	,	,	PUNCT
ap-7150	2	38	mechanical	mechanical	ADJ
ap-7150	2	39	engineering	engineering	NOUN
ap-7150	2	40	department	department	NOUN
ap-7150	2	41	,	,	PUNCT
ap-7150	2	42	goztepe	goztepe	NOUN
ap-7150	2	43	campus	campus	NOUN
ap-7150	2	44	,	,	PUNCT
ap-7150	2	45	34700	34700	NUM
ap-7150	2	46	istanbul	istanbul	PROPN
ap-7150	2	47	,	,	PUNCT
ap-7150	2	48	turkey	turkey	NOUN
ap-7150	2	49	correspondence	correspondence	NOUN
ap-7150	2	50	:	:	PUNCT
ap-7150	2	51	ercan.erturk@medeniyet.edu.tr	ercan.erturk@medeniyet.edu.tr	ADJ
ap-7150	2	52	abstract	abstract	ADJ
ap-7150	2	53	.	.	PUNCT
ap-7150	3	1	stationary	stationary	ADJ
ap-7150	3	2	numerical	numerical	ADJ
ap-7150	3	3	solutions	solution	NOUN
ap-7150	3	4	of	of	ADP
ap-7150	3	5	incompressible	incompressible	ADJ
ap-7150	3	6	viscous	viscous	ADJ
ap-7150	3	7	flow	flow	NOUN
ap-7150	3	8	inside	inside	ADP
ap-7150	3	9	a	a	DET
ap-7150	3	10	wall	wall	NOUN
ap-7150	3	11	-	-	PUNCT
ap-7150	3	12	driven	drive	VERB
ap-7150	3	13	semicircular	semicircular	ADJ
ap-7150	3	14	cavity	cavity	NOUN
ap-7150	3	15	are	be	AUX
ap-7150	3	16	presented	present	VERB
ap-7150	3	17	.	.	PUNCT
ap-7150	4	1	after	after	ADP
ap-7150	4	2	a	a	DET
ap-7150	4	3	conformal	conformal	ADJ
ap-7150	4	4	mapping	mapping	NOUN
ap-7150	4	5	of	of	ADP
ap-7150	4	6	the	the	DET
ap-7150	4	7	geometry	geometry	NOUN
ap-7150	4	8	,	,	PUNCT
ap-7150	4	9	using	use	VERB
ap-7150	4	10	a	a	DET
ap-7150	4	11	body	body	NOUN
ap-7150	4	12	-	-	PUNCT
ap-7150	4	13	fitted	fit	VERB
ap-7150	4	14	mesh	mesh	NOUN
ap-7150	4	15	,	,	PUNCT
ap-7150	4	16	the	the	DET
ap-7150	4	17	navier	navier	NOUN
ap-7150	4	18	-	-	PUNCT
ap-7150	4	19	stokes	stoke	NOUN
ap-7150	4	20	equations	equation	NOUN
ap-7150	4	21	are	be	AUX
ap-7150	4	22	solved	solve	VERB
ap-7150	4	23	numerically	numerically	ADV
ap-7150	4	24	.	.	PUNCT
ap-7150	5	1	the	the	DET
ap-7150	5	2	stationary	stationary	ADJ
ap-7150	5	3	solutions	solution	NOUN
ap-7150	5	4	of	of	ADP
ap-7150	5	5	the	the	DET
ap-7150	5	6	flow	flow	NOUN
ap-7150	5	7	in	in	ADP
ap-7150	5	8	a	a	DET
ap-7150	5	9	wall	wall	NOUN
ap-7150	5	10	-	-	PUNCT
ap-7150	5	11	driven	drive	VERB
ap-7150	5	12	semi	semi	ADJ
ap-7150	5	13	-	-	ADJ
ap-7150	5	14	circular	circular	ADJ
ap-7150	5	15	cavity	cavity	NOUN
ap-7150	5	16	are	be	AUX
ap-7150	5	17	computed	compute	VERB
ap-7150	5	18	up	up	ADP
ap-7150	5	19	to	to	PART
ap-7150	5	20	re	re	VERB
ap-7150	5	21	=	=	NOUN
ap-7150	5	22	24000	24000	NUM
ap-7150	5	23	.	.	PUNCT
ap-7150	6	1	the	the	DET
ap-7150	6	2	present	present	ADJ
ap-7150	6	3	results	result	NOUN
ap-7150	6	4	are	be	AUX
ap-7150	6	5	in	in	ADP
ap-7150	6	6	good	good	ADJ
ap-7150	6	7	agreement	agreement	NOUN
ap-7150	6	8	with	with	ADP
ap-7150	6	9	the	the	DET
ap-7150	6	10	published	publish	VERB
ap-7150	6	11	results	result	NOUN
ap-7150	6	12	found	find	VERB
ap-7150	6	13	in	in	ADP
ap-7150	6	14	the	the	DET
ap-7150	6	15	literature	literature	NOUN
ap-7150	6	16	.	.	PUNCT
ap-7150	7	1	our	our	PRON
ap-7150	7	2	results	result	NOUN
ap-7150	7	3	show	show	VERB
ap-7150	7	4	that	that	SCONJ
ap-7150	7	5	as	as	SCONJ
ap-7150	7	6	the	the	DET
ap-7150	7	7	reynolds	reynolds	PROPN
ap-7150	7	8	number	number	NOUN
ap-7150	7	9	increases	increase	VERB
ap-7150	7	10	,	,	PUNCT
ap-7150	7	11	the	the	DET
ap-7150	7	12	sizes	size	NOUN
ap-7150	7	13	of	of	ADP
ap-7150	7	14	the	the	DET
ap-7150	7	15	secondary	secondary	ADJ
ap-7150	7	16	and	and	CCONJ
ap-7150	7	17	tertiary	tertiary	ADJ
ap-7150	7	18	vortices	vortex	NOUN
ap-7150	7	19	increase	increase	NOUN
ap-7150	7	20	,	,	PUNCT
ap-7150	7	21	whereas	whereas	SCONJ
ap-7150	7	22	the	the	DET
ap-7150	7	23	size	size	NOUN
ap-7150	7	24	of	of	ADP
ap-7150	7	25	the	the	DET
ap-7150	7	26	primary	primary	ADJ
ap-7150	7	27	vortex	vortex	NOUN
ap-7150	7	28	decreases	decrease	VERB
ap-7150	7	29	.	.	PUNCT
ap-7150	8	1	at	at	ADP
ap-7150	8	2	large	large	ADJ
ap-7150	8	3	reynolds	reynold	NOUN
ap-7150	8	4	numbers	number	NOUN
ap-7150	8	5	,	,	PUNCT
ap-7150	8	6	the	the	DET
ap-7150	8	7	vorticity	vorticity	NOUN
ap-7150	8	8	at	at	ADP
ap-7150	8	9	the	the	DET
ap-7150	8	10	primary	primary	ADJ
ap-7150	8	11	vortex	vortex	NOUN
ap-7150	8	12	centre	centre	NOUN
ap-7150	8	13	increases	increase	VERB
ap-7150	8	14	almost	almost	ADV
ap-7150	8	15	linearly	linearly	ADV
ap-7150	8	16	stating	state	VERB
ap-7150	8	17	that	that	SCONJ
ap-7150	8	18	batchelor	batchelor	PROPN
ap-7150	8	19	’s	’s	PART
ap-7150	8	20	mean	mean	ADJ
ap-7150	8	21	-	-	PUNCT
ap-7150	8	22	square	square	NOUN
ap-7150	8	23	law	law	NOUN
ap-7150	8	24	is	be	AUX
ap-7150	8	25	not	not	PART
ap-7150	8	26	valid	valid	ADJ
ap-7150	8	27	for	for	ADP
ap-7150	8	28	wall	wall	NOUN
ap-7150	8	29	-	-	PUNCT
ap-7150	8	30	driven	drive	VERB
ap-7150	8	31	semi	semi	ADJ
ap-7150	8	32	-	-	ADJ
ap-7150	8	33	circular	circular	ADJ
ap-7150	8	34	cavity	cavity	NOUN
ap-7150	8	35	flow	flow	NOUN
ap-7150	8	36	.	.	PUNCT
ap-7150	9	1	detailed	detailed	ADJ
ap-7150	9	2	results	result	NOUN
ap-7150	9	3	are	be	AUX
ap-7150	9	4	presented	present	VERB
ap-7150	9	5	and	and	CCONJ
ap-7150	9	6	also	also	ADV
ap-7150	9	7	tabulated	tabulate	VERB
ap-7150	9	8	for	for	ADP
ap-7150	9	9	future	future	ADJ
ap-7150	9	10	references	reference	NOUN
ap-7150	9	11	and	and	CCONJ
ap-7150	9	12	benchmark	benchmark	NOUN
ap-7150	9	13	purposes	purpose	NOUN
ap-7150	9	14	.	.	PUNCT
ap-7150	10	1	keywords	keyword	NOUN
ap-7150	10	2	:	:	PUNCT
ap-7150	10	3	driven	drive	VERB
ap-7150	10	4	semi	semi	ADJ
ap-7150	10	5	-	-	ADJ
ap-7150	10	6	circular	circular	ADJ
ap-7150	10	7	cavity	cavity	NOUN
ap-7150	10	8	flow	flow	NOUN
ap-7150	10	9	,	,	PUNCT
ap-7150	10	10	large	large	ADJ
ap-7150	10	11	reynolds	reynold	NOUN
ap-7150	10	12	number	number	NOUN
ap-7150	10	13	flow	flow	NOUN
ap-7150	10	14	,	,	PUNCT
ap-7150	10	15	numerical	numerical	ADJ
ap-7150	10	16	solutions	solution	NOUN
ap-7150	10	17	,	,	PUNCT
ap-7150	10	18	2	2	NUM
ap-7150	10	19	-	-	SYM
ap-7150	10	20	d	d	ADJ
ap-7150	10	21	incompressible	incompressible	ADJ
ap-7150	10	22	viscous	viscous	ADJ
ap-7150	10	23	flow	flow	NOUN
ap-7150	10	24	.	.	PUNCT
ap-7150	11	1	1	1	X
ap-7150	11	2	.	.	X
ap-7150	11	3	introduction	introduction	NOUN
ap-7150	11	4	flows	flow	NOUN
ap-7150	11	5	in	in	ADP
ap-7150	11	6	enclosures	enclosure	NOUN
ap-7150	11	7	are	be	AUX
ap-7150	11	8	studied	study	VERB
ap-7150	11	9	very	very	ADV
ap-7150	11	10	frequently	frequently	ADV
ap-7150	11	11	in	in	ADP
ap-7150	11	12	computational	computational	ADJ
ap-7150	11	13	fluid	fluid	ADJ
ap-7150	11	14	dynamics	dynamic	NOUN
ap-7150	11	15	studies	study	NOUN
ap-7150	11	16	since	since	SCONJ
ap-7150	11	17	they	they	PRON
ap-7150	11	18	retain	retain	VERB
ap-7150	11	19	rich	rich	ADJ
ap-7150	11	20	flow	flow	NOUN
ap-7150	11	21	physics	physics	NOUN
ap-7150	11	22	in	in	ADP
ap-7150	11	23	rather	rather	ADV
ap-7150	11	24	simple	simple	ADJ
ap-7150	11	25	geometries	geometry	NOUN
ap-7150	11	26	.	.	PUNCT
ap-7150	12	1	the	the	DET
ap-7150	12	2	flow	flow	NOUN
ap-7150	12	3	in	in	ADP
ap-7150	12	4	a	a	DET
ap-7150	12	5	lid	lid	NOUN
ap-7150	12	6	-	-	PUNCT
ap-7150	12	7	driven	drive	VERB
ap-7150	12	8	square	square	ADJ
ap-7150	12	9	cavity	cavity	NOUN
ap-7150	12	10	is	be	AUX
ap-7150	12	11	one	one	NUM
ap-7150	12	12	example	example	NOUN
ap-7150	12	13	for	for	ADP
ap-7150	12	14	flows	flow	NOUN
ap-7150	12	15	in	in	ADP
ap-7150	12	16	enclosures	enclosure	NOUN
ap-7150	12	17	and	and	CCONJ
ap-7150	12	18	the	the	DET
ap-7150	12	19	driven	drive	VERB
ap-7150	12	20	cavity	cavity	NOUN
ap-7150	12	21	flow	flow	NOUN
ap-7150	12	22	is	be	AUX
ap-7150	12	23	studied	study	VERB
ap-7150	12	24	extensively	extensively	ADV
ap-7150	12	25	in	in	ADP
ap-7150	12	26	the	the	DET
ap-7150	12	27	literature	literature	NOUN
ap-7150	12	28	and	and	CCONJ
ap-7150	12	29	among	among	ADP
ap-7150	12	30	a	a	DET
ap-7150	12	31	very	very	ADV
ap-7150	12	32	large	large	ADJ
ap-7150	12	33	number	number	NOUN
ap-7150	12	34	of	of	ADP
ap-7150	12	35	computational	computational	ADJ
ap-7150	12	36	studies	study	NOUN
ap-7150	12	37	,	,	PUNCT
ap-7150	12	38	the	the	DET
ap-7150	12	39	studies	study	NOUN
ap-7150	12	40	[	[	X
ap-7150	12	41	1],[2	1],[2	X
ap-7150	12	42	]	]	PUNCT
ap-7150	12	43	and	and	CCONJ
ap-7150	12	44	[	[	X
ap-7150	12	45	3	3	X
ap-7150	12	46	]	]	PUNCT
ap-7150	12	47	can	can	AUX
ap-7150	12	48	be	be	AUX
ap-7150	12	49	given	give	VERB
ap-7150	12	50	as	as	ADP
ap-7150	12	51	examples	example	NOUN
ap-7150	12	52	.	.	PUNCT
ap-7150	13	1	other	other	ADJ
ap-7150	13	2	than	than	ADP
ap-7150	13	3	the	the	DET
ap-7150	13	4	flow	flow	NOUN
ap-7150	13	5	in	in	ADP
ap-7150	13	6	a	a	DET
ap-7150	13	7	square	square	ADJ
ap-7150	13	8	cavity	cavity	NOUN
ap-7150	13	9	,	,	PUNCT
ap-7150	13	10	in	in	ADP
ap-7150	13	11	the	the	DET
ap-7150	13	12	literature	literature	NOUN
ap-7150	13	13	,	,	PUNCT
ap-7150	13	14	there	there	PRON
ap-7150	13	15	are	be	VERB
ap-7150	13	16	studies	study	NOUN
ap-7150	13	17	on	on	ADP
ap-7150	13	18	flows	flow	NOUN
ap-7150	13	19	in	in	ADP
ap-7150	13	20	different	different	ADJ
ap-7150	13	21	cavity	cavity	NOUN
ap-7150	13	22	geometries	geometry	NOUN
ap-7150	13	23	as	as	ADV
ap-7150	13	24	well	well	ADV
ap-7150	13	25	.	.	PUNCT
ap-7150	14	1	for	for	ADP
ap-7150	14	2	example	example	NOUN
ap-7150	14	3	,	,	PUNCT
ap-7150	14	4	the	the	DET
ap-7150	14	5	flows	flow	NOUN
ap-7150	14	6	in	in	ADP
ap-7150	14	7	a	a	DET
ap-7150	14	8	driven	drive	VERB
ap-7150	14	9	skewed	skewed	ADJ
ap-7150	14	10	cavity	cavity	NOUN
ap-7150	14	11	(	(	PUNCT
ap-7150	14	12	[	[	X
ap-7150	14	13	4	4	NUM
ap-7150	14	14	,	,	PUNCT
ap-7150	14	15	5	5	NUM
ap-7150	14	16	]	]	NUM
ap-7150	14	17	)	)	PUNCT
ap-7150	14	18	,	,	PUNCT
ap-7150	14	19	in	in	ADP
ap-7150	14	20	a	a	DET
ap-7150	14	21	driven	drive	VERB
ap-7150	14	22	triangular	triangular	NOUN
ap-7150	14	23	cavity	cavity	NOUN
ap-7150	14	24	(	(	PUNCT
ap-7150	14	25	[	[	X
ap-7150	14	26	6–8	6–8	NOUN
ap-7150	14	27	]	]	X
ap-7150	14	28	)	)	PUNCT
ap-7150	14	29	and	and	CCONJ
ap-7150	14	30	also	also	ADV
ap-7150	14	31	in	in	ADP
ap-7150	14	32	a	a	DET
ap-7150	14	33	driven	drive	VERB
ap-7150	14	34	trapezoidal	trapezoidal	ADJ
ap-7150	14	35	cavity	cavity	NOUN
ap-7150	14	36	(	(	PUNCT
ap-7150	14	37	[	[	X
ap-7150	14	38	9	9	NUM
ap-7150	14	39	]	]	PUNCT
ap-7150	14	40	)	)	PUNCT
ap-7150	14	41	are	be	AUX
ap-7150	14	42	studied	study	VERB
ap-7150	14	43	in	in	ADP
ap-7150	14	44	numerous	numerous	ADJ
ap-7150	14	45	numerical	numerical	ADJ
ap-7150	14	46	studies	study	NOUN
ap-7150	14	47	in	in	ADP
ap-7150	14	48	the	the	DET
ap-7150	14	49	literature	literature	NOUN
ap-7150	14	50	.	.	PUNCT
ap-7150	15	1	in	in	ADP
ap-7150	15	2	these	these	DET
ap-7150	15	3	enclosures	enclosure	NOUN
ap-7150	15	4	,	,	PUNCT
ap-7150	15	5	the	the	DET
ap-7150	15	6	formation	formation	NOUN
ap-7150	15	7	of	of	ADP
ap-7150	15	8	the	the	DET
ap-7150	15	9	flow	flow	NOUN
ap-7150	15	10	structures	structure	NOUN
ap-7150	15	11	as	as	SCONJ
ap-7150	15	12	the	the	DET
ap-7150	15	13	reynolds	reynolds	PROPN
ap-7150	15	14	number	number	NOUN
ap-7150	15	15	increases	increase	NOUN
ap-7150	15	16	attracts	attract	VERB
ap-7150	15	17	the	the	DET
ap-7150	15	18	attention	attention	NOUN
ap-7150	15	19	of	of	ADP
ap-7150	15	20	researchers	researcher	NOUN
ap-7150	15	21	.	.	PUNCT
ap-7150	16	1	similar	similar	ADJ
ap-7150	16	2	to	to	ADP
ap-7150	16	3	the	the	DET
ap-7150	16	4	flows	flow	NOUN
ap-7150	16	5	in	in	ADP
ap-7150	16	6	different	different	ADJ
ap-7150	16	7	enclosures	enclosure	NOUN
ap-7150	16	8	mentioned	mention	VERB
ap-7150	16	9	above	above	ADV
ap-7150	16	10	,	,	PUNCT
ap-7150	16	11	glowinski	glowinski	VERB
ap-7150	16	12	et	et	PROPN
ap-7150	16	13	al	al	PROPN
ap-7150	16	14	.	.	PUNCT
ap-7150	17	1	[	[	X
ap-7150	17	2	10	10	NUM
ap-7150	17	3	]	]	PUNCT
ap-7150	17	4	studied	study	VERB
ap-7150	17	5	the	the	DET
ap-7150	17	6	flow	flow	NOUN
ap-7150	17	7	in	in	ADP
ap-7150	17	8	a	a	DET
ap-7150	17	9	semi	semi	ADJ
ap-7150	17	10	-	-	ADJ
ap-7150	17	11	circular	circular	ADJ
ap-7150	17	12	cavity	cavity	NOUN
ap-7150	17	13	.	.	PUNCT
ap-7150	18	1	they	they	PRON
ap-7150	18	2	(	(	PUNCT
ap-7150	18	3	[	[	X
ap-7150	18	4	10	10	NUM
ap-7150	18	5	]	]	PUNCT
ap-7150	18	6	)	)	PUNCT
ap-7150	18	7	used	use	VERB
ap-7150	18	8	an	an	DET
ap-7150	18	9	unsteady	unsteady	ADJ
ap-7150	18	10	operator	operator	NOUN
ap-7150	18	11	-	-	PUNCT
ap-7150	18	12	splitting	splitting	NOUN
ap-7150	18	13	/	/	SYM
ap-7150	18	14	finite	finite	ADJ
ap-7150	18	15	elements	element	NOUN
ap-7150	18	16	method	method	NOUN
ap-7150	18	17	and	and	CCONJ
ap-7150	18	18	solved	solve	VERB
ap-7150	18	19	the	the	DET
ap-7150	18	20	governing	govern	VERB
ap-7150	18	21	flow	flow	NOUN
ap-7150	18	22	equations	equation	NOUN
ap-7150	18	23	on	on	ADP
ap-7150	18	24	an	an	DET
ap-7150	18	25	unstructured	unstructured	ADJ
ap-7150	18	26	mesh	mesh	NOUN
ap-7150	18	27	and	and	CCONJ
ap-7150	18	28	presented	present	VERB
ap-7150	18	29	detailed	detailed	ADJ
ap-7150	18	30	stationary	stationary	ADJ
ap-7150	18	31	solutions	solution	NOUN
ap-7150	18	32	of	of	ADP
ap-7150	18	33	the	the	DET
ap-7150	18	34	semi	semi	ADJ
ap-7150	18	35	-	-	ADJ
ap-7150	18	36	circular	circular	ADJ
ap-7150	18	37	cavity	cavity	NOUN
ap-7150	18	38	flow	flow	NOUN
ap-7150	18	39	.	.	PUNCT
ap-7150	19	1	later	later	ADV
ap-7150	19	2	,	,	PUNCT
ap-7150	19	3	yang	yang	PROPN
ap-7150	19	4	et	et	PROPN
ap-7150	19	5	al	al	PROPN
ap-7150	19	6	.	.	PUNCT
ap-7150	20	1	[	[	X
ap-7150	20	2	11	11	NUM
ap-7150	20	3	,	,	PUNCT
ap-7150	20	4	12	12	NUM
ap-7150	20	5	]	]	PUNCT
ap-7150	20	6	and	and	CCONJ
ap-7150	20	7	ding	ding	NOUN
ap-7150	20	8	et	et	PROPN
ap-7150	20	9	al	al	PROPN
ap-7150	20	10	.	.	PUNCT
ap-7150	21	1	[	[	X
ap-7150	21	2	13	13	NUM
ap-7150	21	3	]	]	PUNCT
ap-7150	21	4	numerically	numerically	ADV
ap-7150	21	5	studied	study	VERB
ap-7150	21	6	the	the	DET
ap-7150	21	7	same	same	ADJ
ap-7150	21	8	flow	flow	NOUN
ap-7150	21	9	problem	problem	NOUN
ap-7150	21	10	using	use	VERB
ap-7150	21	11	the	the	DET
ap-7150	21	12	lattice	lattice	NOUN
ap-7150	21	13	boltzmann	boltzmann	PROPN
ap-7150	21	14	method	method	PROPN
ap-7150	21	15	.	.	PUNCT
ap-7150	22	1	also	also	ADV
ap-7150	22	2	,	,	PUNCT
ap-7150	22	3	yu	yu	PROPN
ap-7150	22	4	et	et	PROPN
ap-7150	22	5	al	al	PROPN
ap-7150	22	6	.	.	PUNCT
ap-7150	23	1	[	[	X
ap-7150	23	2	14	14	NUM
ap-7150	23	3	]	]	PUNCT
ap-7150	23	4	solved	solve	VERB
ap-7150	23	5	the	the	DET
ap-7150	23	6	navier	navier	NOUN
ap-7150	23	7	-	-	PUNCT
ap-7150	23	8	stokes	stoke	NOUN
ap-7150	23	9	equations	equation	NOUN
ap-7150	23	10	in	in	ADP
ap-7150	23	11	polar	polar	ADJ
ap-7150	23	12	coordinates	coordinate	NOUN
ap-7150	23	13	using	use	VERB
ap-7150	23	14	a	a	DET
ap-7150	23	15	compact	compact	ADJ
ap-7150	23	16	difference	difference	NOUN
ap-7150	23	17	scheme	scheme	NOUN
ap-7150	23	18	and	and	CCONJ
ap-7150	23	19	simulated	simulate	VERB
ap-7150	23	20	the	the	DET
ap-7150	23	21	semi	semi	ADJ
ap-7150	23	22	-	-	ADJ
ap-7150	23	23	circular	circular	ADJ
ap-7150	23	24	cavity	cavity	NOUN
ap-7150	23	25	flow	flow	NOUN
ap-7150	23	26	problem	problem	NOUN
ap-7150	23	27	.	.	PUNCT
ap-7150	24	1	mercan	mercan	NOUN
ap-7150	24	2	and	and	CCONJ
ap-7150	24	3	atalik	atalik	NOUN
ap-7150	25	1	[	[	X
ap-7150	25	2	15	15	NUM
ap-7150	25	3	]	]	PUNCT
ap-7150	25	4	considered	consider	VERB
ap-7150	25	5	the	the	DET
ap-7150	25	6	arc	arc	NOUN
ap-7150	25	7	-	-	PUNCT
ap-7150	25	8	shaped	shape	VERB
ap-7150	25	9	cavity	cavity	NOUN
ap-7150	25	10	flow	flow	NOUN
ap-7150	25	11	for	for	ADP
ap-7150	25	12	the	the	DET
ap-7150	25	13	semi	semi	ADJ
ap-7150	25	14	-	-	ADJ
ap-7150	25	15	circular	circular	ADJ
ap-7150	25	16	case	case	NOUN
ap-7150	25	17	numerically	numerically	ADV
ap-7150	25	18	using	use	VERB
ap-7150	25	19	an	an	DET
ap-7150	25	20	unsteady	unsteady	ADJ
ap-7150	25	21	finite	finite	ADJ
ap-7150	25	22	difference	difference	NOUN
ap-7150	25	23	method	method	NOUN
ap-7150	25	24	.	.	PUNCT
ap-7150	26	1	they	they	PRON
ap-7150	26	2	(	(	PUNCT
ap-7150	26	3	[	[	X
ap-7150	26	4	15	15	NUM
ap-7150	26	5	]	]	PUNCT
ap-7150	26	6	)	)	PUNCT
ap-7150	26	7	used	use	VERB
ap-7150	26	8	an	an	DET
ap-7150	26	9	elliptic	elliptic	ADJ
ap-7150	26	10	grid	grid	NOUN
ap-7150	26	11	generator	generator	NOUN
ap-7150	26	12	scheme	scheme	NOUN
ap-7150	26	13	in	in	ADP
ap-7150	26	14	order	order	NOUN
ap-7150	26	15	to	to	PART
ap-7150	26	16	obtain	obtain	VERB
ap-7150	26	17	a	a	DET
ap-7150	26	18	body	body	NOUN
ap-7150	26	19	-	-	PUNCT
ap-7150	26	20	fitted	fit	VERB
ap-7150	26	21	general	general	ADJ
ap-7150	26	22	coordinates	coordinate	NOUN
ap-7150	26	23	and	and	CCONJ
ap-7150	26	24	solve	solve	VERB
ap-7150	26	25	the	the	DET
ap-7150	26	26	governing	govern	VERB
ap-7150	26	27	streamfunction	streamfunction	NOUN
ap-7150	26	28	and	and	CCONJ
ap-7150	26	29	vorticity	vorticity	NOUN
ap-7150	26	30	equations	equation	NOUN
ap-7150	26	31	.	.	PUNCT
ap-7150	27	1	in	in	ADP
ap-7150	27	2	their	their	PRON
ap-7150	27	3	study	study	NOUN
ap-7150	27	4	,	,	PUNCT
ap-7150	27	5	they	they	PRON
ap-7150	27	6	(	(	PUNCT
ap-7150	27	7	[	[	X
ap-7150	27	8	15	15	NUM
ap-7150	27	9	]	]	PUNCT
ap-7150	27	10	)	)	PUNCT
ap-7150	27	11	have	have	AUX
ap-7150	27	12	also	also	ADV
ap-7150	27	13	presented	present	VERB
ap-7150	27	14	variations	variation	NOUN
ap-7150	27	15	of	of	ADP
ap-7150	27	16	the	the	DET
ap-7150	27	17	arc	arc	NOUN
ap-7150	27	18	shaped	shape	VERB
ap-7150	27	19	cavity	cavity	NOUN
ap-7150	27	20	flow	flow	NOUN
ap-7150	27	21	with	with	ADP
ap-7150	27	22	different	different	ADJ
ap-7150	27	23	aspect	aspect	NOUN
ap-7150	27	24	ratios	ratio	NOUN
ap-7150	27	25	.	.	PUNCT
ap-7150	28	1	migeon	migeon	PROPN
ap-7150	28	2	et	et	PROPN
ap-7150	28	3	al	al	PROPN
ap-7150	28	4	.	.	PUNCT
ap-7150	29	1	[	[	X
ap-7150	29	2	16	16	NUM
ap-7150	29	3	]	]	PUNCT
ap-7150	29	4	carried	carry	VERB
ap-7150	29	5	out	out	ADP
ap-7150	29	6	experiments	experiment	NOUN
ap-7150	29	7	to	to	PART
ap-7150	29	8	study	study	VERB
ap-7150	29	9	the	the	DET
ap-7150	29	10	flow	flow	NOUN
ap-7150	29	11	development	development	NOUN
ap-7150	29	12	inside	inside	ADP
ap-7150	29	13	a	a	DET
ap-7150	29	14	semi	semi	ADJ
ap-7150	29	15	-	-	ADJ
ap-7150	29	16	circular	circular	ADJ
ap-7150	29	17	cavity	cavity	NOUN
ap-7150	29	18	as	as	ADV
ap-7150	29	19	well	well	ADV
ap-7150	29	20	as	as	ADP
ap-7150	29	21	inside	inside	ADP
ap-7150	29	22	square	square	NOUN
ap-7150	29	23	and	and	CCONJ
ap-7150	29	24	rectangular	rectangular	ADJ
ap-7150	29	25	cavities	cavity	NOUN
ap-7150	29	26	.	.	PUNCT
ap-7150	30	1	they	they	PRON
ap-7150	30	2	(	(	PUNCT
ap-7150	30	3	[	[	X
ap-7150	30	4	16	16	NUM
ap-7150	30	5	]	]	PUNCT
ap-7150	30	6	)	)	PUNCT
ap-7150	30	7	presented	present	VERB
ap-7150	30	8	qualitative	qualitative	ADJ
ap-7150	30	9	experimental	experimental	ADJ
ap-7150	30	10	flow	flow	NOUN
ap-7150	30	11	visualizations	visualization	NOUN
ap-7150	30	12	of	of	ADP
ap-7150	30	13	the	the	DET
ap-7150	30	14	semi	semi	ADJ
ap-7150	30	15	-	-	ADJ
ap-7150	30	16	circular	circular	ADJ
ap-7150	30	17	cavity	cavity	NOUN
ap-7150	30	18	flow	flow	NOUN
ap-7150	30	19	.	.	PUNCT
ap-7150	31	1	at	at	ADP
ap-7150	31	2	large	large	ADJ
ap-7150	31	3	reynolds	reynold	NOUN
ap-7150	31	4	numbers	number	NOUN
ap-7150	31	5	,	,	PUNCT
ap-7150	31	6	the	the	DET
ap-7150	31	7	stationary	stationary	ADJ
ap-7150	31	8	flow	flow	NOUN
ap-7150	31	9	loses	lose	VERB
ap-7150	31	10	stability	stability	NOUN
ap-7150	31	11	and	and	CCONJ
ap-7150	31	12	eventually	eventually	ADV
ap-7150	31	13	,	,	PUNCT
ap-7150	31	14	a	a	DET
ap-7150	31	15	transition	transition	NOUN
ap-7150	31	16	to	to	ADP
ap-7150	31	17	turbulence	turbulence	NOUN
ap-7150	31	18	occurs	occur	VERB
ap-7150	31	19	.	.	PUNCT
ap-7150	32	1	for	for	ADP
ap-7150	32	2	the	the	DET
ap-7150	32	3	navier	navier	NOUN
ap-7150	32	4	-	-	PUNCT
ap-7150	32	5	stokes	stoke	NOUN
ap-7150	32	6	equations	equation	NOUN
ap-7150	32	7	,	,	PUNCT
ap-7150	32	8	the	the	DET
ap-7150	32	9	stationary	stationary	ADJ
ap-7150	32	10	solution	solution	NOUN
ap-7150	32	11	still	still	ADV
ap-7150	32	12	exists	exist	VERB
ap-7150	32	13	at	at	ADP
ap-7150	32	14	large	large	ADJ
ap-7150	32	15	reynolds	reynold	NOUN
ap-7150	32	16	numbers	number	NOUN
ap-7150	32	17	alongside	alongside	ADV
ap-7150	32	18	with	with	ADP
ap-7150	32	19	the	the	DET
ap-7150	32	20	transient	transient	ADJ
ap-7150	32	21	solutions	solution	NOUN
ap-7150	32	22	.	.	PUNCT
ap-7150	33	1	as	as	SCONJ
ap-7150	33	2	stated	state	VERB
ap-7150	33	3	in	in	ADP
ap-7150	33	4	[	[	X
ap-7150	33	5	17	17	NUM
ap-7150	33	6	]	]	PUNCT
ap-7150	33	7	and	and	CCONJ
ap-7150	33	8	[	[	X
ap-7150	33	9	18	18	NUM
ap-7150	33	10	]	]	X
ap-7150	33	11	,	,	PUNCT
ap-7150	33	12	for	for	ADP
ap-7150	33	13	the	the	DET
ap-7150	33	14	theory	theory	NOUN
ap-7150	33	15	of	of	ADP
ap-7150	33	16	the	the	DET
ap-7150	33	17	navier	navier	NOUN
ap-7150	33	18	-	-	PUNCT
ap-7150	33	19	stokes	stoke	NOUN
ap-7150	33	20	model	model	NOUN
ap-7150	33	21	,	,	PUNCT
ap-7150	33	22	it	it	PRON
ap-7150	33	23	is	be	AUX
ap-7150	33	24	important	important	ADJ
ap-7150	33	25	to	to	PART
ap-7150	33	26	study	study	VERB
ap-7150	33	27	the	the	DET
ap-7150	33	28	stationary	stationary	ADJ
ap-7150	33	29	solutions	solution	NOUN
ap-7150	33	30	at	at	ADP
ap-7150	33	31	large	large	ADJ
ap-7150	33	32	reynolds	reynold	NOUN
ap-7150	33	33	numbers	number	NOUN
ap-7150	33	34	even	even	ADV
ap-7150	33	35	when	when	SCONJ
ap-7150	33	36	the	the	DET
ap-7150	33	37	flow	flow	NOUN
ap-7150	33	38	loses	lose	VERB
ap-7150	33	39	stability	stability	NOUN
ap-7150	33	40	.	.	PUNCT
ap-7150	34	1	in	in	ADP
ap-7150	34	2	order	order	NOUN
ap-7150	34	3	to	to	PART
ap-7150	34	4	illustrate	illustrate	VERB
ap-7150	34	5	the	the	DET
ap-7150	34	6	point	point	NOUN
ap-7150	34	7	,	,	PUNCT
ap-7150	34	8	the	the	DET
ap-7150	34	9	classical	classical	ADJ
ap-7150	34	10	flow	flow	NOUN
ap-7150	34	11	problem	problem	NOUN
ap-7150	34	12	of	of	ADP
ap-7150	34	13	the	the	DET
ap-7150	34	14	incompressible	incompressible	ADJ
ap-7150	34	15	viscous	viscous	ADJ
ap-7150	34	16	flow	flow	NOUN
ap-7150	34	17	around	around	ADP
ap-7150	34	18	a	a	DET
ap-7150	34	19	circular	circular	ADJ
ap-7150	34	20	cylinder	cylinder	NOUN
ap-7150	34	21	can	can	AUX
ap-7150	34	22	be	be	AUX
ap-7150	34	23	given	give	VERB
ap-7150	34	24	as	as	ADP
ap-7150	34	25	an	an	DET
ap-7150	34	26	example	example	NOUN
ap-7150	34	27	.	.	PUNCT
ap-7150	35	1	for	for	ADP
ap-7150	35	2	this	this	DET
ap-7150	35	3	flow	flow	NOUN
ap-7150	35	4	problem	problem	NOUN
ap-7150	35	5	,	,	PUNCT
ap-7150	35	6	it	it	PRON
ap-7150	35	7	is	be	AUX
ap-7150	35	8	well	well	ADV
ap-7150	35	9	known	know	VERB
ap-7150	35	10	that	that	SCONJ
ap-7150	35	11	the	the	DET
ap-7150	35	12	flow	flow	NOUN
ap-7150	35	13	is	be	AUX
ap-7150	35	14	stationary	stationary	ADJ
ap-7150	35	15	up	up	ADP
ap-7150	35	16	to	to	ADP
ap-7150	35	17	reynolds	reynolds	PROPN
ap-7150	35	18	number	number	NOUN
ap-7150	35	19	of	of	ADP
ap-7150	35	20	approximately	approximately	ADV
ap-7150	35	21	40	40	NUM
ap-7150	35	22	.	.	PUNCT
ap-7150	36	1	above	above	ADP
ap-7150	36	2	this	this	DET
ap-7150	36	3	reynolds	reynolds	PROPN
ap-7150	36	4	number	number	NOUN
ap-7150	36	5	(	(	PUNCT
ap-7150	36	6	re	re	NOUN
ap-7150	36	7	=	=	NOUN
ap-7150	36	8	40	40	NUM
ap-7150	36	9	)	)	PUNCT
ap-7150	36	10	,	,	PUNCT
ap-7150	36	11	the	the	DET
ap-7150	36	12	flow	flow	NOUN
ap-7150	36	13	over	over	ADP
ap-7150	36	14	a	a	DET
ap-7150	36	15	circular	circular	ADJ
ap-7150	36	16	cylinder	cylinder	NOUN
ap-7150	36	17	becomes	become	VERB
ap-7150	36	18	unsteady	unsteady	ADJ
ap-7150	36	19	and	and	CCONJ
ap-7150	36	20	karman	karman	PROPN
ap-7150	36	21	vortex	vortex	PROPN
ap-7150	36	22	street	street	PROPN
ap-7150	36	23	appears	appear	VERB
ap-7150	36	24	in	in	ADP
ap-7150	36	25	the	the	DET
ap-7150	36	26	downstream	downstream	ADJ
ap-7150	36	27	flow	flow	NOUN
ap-7150	36	28	field	field	NOUN
ap-7150	36	29	.	.	PUNCT
ap-7150	37	1	in	in	ADP
ap-7150	37	2	the	the	DET
ap-7150	37	3	case	case	NOUN
ap-7150	37	4	of	of	ADP
ap-7150	37	5	vanishing	vanish	VERB
ap-7150	37	6	viscosity	viscosity	NOUN
ap-7150	37	7	(	(	PUNCT
ap-7150	37	8	i.e.	i.e.	X
ap-7150	37	9	large	large	ADJ
ap-7150	37	10	reynolds	reynold	NOUN
ap-7150	37	11	number	number	PROPN
ap-7150	37	12	)	)	PUNCT
ap-7150	37	13	,	,	PUNCT
ap-7150	37	14	helmholtz	helmholtz	NOUN
ap-7150	37	15	-	-	PUNCT
ap-7150	37	16	kirchhoff	kirchhoff	NOUN
ap-7150	37	17	solution	solution	NOUN
ap-7150	37	18	(	(	PUNCT
ap-7150	37	19	see	see	VERB
ap-7150	37	20	[	[	X
ap-7150	37	21	19	19	NUM
ap-7150	37	22	]	]	PUNCT
ap-7150	37	23	)	)	PUNCT
ap-7150	37	24	presents	present	VERB
ap-7150	37	25	a	a	DET
ap-7150	37	26	limiting	limit	VERB
ap-7150	37	27	solution	solution	NOUN
ap-7150	37	28	when	when	SCONJ
ap-7150	37	29	re	re	X
ap-7150	37	30	→	→	SYM
ap-7150	37	31	∞.	∞.	PROPN
ap-7150	37	32	in	in	ADP
ap-7150	37	33	the	the	DET
ap-7150	37	34	literature	literature	NOUN
ap-7150	37	35	,	,	PUNCT
ap-7150	37	36	smith	smith	PROPN
ap-7150	38	1	[	[	X
ap-7150	38	2	20	20	NUM
ap-7150	38	3	]	]	PUNCT
ap-7150	38	4	and	and	CCONJ
ap-7150	38	5	peregrine	peregrine	NOUN
ap-7150	39	1	[	[	X
ap-7150	39	2	21	21	NUM
ap-7150	39	3	]	]	PUNCT
ap-7150	39	4	analysed	analyse	VERB
ap-7150	39	5	the	the	DET
ap-7150	39	6	laminar	laminar	ADJ
ap-7150	39	7	incompressible	incompressible	ADJ
ap-7150	39	8	flow	flow	NOUN
ap-7150	39	9	past	past	ADP
ap-7150	39	10	a	a	DET
ap-7150	39	11	circular	circular	ADJ
ap-7150	39	12	cylinder	cylinder	NOUN
ap-7150	39	13	at	at	ADP
ap-7150	39	14	large	large	ADJ
ap-7150	39	15	reynolds	reynold	NOUN
ap-7150	39	16	numbers	number	NOUN
ap-7150	39	17	mathematically	mathematically	ADV
ap-7150	39	18	.	.	PUNCT
ap-7150	40	1	also	also	ADV
ap-7150	40	2	,	,	PUNCT
ap-7150	40	3	in	in	ADP
ap-7150	40	4	the	the	DET
ap-7150	40	5	literature	literature	NOUN
ap-7150	40	6	,	,	PUNCT
ap-7150	40	7	there	there	PRON
ap-7150	40	8	are	be	VERB
ap-7150	40	9	numerical	numerical	ADJ
ap-7150	40	10	studies	study	NOUN
ap-7150	40	11	that	that	PRON
ap-7150	40	12	analysed	analyse	VERB
ap-7150	40	13	the	the	DET
ap-7150	40	14	incompressible	incompressible	ADJ
ap-7150	40	15	steady	steady	ADJ
ap-7150	40	16	viscous	viscous	ADJ
ap-7150	40	17	flow	flow	NOUN
ap-7150	40	18	past	past	ADP
ap-7150	40	19	a	a	DET
ap-7150	40	20	circular	circular	ADJ
ap-7150	40	21	cylinder	cylinder	NOUN
ap-7150	40	22	at	at	ADP
ap-7150	40	23	large	large	ADJ
ap-7150	40	24	reynolds	reynold	NOUN
ap-7150	40	25	numbers	number	NOUN
ap-7150	40	26	(	(	PUNCT
ap-7150	40	27	well	well	ADV
ap-7150	40	28	above	above	ADP
ap-7150	40	29	re	re	VERB
ap-7150	40	30	=	=	NOUN
ap-7150	40	31	40	40	NUM
ap-7150	40	32	)	)	PUNCT
ap-7150	40	33	,	,	PUNCT
ap-7150	40	34	such	such	ADJ
ap-7150	40	35	as	as	ADP
ap-7150	40	36	[	[	X
ap-7150	40	37	17	17	NUM
ap-7150	40	38	,	,	PUNCT
ap-7150	40	39	18	18	NUM
ap-7150	40	40	,	,	PUNCT
ap-7150	40	41	22–27	22–27	NUM
ap-7150	40	42	]	]	PUNCT
ap-7150	40	43	.	.	PUNCT
ap-7150	41	1	as	as	ADP
ap-7150	41	2	christov	christov	PROPN
ap-7150	41	3	et	et	PROPN
ap-7150	41	4	al	al	PROPN
ap-7150	41	5	.	.	PUNCT
ap-7150	42	1	[	[	X
ap-7150	42	2	27	27	NUM
ap-7150	42	3	]	]	PUNCT
ap-7150	42	4	stated	state	VERB
ap-7150	42	5	,	,	PUNCT
ap-7150	42	6	when	when	SCONJ
ap-7150	42	7	re	re	X
ap-7150	42	8	→	→	SYM
ap-7150	42	9	∞	∞	PROPN
ap-7150	42	10	,	,	PUNCT
ap-7150	42	11	without	without	ADP
ap-7150	42	12	dissipation	dissipation	NOUN
ap-7150	42	13	,	,	PUNCT
ap-7150	42	14	the	the	DET
ap-7150	42	15	limiting	limit	VERB
ap-7150	42	16	solutions	solution	NOUN
ap-7150	42	17	of	of	ADP
ap-7150	42	18	the	the	DET
ap-7150	42	19	navier	navier	NOUN
ap-7150	42	20	-	-	PUNCT
ap-7150	42	21	stokes	stokes	PROPN
ap-7150	42	22	is	be	AUX
ap-7150	42	23	an	an	DET
ap-7150	42	24	important	important	ADJ
ap-7150	42	25	fundamental	fundamental	ADJ
ap-7150	42	26	problem	problem	NOUN
ap-7150	42	27	.	.	PUNCT
ap-7150	43	1	516	516	NUM
ap-7150	43	2	https://doi.org/10.14311/ap.2021.61.0516	https://doi.org/10.14311/ap.2021.61.0516	PROPN
ap-7150	43	3	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
ap-7150	43	4	https://www.cvut.cz/en	https://www.cvut.cz/en	PROPN
ap-7150	43	5	vol	vol	NOUN
ap-7150	43	6	.	.	PROPN
ap-7150	44	1	61	61	NUM
ap-7150	44	2	no	no	NOUN
ap-7150	44	3	.	.	PUNCT
ap-7150	45	1	4/2021	4/2021	PROPN
ap-7150	45	2	wall	wall	NOUN
ap-7150	45	3	-	-	PUNCT
ap-7150	45	4	driven	drive	VERB
ap-7150	45	5	semi	semi	ADJ
ap-7150	45	6	-	-	ADJ
ap-7150	45	7	circular	circular	ADJ
ap-7150	45	8	cavity	cavity	NOUN
ap-7150	45	9	flow	flow	NOUN
ap-7150	45	10	in	in	ADP
ap-7150	45	11	this	this	DET
ap-7150	45	12	study	study	NOUN
ap-7150	45	13	,	,	PUNCT
ap-7150	45	14	we	we	PRON
ap-7150	45	15	numerically	numerically	ADV
ap-7150	45	16	investigate	investigate	VERB
ap-7150	45	17	the	the	DET
ap-7150	45	18	behavior	behavior	NOUN
ap-7150	45	19	of	of	ADP
ap-7150	45	20	the	the	DET
ap-7150	45	21	stationary	stationary	ADJ
ap-7150	45	22	solutions	solution	NOUN
ap-7150	45	23	of	of	ADP
ap-7150	45	24	an	an	DET
ap-7150	45	25	incompressible	incompressible	ADJ
ap-7150	45	26	viscous	viscous	ADJ
ap-7150	45	27	flow	flow	NOUN
ap-7150	45	28	in	in	ADP
ap-7150	45	29	a	a	DET
ap-7150	45	30	wall	wall	NOUN
ap-7150	45	31	-	-	PUNCT
ap-7150	45	32	driven	drive	VERB
ap-7150	45	33	semi	semi	ADJ
ap-7150	45	34	-	-	ADJ
ap-7150	45	35	circular	circular	ADJ
ap-7150	45	36	cavity	cavity	NOUN
ap-7150	45	37	at	at	ADP
ap-7150	45	38	large	large	ADJ
ap-7150	45	39	reynolds	reynold	NOUN
ap-7150	45	40	numbers	number	NOUN
ap-7150	45	41	.	.	PUNCT
ap-7150	46	1	in	in	ADP
ap-7150	46	2	our	our	PRON
ap-7150	46	3	study	study	NOUN
ap-7150	46	4	,	,	PUNCT
ap-7150	46	5	unlike	unlike	ADP
ap-7150	46	6	in	in	ADP
ap-7150	46	7	[	[	X
ap-7150	46	8	10	10	NUM
ap-7150	46	9	,	,	PUNCT
ap-7150	46	10	11	11	NUM
ap-7150	46	11	,	,	PUNCT
ap-7150	46	12	13	13	NUM
ap-7150	46	13	,	,	PUNCT
ap-7150	46	14	15	15	NUM
ap-7150	46	15	]	]	PUNCT
ap-7150	46	16	,	,	PUNCT
ap-7150	46	17	as	as	SCONJ
ap-7150	46	18	discussed	discuss	VERB
ap-7150	46	19	in	in	ADP
ap-7150	46	20	[	[	X
ap-7150	46	21	28	28	NUM
ap-7150	46	22	]	]	PUNCT
ap-7150	46	23	,	,	PUNCT
ap-7150	46	24	we	we	PRON
ap-7150	46	25	use	use	VERB
ap-7150	46	26	a	a	DET
ap-7150	46	27	steady	steady	ADJ
ap-7150	46	28	approach	approach	NOUN
ap-7150	46	29	and	and	CCONJ
ap-7150	46	30	solve	solve	VERB
ap-7150	46	31	the	the	DET
ap-7150	46	32	governing	govern	VERB
ap-7150	46	33	steady	steady	ADJ
ap-7150	46	34	navier	navier	NOUN
ap-7150	46	35	-	-	PUNCT
ap-7150	46	36	stokes	stoke	NOUN
ap-7150	46	37	equations	equation	NOUN
ap-7150	46	38	.	.	PUNCT
ap-7150	47	1	we	we	PRON
ap-7150	47	2	used	use	VERB
ap-7150	47	3	complex	complex	ADJ
ap-7150	47	4	algebra	algebra	NOUN
ap-7150	47	5	and	and	CCONJ
ap-7150	47	6	mapped	map	VERB
ap-7150	47	7	the	the	DET
ap-7150	47	8	considered	consider	VERB
ap-7150	47	9	semi	semi	ADJ
ap-7150	47	10	-	-	ADJ
ap-7150	47	11	circular	circular	ADJ
ap-7150	47	12	geometry	geometry	NOUN
ap-7150	47	13	into	into	ADP
ap-7150	47	14	an	an	DET
ap-7150	47	15	infinite	infinite	ADJ
ap-7150	47	16	half	half	NOUN
ap-7150	47	17	domain	domain	NOUN
ap-7150	47	18	conformally	conformally	ADV
ap-7150	47	19	in	in	ADP
ap-7150	47	20	order	order	NOUN
ap-7150	47	21	to	to	PART
ap-7150	47	22	analytically	analytically	ADV
ap-7150	47	23	obtain	obtain	VERB
ap-7150	47	24	a	a	DET
ap-7150	47	25	body	body	NOUN
ap-7150	47	26	-	-	PUNCT
ap-7150	47	27	fitted	fit	VERB
ap-7150	47	28	mesh	mesh	NOUN
ap-7150	47	29	.	.	PUNCT
ap-7150	48	1	for	for	ADP
ap-7150	48	2	the	the	DET
ap-7150	48	3	solution	solution	NOUN
ap-7150	48	4	of	of	ADP
ap-7150	48	5	the	the	DET
ap-7150	48	6	semicircular	semicircular	ADJ
ap-7150	48	7	cavity	cavity	NOUN
ap-7150	48	8	flow	flow	NOUN
ap-7150	48	9	problem	problem	NOUN
ap-7150	48	10	,	,	PUNCT
ap-7150	48	11	the	the	DET
ap-7150	48	12	streamfunction	streamfunction	NOUN
ap-7150	48	13	and	and	CCONJ
ap-7150	48	14	vorticity	vorticity	NOUN
ap-7150	48	15	equations	equation	NOUN
ap-7150	48	16	are	be	AUX
ap-7150	48	17	solved	solve	VERB
ap-7150	48	18	iteratively	iteratively	ADV
ap-7150	48	19	up	up	ADP
ap-7150	48	20	to	to	ADP
ap-7150	48	21	large	large	ADJ
ap-7150	48	22	reynolds	reynold	NOUN
ap-7150	48	23	numbers	number	NOUN
ap-7150	48	24	.	.	PUNCT
ap-7150	49	1	the	the	DET
ap-7150	49	2	present	present	ADJ
ap-7150	49	3	numerical	numerical	ADJ
ap-7150	49	4	results	result	NOUN
ap-7150	49	5	are	be	AUX
ap-7150	49	6	compared	compare	VERB
ap-7150	49	7	in	in	ADP
ap-7150	49	8	detail	detail	NOUN
ap-7150	49	9	with	with	ADP
ap-7150	49	10	the	the	DET
ap-7150	49	11	results	result	NOUN
ap-7150	49	12	of	of	ADP
ap-7150	49	13	[	[	X
ap-7150	49	14	10	10	NUM
ap-7150	49	15	,	,	PUNCT
ap-7150	49	16	12	12	NUM
ap-7150	49	17	,	,	PUNCT
ap-7150	49	18	14	14	NUM
ap-7150	49	19	,	,	PUNCT
ap-7150	49	20	15	15	NUM
ap-7150	49	21	]	]	PUNCT
ap-7150	49	22	.	.	PUNCT
ap-7150	50	1	for	for	ADP
ap-7150	50	2	the	the	DET
ap-7150	50	3	flows	flow	NOUN
ap-7150	50	4	in	in	ADP
ap-7150	50	5	enclosures	enclosure	NOUN
ap-7150	50	6	,	,	PUNCT
ap-7150	50	7	batchelor	batchelor	PROPN
ap-7150	50	8	’s	’s	PART
ap-7150	50	9	mean	mean	PROPN
ap-7150	50	10	square	square	ADJ
ap-7150	50	11	law	law	NOUN
ap-7150	50	12	(	(	PUNCT
ap-7150	50	13	[	[	X
ap-7150	50	14	29	29	NUM
ap-7150	50	15	]	]	SYM
ap-7150	50	16	)	)	PUNCT
ap-7150	50	17	states	state	VERB
ap-7150	50	18	that	that	SCONJ
ap-7150	50	19	the	the	DET
ap-7150	50	20	flow	flow	NOUN
ap-7150	50	21	,	,	PUNCT
ap-7150	50	22	which	which	PRON
ap-7150	50	23	is	be	AUX
ap-7150	50	24	coupled	couple	VERB
ap-7150	50	25	to	to	ADP
ap-7150	50	26	the	the	DET
ap-7150	50	27	solid	solid	ADJ
ap-7150	50	28	wall	wall	NOUN
ap-7150	50	29	velocities	velocity	NOUN
ap-7150	50	30	at	at	ADP
ap-7150	50	31	the	the	DET
ap-7150	50	32	boundaries	boundary	NOUN
ap-7150	50	33	,	,	PUNCT
ap-7150	50	34	should	should	AUX
ap-7150	50	35	have	have	VERB
ap-7150	50	36	a	a	DET
ap-7150	50	37	solid	solid	ADJ
ap-7150	50	38	body	body	NOUN
ap-7150	50	39	motion	motion	NOUN
ap-7150	50	40	inside	inside	ADP
ap-7150	50	41	the	the	DET
ap-7150	50	42	enclosure	enclosure	NOUN
ap-7150	50	43	with	with	ADP
ap-7150	50	44	a	a	DET
ap-7150	50	45	uniform	uniform	ADJ
ap-7150	50	46	vorticity	vorticity	NOUN
ap-7150	50	47	at	at	ADP
ap-7150	50	48	large	large	ADJ
ap-7150	50	49	reynolds	reynold	NOUN
ap-7150	50	50	numbers	number	NOUN
ap-7150	50	51	and	and	CCONJ
ap-7150	50	52	the	the	DET
ap-7150	50	53	flow	flow	NOUN
ap-7150	50	54	quantities	quantity	NOUN
ap-7150	50	55	should	should	AUX
ap-7150	50	56	converge	converge	VERB
ap-7150	50	57	to	to	ADP
ap-7150	50	58	the	the	DET
ap-7150	50	59	limiting	limit	VERB
ap-7150	50	60	values	value	NOUN
ap-7150	50	61	.	.	PUNCT
ap-7150	51	1	we	we	PRON
ap-7150	51	2	examine	examine	VERB
ap-7150	51	3	whether	whether	SCONJ
ap-7150	51	4	or	or	CCONJ
ap-7150	51	5	not	not	PART
ap-7150	51	6	the	the	DET
ap-7150	51	7	batchelor	batchelor	PROPN
ap-7150	51	8	’s	’s	PART
ap-7150	51	9	model	model	NOUN
ap-7150	51	10	(	(	PUNCT
ap-7150	51	11	[	[	X
ap-7150	51	12	29	29	NUM
ap-7150	51	13	]	]	PUNCT
ap-7150	51	14	)	)	PUNCT
ap-7150	51	15	is	be	AUX
ap-7150	51	16	valid	valid	ADJ
ap-7150	51	17	for	for	ADP
ap-7150	51	18	the	the	DET
ap-7150	51	19	wall	wall	NOUN
ap-7150	51	20	-	-	PUNCT
ap-7150	51	21	driven	drive	VERB
ap-7150	51	22	semi	semi	ADJ
ap-7150	51	23	-	-	ADJ
ap-7150	51	24	circular	circular	ADJ
ap-7150	51	25	cavity	cavity	NOUN
ap-7150	51	26	flow	flow	NOUN
ap-7150	51	27	problem	problem	NOUN
ap-7150	51	28	.	.	PUNCT
ap-7150	52	1	detailed	detailed	ADJ
ap-7150	52	2	results	result	NOUN
ap-7150	52	3	are	be	AUX
ap-7150	52	4	presented	present	VERB
ap-7150	52	5	.	.	PUNCT
ap-7150	53	1	2	2	X
ap-7150	53	2	.	.	X
ap-7150	53	3	numerical	numerical	PROPN
ap-7150	53	4	method	method	PROPN
ap-7150	53	5	the	the	DET
ap-7150	53	6	schematic	schematic	ADJ
ap-7150	53	7	view	view	NOUN
ap-7150	53	8	of	of	ADP
ap-7150	53	9	the	the	DET
ap-7150	53	10	considered	consider	VERB
ap-7150	53	11	flow	flow	NOUN
ap-7150	53	12	problem	problem	NOUN
ap-7150	53	13	,	,	PUNCT
ap-7150	53	14	i.e.	i.e.	X
ap-7150	53	15	,	,	PUNCT
ap-7150	53	16	the	the	DET
ap-7150	53	17	semi	semi	ADJ
ap-7150	53	18	-	-	ADJ
ap-7150	53	19	circular	circular	ADJ
ap-7150	53	20	cavity	cavity	NOUN
ap-7150	53	21	flow	flow	NOUN
ap-7150	53	22	,	,	PUNCT
ap-7150	53	23	is	be	AUX
ap-7150	53	24	given	give	VERB
ap-7150	53	25	in	in	ADP
ap-7150	53	26	figure	figure	NOUN
ap-7150	53	27	1	1	NUM
ap-7150	53	28	.	.	PUNCT
ap-7150	54	1	the	the	DET
ap-7150	54	2	width	width	NOUN
ap-7150	54	3	of	of	ADP
ap-7150	54	4	the	the	DET
ap-7150	54	5	top	top	ADJ
ap-7150	54	6	moving	move	VERB
ap-7150	54	7	lid	lid	NOUN
ap-7150	54	8	,	,	PUNCT
ap-7150	54	9	i.e.	i.e.	X
ap-7150	54	10	,	,	PUNCT
ap-7150	54	11	the	the	DET
ap-7150	54	12	straight	straight	ADJ
ap-7150	54	13	top	top	ADJ
ap-7150	54	14	side	side	NOUN
ap-7150	54	15	of	of	ADP
ap-7150	54	16	the	the	DET
ap-7150	54	17	semi	semi	ADJ
ap-7150	54	18	-	-	ADJ
ap-7150	54	19	circular	circular	ADJ
ap-7150	54	20	cavity	cavity	NOUN
ap-7150	54	21	,	,	PUNCT
ap-7150	54	22	is	be	AUX
ap-7150	54	23	equal	equal	ADJ
ap-7150	54	24	to	to	ADP
ap-7150	54	25	1	1	NUM
ap-7150	54	26	and	and	CCONJ
ap-7150	54	27	the	the	DET
ap-7150	54	28	velocity	velocity	NOUN
ap-7150	54	29	of	of	ADP
ap-7150	54	30	this	this	DET
ap-7150	54	31	lid	lid	NOUN
ap-7150	54	32	is	be	AUX
ap-7150	54	33	also	also	ADV
ap-7150	54	34	equal	equal	ADJ
ap-7150	54	35	to	to	ADP
ap-7150	54	36	1	1	NUM
ap-7150	54	37	.	.	PUNCT
ap-7150	55	1	the	the	DET
ap-7150	55	2	steady	steady	ADJ
ap-7150	55	3	incompressible	incompressible	ADJ
ap-7150	55	4	viscous	viscous	ADJ
ap-7150	55	5	flow	flow	NOUN
ap-7150	55	6	in	in	ADP
ap-7150	55	7	a	a	DET
ap-7150	55	8	walldriven	walldriven	ADJ
ap-7150	55	9	semi	semi	ADJ
ap-7150	55	10	-	-	ADJ
ap-7150	55	11	circular	circular	ADJ
ap-7150	55	12	cavity	cavity	NOUN
ap-7150	55	13	is	be	AUX
ap-7150	55	14	governed	govern	VERB
ap-7150	55	15	by	by	ADP
ap-7150	55	16	the	the	DET
ap-7150	55	17	navierstokes	navierstoke	NOUN
ap-7150	55	18	equation	equation	NOUN
ap-7150	55	19	.	.	PUNCT
ap-7150	56	1	we	we	PRON
ap-7150	56	2	consider	consider	VERB
ap-7150	56	3	the	the	DET
ap-7150	56	4	governing	govern	VERB
ap-7150	56	5	equations	equation	NOUN
ap-7150	56	6	in	in	ADP
ap-7150	56	7	streamfunction	streamfunction	NOUN
ap-7150	56	8	and	and	CCONJ
ap-7150	56	9	vorticity	vorticity	NOUN
ap-7150	56	10	formulation	formulation	NOUN
ap-7150	56	11	as	as	SCONJ
ap-7150	56	12	the	the	DET
ap-7150	56	13	following	follow	VERB
ap-7150	56	14	ψyωx	ψyωx	PROPN
ap-7150	56	15	−	−	PROPN
ap-7150	56	16	ψxωy	ψxωy	NOUN
ap-7150	56	17	=	=	SYM
ap-7150	56	18	1	1	NUM
ap-7150	56	19	re	re	ADP
ap-7150	56	20	(	(	PUNCT
ap-7150	56	21	ωxx	ωxx	VERB
ap-7150	56	22	+	+	SYM
ap-7150	56	23	ωyy	ωyy	NOUN
ap-7150	56	24	)	)	PUNCT
ap-7150	56	25	(	(	PUNCT
ap-7150	56	26	1	1	X
ap-7150	56	27	)	)	PUNCT
ap-7150	56	28	ψxx	ψxx	NOUN
ap-7150	56	29	+	+	CCONJ
ap-7150	56	30	ψyy	ψyy	NOUN
ap-7150	56	31	=	=	SYM
ap-7150	56	32	ω	ω	PROPN
ap-7150	56	33	(	(	PUNCT
ap-7150	56	34	2	2	NUM
ap-7150	56	35	)	)	PUNCT
ap-7150	56	36	where	where	SCONJ
ap-7150	56	37	re	re	NOUN
ap-7150	56	38	is	be	AUX
ap-7150	56	39	the	the	DET
ap-7150	56	40	reynolds	reynolds	PROPN
ap-7150	56	41	number	number	NOUN
ap-7150	56	42	based	base	VERB
ap-7150	56	43	on	on	ADP
ap-7150	56	44	the	the	DET
ap-7150	56	45	velocity	velocity	NOUN
ap-7150	56	46	of	of	ADP
ap-7150	56	47	the	the	DET
ap-7150	56	48	top	top	ADJ
ap-7150	56	49	lid	lid	NOUN
ap-7150	56	50	(	(	PUNCT
ap-7150	56	51	u	u	NOUN
ap-7150	56	52	)	)	PUNCT
ap-7150	56	53	and	and	CCONJ
ap-7150	56	54	the	the	DET
ap-7150	56	55	width	width	NOUN
ap-7150	56	56	of	of	ADP
ap-7150	56	57	the	the	DET
ap-7150	56	58	lid	lid	NOUN
ap-7150	56	59	(	(	PUNCT
ap-7150	56	60	l	l	NOUN
ap-7150	56	61	)	)	PUNCT
ap-7150	56	62	which	which	PRON
ap-7150	56	63	are	be	AUX
ap-7150	56	64	both	both	CCONJ
ap-7150	56	65	equal	equal	ADJ
ap-7150	56	66	to	to	ADP
ap-7150	56	67	unity	unity	NOUN
ap-7150	56	68	.	.	PUNCT
ap-7150	57	1	tv	tv	NOUN
ap-7150	57	2	tv	tv	PROPN
ap-7150	57	3	end	end	NOUN
ap-7150	57	4	sv	sv	INTJ
ap-7150	57	5	begin	begin	VERB
ap-7150	57	6	sv	sv	INTJ
ap-7150	57	7	end	end	NOUN
ap-7150	57	8	begin	begin	VERB
ap-7150	57	9	lid	lid	NOUN
ap-7150	57	10	width	width	ADJ
ap-7150	57	11	=	=	NOUN
ap-7150	57	12	l	l	NOUN
ap-7150	57	13	figure	figure	NOUN
ap-7150	57	14	1	1	NUM
ap-7150	57	15	.	.	PUNCT
ap-7150	57	16	schematic	schematic	ADJ
ap-7150	57	17	view	view	NOUN
ap-7150	57	18	of	of	ADP
ap-7150	57	19	the	the	DET
ap-7150	57	20	considered	consider	VERB
ap-7150	57	21	flow	flow	NOUN
ap-7150	57	22	problem	problem	NOUN
ap-7150	57	23	,	,	PUNCT
ap-7150	57	24	boundary	boundary	ADJ
ap-7150	57	25	conditions	condition	NOUN
ap-7150	57	26	and	and	CCONJ
ap-7150	57	27	flow	flow	NOUN
ap-7150	57	28	topology	topology	NOUN
ap-7150	57	29	of	of	ADP
ap-7150	57	30	the	the	DET
ap-7150	57	31	semi	semi	ADJ
ap-7150	57	32	-	-	ADJ
ap-7150	57	33	circular	circular	ADJ
ap-7150	57	34	cavity	cavity	NOUN
ap-7150	57	35	flow	flow	NOUN
ap-7150	57	36	.	.	PUNCT
ap-7150	58	1	2.1	2.1	NUM
ap-7150	58	2	.	.	PUNCT
ap-7150	58	3	numerical	numerical	ADJ
ap-7150	58	4	mesh	mesh	NOUN
ap-7150	58	5	in	in	ADP
ap-7150	58	6	computational	computational	ADJ
ap-7150	58	7	fluid	fluid	ADJ
ap-7150	58	8	dynamics	dynamic	NOUN
ap-7150	58	9	,	,	PUNCT
ap-7150	58	10	it	it	PRON
ap-7150	58	11	is	be	AUX
ap-7150	58	12	always	always	ADV
ap-7150	58	13	preferred	preferred	ADJ
ap-7150	58	14	to	to	PART
ap-7150	58	15	use	use	VERB
ap-7150	58	16	a	a	DET
ap-7150	58	17	body	body	NOUN
ap-7150	58	18	-	-	PUNCT
ap-7150	58	19	fitted	fit	VERB
ap-7150	58	20	orthogonal	orthogonal	ADJ
ap-7150	58	21	coordinate	coordinate	NOUN
ap-7150	58	22	system	system	NOUN
ap-7150	58	23	for	for	ADP
ap-7150	58	24	numerical	numerical	ADJ
ap-7150	58	25	solutions	solution	NOUN
ap-7150	58	26	.	.	PUNCT
ap-7150	59	1	using	use	VERB
ap-7150	59	2	a	a	DET
ap-7150	59	3	complex	complex	ADJ
ap-7150	59	4	variable	variable	ADJ
ap-7150	59	5	analysis	analysis	NOUN
ap-7150	59	6	,	,	PUNCT
ap-7150	59	7	one	one	PRON
ap-7150	59	8	can	can	AUX
ap-7150	59	9	obtain	obtain	VERB
ap-7150	59	10	that	that	SCONJ
ap-7150	59	11	the	the	DET
ap-7150	59	12	following	follow	VERB
ap-7150	59	13	complex	complex	ADJ
ap-7150	59	14	function	function	NOUN
ap-7150	59	15	w	w	NOUN
ap-7150	59	16	=	=	PUNCT
ap-7150	59	17	ln	ln	ADJ
ap-7150	59	18	z	z	NOUN
ap-7150	59	19	−	−	NOUN
ap-7150	59	20	1	1	NUM
ap-7150	59	21	2	2	NUM
ap-7150	59	22	z	z	NOUN
ap-7150	59	23	+	+	NOUN
ap-7150	59	24	1	1	NUM
ap-7150	59	25	2	2	NUM
ap-7150	59	26	(	(	PUNCT
ap-7150	59	27	3	3	NUM
ap-7150	59	28	)	)	PUNCT
ap-7150	59	29	conformally	conformally	ADV
ap-7150	59	30	maps	map	VERB
ap-7150	59	31	the	the	DET
ap-7150	59	32	considered	consider	VERB
ap-7150	59	33	semi	semi	ADJ
ap-7150	59	34	-	-	ADJ
ap-7150	59	35	circular	circular	ADJ
ap-7150	59	36	cavity	cavity	NOUN
ap-7150	59	37	geometry	geometry	NOUN
ap-7150	59	38	into	into	ADP
ap-7150	59	39	a	a	DET
ap-7150	59	40	body	body	NOUN
ap-7150	59	41	-	-	PUNCT
ap-7150	59	42	fitted	fit	VERB
ap-7150	59	43	orthogonal	orthogonal	ADJ
ap-7150	59	44	coordinate	coordinate	NOUN
ap-7150	59	45	system	system	NOUN
ap-7150	59	46	.	.	PUNCT
ap-7150	60	1	in	in	ADP
ap-7150	60	2	the	the	DET
ap-7150	60	3	mapped	map	VERB
ap-7150	60	4	complex	complex	ADJ
ap-7150	60	5	w	w	NOUN
ap-7150	60	6	-	-	PUNCT
ap-7150	60	7	domain	domain	NOUN
ap-7150	60	8	,	,	PUNCT
ap-7150	60	9	the	the	DET
ap-7150	60	10	real	real	ADJ
ap-7150	60	11	and	and	CCONJ
ap-7150	60	12	imaginary	imaginary	ADJ
ap-7150	60	13	parts	part	NOUN
ap-7150	60	14	are	be	AUX
ap-7150	60	15	given	give	VERB
ap-7150	60	16	as	as	ADP
ap-7150	60	17	w	w	NOUN
ap-7150	60	18	=	=	NOUN
ap-7150	60	19	ϕ+	ϕ+	NOUN
ap-7150	60	20	iψ	iψ	INTJ
ap-7150	60	21	where	where	SCONJ
ap-7150	60	22	ψ	ψ	NOUN
ap-7150	60	23	and	and	CCONJ
ap-7150	60	24	ϕ	ϕ	PROPN
ap-7150	60	25	are	be	AUX
ap-7150	60	26	the	the	DET
ap-7150	60	27	coordinate	coordinate	ADJ
ap-7150	60	28	axes	axis	NOUN
ap-7150	60	29	in	in	ADP
ap-7150	60	30	the	the	DET
ap-7150	60	31	mapped	map	VERB
ap-7150	60	32	domain	domain	NOUN
ap-7150	60	33	.	.	PUNCT
ap-7150	61	1	also	also	ADV
ap-7150	61	2	,	,	PUNCT
ap-7150	61	3	the	the	DET
ap-7150	61	4	complex	complex	ADJ
ap-7150	61	5	z	z	NOUN
ap-7150	61	6	-	-	PUNCT
ap-7150	61	7	domain	domain	NOUN
ap-7150	61	8	represents	represent	VERB
ap-7150	61	9	the	the	DET
ap-7150	61	10	x	x	ADJ
ap-7150	61	11	-	-	ADJ
ap-7150	61	12	y	y	ADJ
ap-7150	61	13	plane	plane	NOUN
ap-7150	61	14	as	as	ADP
ap-7150	61	15	the	the	DET
ap-7150	61	16	following	follow	VERB
ap-7150	61	17	z	z	NOUN
ap-7150	61	18	=	=	PUNCT
ap-7150	61	19	x	x	SYM
ap-7150	62	1	+	+	X
ap-7150	62	2	iy	iy	INTJ
ap-7150	62	3	.	.	PUNCT
ap-7150	63	1	we	we	PRON
ap-7150	63	2	note	note	VERB
ap-7150	63	3	that	that	SCONJ
ap-7150	63	4	,	,	PUNCT
ap-7150	63	5	one	one	PRON
ap-7150	63	6	can	can	AUX
ap-7150	63	7	obtain	obtain	VERB
ap-7150	63	8	this	this	DET
ap-7150	63	9	transformation	transformation	NOUN
ap-7150	63	10	also	also	ADV
ap-7150	63	11	using	use	VERB
ap-7150	63	12	the	the	DET
ap-7150	63	13	potential	potential	ADJ
ap-7150	63	14	flow	flow	NOUN
ap-7150	63	15	analysis	analysis	NOUN
ap-7150	63	16	with	with	ADP
ap-7150	63	17	the	the	DET
ap-7150	63	18	superposition	superposition	NOUN
ap-7150	63	19	of	of	ADP
ap-7150	63	20	a	a	DET
ap-7150	63	21	source	source	NOUN
ap-7150	63	22	located	locate	VERB
ap-7150	63	23	at	at	ADP
ap-7150	63	24	(	(	PUNCT
ap-7150	63	25	−	−	PROPN
ap-7150	63	26	1	1	NUM
ap-7150	63	27	2	2	NUM
ap-7150	63	28	,	,	PUNCT
ap-7150	63	29	0	0	NUM
ap-7150	63	30	)	)	PUNCT
ap-7150	63	31	coordinates	coordinate	NOUN
ap-7150	63	32	and	and	CCONJ
ap-7150	63	33	a	a	DET
ap-7150	63	34	sink	sink	NOUN
ap-7150	63	35	located	locate	VERB
ap-7150	63	36	at	at	ADP
ap-7150	63	37	(	(	PUNCT
ap-7150	63	38	1	1	NUM
ap-7150	63	39	2	2	NUM
ap-7150	63	40	,	,	PUNCT
ap-7150	63	41	0	0	NUM
ap-7150	63	42	)	)	PUNCT
ap-7150	63	43	coordinates	coordinate	NOUN
ap-7150	63	44	with	with	ADP
ap-7150	63	45	equal	equal	ADJ
ap-7150	63	46	strengths	strength	NOUN
ap-7150	63	47	of	of	ADP
ap-7150	63	48	2π	2π	NOUN
ap-7150	63	49	as	as	SCONJ
ap-7150	63	50	shown	show	VERB
ap-7150	63	51	in	in	ADP
ap-7150	63	52	figure	figure	NOUN
ap-7150	63	53	2	2	NUM
ap-7150	63	54	.	.	PUNCT
ap-7150	63	55	upon	upon	SCONJ
ap-7150	63	56	separating	separate	VERB
ap-7150	63	57	the	the	DET
ap-7150	63	58	real	real	ADJ
ap-7150	63	59	and	and	CCONJ
ap-7150	63	60	imaginary	imaginary	ADJ
ap-7150	63	61	parts	part	NOUN
ap-7150	63	62	,	,	PUNCT
ap-7150	63	63	the	the	DET
ap-7150	63	64	velocity	velocity	NOUN
ap-7150	63	65	potential	potential	ADJ
ap-7150	63	66	function	function	NOUN
ap-7150	63	67	is	be	AUX
ap-7150	63	68	the	the	DET
ap-7150	63	69	real	real	ADJ
ap-7150	63	70	part	part	NOUN
ap-7150	63	71	where	where	SCONJ
ap-7150	63	72	ϕ	ϕ	NOUN
ap-7150	63	73	=	=	X
ap-7150	63	74	ln	ln	ADJ
ap-7150	63	75	∣∣z	∣∣z	NOUN
ap-7150	63	76	−	−	PROPN
ap-7150	63	77	1	1	NUM
ap-7150	63	78	2	2	NUM
ap-7150	63	79	∣∣∣∣z	∣∣∣∣z	NOUN
ap-7150	63	80	+	+	CCONJ
ap-7150	63	81	1	1	NUM
ap-7150	63	82	2	2	NUM
ap-7150	63	83	∣∣	∣∣	NOUN
ap-7150	63	84	=	=	SYM
ap-7150	63	85	ln	ln	ADJ
ap-7150	63	86	√	√	PROPN
ap-7150	63	87	(	(	PUNCT
ap-7150	63	88	x−	x−	PROPN
ap-7150	63	89	1	1	NUM
ap-7150	63	90	2	2	NUM
ap-7150	63	91	)	)	SYM
ap-7150	63	92	2	2	NUM
ap-7150	64	1	+	+	CCONJ
ap-7150	64	2	y2√	y2√	PROPN
ap-7150	64	3	(	(	PUNCT
ap-7150	64	4	x+	x+	SYM
ap-7150	64	5	1	1	NUM
ap-7150	64	6	2	2	NUM
ap-7150	64	7	)	)	PUNCT
ap-7150	64	8	2	2	NUM
ap-7150	64	9	+	+	NUM
ap-7150	64	10	y2	y2	PROPN
ap-7150	64	11	(	(	PUNCT
ap-7150	64	12	4	4	NUM
ap-7150	64	13	)	)	PUNCT
ap-7150	64	14	and	and	CCONJ
ap-7150	64	15	also	also	ADV
ap-7150	64	16	the	the	DET
ap-7150	64	17	stream	stream	NOUN
ap-7150	64	18	function	function	NOUN
ap-7150	64	19	is	be	AUX
ap-7150	64	20	the	the	DET
ap-7150	64	21	imaginary	imaginary	ADJ
ap-7150	64	22	part	part	NOUN
ap-7150	64	23	where	where	SCONJ
ap-7150	64	24	ψ	ψ	X
ap-7150	64	25	=	=	SYM
ap-7150	64	26	arctan	arctan	PROPN
ap-7150	64	27	y	y	PROPN
ap-7150	64	28	x−	x−	PROPN
ap-7150	64	29	1	1	NUM
ap-7150	64	30	2	2	NUM
ap-7150	64	31	−	−	PROPN
ap-7150	64	32	arctan	arctan	PROPN
ap-7150	64	33	y	y	PROPN
ap-7150	64	34	x+	x+	PROPN
ap-7150	64	35	1	1	NUM
ap-7150	64	36	2	2	NUM
ap-7150	64	37	(	(	PUNCT
ap-7150	64	38	5	5	NUM
ap-7150	64	39	)	)	PUNCT
ap-7150	64	40	in	in	ADP
ap-7150	64	41	this	this	DET
ap-7150	64	42	study	study	NOUN
ap-7150	64	43	we	we	PRON
ap-7150	64	44	used	use	VERB
ap-7150	64	45	the	the	DET
ap-7150	64	46	ψ	ψ	NOUN
ap-7150	64	47	and	and	CCONJ
ap-7150	64	48	ϕ	ϕ	PROPN
ap-7150	64	49	coordinates	coordinate	NOUN
ap-7150	64	50	in	in	ADP
ap-7150	64	51	order	order	NOUN
ap-7150	64	52	to	to	PART
ap-7150	64	53	construct	construct	VERB
ap-7150	64	54	a	a	DET
ap-7150	64	55	body	body	NOUN
ap-7150	64	56	-	-	PUNCT
ap-7150	64	57	fitted	fit	VERB
ap-7150	64	58	mesh	mesh	NOUN
ap-7150	64	59	for	for	ADP
ap-7150	64	60	the	the	DET
ap-7150	64	61	semicircular	semicircular	ADJ
ap-7150	64	62	cavity	cavity	NOUN
ap-7150	64	63	.	.	PUNCT
ap-7150	65	1	for	for	ADP
ap-7150	65	2	any	any	DET
ap-7150	65	3	value	value	NOUN
ap-7150	65	4	of	of	ADP
ap-7150	65	5	the	the	DET
ap-7150	65	6	velocity	velocity	NOUN
ap-7150	65	7	potential	potential	ADJ
ap-7150	65	8	function	function	NOUN
ap-7150	65	9	,	,	PUNCT
ap-7150	65	10	such	such	ADJ
ap-7150	65	11	that	that	PRON
ap-7150	65	12	ϕ	ϕ	NOUN
ap-7150	65	13	=	=	SYM
ap-7150	65	14	c	c	X
ap-7150	65	15	,	,	PUNCT
ap-7150	65	16	we	we	PRON
ap-7150	65	17	have	have	VERB
ap-7150	65	18	c	c	NOUN
ap-7150	65	19	=	=	SYM
ap-7150	65	20	ln	ln	ADJ
ap-7150	65	21	√	√	PROPN
ap-7150	65	22	(	(	PUNCT
ap-7150	65	23	x−	x−	PROPN
ap-7150	65	24	1	1	NUM
ap-7150	65	25	2	2	NUM
ap-7150	65	26	)	)	SYM
ap-7150	65	27	2	2	NUM
ap-7150	65	28	+	+	CCONJ
ap-7150	65	29	y2√	y2√	PROPN
ap-7150	65	30	(	(	PUNCT
ap-7150	65	31	x+	x+	SYM
ap-7150	65	32	1	1	NUM
ap-7150	65	33	2	2	NUM
ap-7150	65	34	)	)	PUNCT
ap-7150	65	35	2	2	NUM
ap-7150	66	1	+	+	NUM
ap-7150	66	2	y2	y2	PROPN
ap-7150	66	3	(	(	PUNCT
ap-7150	66	4	6	6	NUM
ap-7150	66	5	)	)	PUNCT
ap-7150	66	6	y	y	NOUN
ap-7150	66	7	x	x	PUNCT
ap-7150	66	8	figure	figure	NOUN
ap-7150	66	9	2	2	NUM
ap-7150	66	10	.	.	PUNCT
ap-7150	66	11	velocity	velocity	NOUN
ap-7150	66	12	potential	potential	NOUN
ap-7150	66	13	and	and	CCONJ
ap-7150	66	14	stream	stream	NOUN
ap-7150	66	15	function	function	NOUN
ap-7150	66	16	lines	line	NOUN
ap-7150	66	17	of	of	ADP
ap-7150	66	18	the	the	DET
ap-7150	66	19	potential	potential	ADJ
ap-7150	66	20	flow	flow	NOUN
ap-7150	66	21	with	with	ADP
ap-7150	66	22	a	a	DET
ap-7150	66	23	source	source	NOUN
ap-7150	66	24	and	and	CCONJ
ap-7150	66	25	a	a	DET
ap-7150	66	26	sink	sink	NOUN
ap-7150	66	27	with	with	ADP
ap-7150	66	28	equal	equal	ADJ
ap-7150	66	29	strengths	strength	NOUN
ap-7150	66	30	.	.	PUNCT
ap-7150	67	1	517	517	NUM
ap-7150	67	2	ercan	ercan	PROPN
ap-7150	67	3	erturk	erturk	PROPN
ap-7150	67	4	acta	acta	PROPN
ap-7150	67	5	polytechnica	polytechnica	PROPN
ap-7150	67	6	figure	figure	NOUN
ap-7150	67	7	3	3	NUM
ap-7150	67	8	.	.	PUNCT
ap-7150	67	9	body	body	NOUN
ap-7150	67	10	-	-	PUNCT
ap-7150	67	11	fitted	fit	VERB
ap-7150	67	12	numerical	numerical	ADJ
ap-7150	67	13	mesh	mesh	NOUN
ap-7150	67	14	(	(	PUNCT
ap-7150	67	15	1	1	NUM
ap-7150	67	16	out	out	ADP
ap-7150	67	17	of	of	ADP
ap-7150	67	18	every	every	DET
ap-7150	67	19	10	10	NUM
ap-7150	67	20	grids	grid	NOUN
ap-7150	67	21	is	be	AUX
ap-7150	67	22	shown	show	VERB
ap-7150	67	23	)	)	PUNCT
ap-7150	67	24	.	.	PUNCT
ap-7150	68	1	or	or	CCONJ
ap-7150	68	2	by	by	ADP
ap-7150	68	3	rearranging	rearrange	VERB
ap-7150	68	4	it	it	PRON
ap-7150	68	5	,	,	PUNCT
ap-7150	68	6	we	we	PRON
ap-7150	68	7	have	have	VERB
ap-7150	68	8	x2	x2	PROPN
ap-7150	69	1	+	+	CCONJ
ap-7150	69	2	y2	y2	PROPN
ap-7150	69	3	+	+	CCONJ
ap-7150	69	4	e2c	e2c	NOUN
ap-7150	69	5	+	+	CCONJ
ap-7150	69	6	1	1	NUM
ap-7150	69	7	e2c	e2c	PROPN
ap-7150	69	8	−	−	PROPN
ap-7150	69	9	1x+	1x+	NUM
ap-7150	69	10	1	1	NUM
ap-7150	69	11	4	4	NUM
ap-7150	69	12	=	=	SYM
ap-7150	69	13	0	0	NUM
ap-7150	69	14	(	(	PUNCT
ap-7150	69	15	7	7	X
ap-7150	69	16	)	)	PUNCT
ap-7150	69	17	we	we	PRON
ap-7150	69	18	note	note	VERB
ap-7150	69	19	that	that	SCONJ
ap-7150	69	20	the	the	DET
ap-7150	69	21	above	above	ADJ
ap-7150	69	22	equation	equation	NOUN
ap-7150	69	23	defines	define	VERB
ap-7150	69	24	a	a	DET
ap-7150	69	25	system	system	NOUN
ap-7150	69	26	of	of	ADP
ap-7150	69	27	coaxial	coaxial	ADJ
ap-7150	69	28	circles	circle	NOUN
ap-7150	69	29	with	with	ADP
ap-7150	69	30	their	their	PRON
ap-7150	69	31	centres	centre	NOUN
ap-7150	69	32	being	be	AUX
ap-7150	69	33	on	on	ADP
ap-7150	69	34	the	the	DET
ap-7150	69	35	xaxis	xaxis	PROPN
ap-7150	69	36	as	as	SCONJ
ap-7150	69	37	shown	show	VERB
ap-7150	69	38	in	in	ADP
ap-7150	69	39	figure	figure	NOUN
ap-7150	69	40	2	2	NUM
ap-7150	69	41	.	.	PUNCT
ap-7150	70	1	the	the	DET
ap-7150	70	2	centre	centre	NOUN
ap-7150	70	3	coordinates	coordinate	NOUN
ap-7150	70	4	of	of	ADP
ap-7150	70	5	these	these	DET
ap-7150	70	6	coaxial	coaxial	ADJ
ap-7150	70	7	circles	circle	NOUN
ap-7150	70	8	are	be	AUX
ap-7150	70	9	given	give	VERB
ap-7150	70	10	as	as	ADP
ap-7150	70	11	x	x	X
ap-7150	70	12	=	=	SYM
ap-7150	70	13	−	−	PROPN
ap-7150	70	14	1	1	NUM
ap-7150	70	15	2	2	NUM
ap-7150	70	16	e2c+1	e2c+1	NOUN
ap-7150	70	17	e2c−1	e2c−1	PROPN
ap-7150	70	18	,	,	PUNCT
ap-7150	70	19	y	y	PROPN
ap-7150	70	20	=	=	NOUN
ap-7150	70	21	0	0	NUM
ap-7150	70	22	.	.	PUNCT
ap-7150	71	1	also	also	ADV
ap-7150	71	2	,	,	PUNCT
ap-7150	71	3	the	the	DET
ap-7150	71	4	radii	radius	NOUN
ap-7150	71	5	of	of	ADP
ap-7150	71	6	these	these	DET
ap-7150	71	7	circles	circle	NOUN
ap-7150	71	8	are	be	AUX
ap-7150	71	9	equal	equal	ADJ
ap-7150	71	10	to	to	ADP
ap-7150	71	11	r	r	NOUN
ap-7150	71	12	=	=	SYM
ap-7150	71	13	1	1	NUM
ap-7150	71	14	2	2	NUM
ap-7150	71	15	√	√	VERB
ap-7150	71	16	(	(	PUNCT
ap-7150	71	17	e2c+1	e2c+1	NOUN
ap-7150	71	18	e2c−1	e2c−1	PROPN
ap-7150	71	19	)	)	PUNCT
ap-7150	71	20	2	2	NUM
ap-7150	71	21	−	−	NOUN
ap-7150	72	1	1	1	X
ap-7150	72	2	.	.	PUNCT
ap-7150	73	1	we	we	PRON
ap-7150	73	2	also	also	ADV
ap-7150	73	3	note	note	VERB
ap-7150	73	4	that	that	SCONJ
ap-7150	73	5	when	when	SCONJ
ap-7150	73	6	c	c	NOUN
ap-7150	73	7	=	=	SYM
ap-7150	73	8	0	0	PROPN
ap-7150	73	9	,	,	PUNCT
ap-7150	73	10	the	the	DET
ap-7150	73	11	radius	radius	NOUN
ap-7150	73	12	of	of	ADP
ap-7150	73	13	the	the	DET
ap-7150	73	14	circle	circle	NOUN
ap-7150	73	15	becomes	become	VERB
ap-7150	73	16	infinite	infinite	ADJ
ap-7150	73	17	,	,	PUNCT
ap-7150	73	18	which	which	PRON
ap-7150	73	19	is	be	AUX
ap-7150	73	20	a	a	DET
ap-7150	73	21	perpendicular	perpendicular	ADJ
ap-7150	73	22	straight	straight	ADJ
ap-7150	73	23	line	line	NOUN
ap-7150	73	24	at	at	ADP
ap-7150	73	25	the	the	DET
ap-7150	73	26	origin	origin	NOUN
ap-7150	73	27	.	.	PUNCT
ap-7150	74	1	following	follow	VERB
ap-7150	74	2	the	the	DET
ap-7150	74	3	same	same	ADJ
ap-7150	74	4	procedure	procedure	NOUN
ap-7150	74	5	,	,	PUNCT
ap-7150	74	6	for	for	ADP
ap-7150	74	7	any	any	DET
ap-7150	74	8	value	value	NOUN
ap-7150	74	9	of	of	ADP
ap-7150	74	10	the	the	DET
ap-7150	74	11	stream	stream	NOUN
ap-7150	74	12	function	function	NOUN
ap-7150	74	13	,	,	PUNCT
ap-7150	74	14	such	such	ADJ
ap-7150	74	15	that	that	SCONJ
ap-7150	74	16	ψ	ψ	NOUN
ap-7150	74	17	=	=	SYM
ap-7150	74	18	c	c	X
ap-7150	74	19	,	,	PUNCT
ap-7150	74	20	we	we	PRON
ap-7150	74	21	have	have	VERB
ap-7150	74	22	c	c	NOUN
ap-7150	74	23	=	=	SYM
ap-7150	74	24	arctan	arctan	PROPN
ap-7150	74	25	y	y	PROPN
ap-7150	74	26	x−	x−	PROPN
ap-7150	74	27	1	1	NUM
ap-7150	74	28	2	2	NUM
ap-7150	74	29	−	−	PROPN
ap-7150	74	30	arctan	arctan	PROPN
ap-7150	74	31	y	y	PROPN
ap-7150	74	32	x+	x+	PROPN
ap-7150	74	33	1	1	NUM
ap-7150	74	34	2	2	NUM
ap-7150	74	35	(	(	PUNCT
ap-7150	74	36	8)	8)	NUM
ap-7150	74	37	by	by	ADP
ap-7150	74	38	rearranging	rearrange	VERB
ap-7150	74	39	it	it	PRON
ap-7150	74	40	,	,	PUNCT
ap-7150	74	41	we	we	PRON
ap-7150	74	42	get	get	VERB
ap-7150	74	43	x2	x2	PROPN
ap-7150	75	1	+	+	CCONJ
ap-7150	76	1	y2	y2	NOUN
ap-7150	76	2	−	−	PROPN
ap-7150	77	1	y	y	PROPN
ap-7150	77	2	tan	tan	PROPN
ap-7150	77	3	c	c	NOUN
ap-7150	78	1	−	−	PROPN
ap-7150	78	2	1	1	NUM
ap-7150	78	3	4	4	NUM
ap-7150	78	4	=	=	SYM
ap-7150	78	5	0	0	NUM
ap-7150	79	1	(	(	PUNCT
ap-7150	79	2	9	9	NUM
ap-7150	79	3	)	)	PUNCT
ap-7150	79	4	we	we	PRON
ap-7150	79	5	note	note	VERB
ap-7150	79	6	that	that	SCONJ
ap-7150	79	7	the	the	DET
ap-7150	79	8	above	above	ADJ
ap-7150	79	9	equation	equation	NOUN
ap-7150	79	10	defines	define	VERB
ap-7150	79	11	a	a	DET
ap-7150	79	12	system	system	NOUN
ap-7150	79	13	of	of	ADP
ap-7150	79	14	coaxial	coaxial	ADJ
ap-7150	79	15	circles	circle	NOUN
ap-7150	79	16	with	with	ADP
ap-7150	79	17	their	their	PRON
ap-7150	79	18	centres	centre	NOUN
ap-7150	79	19	being	be	AUX
ap-7150	79	20	on	on	ADP
ap-7150	79	21	the	the	DET
ap-7150	79	22	y	y	NOUN
ap-7150	79	23	-	-	PUNCT
ap-7150	79	24	axis	axis	NOUN
ap-7150	79	25	as	as	SCONJ
ap-7150	79	26	also	also	ADV
ap-7150	79	27	shown	show	VERB
ap-7150	79	28	in	in	ADP
ap-7150	79	29	figure	figure	NOUN
ap-7150	79	30	2	2	NUM
ap-7150	79	31	.	.	PUNCT
ap-7150	80	1	the	the	DET
ap-7150	80	2	centre	centre	NOUN
ap-7150	80	3	coordinates	coordinate	NOUN
ap-7150	80	4	of	of	ADP
ap-7150	80	5	these	these	DET
ap-7150	80	6	coaxial	coaxial	ADJ
ap-7150	80	7	circles	circle	NOUN
ap-7150	80	8	are	be	AUX
ap-7150	80	9	given	give	VERB
ap-7150	80	10	as	as	ADP
ap-7150	80	11	x	x	X
ap-7150	80	12	=	=	SYM
ap-7150	80	13	0	0	NUM
ap-7150	80	14	,	,	PUNCT
ap-7150	80	15	y	y	NOUN
ap-7150	80	16	=	=	NOUN
ap-7150	80	17	1	1	NUM
ap-7150	80	18	2	2	NUM
ap-7150	80	19	tan	tan	PROPN
ap-7150	80	20	c.	c.	NOUN
ap-7150	80	21	also	also	ADV
ap-7150	80	22	,	,	PUNCT
ap-7150	80	23	the	the	DET
ap-7150	80	24	radii	radius	NOUN
ap-7150	80	25	of	of	ADP
ap-7150	80	26	these	these	DET
ap-7150	80	27	circles	circle	NOUN
ap-7150	80	28	are	be	AUX
ap-7150	80	29	equal	equal	ADJ
ap-7150	80	30	to	to	ADP
ap-7150	80	31	r	r	NOUN
ap-7150	80	32	=	=	SYM
ap-7150	80	33	1	1	NUM
ap-7150	80	34	2	2	NUM
ap-7150	80	35	√	√	NUM
ap-7150	80	36	1	1	NUM
ap-7150	80	37	(	(	PUNCT
ap-7150	80	38	tan	tan	PROPN
ap-7150	80	39	c)2	c)2	NOUN
ap-7150	80	40	+	+	CCONJ
ap-7150	80	41	1	1	X
ap-7150	80	42	.	.	X
ap-7150	80	43	we	we	PRON
ap-7150	80	44	note	note	VERB
ap-7150	80	45	that	that	SCONJ
ap-7150	80	46	each	each	PRON
ap-7150	80	47	of	of	ADP
ap-7150	80	48	these	these	DET
ap-7150	80	49	circles	circle	NOUN
ap-7150	80	50	passes	pass	VERB
ap-7150	80	51	through	through	ADP
ap-7150	80	52	the	the	DET
ap-7150	80	53	location	location	NOUN
ap-7150	80	54	of	of	ADP
ap-7150	80	55	the	the	DET
ap-7150	80	56	source	source	NOUN
ap-7150	80	57	and	and	CCONJ
ap-7150	80	58	the	the	DET
ap-7150	80	59	sink	sink	NOUN
ap-7150	80	60	,	,	PUNCT
ap-7150	80	61	i.e.	i.e.	X
ap-7150	80	62	,	,	PUNCT
ap-7150	80	63	through	through	ADP
ap-7150	80	64	the	the	DET
ap-7150	80	65	points	point	NOUN
ap-7150	80	66	(	(	PUNCT
ap-7150	80	67	−	−	PROPN
ap-7150	80	68	1	1	NUM
ap-7150	80	69	2	2	NUM
ap-7150	80	70	,	,	PUNCT
ap-7150	80	71	0	0	NUM
ap-7150	80	72	)	)	PUNCT
ap-7150	80	73	and	and	CCONJ
ap-7150	80	74	(	(	PUNCT
ap-7150	80	75	1	1	NUM
ap-7150	80	76	2	2	NUM
ap-7150	80	77	,	,	PUNCT
ap-7150	80	78	0	0	NUM
ap-7150	80	79	)	)	PUNCT
ap-7150	80	80	.	.	PUNCT
ap-7150	81	1	using	use	VERB
ap-7150	81	2	the	the	DET
ap-7150	81	3	equations	equation	NOUN
ap-7150	81	4	given	give	VERB
ap-7150	81	5	above	above	ADV
ap-7150	81	6	,	,	PUNCT
ap-7150	81	7	we	we	PRON
ap-7150	81	8	can	can	AUX
ap-7150	81	9	easily	easily	ADV
ap-7150	81	10	obtain	obtain	VERB
ap-7150	81	11	the	the	DET
ap-7150	81	12	mesh	mesh	NOUN
ap-7150	81	13	points	point	NOUN
ap-7150	81	14	inside	inside	ADP
ap-7150	81	15	the	the	DET
ap-7150	81	16	semi	semi	ADJ
ap-7150	81	17	-	-	ADJ
ap-7150	81	18	circular	circular	ADJ
ap-7150	81	19	cavity	cavity	NOUN
ap-7150	81	20	.	.	PUNCT
ap-7150	82	1	in	in	ADP
ap-7150	82	2	order	order	NOUN
ap-7150	82	3	to	to	PART
ap-7150	82	4	keep	keep	VERB
ap-7150	82	5	the	the	DET
ap-7150	82	6	aspect	aspect	NOUN
ap-7150	82	7	ratio	ratio	NOUN
ap-7150	82	8	(	(	PUNCT
ap-7150	82	9	∆x	∆x	PROPN
ap-7150	82	10	∆y	∆y	PROPN
ap-7150	82	11	)	)	PUNCT
ap-7150	82	12	of	of	ADP
ap-7150	82	13	the	the	DET
ap-7150	82	14	grid	grid	NOUN
ap-7150	82	15	points	point	NOUN
ap-7150	82	16	in	in	ADP
ap-7150	82	17	the	the	DET
ap-7150	82	18	mesh	mesh	NOUN
ap-7150	82	19	more	more	ADV
ap-7150	82	20	or	or	CCONJ
ap-7150	82	21	less	less	ADV
ap-7150	82	22	around	around	ADP
ap-7150	82	23	unity	unity	NOUN
ap-7150	82	24	in	in	ADP
ap-7150	82	25	majority	majority	NOUN
ap-7150	82	26	of	of	ADP
ap-7150	82	27	the	the	DET
ap-7150	82	28	domain	domain	NOUN
ap-7150	82	29	,	,	PUNCT
ap-7150	82	30	we	we	PRON
ap-7150	82	31	used	use	VERB
ap-7150	82	32	600×150	600×150	NUM
ap-7150	82	33	grid	grid	NOUN
ap-7150	82	34	points	point	NOUN
ap-7150	82	35	in	in	ADP
ap-7150	82	36	the	the	DET
ap-7150	82	37	mesh	mesh	NOUN
ap-7150	82	38	.	.	PUNCT
ap-7150	83	1	we	we	PRON
ap-7150	83	2	divide	divide	VERB
ap-7150	83	3	the	the	DET
ap-7150	83	4	upper	upper	ADJ
ap-7150	83	5	lid	lid	NOUN
ap-7150	83	6	of	of	ADP
ap-7150	83	7	the	the	DET
ap-7150	83	8	arc	arc	NOUN
ap-7150	83	9	shaped	shape	VERB
ap-7150	83	10	cavity	cavity	NOUN
ap-7150	83	11	into	into	ADP
ap-7150	83	12	600	600	NUM
ap-7150	83	13	equal	equal	ADJ
ap-7150	83	14	points	point	NOUN
ap-7150	83	15	and	and	CCONJ
ap-7150	83	16	we	we	PRON
ap-7150	83	17	calculate	calculate	VERB
ap-7150	83	18	the	the	DET
ap-7150	83	19	values	value	NOUN
ap-7150	83	20	of	of	ADP
ap-7150	83	21	the	the	DET
ap-7150	83	22	velocity	velocity	NOUN
ap-7150	83	23	potential	potential	ADJ
ap-7150	83	24	function	function	NOUN
ap-7150	83	25	(	(	PUNCT
ap-7150	83	26	ϕ	ϕ	NOUN
ap-7150	83	27	=	=	SYM
ap-7150	83	28	c	c	NOUN
ap-7150	83	29	)	)	PUNCT
ap-7150	83	30	at	at	ADP
ap-7150	83	31	these	these	DET
ap-7150	83	32	points	point	NOUN
ap-7150	83	33	.	.	PUNCT
ap-7150	84	1	similarly	similarly	ADV
ap-7150	84	2	,	,	PUNCT
ap-7150	84	3	we	we	PRON
ap-7150	84	4	divide	divide	VERB
ap-7150	84	5	the	the	DET
ap-7150	84	6	vertical	vertical	ADJ
ap-7150	84	7	line	line	NOUN
ap-7150	84	8	at	at	ADP
ap-7150	84	9	x	x	X
ap-7150	84	10	=	=	NOUN
ap-7150	84	11	0	0	NUM
ap-7150	84	12	into	into	ADP
ap-7150	84	13	150	150	NUM
ap-7150	84	14	equal	equal	ADJ
ap-7150	84	15	points	point	NOUN
ap-7150	84	16	and	and	CCONJ
ap-7150	84	17	we	we	PRON
ap-7150	84	18	calculate	calculate	VERB
ap-7150	84	19	values	value	NOUN
ap-7150	84	20	of	of	ADP
ap-7150	84	21	the	the	DET
ap-7150	84	22	stream	stream	NOUN
ap-7150	84	23	function	function	NOUN
ap-7150	84	24	(	(	PUNCT
ap-7150	84	25	ψ	ψ	NOUN
ap-7150	84	26	=	=	SYM
ap-7150	84	27	c	c	X
ap-7150	84	28	)	)	PUNCT
ap-7150	84	29	at	at	ADP
ap-7150	84	30	these	these	DET
ap-7150	84	31	points	point	NOUN
ap-7150	84	32	.	.	PUNCT
ap-7150	85	1	then	then	ADV
ap-7150	85	2	,	,	PUNCT
ap-7150	85	3	the	the	DET
ap-7150	85	4	intersection	intersection	NOUN
ap-7150	85	5	points	point	NOUN
ap-7150	85	6	of	of	ADP
ap-7150	85	7	these	these	DET
ap-7150	85	8	velocity	velocity	NOUN
ap-7150	85	9	potential	potential	ADJ
ap-7150	85	10	function	function	NOUN
ap-7150	85	11	(	(	PUNCT
ap-7150	85	12	ϕ	ϕ	NOUN
ap-7150	85	13	)	)	PUNCT
ap-7150	85	14	and	and	CCONJ
ap-7150	85	15	stream	stream	NOUN
ap-7150	85	16	function	function	NOUN
ap-7150	85	17	(	(	PUNCT
ap-7150	85	18	ψ	ψ	NOUN
ap-7150	85	19	)	)	PUNCT
ap-7150	85	20	are	be	AUX
ap-7150	85	21	obtained	obtain	VERB
ap-7150	85	22	as	as	ADP
ap-7150	85	23	the	the	DET
ap-7150	85	24	grid	grid	NOUN
ap-7150	85	25	point	point	NOUN
ap-7150	85	26	locations	location	NOUN
ap-7150	85	27	.	.	PUNCT
ap-7150	86	1	the	the	DET
ap-7150	86	2	body	body	NOUN
ap-7150	86	3	-	-	PUNCT
ap-7150	86	4	fitted	fit	VERB
ap-7150	86	5	orthogonal	orthogonal	ADJ
ap-7150	86	6	mesh	mesh	NOUN
ap-7150	86	7	we	we	PRON
ap-7150	86	8	used	use	VERB
ap-7150	86	9	is	be	AUX
ap-7150	86	10	given	give	VERB
ap-7150	86	11	figure	figure	NOUN
ap-7150	86	12	3	3	NUM
ap-7150	86	13	.	.	PROPN
ap-7150	86	14	2.2	2.2	NUM
ap-7150	86	15	.	.	PUNCT
ap-7150	87	1	governing	govern	VERB
ap-7150	87	2	equations	equation	NOUN
ap-7150	87	3	in	in	ADP
ap-7150	87	4	the	the	DET
ap-7150	87	5	computational	computational	ADJ
ap-7150	87	6	domain	domain	NOUN
ap-7150	87	7	since	since	SCONJ
ap-7150	87	8	ϕ	ϕ	PROPN
ap-7150	87	9	and	and	CCONJ
ap-7150	87	10	ψ	ψ	X
ap-7150	87	11	provide	provide	VERB
ap-7150	87	12	a	a	DET
ap-7150	87	13	body	body	NOUN
ap-7150	87	14	-	-	PUNCT
ap-7150	87	15	fitted	fit	VERB
ap-7150	87	16	orthogonal	orthogonal	ADJ
ap-7150	87	17	coordinate	coordinate	NOUN
ap-7150	87	18	system	system	NOUN
ap-7150	87	19	for	for	ADP
ap-7150	87	20	the	the	DET
ap-7150	87	21	considered	consider	VERB
ap-7150	87	22	semi	semi	ADJ
ap-7150	87	23	-	-	ADJ
ap-7150	87	24	circular	circular	ADJ
ap-7150	87	25	cavity	cavity	NOUN
ap-7150	87	26	geometry	geometry	NOUN
ap-7150	87	27	,	,	PUNCT
ap-7150	87	28	the	the	DET
ap-7150	87	29	natural	natural	ADJ
ap-7150	87	30	choice	choice	NOUN
ap-7150	87	31	is	be	AUX
ap-7150	87	32	to	to	PART
ap-7150	87	33	use	use	VERB
ap-7150	87	34	ϕ	ϕ	NOUN
ap-7150	87	35	and	and	CCONJ
ap-7150	87	36	ψ	ψ	NOUN
ap-7150	87	37	as	as	ADP
ap-7150	87	38	the	the	DET
ap-7150	87	39	coordinate	coordinate	NOUN
ap-7150	87	40	axes	axis	NOUN
ap-7150	87	41	in	in	ADP
ap-7150	87	42	the	the	DET
ap-7150	87	43	mapped	map	VERB
ap-7150	87	44	domain	domain	NOUN
ap-7150	87	45	.	.	PUNCT
ap-7150	88	1	however	however	ADV
ap-7150	88	2	,	,	PUNCT
ap-7150	88	3	the	the	DET
ap-7150	88	4	value	value	NOUN
ap-7150	88	5	of	of	ADP
ap-7150	88	6	ϕ	ϕ	NOUN
ap-7150	88	7	at	at	ADP
ap-7150	88	8	the	the	DET
ap-7150	88	9	corners	corner	NOUN
ap-7150	88	10	of	of	ADP
ap-7150	88	11	the	the	DET
ap-7150	88	12	arc	arc	NOUN
ap-7150	88	13	shaped	shape	VERB
ap-7150	88	14	cavity	cavity	NOUN
ap-7150	88	15	(	(	PUNCT
ap-7150	88	16	i.e.	i.e.	X
ap-7150	88	17	,	,	PUNCT
ap-7150	88	18	at	at	ADP
ap-7150	88	19	the	the	DET
ap-7150	88	20	location	location	NOUN
ap-7150	88	21	of	of	ADP
ap-7150	88	22	the	the	DET
ap-7150	88	23	source	source	NOUN
ap-7150	88	24	and	and	CCONJ
ap-7150	88	25	the	the	DET
ap-7150	88	26	sink	sink	NOUN
ap-7150	88	27	)	)	PUNCT
ap-7150	88	28	is	be	AUX
ap-7150	88	29	equal	equal	ADJ
ap-7150	88	30	to	to	ADP
ap-7150	88	31	±∞.	±∞.	VERB
ap-7150	88	32	for	for	ADP
ap-7150	88	33	this	this	DET
ap-7150	88	34	reason	reason	NOUN
ap-7150	88	35	,	,	PUNCT
ap-7150	88	36	it	it	PRON
ap-7150	88	37	was	be	AUX
ap-7150	88	38	not	not	PART
ap-7150	88	39	possible	possible	ADJ
ap-7150	88	40	to	to	PART
ap-7150	88	41	use	use	VERB
ap-7150	88	42	ϕ	ϕ	NOUN
ap-7150	88	43	and	and	CCONJ
ap-7150	88	44	ψ	ψ	NOUN
ap-7150	88	45	as	as	ADP
ap-7150	88	46	coordinate	coordinate	NOUN
ap-7150	88	47	axes	axis	NOUN
ap-7150	88	48	.	.	PUNCT
ap-7150	89	1	also	also	ADV
ap-7150	89	2	,	,	PUNCT
ap-7150	89	3	using	use	VERB
ap-7150	89	4	ϕ	ϕ	NOUN
ap-7150	89	5	and	and	CCONJ
ap-7150	89	6	ψ	ψ	NOUN
ap-7150	89	7	as	as	ADP
ap-7150	89	8	coordinate	coordinate	NOUN
ap-7150	89	9	axes	axis	NOUN
ap-7150	89	10	(	(	PUNCT
ap-7150	89	11	except	except	SCONJ
ap-7150	89	12	at	at	ADP
ap-7150	89	13	the	the	DET
ap-7150	89	14	the	the	DET
ap-7150	89	15	corner	corner	NOUN
ap-7150	89	16	points	point	NOUN
ap-7150	89	17	)	)	PUNCT
ap-7150	89	18	introduces	introduce	VERB
ap-7150	89	19	extra	extra	ADJ
ap-7150	89	20	difficulty	difficulty	NOUN
ap-7150	89	21	in	in	ADP
ap-7150	89	22	finite	finite	ADJ
ap-7150	89	23	differencing	differencing	NOUN
ap-7150	89	24	of	of	ADP
ap-7150	89	25	the	the	DET
ap-7150	89	26	spatial	spatial	ADJ
ap-7150	89	27	derivatives	derivative	NOUN
ap-7150	89	28	on	on	ADP
ap-7150	89	29	a	a	DET
ap-7150	89	30	non	non	ADJ
ap-7150	89	31	-	-	ADJ
ap-7150	89	32	uniform	uniform	ADJ
ap-7150	89	33	mesh	mesh	NOUN
ap-7150	89	34	.	.	PUNCT
ap-7150	90	1	in	in	ADP
ap-7150	90	2	order	order	NOUN
ap-7150	90	3	to	to	PART
ap-7150	90	4	overcome	overcome	VERB
ap-7150	90	5	this	this	DET
ap-7150	90	6	difficulty	difficulty	NOUN
ap-7150	90	7	,	,	PUNCT
ap-7150	90	8	we	we	PRON
ap-7150	90	9	transform	transform	VERB
ap-7150	90	10	the	the	DET
ap-7150	90	11	curvilinear	curvilinear	ADJ
ap-7150	90	12	mesh	mesh	NOUN
ap-7150	90	13	in	in	ADP
ap-7150	90	14	physical	physical	ADJ
ap-7150	90	15	domain	domain	NOUN
ap-7150	90	16	to	to	ADP
ap-7150	90	17	a	a	DET
ap-7150	90	18	rectangular	rectangular	ADJ
ap-7150	90	19	uniform	uniform	NOUN
ap-7150	90	20	mesh	mesh	NOUN
ap-7150	90	21	in	in	ADP
ap-7150	90	22	computational	computational	ADJ
ap-7150	90	23	domain	domain	NOUN
ap-7150	90	24	with	with	ADP
ap-7150	90	25	ξ	ξ	PROPN
ap-7150	90	26	and	and	CCONJ
ap-7150	90	27	η	η	PROPN
ap-7150	90	28	coordinates	coordinate	NOUN
ap-7150	90	29	where	where	SCONJ
ap-7150	90	30	the	the	DET
ap-7150	90	31	grid	grid	NOUN
ap-7150	90	32	spacing	spacing	NOUN
ap-7150	90	33	is	be	AUX
ap-7150	90	34	uniform	uniform	ADJ
ap-7150	90	35	and	and	CCONJ
ap-7150	90	36	equal	equal	ADJ
ap-7150	90	37	to	to	ADP
ap-7150	90	38	unity	unity	NOUN
ap-7150	90	39	(	(	PUNCT
ap-7150	90	40	i.e.	i.e.	X
ap-7150	90	41	∆ξ	∆ξ	X
ap-7150	90	42	=	=	SYM
ap-7150	90	43	∆η	∆η	NOUN
ap-7150	90	44	=	=	SYM
ap-7150	90	45	1	1	NUM
ap-7150	90	46	)	)	PUNCT
ap-7150	90	47	.	.	PUNCT
ap-7150	91	1	the	the	DET
ap-7150	91	2	x	x	NOUN
ap-7150	91	3	and	and	CCONJ
ap-7150	91	4	y	y	PROPN
ap-7150	91	5	derivatives	derivative	NOUN
ap-7150	91	6	are	be	AUX
ap-7150	91	7	transformed	transform	VERB
ap-7150	91	8	to	to	ADP
ap-7150	91	9	the	the	DET
ap-7150	91	10	computational	computational	ADJ
ap-7150	91	11	domain	domain	NOUN
ap-7150	91	12	as	as	ADP
ap-7150	91	13	the	the	DET
ap-7150	91	14	following	follow	VERB
ap-7150	91	15	fx	fx	PROPN
ap-7150	91	16	=	=	SYM
ap-7150	91	17	yηfξ	yηfξ	PROPN
ap-7150	91	18	−	−	PROPN
ap-7150	91	19	yξfη	yξfη	ADJ
ap-7150	91	20	j	j	PROPN
ap-7150	91	21	(	(	PUNCT
ap-7150	91	22	10	10	NUM
ap-7150	91	23	)	)	PUNCT
ap-7150	91	24	fy	fy	PROPN
ap-7150	92	1	=	=	PUNCT
ap-7150	92	2	−xηfξ	−xηfξ	PROPN
ap-7150	93	1	+	+	CCONJ
ap-7150	93	2	xξfη	xξfη	PROPN
ap-7150	93	3	j	j	PROPN
ap-7150	93	4	(	(	PUNCT
ap-7150	93	5	11	11	NUM
ap-7150	93	6	)	)	PUNCT
ap-7150	93	7	where	where	SCONJ
ap-7150	93	8	f	f	PROPN
ap-7150	93	9	is	be	AUX
ap-7150	93	10	any	any	DET
ap-7150	93	11	differentiable	differentiable	ADJ
ap-7150	93	12	function	function	NOUN
ap-7150	93	13	and	and	CCONJ
ap-7150	93	14	j	j	PROPN
ap-7150	93	15	is	be	AUX
ap-7150	93	16	the	the	DET
ap-7150	93	17	jacobian	jacobian	NOUN
ap-7150	93	18	of	of	ADP
ap-7150	93	19	the	the	DET
ap-7150	93	20	transformation	transformation	NOUN
ap-7150	93	21	,	,	PUNCT
ap-7150	93	22	which	which	PRON
ap-7150	93	23	is	be	AUX
ap-7150	93	24	defined	define	VERB
ap-7150	93	25	as	as	ADP
ap-7150	93	26	j	j	PROPN
ap-7150	93	27	=	=	SYM
ap-7150	93	28	xξyη	xξyη	PROPN
ap-7150	93	29	−	−	PROPN
ap-7150	93	30	xηyξ	xηyξ	PROPN
ap-7150	93	31	(	(	PUNCT
ap-7150	93	32	12	12	NUM
ap-7150	93	33	)	)	PUNCT
ap-7150	93	34	in	in	ADP
ap-7150	93	35	the	the	DET
ap-7150	93	36	computational	computational	ADJ
ap-7150	93	37	ξ	ξ	PROPN
ap-7150	93	38	-	-	PUNCT
ap-7150	93	39	η	η	NOUN
ap-7150	93	40	domain	domain	NOUN
ap-7150	93	41	,	,	PUNCT
ap-7150	93	42	the	the	DET
ap-7150	93	43	governing	govern	VERB
ap-7150	93	44	streamfunction	streamfunction	NOUN
ap-7150	93	45	and	and	CCONJ
ap-7150	93	46	vorticity	vorticity	NOUN
ap-7150	93	47	equations	equation	NOUN
ap-7150	93	48	are	be	AUX
ap-7150	93	49	transformed	transform	VERB
ap-7150	93	50	as	as	ADP
ap-7150	93	51	the	the	DET
ap-7150	93	52	following	follow	VERB
ap-7150	93	53	αψξξ	αψξξ	NOUN
ap-7150	93	54	−	−	PROPN
ap-7150	93	55	2βψξη	2βψξη	NUM
ap-7150	93	56	+	+	NOUN
ap-7150	93	57	γψηη	γψηη	PROPN
ap-7150	93	58	+	+	CCONJ
ap-7150	93	59	σψη	σψη	NOUN
ap-7150	93	60	+	+	CCONJ
ap-7150	93	61	τψξ	τψξ	NOUN
ap-7150	93	62	j2	j2	PROPN
ap-7150	93	63	=	=	SYM
ap-7150	93	64	ω	ω	PROPN
ap-7150	93	65	(	(	PUNCT
ap-7150	93	66	13	13	NUM
ap-7150	93	67	)	)	PUNCT
ap-7150	93	68	ψηωξ	ψηωξ	NOUN
ap-7150	93	69	−	−	PROPN
ap-7150	93	70	ψξωη	ψξωη	NOUN
ap-7150	93	71	=	=	SYM
ap-7150	93	72	1	1	NUM
ap-7150	93	73	re	re	AUX
ap-7150	93	74	αωξξ	αωξξ	VERB
ap-7150	93	75	−	−	PROPN
ap-7150	94	1	2βωξη	2βωξη	NUM
ap-7150	95	1	+	+	NUM
ap-7150	95	2	γωηη	γωηη	NOUN
ap-7150	95	3	+	+	CCONJ
ap-7150	95	4	σωη	σωη	NUM
ap-7150	95	5	+	+	CCONJ
ap-7150	95	6	τωξ	τωξ	ADJ
ap-7150	95	7	j	j	PROPN
ap-7150	95	8	(	(	PUNCT
ap-7150	95	9	14	14	NUM
ap-7150	95	10	)	)	PUNCT
ap-7150	95	11	where	where	SCONJ
ap-7150	95	12	the	the	DET
ap-7150	95	13	coefficients	coefficient	NOUN
ap-7150	95	14	in	in	ADP
ap-7150	95	15	these	these	DET
ap-7150	95	16	equations	equation	NOUN
ap-7150	95	17	(	(	PUNCT
ap-7150	95	18	α	α	X
ap-7150	95	19	,	,	PUNCT
ap-7150	95	20	β	β	X
ap-7150	95	21	,	,	PUNCT
ap-7150	95	22	γ	γ	PROPN
ap-7150	95	23	,	,	PUNCT
ap-7150	95	24	σ	σ	PROPN
ap-7150	95	25	,	,	PUNCT
ap-7150	95	26	τ	τ	X
ap-7150	95	27	)	)	PUNCT
ap-7150	95	28	are	be	AUX
ap-7150	95	29	defined	define	VERB
ap-7150	95	30	as	as	ADP
ap-7150	95	31	α	α	X
ap-7150	95	32	=	=	SYM
ap-7150	95	33	x2	x2	PROPN
ap-7150	95	34	η	η	PROPN
ap-7150	95	35	+	+	PROPN
ap-7150	95	36	y2	y2	PROPN
ap-7150	95	37	η	η	PROPN
ap-7150	95	38	β	β	X
ap-7150	95	39	=	=	SYM
ap-7150	95	40	xξxη	xξxη	PROPN
ap-7150	95	41	+	+	CCONJ
ap-7150	95	42	yξyη	yξyη	PROPN
ap-7150	95	43	γ	γ	X
ap-7150	95	44	=	=	SYM
ap-7150	95	45	x2	x2	PROPN
ap-7150	95	46	ξ	ξ	PROPN
ap-7150	96	1	+	+	NUM
ap-7150	96	2	y2	y2	X
ap-7150	96	3	ξ	ξ	X
ap-7150	96	4	σ	σ	X
ap-7150	96	5	=	=	PUNCT
ap-7150	96	6	yξ	yξ	PROPN
ap-7150	96	7	(	(	PUNCT
ap-7150	96	8	dx	dx	PROPN
ap-7150	96	9	)	)	PUNCT
ap-7150	96	10	−	−	PROPN
ap-7150	96	11	xξ	xξ	PROPN
ap-7150	96	12	(	(	PUNCT
ap-7150	96	13	dy	dy	PROPN
ap-7150	96	14	)	)	PUNCT
ap-7150	96	15	j	j	PROPN
ap-7150	97	1	τ	τ	PROPN
ap-7150	97	2	=	=	PUNCT
ap-7150	97	3	xη	xη	PROPN
ap-7150	97	4	(	(	PUNCT
ap-7150	97	5	dy	dy	X
ap-7150	97	6	)	)	PUNCT
ap-7150	97	7	−	−	PROPN
ap-7150	97	8	yη	yη	NOUN
ap-7150	97	9	(	(	PUNCT
ap-7150	97	10	dx	dx	PROPN
ap-7150	97	11	)	)	PUNCT
ap-7150	97	12	j	j	PROPN
ap-7150	97	13	(	(	PUNCT
ap-7150	97	14	15	15	NUM
ap-7150	97	15	)	)	PUNCT
ap-7150	97	16	where	where	SCONJ
ap-7150	97	17	dx	dx	PROPN
ap-7150	97	18	and	and	CCONJ
ap-7150	97	19	dy	dy	NOUN
ap-7150	97	20	are	be	AUX
ap-7150	97	21	dx	dx	PROPN
ap-7150	97	22	=	=	PUNCT
ap-7150	97	23	αxξξ	αxξξ	NOUN
ap-7150	97	24	−	−	PROPN
ap-7150	97	25	2βxξη	2βxξη	NUM
ap-7150	97	26	+	+	CCONJ
ap-7150	97	27	γxηη	γxηη	ADJ
ap-7150	97	28	dy	dy	NOUN
ap-7150	97	29	=	=	NOUN
ap-7150	97	30	αyξξ	αyξξ	NOUN
ap-7150	97	31	−	−	PROPN
ap-7150	97	32	2βyξη	2βyξη	NUM
ap-7150	97	33	+	+	CCONJ
ap-7150	97	34	γyηη	γyηη	PROPN
ap-7150	97	35	(	(	PUNCT
ap-7150	97	36	16	16	NUM
ap-7150	97	37	)	)	PUNCT
ap-7150	97	38	since	since	SCONJ
ap-7150	97	39	we	we	PRON
ap-7150	97	40	are	be	AUX
ap-7150	97	41	only	only	ADV
ap-7150	97	42	interested	interested	ADJ
ap-7150	97	43	in	in	ADP
ap-7150	97	44	the	the	DET
ap-7150	97	45	stationary	stationary	ADJ
ap-7150	97	46	solutions	solution	NOUN
ap-7150	97	47	rather	rather	ADV
ap-7150	97	48	than	than	ADP
ap-7150	97	49	the	the	DET
ap-7150	97	50	transient	transient	ADJ
ap-7150	97	51	solutions	solution	NOUN
ap-7150	97	52	in	in	ADP
ap-7150	97	53	this	this	DET
ap-7150	97	54	study	study	NOUN
ap-7150	97	55	,	,	PUNCT
ap-7150	97	56	518	518	NUM
ap-7150	97	57	vol	vol	NOUN
ap-7150	97	58	.	.	PUNCT
ap-7150	97	59	61	61	NUM
ap-7150	97	60	no	no	NOUN
ap-7150	97	61	.	.	PUNCT
ap-7150	98	1	4/2021	4/2021	PROPN
ap-7150	98	2	wall	wall	NOUN
ap-7150	98	3	-	-	PUNCT
ap-7150	98	4	driven	drive	VERB
ap-7150	98	5	semi	semi	ADJ
ap-7150	98	6	-	-	ADJ
ap-7150	98	7	circular	circular	ADJ
ap-7150	98	8	cavity	cavity	NOUN
ap-7150	98	9	flow	flow	NOUN
ap-7150	98	10	(	(	PUNCT
ap-7150	98	11	a	a	NOUN
ap-7150	98	12	)	)	PUNCT
ap-7150	98	13	.	.	PUNCT
ap-7150	99	1	re	re	X
ap-7150	100	1	=	=	NOUN
ap-7150	100	2	500	500	NUM
ap-7150	100	3	(	(	PUNCT
ap-7150	100	4	b	b	NOUN
ap-7150	100	5	)	)	PUNCT
ap-7150	100	6	.	.	PUNCT
ap-7150	101	1	re	re	X
ap-7150	102	1	=	=	NOUN
ap-7150	102	2	1000	1000	NUM
ap-7150	102	3	(	(	PUNCT
ap-7150	102	4	c	c	NOUN
ap-7150	102	5	)	)	PUNCT
ap-7150	102	6	.	.	PUNCT
ap-7150	103	1	re	re	X
ap-7150	104	1	=	=	NOUN
ap-7150	104	2	2000	2000	NUM
ap-7150	104	3	(	(	PUNCT
ap-7150	104	4	d	d	NOUN
ap-7150	104	5	)	)	PUNCT
ap-7150	104	6	.	.	PUNCT
ap-7150	105	1	re	re	X
ap-7150	106	1	=	=	NOUN
ap-7150	106	2	3000	3000	NUM
ap-7150	106	3	(	(	PUNCT
ap-7150	106	4	e	e	NOUN
ap-7150	106	5	)	)	PUNCT
ap-7150	106	6	.	.	PUNCT
ap-7150	107	1	re	re	X
ap-7150	108	1	=	=	NOUN
ap-7150	108	2	4000	4000	NUM
ap-7150	108	3	(	(	PUNCT
ap-7150	108	4	f	f	NOUN
ap-7150	108	5	)	)	PUNCT
ap-7150	108	6	.	.	PUNCT
ap-7150	109	1	re	re	X
ap-7150	110	1	=	=	NOUN
ap-7150	110	2	5000	5000	NUM
ap-7150	110	3	(	(	PUNCT
ap-7150	110	4	g	g	NOUN
ap-7150	110	5	)	)	PUNCT
ap-7150	110	6	.	.	PUNCT
ap-7150	111	1	re	re	X
ap-7150	112	1	=	=	NOUN
ap-7150	112	2	6600	6600	NUM
ap-7150	112	3	(	(	PUNCT
ap-7150	112	4	h	h	NOUN
ap-7150	112	5	)	)	PUNCT
ap-7150	112	6	.	.	PUNCT
ap-7150	113	1	re	re	X
ap-7150	114	1	=	=	NOUN
ap-7150	114	2	8000	8000	NUM
ap-7150	114	3	(	(	PUNCT
ap-7150	114	4	i	i	NOUN
ap-7150	114	5	)	)	PUNCT
ap-7150	114	6	.	.	PUNCT
ap-7150	115	1	re	re	X
ap-7150	116	1	=	=	NOUN
ap-7150	116	2	10000	10000	NUM
ap-7150	116	3	(	(	PUNCT
ap-7150	116	4	j	j	NOUN
ap-7150	116	5	)	)	PUNCT
ap-7150	116	6	.	.	PUNCT
ap-7150	117	1	re	re	X
ap-7150	118	1	=	=	NOUN
ap-7150	118	2	15000	15000	NUM
ap-7150	118	3	(	(	PUNCT
ap-7150	118	4	k	k	NOUN
ap-7150	118	5	)	)	PUNCT
ap-7150	118	6	.	.	PUNCT
ap-7150	119	1	re	re	X
ap-7150	120	1	=	=	NOUN
ap-7150	120	2	20000	20000	NUM
ap-7150	120	3	(	(	PUNCT
ap-7150	120	4	l	l	NOUN
ap-7150	120	5	)	)	PUNCT
ap-7150	120	6	.	.	PUNCT
ap-7150	121	1	re	re	X
ap-7150	122	1	=	=	NOUN
ap-7150	122	2	24000	24000	NUM
ap-7150	122	3	figure	figure	NOUN
ap-7150	122	4	4	4	NUM
ap-7150	122	5	.	.	PUNCT
ap-7150	122	6	streamline	streamline	VERB
ap-7150	122	7	contours	contours	NOUN
ap-7150	122	8	of	of	ADP
ap-7150	122	9	semi	semi	ADJ
ap-7150	122	10	-	-	ADJ
ap-7150	122	11	circular	circular	ADJ
ap-7150	122	12	cavity	cavity	NOUN
ap-7150	122	13	flow	flow	NOUN
ap-7150	122	14	as	as	ADP
ap-7150	122	15	reynolds	reynolds	PROPN
ap-7150	122	16	number	number	NOUN
ap-7150	122	17	increases	increase	VERB
ap-7150	122	18	.	.	PUNCT
ap-7150	123	1	we	we	PRON
ap-7150	123	2	used	use	VERB
ap-7150	123	3	the	the	DET
ap-7150	123	4	successive	successive	ADJ
ap-7150	123	5	over	over	ADP
ap-7150	123	6	relaxation	relaxation	NOUN
ap-7150	123	7	(	(	PUNCT
ap-7150	123	8	sor	sor	NOUN
ap-7150	123	9	)	)	PUNCT
ap-7150	123	10	method	method	NOUN
ap-7150	123	11	in	in	ADP
ap-7150	123	12	order	order	NOUN
ap-7150	123	13	to	to	PART
ap-7150	123	14	solve	solve	VERB
ap-7150	123	15	the	the	DET
ap-7150	123	16	governing	govern	VERB
ap-7150	123	17	steady	steady	ADJ
ap-7150	123	18	streamfunction	streamfunction	NOUN
ap-7150	123	19	and	and	CCONJ
ap-7150	123	20	vorticity	vorticity	NOUN
ap-7150	123	21	equations	equation	NOUN
ap-7150	123	22	numerically	numerically	ADV
ap-7150	123	23	.	.	PUNCT
ap-7150	124	1	these	these	DET
ap-7150	124	2	governing	govern	VERB
ap-7150	124	3	equations	equation	NOUN
ap-7150	124	4	are	be	AUX
ap-7150	124	5	numerically	numerically	ADV
ap-7150	124	6	solved	solve	VERB
ap-7150	124	7	in	in	ADP
ap-7150	124	8	the	the	DET
ap-7150	124	9	computational	computational	ADJ
ap-7150	124	10	domain	domain	NOUN
ap-7150	124	11	using	use	VERB
ap-7150	124	12	3	3	NUM
ap-7150	124	13	point	point	NOUN
ap-7150	124	14	second	second	ADJ
ap-7150	124	15	order	order	NOUN
ap-7150	124	16	accurate	accurate	ADJ
ap-7150	124	17	central	central	ADJ
ap-7150	124	18	differencing	differencing	NOUN
ap-7150	124	19	,	,	PUNCT
ap-7150	124	20	o(∆ξ2,∆η2	o(∆ξ2,∆η2	PROPN
ap-7150	124	21	)	)	PUNCT
ap-7150	124	22	.	.	PUNCT
ap-7150	125	1	2.3	2.3	NUM
ap-7150	125	2	.	.	PUNCT
ap-7150	126	1	mapping	mapping	NOUN
ap-7150	126	2	transformation	transformation	NOUN
ap-7150	126	3	metrics	metric	NOUN
ap-7150	126	4	we	we	PRON
ap-7150	126	5	calculate	calculate	VERB
ap-7150	126	6	the	the	DET
ap-7150	126	7	mapping	mapping	NOUN
ap-7150	126	8	transformation	transformation	NOUN
ap-7150	126	9	metrics	metric	NOUN
ap-7150	126	10	(	(	PUNCT
ap-7150	126	11	xξ	xξ	PROPN
ap-7150	126	12	,	,	PUNCT
ap-7150	126	13	xη	xη	PROPN
ap-7150	126	14	,	,	PUNCT
ap-7150	126	15	yξ	yξ	NOUN
ap-7150	126	16	,	,	PUNCT
ap-7150	126	17	yη	yη	NOUN
ap-7150	126	18	)	)	PUNCT
ap-7150	126	19	numerically	numerically	ADV
ap-7150	126	20	using	use	VERB
ap-7150	126	21	finite	finite	ADJ
ap-7150	126	22	difference	difference	NOUN
ap-7150	126	23	.	.	PUNCT
ap-7150	127	1	the	the	DET
ap-7150	127	2	mapping	mapping	NOUN
ap-7150	127	3	transformation	transformation	NOUN
ap-7150	127	4	metrics	metric	NOUN
ap-7150	127	5	appear	appear	VERB
ap-7150	127	6	explicitly	explicitly	ADV
ap-7150	127	7	in	in	ADP
ap-7150	127	8	the	the	DET
ap-7150	127	9	coefficients	coefficient	NOUN
ap-7150	127	10	(	(	PUNCT
ap-7150	127	11	α	α	NOUN
ap-7150	127	12	,	,	PUNCT
ap-7150	127	13	β	β	X
ap-7150	127	14	,	,	PUNCT
ap-7150	127	15	γ	γ	PROPN
ap-7150	127	16	,	,	PUNCT
ap-7150	127	17	σ	σ	PROPN
ap-7150	127	18	,	,	PUNCT
ap-7150	127	19	τ	τ	PROPN
ap-7150	127	20	)	)	PUNCT
ap-7150	127	21	of	of	ADP
ap-7150	127	22	the	the	DET
ap-7150	127	23	governing	govern	VERB
ap-7150	127	24	streamfunction	streamfunction	NOUN
ap-7150	127	25	and	and	CCONJ
ap-7150	127	26	vorticity	vorticity	NOUN
ap-7150	127	27	equations	equation	NOUN
ap-7150	127	28	(	(	PUNCT
ap-7150	127	29	13	13	NUM
ap-7150	127	30	and	and	CCONJ
ap-7150	127	31	14	14	NUM
ap-7150	127	32	)	)	PUNCT
ap-7150	127	33	.	.	PUNCT
ap-7150	128	1	in	in	ADP
ap-7150	128	2	order	order	NOUN
ap-7150	128	3	to	to	PART
ap-7150	128	4	minimize	minimize	VERB
ap-7150	128	5	the	the	DET
ap-7150	128	6	effect	effect	NOUN
ap-7150	128	7	of	of	ADP
ap-7150	128	8	the	the	DET
ap-7150	128	9	finite	finite	ADJ
ap-7150	128	10	difference	difference	NOUN
ap-7150	128	11	approximation	approximation	NOUN
ap-7150	128	12	errors	error	NOUN
ap-7150	128	13	associated	associate	VERB
ap-7150	128	14	with	with	ADP
ap-7150	128	15	numerically	numerically	ADV
ap-7150	128	16	calculated	calculate	VERB
ap-7150	128	17	mapping	mapping	NOUN
ap-7150	128	18	transformation	transformation	NOUN
ap-7150	128	19	metrics	metric	NOUN
ap-7150	128	20	on	on	ADP
ap-7150	128	21	the	the	DET
ap-7150	128	22	numerical	numerical	ADJ
ap-7150	128	23	solution	solution	NOUN
ap-7150	128	24	of	of	ADP
ap-7150	128	25	the	the	DET
ap-7150	128	26	governing	govern	VERB
ap-7150	128	27	flow	flow	NOUN
ap-7150	128	28	equations	equation	NOUN
ap-7150	128	29	,	,	PUNCT
ap-7150	128	30	we	we	PRON
ap-7150	128	31	decided	decide	VERB
ap-7150	128	32	to	to	PART
ap-7150	128	33	use	use	VERB
ap-7150	128	34	fourth	fourth	ADJ
ap-7150	128	35	order	order	NOUN
ap-7150	128	36	accurate	accurate	ADJ
ap-7150	128	37	differencing	differencing	NOUN
ap-7150	128	38	,	,	PUNCT
ap-7150	128	39	o(∆ξ4,∆η4	o(∆ξ4,∆η4	NOUN
ap-7150	128	40	)	)	PUNCT
ap-7150	128	41	,	,	PUNCT
ap-7150	128	42	in	in	ADP
ap-7150	128	43	calculating	calculate	VERB
ap-7150	128	44	the	the	DET
ap-7150	128	45	mapping	mapping	NOUN
ap-7150	128	46	metrics	metric	NOUN
ap-7150	128	47	,	,	PUNCT
ap-7150	128	48	which	which	PRON
ap-7150	128	49	is	be	AUX
ap-7150	128	50	higher	high	ADJ
ap-7150	128	51	than	than	ADP
ap-7150	128	52	the	the	DET
ap-7150	128	53	accuracy	accuracy	NOUN
ap-7150	128	54	of	of	ADP
ap-7150	128	55	the	the	DET
ap-7150	128	56	streamfunction	streamfunction	NOUN
ap-7150	128	57	and	and	CCONJ
ap-7150	128	58	vorticity	vorticity	NOUN
ap-7150	128	59	finite	finite	ADJ
ap-7150	128	60	difference	difference	NOUN
ap-7150	128	61	equations	equation	NOUN
ap-7150	128	62	.	.	PUNCT
ap-7150	129	1	with	with	ADP
ap-7150	129	2	high	high	ADJ
ap-7150	129	3	order	order	NOUN
ap-7150	129	4	accurate	accurate	ADJ
ap-7150	129	5	finite	finite	ADJ
ap-7150	129	6	difference	difference	NOUN
ap-7150	129	7	approximation	approximation	NOUN
ap-7150	129	8	for	for	ADP
ap-7150	129	9	the	the	DET
ap-7150	129	10	mapping	mapping	NOUN
ap-7150	129	11	transformation	transformation	NOUN
ap-7150	129	12	metrics	metric	NOUN
ap-7150	129	13	,	,	PUNCT
ap-7150	129	14	we	we	PRON
ap-7150	129	15	obtain	obtain	VERB
ap-7150	129	16	more	more	ADV
ap-7150	129	17	accurate	accurate	ADJ
ap-7150	129	18	numerical	numerical	ADJ
ap-7150	129	19	solutions	solution	NOUN
ap-7150	129	20	for	for	ADP
ap-7150	129	21	streamfunction	streamfunction	NOUN
ap-7150	129	22	and	and	CCONJ
ap-7150	129	23	vorticity	vorticity	NOUN
ap-7150	129	24	equations	equation	NOUN
ap-7150	129	25	.	.	PUNCT
ap-7150	130	1	we	we	PRON
ap-7150	130	2	note	note	VERB
ap-7150	130	3	that	that	SCONJ
ap-7150	130	4	since	since	SCONJ
ap-7150	130	5	we	we	PRON
ap-7150	130	6	calculate	calculate	VERB
ap-7150	130	7	the	the	DET
ap-7150	130	8	mapping	mapping	NOUN
ap-7150	130	9	metrics	metric	NOUN
ap-7150	130	10	only	only	ADV
ap-7150	130	11	once	once	ADV
ap-7150	130	12	,	,	PUNCT
ap-7150	130	13	the	the	DET
ap-7150	130	14	increase	increase	NOUN
ap-7150	130	15	in	in	ADP
ap-7150	130	16	the	the	DET
ap-7150	130	17	computational	computational	ADJ
ap-7150	130	18	effort	effort	NOUN
ap-7150	130	19	when	when	SCONJ
ap-7150	130	20	using	use	VERB
ap-7150	130	21	higher	high	ADJ
ap-7150	130	22	accuracy	accuracy	NOUN
ap-7150	130	23	for	for	ADP
ap-7150	130	24	the	the	DET
ap-7150	130	25	mapping	mapping	NOUN
ap-7150	130	26	metrics	metric	NOUN
ap-7150	130	27	is	be	AUX
ap-7150	130	28	insignificant	insignificant	ADJ
ap-7150	130	29	as	as	SCONJ
ap-7150	130	30	compared	compare	VERB
ap-7150	130	31	to	to	ADP
ap-7150	130	32	the	the	DET
ap-7150	130	33	computational	computational	ADJ
ap-7150	130	34	effort	effort	NOUN
ap-7150	130	35	used	use	VERB
ap-7150	130	36	for	for	ADP
ap-7150	130	37	solving	solve	VERB
ap-7150	130	38	the	the	DET
ap-7150	130	39	governing	govern	VERB
ap-7150	130	40	streamfunction	streamfunction	NOUN
ap-7150	130	41	and	and	CCONJ
ap-7150	130	42	vorticity	vorticity	NOUN
ap-7150	130	43	equations	equation	NOUN
ap-7150	130	44	.	.	PUNCT
ap-7150	131	1	at	at	ADP
ap-7150	131	2	the	the	DET
ap-7150	131	3	interior	interior	ADJ
ap-7150	131	4	points	point	NOUN
ap-7150	131	5	of	of	ADP
ap-7150	131	6	the	the	DET
ap-7150	131	7	computational	computational	ADJ
ap-7150	131	8	domain	domain	NOUN
ap-7150	131	9	,	,	PUNCT
ap-7150	131	10	the	the	DET
ap-7150	131	11	mapping	mapping	NOUN
ap-7150	131	12	metrics	metric	NOUN
ap-7150	131	13	are	be	AUX
ap-7150	131	14	calculated	calculate	VERB
ap-7150	131	15	using	use	VERB
ap-7150	131	16	the	the	DET
ap-7150	131	17	following	follow	VERB
ap-7150	131	18	5	5	NUM
ap-7150	131	19	point	point	NOUN
ap-7150	131	20	central	central	ADJ
ap-7150	131	21	fourth	fourth	ADJ
ap-7150	131	22	order	order	NOUN
ap-7150	131	23	finite	finite	ADJ
ap-7150	131	24	difference	difference	NOUN
ap-7150	131	25	equation	equation	NOUN
ap-7150	131	26	(	(	PUNCT
ap-7150	131	27	fη)i	fη)i	PROPN
ap-7150	131	28	,	,	PUNCT
ap-7150	131	29	j	j	NOUN
ap-7150	131	30	=	=	SYM
ap-7150	131	31	fi	fi	PROPN
ap-7150	131	32	,	,	PUNCT
ap-7150	131	33	j−2	j−2	PROPN
ap-7150	131	34	−	−	NOUN
ap-7150	132	1	8fi	8fi	NOUN
ap-7150	132	2	,	,	PUNCT
ap-7150	132	3	j−1	j−1	PROPN
ap-7150	132	4	+	+	CCONJ
ap-7150	132	5	8fi	8fi	ADV
ap-7150	132	6	,	,	PUNCT
ap-7150	132	7	j+1	j+1	PROPN
ap-7150	132	8	−	−	PROPN
ap-7150	132	9	fi	fi	NOUN
ap-7150	132	10	,	,	PUNCT
ap-7150	132	11	j+2	j+2	PROPN
ap-7150	132	12	12	12	NUM
ap-7150	132	13	(	(	PUNCT
ap-7150	132	14	17	17	NUM
ap-7150	132	15	)	)	PUNCT
ap-7150	132	16	where	where	SCONJ
ap-7150	132	17	again	again	ADV
ap-7150	132	18	,	,	PUNCT
ap-7150	132	19	f	f	PROPN
ap-7150	132	20	is	be	AUX
ap-7150	132	21	any	any	DET
ap-7150	132	22	differentiable	differentiable	ADJ
ap-7150	132	23	function	function	NOUN
ap-7150	132	24	,	,	PUNCT
ap-7150	132	25	which	which	PRON
ap-7150	132	26	,	,	PUNCT
ap-7150	132	27	in	in	ADP
ap-7150	132	28	our	our	PRON
ap-7150	132	29	case	case	NOUN
ap-7150	132	30	,	,	PUNCT
ap-7150	132	31	can	can	AUX
ap-7150	132	32	be	be	AUX
ap-7150	132	33	x	x	PUNCT
ap-7150	132	34	or	or	CCONJ
ap-7150	132	35	y	y	PROPN
ap-7150	132	36	and	and	CCONJ
ap-7150	132	37	the	the	DET
ap-7150	132	38	subscripts	subscript	NOUN
ap-7150	132	39	i	i	PRON
ap-7150	132	40	and	and	CCONJ
ap-7150	132	41	j	j	PROPN
ap-7150	132	42	denote	denote	VERB
ap-7150	132	43	the	the	DET
ap-7150	132	44	grid	grid	NOUN
ap-7150	132	45	index	index	NOUN
ap-7150	132	46	in	in	ADP
ap-7150	132	47	ξ	ξ	PROPN
ap-7150	132	48	and	and	CCONJ
ap-7150	132	49	η	η	PROPN
ap-7150	132	50	directions	direction	NOUN
ap-7150	132	51	,	,	PUNCT
ap-7150	132	52	respectively	respectively	ADV
ap-7150	132	53	.	.	PUNCT
ap-7150	133	1	using	use	VERB
ap-7150	133	2	the	the	DET
ap-7150	133	3	same	same	ADJ
ap-7150	133	4	finite	finite	ADJ
ap-7150	133	5	difference	difference	NOUN
ap-7150	133	6	equation	equation	NOUN
ap-7150	133	7	,	,	PUNCT
ap-7150	133	8	the	the	DET
ap-7150	133	9	transformation	transformation	NOUN
ap-7150	133	10	metrics	metric	NOUN
ap-7150	133	11	for	for	ADP
ap-7150	133	12	ξ	ξ	NOUN
ap-7150	133	13	-	-	NOUN
ap-7150	133	14	direction	direction	NOUN
ap-7150	133	15	(	(	PUNCT
ap-7150	133	16	fξ	fξ	NOUN
ap-7150	133	17	)	)	PUNCT
ap-7150	133	18	are	be	AUX
ap-7150	133	19	calculated	calculate	VERB
ap-7150	133	20	similarly	similarly	ADV
ap-7150	133	21	.	.	PUNCT
ap-7150	134	1	near	near	ADP
ap-7150	134	2	the	the	DET
ap-7150	134	3	boundaries	boundary	NOUN
ap-7150	134	4	of	of	ADP
ap-7150	134	5	the	the	DET
ap-7150	134	6	computational	computational	ADJ
ap-7150	134	7	domain	domain	NOUN
ap-7150	134	8	,	,	PUNCT
ap-7150	134	9	at	at	ADP
ap-7150	134	10	the	the	DET
ap-7150	134	11	first	first	ADJ
ap-7150	134	12	grid	grid	NOUN
ap-7150	134	13	points	point	NOUN
ap-7150	134	14	above	above	ADP
ap-7150	134	15	the	the	DET
ap-7150	134	16	wall	wall	NOUN
ap-7150	134	17	,	,	PUNCT
ap-7150	134	18	the	the	DET
ap-7150	134	19	mapping	mapping	NOUN
ap-7150	134	20	metrics	metric	NOUN
ap-7150	134	21	are	be	AUX
ap-7150	134	22	calculated	calculate	VERB
ap-7150	134	23	using	use	VERB
ap-7150	134	24	the	the	DET
ap-7150	134	25	following	follow	VERB
ap-7150	134	26	5	5	NUM
ap-7150	134	27	519	519	NUM
ap-7150	134	28	ercan	ercan	NOUN
ap-7150	134	29	erturk	erturk	PROPN
ap-7150	134	30	acta	acta	PROPN
ap-7150	134	31	polytechnica	polytechnica	PROPN
ap-7150	134	32	(	(	PUNCT
ap-7150	134	33	a	a	NOUN
ap-7150	134	34	)	)	PUNCT
ap-7150	134	35	.	.	PUNCT
ap-7150	135	1	re	re	X
ap-7150	136	1	=	=	NOUN
ap-7150	136	2	500	500	NUM
ap-7150	136	3	(	(	PUNCT
ap-7150	136	4	b	b	NOUN
ap-7150	136	5	)	)	PUNCT
ap-7150	136	6	.	.	PUNCT
ap-7150	137	1	re	re	X
ap-7150	138	1	=	=	NOUN
ap-7150	138	2	1000	1000	NUM
ap-7150	138	3	(	(	PUNCT
ap-7150	138	4	c	c	NOUN
ap-7150	138	5	)	)	PUNCT
ap-7150	138	6	.	.	PUNCT
ap-7150	139	1	re	re	X
ap-7150	140	1	=	=	NOUN
ap-7150	140	2	2000	2000	NUM
ap-7150	140	3	(	(	PUNCT
ap-7150	140	4	d	d	NOUN
ap-7150	140	5	)	)	PUNCT
ap-7150	140	6	.	.	PUNCT
ap-7150	141	1	re	re	X
ap-7150	142	1	=	=	NOUN
ap-7150	142	2	3000	3000	NUM
ap-7150	142	3	(	(	PUNCT
ap-7150	142	4	e	e	NOUN
ap-7150	142	5	)	)	PUNCT
ap-7150	142	6	.	.	PUNCT
ap-7150	143	1	re	re	X
ap-7150	144	1	=	=	NOUN
ap-7150	144	2	4000	4000	NUM
ap-7150	144	3	(	(	PUNCT
ap-7150	144	4	f	f	NOUN
ap-7150	144	5	)	)	PUNCT
ap-7150	144	6	.	.	PUNCT
ap-7150	145	1	re	re	X
ap-7150	146	1	=	=	NOUN
ap-7150	146	2	5000	5000	NUM
ap-7150	146	3	(	(	PUNCT
ap-7150	146	4	g	g	NOUN
ap-7150	146	5	)	)	PUNCT
ap-7150	146	6	.	.	PUNCT
ap-7150	147	1	re	re	X
ap-7150	148	1	=	=	NOUN
ap-7150	148	2	6600	6600	NUM
ap-7150	148	3	(	(	PUNCT
ap-7150	148	4	h	h	NOUN
ap-7150	148	5	)	)	PUNCT
ap-7150	148	6	.	.	PUNCT
ap-7150	149	1	re	re	X
ap-7150	150	1	=	=	NOUN
ap-7150	150	2	8000	8000	NUM
ap-7150	150	3	(	(	PUNCT
ap-7150	150	4	i	i	NOUN
ap-7150	150	5	)	)	PUNCT
ap-7150	150	6	.	.	PUNCT
ap-7150	151	1	re	re	X
ap-7150	152	1	=	=	NOUN
ap-7150	152	2	10000	10000	NUM
ap-7150	152	3	(	(	PUNCT
ap-7150	152	4	j	j	NOUN
ap-7150	152	5	)	)	PUNCT
ap-7150	152	6	.	.	PUNCT
ap-7150	153	1	re	re	X
ap-7150	154	1	=	=	NOUN
ap-7150	154	2	15000	15000	NUM
ap-7150	154	3	(	(	PUNCT
ap-7150	154	4	k	k	NOUN
ap-7150	154	5	)	)	PUNCT
ap-7150	154	6	.	.	PUNCT
ap-7150	155	1	re	re	X
ap-7150	156	1	=	=	NOUN
ap-7150	156	2	20000	20000	NUM
ap-7150	156	3	(	(	PUNCT
ap-7150	156	4	l	l	NOUN
ap-7150	156	5	)	)	PUNCT
ap-7150	156	6	.	.	PUNCT
ap-7150	157	1	re	re	X
ap-7150	158	1	=	=	NOUN
ap-7150	158	2	24000	24000	NUM
ap-7150	158	3	figure	figure	NOUN
ap-7150	158	4	5	5	NUM
ap-7150	158	5	.	.	PUNCT
ap-7150	158	6	vorticity	vorticity	NOUN
ap-7150	158	7	contours	contours	NOUN
ap-7150	158	8	of	of	ADP
ap-7150	158	9	semi	semi	ADJ
ap-7150	158	10	-	-	ADJ
ap-7150	158	11	circular	circular	ADJ
ap-7150	158	12	cavity	cavity	NOUN
ap-7150	158	13	flow	flow	NOUN
ap-7150	158	14	as	as	ADP
ap-7150	158	15	reynolds	reynolds	PROPN
ap-7150	158	16	number	number	NOUN
ap-7150	158	17	increases	increase	VERB
ap-7150	158	18	.	.	PUNCT
ap-7150	159	1	point	point	VERB
ap-7150	159	2	one	one	NUM
ap-7150	159	3	-	-	PUNCT
ap-7150	159	4	sided	side	VERB
ap-7150	159	5	fourth	fourth	ADJ
ap-7150	159	6	order	order	NOUN
ap-7150	159	7	finite	finite	ADJ
ap-7150	159	8	difference	difference	NOUN
ap-7150	159	9	equation	equation	NOUN
ap-7150	159	10	(	(	PUNCT
ap-7150	159	11	fη)i,1	fη)i,1	SYM
ap-7150	159	12	=	=	SYM
ap-7150	159	13	−3fi,0	−3fi,0	NOUN
ap-7150	160	1	−	−	ADP
ap-7150	160	2	10fi,1	10fi,1	NUM
ap-7150	161	1	+	+	NOUN
ap-7150	161	2	18fi,2	18fi,2	NUM
ap-7150	161	3	−	−	ADJ
ap-7150	161	4	6fi,3	6fi,3	NOUN
ap-7150	162	1	+	+	CCONJ
ap-7150	162	2	fi,4	fi,4	NOUN
ap-7150	162	3	12	12	NUM
ap-7150	162	4	(	(	PUNCT
ap-7150	162	5	18	18	NUM
ap-7150	162	6	)	)	PUNCT
ap-7150	162	7	where	where	SCONJ
ap-7150	162	8	the	the	DET
ap-7150	162	9	subscripts	subscript	NOUN
ap-7150	162	10	0	0	NUM
ap-7150	162	11	refer	refer	VERB
ap-7150	162	12	to	to	ADP
ap-7150	162	13	the	the	DET
ap-7150	162	14	wall	wall	PROPN
ap-7150	162	15	grid	grid	PROPN
ap-7150	162	16	points	point	NOUN
ap-7150	162	17	and	and	CCONJ
ap-7150	162	18	1	1	NUM
ap-7150	162	19	,	,	PUNCT
ap-7150	162	20	2	2	NUM
ap-7150	162	21	,	,	PUNCT
ap-7150	162	22	3	3	NUM
ap-7150	162	23	and	and	CCONJ
ap-7150	162	24	4	4	NUM
ap-7150	162	25	refer	refer	VERB
ap-7150	162	26	to	to	ADP
ap-7150	162	27	grid	grid	NOUN
ap-7150	162	28	points	point	NOUN
ap-7150	162	29	above	above	ADP
ap-7150	162	30	the	the	DET
ap-7150	162	31	wall	wall	NOUN
ap-7150	162	32	in	in	ADP
ap-7150	162	33	the	the	DET
ap-7150	162	34	order	order	NOUN
ap-7150	162	35	.	.	PUNCT
ap-7150	163	1	similarly	similarly	ADV
ap-7150	163	2	,	,	PUNCT
ap-7150	163	3	on	on	ADP
ap-7150	163	4	the	the	DET
ap-7150	163	5	boundaries	boundary	NOUN
ap-7150	163	6	of	of	ADP
ap-7150	163	7	the	the	DET
ap-7150	163	8	computational	computational	ADJ
ap-7150	163	9	domain	domain	NOUN
ap-7150	163	10	at	at	ADP
ap-7150	163	11	the	the	DET
ap-7150	163	12	points	point	NOUN
ap-7150	163	13	on	on	ADP
ap-7150	163	14	the	the	DET
ap-7150	163	15	wall	wall	NOUN
ap-7150	163	16	,	,	PUNCT
ap-7150	163	17	the	the	DET
ap-7150	163	18	mapping	mapping	NOUN
ap-7150	163	19	metrics	metric	NOUN
ap-7150	163	20	are	be	AUX
ap-7150	163	21	calculated	calculate	VERB
ap-7150	163	22	using	use	VERB
ap-7150	163	23	the	the	DET
ap-7150	163	24	following	follow	VERB
ap-7150	163	25	5	5	NUM
ap-7150	163	26	point	point	NOUN
ap-7150	163	27	one	one	NUM
ap-7150	163	28	-	-	PUNCT
ap-7150	163	29	sided	side	VERB
ap-7150	163	30	fourth	fourth	ADJ
ap-7150	163	31	order	order	NOUN
ap-7150	163	32	finite	finite	ADJ
ap-7150	163	33	difference	difference	NOUN
ap-7150	163	34	equation	equation	NOUN
ap-7150	163	35	(	(	PUNCT
ap-7150	163	36	fη)i,0	fη)i,0	X
ap-7150	163	37	=	=	SYM
ap-7150	164	1	−25fi,0	−25fi,0	PROPN
ap-7150	164	2	+	+	NUM
ap-7150	164	3	48fi,1	48fi,1	NUM
ap-7150	164	4	−	−	NOUN
ap-7150	164	5	36fi,2	36fi,2	PROPN
ap-7150	165	1	+	+	CCONJ
ap-7150	165	2	16fi,3	16fi,3	NUM
ap-7150	165	3	−	−	PROPN
ap-7150	165	4	3fi,4	3fi,4	NUM
ap-7150	165	5	12	12	NUM
ap-7150	165	6	(	(	PUNCT
ap-7150	165	7	19	19	NUM
ap-7150	165	8	)	)	PUNCT
ap-7150	165	9	using	use	VERB
ap-7150	165	10	the	the	DET
ap-7150	165	11	above	above	ADJ
ap-7150	165	12	finite	finite	ADJ
ap-7150	165	13	difference	difference	NOUN
ap-7150	165	14	equations	equation	NOUN
ap-7150	165	15	,	,	PUNCT
ap-7150	165	16	the	the	DET
ap-7150	165	17	transformation	transformation	NOUN
ap-7150	165	18	metrics	metric	NOUN
ap-7150	165	19	xξ	xξ	PROPN
ap-7150	165	20	,	,	PUNCT
ap-7150	165	21	xη	xη	PROPN
ap-7150	165	22	,	,	PUNCT
ap-7150	165	23	yξ	yξ	INTJ
ap-7150	165	24	,	,	PUNCT
ap-7150	165	25	yη	yη	PROPN
ap-7150	165	26	are	be	AUX
ap-7150	165	27	calculated	calculate	VERB
ap-7150	165	28	with	with	ADP
ap-7150	165	29	fourth	fourth	ADJ
ap-7150	165	30	order	order	NOUN
ap-7150	165	31	accuracy	accuracy	NOUN
ap-7150	165	32	o(∆ξ4,∆η4	o(∆ξ4,∆η4	NOUN
ap-7150	165	33	)	)	PUNCT
ap-7150	165	34	.	.	PUNCT
ap-7150	166	1	2.4	2.4	NUM
ap-7150	166	2	.	.	PUNCT
ap-7150	167	1	wall	wall	PROPN
ap-7150	167	2	boundary	boundary	PROPN
ap-7150	167	3	conditions	condition	NOUN
ap-7150	167	4	using	use	VERB
ap-7150	167	5	the	the	DET
ap-7150	167	6	velocity	velocity	NOUN
ap-7150	167	7	of	of	ADP
ap-7150	167	8	the	the	DET
ap-7150	167	9	top	top	ADJ
ap-7150	167	10	moving	move	VERB
ap-7150	167	11	lid	lid	NOUN
ap-7150	167	12	and	and	CCONJ
ap-7150	167	13	simplifying	simplify	VERB
ap-7150	167	14	terms	term	NOUN
ap-7150	167	15	,	,	PUNCT
ap-7150	167	16	at	at	ADP
ap-7150	167	17	the	the	DET
ap-7150	167	18	top	top	ADJ
ap-7150	167	19	wall	wall	NOUN
ap-7150	167	20	,	,	PUNCT
ap-7150	167	21	we	we	PRON
ap-7150	167	22	obtain	obtain	VERB
ap-7150	167	23	u	u	NOUN
ap-7150	167	24	=	=	NOUN
ap-7150	167	25	ψy	ψy	NOUN
ap-7150	167	26	=	=	SYM
ap-7150	167	27	−xηψξ	−xηψξ	NOUN
ap-7150	168	1	+	+	CCONJ
ap-7150	168	2	xξψη	xξψη	PROPN
ap-7150	168	3	j	j	PROPN
ap-7150	168	4	=	=	PROPN
ap-7150	168	5	xξψη	xξψη	PROPN
ap-7150	168	6	j	j	PROPN
ap-7150	169	1	=	=	SYM
ap-7150	169	2	1	1	NUM
ap-7150	169	3	(	(	PUNCT
ap-7150	169	4	20	20	NUM
ap-7150	169	5	)	)	PUNCT
ap-7150	169	6	simplifying	simplify	VERB
ap-7150	169	7	the	the	DET
ap-7150	169	8	streamfunction	streamfunction	NOUN
ap-7150	169	9	equation	equation	NOUN
ap-7150	169	10	and	and	CCONJ
ap-7150	169	11	also	also	ADV
ap-7150	169	12	substituting	substitute	VERB
ap-7150	169	13	the	the	DET
ap-7150	169	14	above	above	ADJ
ap-7150	169	15	equation	equation	NOUN
ap-7150	169	16	,	,	PUNCT
ap-7150	169	17	at	at	ADP
ap-7150	169	18	the	the	DET
ap-7150	169	19	grid	grid	NOUN
ap-7150	169	20	points	point	NOUN
ap-7150	169	21	on	on	ADP
ap-7150	169	22	the	the	DET
ap-7150	169	23	top	top	ADJ
ap-7150	169	24	moving	moving	NOUN
ap-7150	169	25	wall	wall	NOUN
ap-7150	169	26	,	,	PUNCT
ap-7150	169	27	the	the	DET
ap-7150	169	28	vorticity	vorticity	NOUN
ap-7150	169	29	value	value	NOUN
ap-7150	169	30	is	be	AUX
ap-7150	169	31	obtained	obtain	VERB
ap-7150	169	32	as	as	ADP
ap-7150	169	33	the	the	DET
ap-7150	169	34	following	follow	VERB
ap-7150	169	35	ω(i	ω(i	PROPN
ap-7150	169	36	,	,	PUNCT
ap-7150	169	37	0	0	NUM
ap-7150	169	38	)	)	PUNCT
ap-7150	170	1	=	=	SYM
ap-7150	170	2	γ	γ	PROPN
ap-7150	170	3	j2	j2	PROPN
ap-7150	170	4	(	(	PUNCT
ap-7150	170	5	2ψ(i	2ψ(i	PROPN
ap-7150	170	6	,	,	PUNCT
ap-7150	170	7	1	1	NUM
ap-7150	170	8	)	)	PUNCT
ap-7150	170	9	+	+	CCONJ
ap-7150	170	10	2	2	NUM
ap-7150	170	11	j	j	NOUN
ap-7150	170	12	xξ	xξ	PROPN
ap-7150	170	13	)	)	PUNCT
ap-7150	170	14	(	(	PUNCT
ap-7150	170	15	21	21	NUM
ap-7150	170	16	)	)	PUNCT
ap-7150	170	17	similarly	similarly	ADV
ap-7150	170	18	,	,	PUNCT
ap-7150	170	19	on	on	ADP
ap-7150	170	20	the	the	DET
ap-7150	170	21	bottom	bottom	ADJ
ap-7150	170	22	curved	curved	ADJ
ap-7150	170	23	wall	wall	NOUN
ap-7150	170	24	,	,	PUNCT
ap-7150	170	25	the	the	DET
ap-7150	170	26	vorticity	vorticity	NOUN
ap-7150	170	27	value	value	NOUN
ap-7150	170	28	is	be	AUX
ap-7150	170	29	obtained	obtain	VERB
ap-7150	170	30	as	as	ADP
ap-7150	170	31	the	the	DET
ap-7150	170	32	following	follow	VERB
ap-7150	170	33	ω(i	ω(i	PROPN
ap-7150	170	34	,	,	PUNCT
ap-7150	170	35	0	0	NUM
ap-7150	170	36	)	)	PUNCT
ap-7150	170	37	=	=	SYM
ap-7150	171	1	2	2	NUM
ap-7150	171	2	γ	γ	X
ap-7150	171	3	j2ψ(i	j2ψ(i	PROPN
ap-7150	171	4	,	,	PUNCT
ap-7150	171	5	1	1	NUM
ap-7150	171	6	)	)	PUNCT
ap-7150	171	7	(	(	PUNCT
ap-7150	171	8	22	22	NUM
ap-7150	171	9	)	)	PUNCT
ap-7150	171	10	3	3	NUM
ap-7150	171	11	.	.	NOUN
ap-7150	171	12	results	result	NOUN
ap-7150	171	13	and	and	CCONJ
ap-7150	171	14	discussion	discussion	NOUN
ap-7150	171	15	as	as	ADP
ap-7150	171	16	convergence	convergence	NOUN
ap-7150	171	17	criteria	criterion	NOUN
ap-7150	171	18	in	in	ADP
ap-7150	171	19	our	our	PRON
ap-7150	171	20	simulations	simulation	NOUN
ap-7150	171	21	,	,	PUNCT
ap-7150	171	22	we	we	PRON
ap-7150	171	23	use	use	VERB
ap-7150	171	24	the	the	DET
ap-7150	171	25	change	change	NOUN
ap-7150	171	26	in	in	ADP
ap-7150	171	27	the	the	DET
ap-7150	171	28	streamfunction	streamfunction	NOUN
ap-7150	171	29	and	and	CCONJ
ap-7150	171	30	vorticity	vorticity	NOUN
ap-7150	171	31	variables	variable	NOUN
ap-7150	171	32	between	between	ADP
ap-7150	171	33	two	two	NUM
ap-7150	171	34	consecutive	consecutive	ADJ
ap-7150	171	35	iterations	iteration	NOUN
ap-7150	171	36	,	,	PUNCT
ap-7150	171	37	which	which	PRON
ap-7150	171	38	is	be	AUX
ap-7150	171	39	normalized	normalize	VERB
ap-7150	171	40	by	by	ADP
ap-7150	171	41	the	the	DET
ap-7150	171	42	previous	previous	ADJ
ap-7150	171	43	values	value	NOUN
ap-7150	171	44	defined	define	VERB
ap-7150	171	45	as	as	ADP
ap-7150	171	46	the	the	DET
ap-7150	171	47	following	follow	VERB
ap-7150	171	48	residualψ	residualψ	ADJ
ap-7150	171	49	=	=	SYM
ap-7150	171	50	max	max	PROPN
ap-7150	171	51	(	(	PUNCT
ap-7150	171	52	∣∣∣∣∣ψ	∣∣∣∣∣ψ	NOUN
ap-7150	171	53	k+1	k+1	X
ap-7150	171	54	i	i	PROPN
ap-7150	171	55	,	,	PUNCT
ap-7150	171	56	j	j	PROPN
ap-7150	171	57	−	−	PROPN
ap-7150	171	58	ψki	ψki	PROPN
ap-7150	171	59	,	,	PUNCT
ap-7150	171	60	j	j	PROPN
ap-7150	171	61	ψki	ψki	PROPN
ap-7150	171	62	,	,	PUNCT
ap-7150	171	63	j	j	PROPN
ap-7150	171	64	∣∣∣∣∣	∣∣∣∣∣	PROPN
ap-7150	171	65	)	)	PUNCT
ap-7150	171	66	(	(	PUNCT
ap-7150	171	67	23	23	NUM
ap-7150	171	68	)	)	PUNCT
ap-7150	171	69	520	520	NUM
ap-7150	171	70	vol	vol	NOUN
ap-7150	171	71	.	.	PUNCT
ap-7150	172	1	61	61	NUM
ap-7150	172	2	no	no	NOUN
ap-7150	172	3	.	.	PUNCT
ap-7150	173	1	4/2021	4/2021	PROPN
ap-7150	173	2	wall	wall	NOUN
ap-7150	173	3	-	-	PUNCT
ap-7150	173	4	driven	drive	VERB
ap-7150	173	5	semi	semi	ADJ
ap-7150	173	6	-	-	ADJ
ap-7150	173	7	circular	circular	ADJ
ap-7150	173	8	cavity	cavity	NOUN
ap-7150	173	9	flow	flow	VERB
ap-7150	173	10	0	0	NUM
ap-7150	173	11	0	0	NUM
ap-7150	173	12	0	0	NUM
ap-7150	173	13	0	0	NUM
ap-7150	173	14	0	0	NUM
ap-7150	173	15	0	0	NUM
ap-7150	173	16	0	0	NUM
ap-7150	173	17	0	0	NUM
ap-7150	173	18	0	0	NUM
ap-7150	173	19	0	0	NUM
ap-7150	173	20	0	0	NUM
ap-7150	173	21	0	0	NUM
ap-7150	173	22	1	1	NUM
ap-7150	173	23	1	1	NUM
ap-7150	173	24	1	1	NUM
ap-7150	173	25	1	1	NUM
ap-7150	173	26	1	1	NUM
ap-7150	173	27	1	1	NUM
ap-7150	173	28	1	1	NUM
ap-7150	173	29	1	1	NUM
ap-7150	173	30	1	1	NUM
ap-7150	173	31	1	1	NUM
ap-7150	173	32	1	1	NUM
ap-7150	173	33	1	1	NUM
ap-7150	173	34	u	u	NOUN
ap-7150	173	35	-	-	NOUN
ap-7150	173	36	velocit	velocit	NOUN
ap-7150	173	37	y	y	PROPN
ap-7150	173	38	y	y	PROPN
ap-7150	173	39	-a	-a	PROPN
ap-7150	173	40	xi	xi	PROPN
ap-7150	173	41	s	s	PROPN
ap-7150	173	42	re=500	re=500	PROPN
ap-7150	173	43	re=1000	re=1000	PROPN
ap-7150	173	44	re=2000	re=2000	NOUN
ap-7150	174	1	re=3000	re=3000	NOUN
ap-7150	175	1	re=4000	re=4000	ADJ
ap-7150	175	2	re=5000	re=5000	NOUN
ap-7150	175	3	re=6600	re=6600	NOUN
ap-7150	175	4	re=8000	re=8000	PROPN
ap-7150	175	5	re=10000	re=10000	PROPN
ap-7150	175	6	re=15000	re=15000	PROPN
ap-7150	175	7	re=20000	re=20000	NOUN
ap-7150	175	8	re=24000	re=24000	PROPN
ap-7150	175	9	figure	figure	VERB
ap-7150	175	10	6	6	NUM
ap-7150	175	11	.	.	PUNCT
ap-7150	176	1	the	the	DET
ap-7150	176	2	u	u	NOUN
ap-7150	176	3	-	-	NOUN
ap-7150	176	4	velocity	velocity	ADJ
ap-7150	176	5	profiles	profile	NOUN
ap-7150	176	6	along	along	ADP
ap-7150	176	7	the	the	DET
ap-7150	176	8	vertical	vertical	ADJ
ap-7150	176	9	line	line	NOUN
ap-7150	176	10	at	at	ADP
ap-7150	176	11	x	x	X
ap-7150	176	12	=	=	SYM
ap-7150	176	13	0	0	NUM
ap-7150	176	14	at	at	ADP
ap-7150	176	15	various	various	ADJ
ap-7150	176	16	reynolds	reynold	NOUN
ap-7150	176	17	numbers	number	NOUN
ap-7150	176	18	,	,	PUNCT
ap-7150	176	19	symbols	symbol	NOUN
ap-7150	176	20	[	[	X
ap-7150	176	21	10	10	NUM
ap-7150	176	22	]	]	PUNCT
ap-7150	176	23	,	,	PUNCT
ap-7150	176	24	symbols	symbol	NOUN
ap-7150	176	25	[	[	X
ap-7150	176	26	13	13	NUM
ap-7150	176	27	]	]	PUNCT
ap-7150	176	28	residualω	residualω	NOUN
ap-7150	176	29	=	=	SYM
ap-7150	176	30	max	max	PROPN
ap-7150	176	31	(	(	PUNCT
ap-7150	176	32	∣∣∣∣∣ω	∣∣∣∣∣ω	PROPN
ap-7150	176	33	k+1	k+1	X
ap-7150	176	34	i	i	PROPN
ap-7150	176	35	,	,	PUNCT
ap-7150	176	36	j	j	PROPN
ap-7150	176	37	−	−	PROPN
ap-7150	176	38	ωki	ωki	PROPN
ap-7150	176	39	,	,	PUNCT
ap-7150	176	40	j	j	PROPN
ap-7150	176	41	ωki	ωki	PROPN
ap-7150	176	42	,	,	PUNCT
ap-7150	176	43	j	j	PROPN
ap-7150	176	44	∣∣∣∣∣	∣∣∣∣∣	PROPN
ap-7150	176	45	)	)	PUNCT
ap-7150	176	46	(	(	PUNCT
ap-7150	176	47	24	24	NUM
ap-7150	176	48	)	)	PUNCT
ap-7150	176	49	where	where	SCONJ
ap-7150	176	50	max	max	PROPN
ap-7150	176	51	denotes	denote	VERB
ap-7150	176	52	the	the	DET
ap-7150	176	53	maximum	maximum	ADJ
ap-7150	176	54	value	value	NOUN
ap-7150	176	55	in	in	ADP
ap-7150	176	56	the	the	DET
ap-7150	176	57	solution	solution	NOUN
ap-7150	176	58	domain	domain	NOUN
ap-7150	176	59	and	and	CCONJ
ap-7150	176	60	the	the	DET
ap-7150	176	61	superscript	superscript	NOUN
ap-7150	176	62	denotes	denote	VERB
ap-7150	176	63	the	the	DET
ap-7150	176	64	iteration	iteration	NOUN
ap-7150	176	65	number	number	NOUN
ap-7150	176	66	.	.	PUNCT
ap-7150	177	1	in	in	ADP
ap-7150	177	2	our	our	PRON
ap-7150	177	3	numerical	numerical	ADJ
ap-7150	177	4	solutions	solution	NOUN
ap-7150	177	5	at	at	ADP
ap-7150	177	6	the	the	DET
ap-7150	177	7	convergence	convergence	NOUN
ap-7150	177	8	both	both	CCONJ
ap-7150	177	9	residualψ	residualψ	ADJ
ap-7150	177	10	and	and	CCONJ
ap-7150	177	11	residualω	residualω	NOUN
ap-7150	177	12	are	be	AUX
ap-7150	177	13	less	less	ADJ
ap-7150	177	14	than	than	ADP
ap-7150	177	15	10−6	10−6	NUM
ap-7150	177	16	.	.	PUNCT
ap-7150	178	1	this	this	PRON
ap-7150	178	2	means	mean	VERB
ap-7150	178	3	that	that	SCONJ
ap-7150	178	4	at	at	ADP
ap-7150	178	5	the	the	DET
ap-7150	178	6	convergence	convergence	NOUN
ap-7150	178	7	,	,	PUNCT
ap-7150	178	8	the	the	DET
ap-7150	178	9	streamfunction	streamfunction	NOUN
ap-7150	178	10	and	and	CCONJ
ap-7150	178	11	vorticity	vorticity	NOUN
ap-7150	178	12	values	value	NOUN
ap-7150	178	13	change	change	VERB
ap-7150	178	14	less	less	ADJ
ap-7150	178	15	than	than	ADP
ap-7150	178	16	one	one	NUM
ap-7150	178	17	millionth	millionth	NOUN
ap-7150	178	18	of	of	ADP
ap-7150	178	19	their	their	PRON
ap-7150	178	20	values	value	NOUN
ap-7150	178	21	between	between	ADP
ap-7150	178	22	two	two	NUM
ap-7150	178	23	consecutive	consecutive	ADJ
ap-7150	178	24	iterations	iteration	NOUN
ap-7150	178	25	at	at	ADP
ap-7150	178	26	a	a	DET
ap-7150	178	27	grid	grid	NOUN
ap-7150	178	28	point	point	NOUN
ap-7150	178	29	in	in	ADP
ap-7150	178	30	the	the	DET
ap-7150	178	31	computational	computational	ADJ
ap-7150	178	32	domain	domain	NOUN
ap-7150	178	33	as	as	ADP
ap-7150	178	34	the	the	DET
ap-7150	178	35	maximum	maximum	ADJ
ap-7150	178	36	in	in	ADP
ap-7150	178	37	absolute	absolute	ADJ
ap-7150	178	38	value	value	NOUN
ap-7150	178	39	and	and	CCONJ
ap-7150	178	40	even	even	ADV
ap-7150	178	41	less	less	ADV
ap-7150	178	42	in	in	ADP
ap-7150	178	43	the	the	DET
ap-7150	178	44	rest	rest	NOUN
ap-7150	178	45	of	of	ADP
ap-7150	178	46	the	the	DET
ap-7150	178	47	grid	grid	NOUN
ap-7150	178	48	points	point	NOUN
ap-7150	178	49	in	in	ADP
ap-7150	178	50	the	the	DET
ap-7150	178	51	computational	computational	ADJ
ap-7150	178	52	domain	domain	NOUN
ap-7150	178	53	.	.	PUNCT
ap-7150	179	1	for	for	ADP
ap-7150	179	2	the	the	DET
ap-7150	179	3	mesh	mesh	NOUN
ap-7150	179	4	generation	generation	NOUN
ap-7150	179	5	and	and	CCONJ
ap-7150	179	6	also	also	ADV
ap-7150	179	7	for	for	ADP
ap-7150	179	8	the	the	DET
ap-7150	179	9	numerical	numerical	ADJ
ap-7150	179	10	solution	solution	NOUN
ap-7150	179	11	of	of	ADP
ap-7150	179	12	the	the	DET
ap-7150	179	13	governing	govern	VERB
ap-7150	179	14	equations	equation	NOUN
ap-7150	179	15	,	,	PUNCT
ap-7150	179	16	computer	computer	NOUN
ap-7150	179	17	codes	code	NOUN
ap-7150	179	18	in	in	ADP
ap-7150	179	19	c++	c++	NOUN
ap-7150	179	20	programming	programming	NOUN
ap-7150	179	21	language	language	NOUN
ap-7150	179	22	are	be	AUX
ap-7150	179	23	written	write	VERB
ap-7150	179	24	and	and	CCONJ
ap-7150	179	25	using	use	VERB
ap-7150	179	26	these	these	DET
ap-7150	179	27	codes	code	NOUN
ap-7150	179	28	,	,	PUNCT
ap-7150	179	29	we	we	PRON
ap-7150	179	30	numerically	numerically	ADV
ap-7150	179	31	solve	solve	VERB
ap-7150	179	32	the	the	DET
ap-7150	179	33	incomre	incomre	PROPN
ap-7150	179	34	ψmin	ψmin	NOUN
ap-7150	179	35	(	(	PUNCT
ap-7150	179	36	x	x	X
ap-7150	179	37	,	,	PUNCT
ap-7150	179	38	y	y	PROPN
ap-7150	179	39	)	)	PUNCT
ap-7150	179	40	1000	1000	NUM
ap-7150	179	41	present	present	ADJ
ap-7150	179	42	study	study	NOUN
ap-7150	179	43	-0.07808	-0.07808	NOUN
ap-7150	179	44	(	(	PUNCT
ap-7150	179	45	0.6193,-0.2030	0.6193,-0.2030	PROPN
ap-7150	179	46	)	)	PUNCT
ap-7150	179	47	glowinski	glowinski	VERB
ap-7150	179	48	et	et	PROPN
ap-7150	179	49	al	al	PROPN
ap-7150	179	50	.	.	PUNCT
ap-7150	180	1	[	[	X
ap-7150	180	2	10	10	NUM
ap-7150	180	3	]	]	X
ap-7150	180	4	-0,0779	-0,0779	PROPN
ap-7150	180	5	(	(	PUNCT
ap-7150	180	6	0.6214,-0.2030	0.6214,-0.2030	NOUN
ap-7150	180	7	)	)	PUNCT
ap-7150	180	8	yang	yang	PROPN
ap-7150	180	9	et	et	PROPN
ap-7150	180	10	al	al	PROPN
ap-7150	180	11	.	.	PUNCT
ap-7150	181	1	[	[	X
ap-7150	181	2	12	12	NUM
ap-7150	181	3	]	]	X
ap-7150	181	4	-0.0775	-0.0775	NOUN
ap-7150	181	5	(	(	PUNCT
ap-7150	181	6	0.6201	0.6201	NUM
ap-7150	181	7	,	,	PUNCT
ap-7150	181	8	-0.2060	-0.2060	NOUN
ap-7150	181	9	)	)	PUNCT
ap-7150	181	10	yu	yu	PROPN
ap-7150	181	11	et	et	PROPN
ap-7150	181	12	al	al	PROPN
ap-7150	181	13	.	.	PUNCT
ap-7150	182	1	[	[	X
ap-7150	182	2	14	14	NUM
ap-7150	182	3	]	]	X
ap-7150	182	4	-0.0779	-0.0779	X
ap-7150	182	5	(	(	PUNCT
ap-7150	182	6	0.6225	0.6225	NUM
ap-7150	182	7	,	,	PUNCT
ap-7150	182	8	-0.2044	-0.2044	PROPN
ap-7150	182	9	)	)	PUNCT
ap-7150	182	10	2000	2000	NUM
ap-7150	182	11	present	present	ADJ
ap-7150	182	12	study	study	NOUN
ap-7150	182	13	-0.07674	-0.07674	NOUN
ap-7150	182	14	(	(	PUNCT
ap-7150	182	15	0.6359,-0.2062	0.6359,-0.2062	X
ap-7150	182	16	)	)	PUNCT
ap-7150	182	17	glowinski	glowinski	VERB
ap-7150	182	18	et	et	PROPN
ap-7150	182	19	al	al	PROPN
ap-7150	182	20	.	.	PUNCT
ap-7150	183	1	[	[	X
ap-7150	183	2	10	10	NUM
ap-7150	183	3	]	]	SYM
ap-7150	183	4	-0.0763	-0.0763	NOUN
ap-7150	183	5	(	(	PUNCT
ap-7150	183	6	0.6359,-0.2052	0.6359,-0.2052	X
ap-7150	183	7	)	)	PUNCT
ap-7150	183	8	yang	yang	PROPN
ap-7150	183	9	et	et	PROPN
ap-7150	183	10	al	al	PROPN
ap-7150	183	11	.	.	PUNCT
ap-7150	184	1	[	[	X
ap-7150	184	2	12	12	NUM
ap-7150	184	3	]	]	PUNCT
ap-7150	184	4	-0.076	-0.076	PUNCT
ap-7150	184	5	(	(	PUNCT
ap-7150	184	6	0.6376	0.6376	NOUN
ap-7150	184	7	,	,	PUNCT
ap-7150	184	8	-0.2061	-0.2061	PROPN
ap-7150	184	9	)	)	PUNCT
ap-7150	184	10	yu	yu	PROPN
ap-7150	184	11	et	et	PROPN
ap-7150	184	12	al	al	PROPN
ap-7150	184	13	.	.	PUNCT
ap-7150	185	1	[	[	X
ap-7150	185	2	14	14	NUM
ap-7150	185	3	]	]	SYM
ap-7150	185	4	-0.0764	-0.0764	NOUN
ap-7150	185	5	(	(	PUNCT
ap-7150	185	6	0.6367	0.6367	NUM
ap-7150	185	7	,	,	PUNCT
ap-7150	185	8	-0.2046	-0.2046	NOUN
ap-7150	185	9	)	)	PUNCT
ap-7150	185	10	3000	3000	NUM
ap-7150	185	11	present	present	ADJ
ap-7150	185	12	study	study	NOUN
ap-7150	185	13	-0.07461	-0.07461	NOUN
ap-7150	185	14	(	(	PUNCT
ap-7150	185	15	0.6551,-0.2020	0.6551,-0.2020	NOUN
ap-7150	185	16	)	)	PUNCT
ap-7150	185	17	glowinski	glowinski	VERB
ap-7150	185	18	et	et	PROPN
ap-7150	185	19	al	al	PROPN
ap-7150	185	20	.	.	PUNCT
ap-7150	186	1	[	[	X
ap-7150	186	2	10	10	NUM
ap-7150	186	3	]	]	PUNCT
ap-7150	186	4	-0.0742	-0.0742	X
ap-7150	186	5	(	(	PUNCT
ap-7150	186	6	0.6514,-0.2027	0.6514,-0.2027	NUM
ap-7150	186	7	)	)	PUNCT
ap-7150	186	8	yang	yang	PROPN
ap-7150	186	9	et	et	PROPN
ap-7150	186	10	al	al	PROPN
ap-7150	186	11	.	.	PUNCT
ap-7150	187	1	[	[	X
ap-7150	187	2	12	12	NUM
ap-7150	187	3	]	]	PUNCT
ap-7150	187	4	-0.0737	-0.0737	NOUN
ap-7150	187	5	(	(	PUNCT
ap-7150	187	6	0.6553	0.6553	NUM
ap-7150	187	7	,	,	PUNCT
ap-7150	187	8	-0.2041	-0.2041	NOUN
ap-7150	187	9	)	)	PUNCT
ap-7150	187	10	yu	yu	PROPN
ap-7150	187	11	et	et	PROPN
ap-7150	187	12	al	al	PROPN
ap-7150	187	13	.	.	PUNCT
ap-7150	188	1	[	[	X
ap-7150	188	2	14	14	NUM
ap-7150	188	3	]	]	SYM
ap-7150	188	4	-0.0740	-0.0740	NOUN
ap-7150	188	5	(	(	PUNCT
ap-7150	188	6	0.6636	0.6636	NUM
ap-7150	188	7	,	,	PUNCT
ap-7150	188	8	-0.1993	-0.1993	NOUN
ap-7150	188	9	)	)	PUNCT
ap-7150	188	10	5000	5000	NUM
ap-7150	188	11	present	present	ADJ
ap-7150	188	12	study	study	NOUN
ap-7150	188	13	-0.07026	-0.07026	PROPN
ap-7150	188	14	(	(	PUNCT
ap-7150	188	15	0.6891,-0.1931	0.6891,-0.1931	NOUN
ap-7150	188	16	)	)	PUNCT
ap-7150	188	17	glowinski	glowinski	NOUN
ap-7150	188	18	et	et	PROPN
ap-7150	188	19	al	al	PROPN
ap-7150	188	20	.	.	PUNCT
ap-7150	189	1	[	[	X
ap-7150	189	2	10	10	NUM
ap-7150	189	3	]	]	X
ap-7150	189	4	-0.07	-0.07	X
ap-7150	189	5	(	(	PUNCT
ap-7150	189	6	0.6833,-0.1936	0.6833,-0.1936	PROPN
ap-7150	189	7	)	)	PUNCT
ap-7150	189	8	yang	yang	PROPN
ap-7150	189	9	et	et	PROPN
ap-7150	189	10	al	al	PROPN
ap-7150	189	11	.	.	PUNCT
ap-7150	190	1	[	[	X
ap-7150	190	2	12	12	NUM
ap-7150	190	3	]	]	SYM
ap-7150	190	4	-0.069	-0.069	PUNCT
ap-7150	190	5	(	(	PUNCT
ap-7150	190	6	0.6846	0.6846	NUM
ap-7150	190	7	,	,	PUNCT
ap-7150	190	8	-0.1963	-0.1963	NUM
ap-7150	190	9	)	)	PUNCT
ap-7150	190	10	yu	yu	PROPN
ap-7150	190	11	et	et	PROPN
ap-7150	190	12	al	al	PROPN
ap-7150	190	13	.	.	PUNCT
ap-7150	191	1	[	[	X
ap-7150	191	2	14	14	NUM
ap-7150	191	3	]	]	X
ap-7150	191	4	-0.0691	-0.0691	X
ap-7150	191	5	(	(	PUNCT
ap-7150	191	6	0.7055	0.7055	NUM
ap-7150	191	7	,	,	PUNCT
ap-7150	191	8	-0.1863	-0.1863	NUM
ap-7150	191	9	)	)	PUNCT
ap-7150	191	10	mercan	mercan	NOUN
ap-7150	191	11	et	et	PROPN
ap-7150	191	12	al	al	PROPN
ap-7150	191	13	.	.	PUNCT
ap-7150	192	1	[	[	X
ap-7150	192	2	15	15	NUM
ap-7150	192	3	]	]	X
ap-7150	192	4	-0.0694	-0.0694	NOUN
ap-7150	192	5	(	(	PUNCT
ap-7150	192	6	0.7132,-0.1825	0.7132,-0.1825	PROPN
ap-7150	192	7	)	)	PUNCT
ap-7150	192	8	6600	6600	NUM
ap-7150	192	9	present	present	ADJ
ap-7150	192	10	study	study	NOUN
ap-7150	192	11	-0.06718	-0.06718	NOUN
ap-7150	192	12	(	(	PUNCT
ap-7150	192	13	0.7096,-0.1868	0.7096,-0.1868	X
ap-7150	192	14	)	)	PUNCT
ap-7150	192	15	glowinski	glowinski	VERB
ap-7150	192	16	et	et	PROPN
ap-7150	192	17	al	al	PROPN
ap-7150	192	18	.	.	PUNCT
ap-7150	193	1	[	[	X
ap-7150	193	2	10	10	NUM
ap-7150	193	3	]	]	SYM
ap-7150	193	4	-0.067	-0.067	NUM
ap-7150	193	5	(	(	PUNCT
ap-7150	193	6	0.7009,-0.1891	0.7009,-0.1891	X
ap-7150	193	7	)	)	PUNCT
ap-7150	193	8	yang	yang	PROPN
ap-7150	193	9	et	et	PROPN
ap-7150	193	10	al	al	PROPN
ap-7150	193	11	.	.	PUNCT
ap-7150	194	1	[	[	X
ap-7150	194	2	12	12	NUM
ap-7150	194	3	]	]	X
ap-7150	194	4	-0.0657	-0.0657	X
ap-7150	194	5	(	(	PUNCT
ap-7150	194	6	0.7002	0.7002	NUM
ap-7150	194	7	,	,	PUNCT
ap-7150	194	8	-0.1905	-0.1905	PROPN
ap-7150	194	9	)	)	PUNCT
ap-7150	194	10	yu	yu	PROPN
ap-7150	194	11	et	et	PROPN
ap-7150	194	12	al	al	PROPN
ap-7150	194	13	.	.	PUNCT
ap-7150	195	1	[	[	X
ap-7150	195	2	14	14	NUM
ap-7150	195	3	]	]	X
ap-7150	195	4	-0.0652	-0.0652	PUNCT
ap-7150	195	5	(	(	PUNCT
ap-7150	195	6	0.7353	0.7353	NUM
ap-7150	195	7	,	,	PUNCT
ap-7150	195	8	-0.1745	-0.1745	NOUN
ap-7150	195	9	)	)	PUNCT
ap-7150	195	10	mercan	mercan	NOUN
ap-7150	195	11	et	et	PROPN
ap-7150	195	12	al	al	PROPN
ap-7150	195	13	.	.	PUNCT
ap-7150	196	1	[	[	X
ap-7150	196	2	15	15	NUM
ap-7150	196	3	]	]	X
ap-7150	196	4	-0.0656	-0.0656	NOUN
ap-7150	196	5	(	(	PUNCT
ap-7150	196	6	0.7464,-0.1704	0.7464,-0.1704	NOUN
ap-7150	196	7	)	)	PUNCT
ap-7150	196	8	table	table	NOUN
ap-7150	196	9	1	1	NUM
ap-7150	196	10	.	.	PUNCT
ap-7150	196	11	comparison	comparison	NOUN
ap-7150	196	12	of	of	ADP
ap-7150	196	13	the	the	DET
ap-7150	196	14	minimum	minimum	ADJ
ap-7150	196	15	streamfunction	streamfunction	NOUN
ap-7150	196	16	and	and	CCONJ
ap-7150	196	17	location	location	NOUN
ap-7150	196	18	of	of	ADP
ap-7150	196	19	center	center	NOUN
ap-7150	196	20	of	of	ADP
ap-7150	196	21	the	the	DET
ap-7150	196	22	primary	primary	ADJ
ap-7150	196	23	vortex	vortex	NOUN
ap-7150	196	24	.	.	PUNCT
ap-7150	197	1	pressible	pressible	ADJ
ap-7150	197	2	viscous	viscous	ADJ
ap-7150	197	3	flow	flow	NOUN
ap-7150	197	4	in	in	ADP
ap-7150	197	5	a	a	DET
ap-7150	197	6	semi	semi	ADJ
ap-7150	197	7	-	-	ADJ
ap-7150	197	8	circular	circular	ADJ
ap-7150	197	9	cavity	cavity	NOUN
ap-7150	197	10	.	.	PUNCT
ap-7150	198	1	we	we	PRON
ap-7150	198	2	start	start	VERB
ap-7150	198	3	solving	solve	VERB
ap-7150	198	4	the	the	DET
ap-7150	198	5	considered	consider	VERB
ap-7150	198	6	flow	flow	NOUN
ap-7150	198	7	for	for	ADP
ap-7150	198	8	reynolds	reynold	NOUN
ap-7150	198	9	number	number	NOUN
ap-7150	198	10	of	of	ADP
ap-7150	198	11	500	500	NUM
ap-7150	198	12	.	.	PUNCT
ap-7150	199	1	then	then	ADV
ap-7150	199	2	,	,	PUNCT
ap-7150	199	3	we	we	PRON
ap-7150	199	4	progressively	progressively	ADV
ap-7150	199	5	increase	increase	VERB
ap-7150	199	6	the	the	DET
ap-7150	199	7	reynolds	reynold	NOUN
ap-7150	199	8	number	number	NOUN
ap-7150	199	9	by	by	ADP
ap-7150	199	10	using	use	VERB
ap-7150	199	11	the	the	DET
ap-7150	199	12	previous	previous	ADJ
ap-7150	199	13	reynolds	reynold	NOUN
ap-7150	199	14	number	number	NOUN
ap-7150	199	15	solution	solution	NOUN
ap-7150	199	16	as	as	ADP
ap-7150	199	17	the	the	DET
ap-7150	199	18	initial	initial	ADJ
ap-7150	199	19	guess	guess	NOUN
ap-7150	199	20	for	for	ADP
ap-7150	199	21	the	the	DET
ap-7150	199	22	next	next	ADJ
ap-7150	199	23	highest	high	ADJ
ap-7150	199	24	reynolds	reynolds	PROPN
ap-7150	199	25	number	number	NOUN
ap-7150	199	26	.	.	PUNCT
ap-7150	200	1	with	with	ADP
ap-7150	200	2	this	this	DET
ap-7150	200	3	approach	approach	NOUN
ap-7150	200	4	,	,	PUNCT
ap-7150	200	5	we	we	PRON
ap-7150	200	6	obtain	obtain	VERB
ap-7150	200	7	numerical	numerical	ADJ
ap-7150	200	8	solutions	solution	NOUN
ap-7150	200	9	of	of	ADP
ap-7150	200	10	the	the	DET
ap-7150	200	11	wall	wall	NOUN
ap-7150	200	12	-	-	PUNCT
ap-7150	200	13	driven	drive	VERB
ap-7150	200	14	semi	semi	ADJ
ap-7150	200	15	-	-	ADJ
ap-7150	200	16	circular	circular	ADJ
ap-7150	200	17	cavity	cavity	NOUN
ap-7150	200	18	flow	flow	VERB
ap-7150	200	19	up	up	ADP
ap-7150	200	20	to	to	ADP
ap-7150	200	21	reynolds	reynolds	PROPN
ap-7150	200	22	number	number	NOUN
ap-7150	200	23	of	of	ADP
ap-7150	200	24	24000	24000	NUM
ap-7150	200	25	.	.	PUNCT
ap-7150	201	1	the	the	DET
ap-7150	201	2	streamfunction	streamfunction	NOUN
ap-7150	201	3	and	and	CCONJ
ap-7150	201	4	vorticity	vorticity	NOUN
ap-7150	201	5	contours	contours	NOUN
ap-7150	201	6	presented	present	VERB
ap-7150	201	7	in	in	ADP
ap-7150	201	8	figure	figure	NOUN
ap-7150	201	9	4	4	NUM
ap-7150	201	10	and	and	CCONJ
ap-7150	201	11	figure	figure	VERB
ap-7150	201	12	5	5	NUM
ap-7150	201	13	show	show	VERB
ap-7150	201	14	the	the	DET
ap-7150	201	15	change	change	NOUN
ap-7150	201	16	in	in	ADP
ap-7150	201	17	the	the	DET
ap-7150	201	18	flow	flow	NOUN
ap-7150	201	19	topology	topology	NOUN
ap-7150	201	20	in	in	ADP
ap-7150	201	21	a	a	DET
ap-7150	201	22	semi	semi	ADJ
ap-7150	201	23	-	-	ADJ
ap-7150	201	24	circular	circular	ADJ
ap-7150	201	25	cavity	cavity	NOUN
ap-7150	201	26	as	as	SCONJ
ap-7150	201	27	the	the	DET
ap-7150	201	28	reynolds	reynolds	PROPN
ap-7150	201	29	number	number	NOUN
ap-7150	201	30	increases	increase	VERB
ap-7150	201	31	.	.	PUNCT
ap-7150	202	1	from	from	ADP
ap-7150	202	2	figure	figure	NOUN
ap-7150	202	3	4	4	NUM
ap-7150	202	4	and	and	CCONJ
ap-7150	202	5	figure	figure	VERB
ap-7150	202	6	5	5	NUM
ap-7150	202	7	,	,	PUNCT
ap-7150	202	8	we	we	PRON
ap-7150	202	9	can	can	AUX
ap-7150	202	10	see	see	VERB
ap-7150	202	11	that	that	PRON
ap-7150	202	12	between	between	ADP
ap-7150	202	13	re	re	NOUN
ap-7150	202	14	=	=	NOUN
ap-7150	202	15	500	500	NUM
ap-7150	202	16	and	and	CCONJ
ap-7150	202	17	re	re	ADP
ap-7150	202	18	=	=	NOUN
ap-7150	202	19	1000	1000	NUM
ap-7150	202	20	and	and	CCONJ
ap-7150	202	21	re	re	ADP
ap-7150	202	22	=	=	NOUN
ap-7150	202	23	4000	4000	NUM
ap-7150	202	24	and	and	CCONJ
ap-7150	202	25	re	re	NOUN
ap-7150	202	26	=	=	NOUN
ap-7150	202	27	5000	5000	NUM
ap-7150	202	28	,	,	PUNCT
ap-7150	202	29	a	a	DET
ap-7150	202	30	secondary	secondary	ADJ
ap-7150	202	31	and	and	CCONJ
ap-7150	202	32	a	a	DET
ap-7150	202	33	tertiary	tertiary	ADJ
ap-7150	202	34	vortex	vortex	NOUN
ap-7150	202	35	,	,	PUNCT
ap-7150	202	36	respectively	respectively	ADV
ap-7150	202	37	,	,	PUNCT
ap-7150	202	38	appear	appear	VERB
ap-7150	202	39	in	in	ADP
ap-7150	202	40	the	the	DET
ap-7150	202	41	flow	flow	NOUN
ap-7150	202	42	field	field	NOUN
ap-7150	202	43	.	.	PUNCT
ap-7150	203	1	we	we	PRON
ap-7150	203	2	can	can	AUX
ap-7150	203	3	also	also	ADV
ap-7150	203	4	see	see	VERB
ap-7150	203	5	that	that	SCONJ
ap-7150	203	6	as	as	SCONJ
ap-7150	203	7	the	the	DET
ap-7150	203	8	reynolds	reynolds	PROPN
ap-7150	203	9	number	number	NOUN
ap-7150	203	10	increases	increase	VERB
ap-7150	203	11	,	,	PUNCT
ap-7150	203	12	the	the	DET
ap-7150	203	13	size	size	NOUN
ap-7150	203	14	of	of	ADP
ap-7150	203	15	both	both	CCONJ
ap-7150	203	16	the	the	DET
ap-7150	203	17	secondary	secondary	ADJ
ap-7150	203	18	and	and	CCONJ
ap-7150	203	19	the	the	DET
ap-7150	203	20	tertiary	tertiary	ADJ
ap-7150	203	21	vortex	vortex	NOUN
ap-7150	203	22	increases	increase	NOUN
ap-7150	203	23	where	where	SCONJ
ap-7150	203	24	as	as	SCONJ
ap-7150	203	25	the	the	DET
ap-7150	203	26	size	size	NOUN
ap-7150	203	27	of	of	ADP
ap-7150	203	28	the	the	DET
ap-7150	203	29	primary	primary	ADJ
ap-7150	203	30	vortex	vortex	NOUN
ap-7150	203	31	decreases	decrease	VERB
ap-7150	203	32	.	.	PUNCT
ap-7150	204	1	glowinski	glowinski	VERB
ap-7150	204	2	et	et	PROPN
ap-7150	204	3	al	al	PROPN
ap-7150	204	4	.	.	PUNCT
ap-7150	205	1	[	[	X
ap-7150	205	2	10	10	NUM
ap-7150	205	3	]	]	PUNCT
ap-7150	205	4	,	,	PUNCT
ap-7150	205	5	yang	yang	PROPN
ap-7150	205	6	et	et	PROPN
ap-7150	205	7	al	al	PROPN
ap-7150	205	8	.	.	PUNCT
ap-7150	206	1	[	[	X
ap-7150	206	2	12	12	NUM
ap-7150	206	3	]	]	PUNCT
ap-7150	206	4	,	,	PUNCT
ap-7150	206	5	yu	yu	PROPN
ap-7150	206	6	et	et	PROPN
ap-7150	206	7	al	al	PROPN
ap-7150	206	8	.	.	PUNCT
ap-7150	207	1	[	[	X
ap-7150	207	2	14	14	NUM
ap-7150	207	3	]	]	PUNCT
ap-7150	207	4	and	and	CCONJ
ap-7150	207	5	mercan	mercan	PROPN
ap-7150	207	6	et	et	PROPN
ap-7150	207	7	al	al	PROPN
ap-7150	207	8	.	.	PUNCT
ap-7150	208	1	[	[	X
ap-7150	208	2	15	15	NUM
ap-7150	208	3	]	]	PUNCT
ap-7150	208	4	have	have	AUX
ap-7150	208	5	presented	present	VERB
ap-7150	208	6	detailed	detailed	ADJ
ap-7150	208	7	data	datum	NOUN
ap-7150	208	8	from	from	ADP
ap-7150	208	9	the	the	DET
ap-7150	208	10	flow	flow	NOUN
ap-7150	208	11	field	field	NOUN
ap-7150	208	12	.	.	PUNCT
ap-7150	209	1	in	in	ADP
ap-7150	209	2	table	table	NOUN
ap-7150	209	3	1	1	NUM
ap-7150	209	4	we	we	PRON
ap-7150	209	5	compare	compare	VERB
ap-7150	209	6	the	the	DET
ap-7150	209	7	present	present	ADJ
ap-7150	209	8	results	result	NOUN
ap-7150	209	9	of	of	ADP
ap-7150	209	10	the	the	DET
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ap-7150	209	12	streamfunction	streamfunction	NOUN
ap-7150	209	13	value	value	NOUN
ap-7150	209	14	and	and	CCONJ
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ap-7150	209	17	in	in	ADP
ap-7150	209	18	the	the	DET
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ap-7150	209	20	-	-	ADJ
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ap-7150	209	22	cavity	cavity	NOUN
ap-7150	209	23	geometry	geometry	NOUN
ap-7150	209	24	with	with	ADP
ap-7150	209	25	the	the	DET
ap-7150	209	26	results	result	NOUN
ap-7150	209	27	presented	present	VERB
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ap-7150	209	29	[	[	X
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ap-7150	209	36	15	15	NUM
ap-7150	209	37	]	]	PUNCT
ap-7150	209	38	.	.	PUNCT
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ap-7150	210	2	their	their	PRON
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ap-7150	210	4	,	,	PUNCT
ap-7150	210	5	glowinski	glowinski	VERB
ap-7150	210	6	et	et	PROPN
ap-7150	210	7	al	al	PROPN
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ap-7150	211	1	[	[	X
ap-7150	211	2	10	10	NUM
ap-7150	211	3	]	]	PUNCT
ap-7150	211	4	also	also	ADV
ap-7150	211	5	presented	present	VERB
ap-7150	211	6	the	the	DET
ap-7150	211	7	detachment	detachment	NOUN
ap-7150	211	8	angles	angle	NOUN
ap-7150	211	9	of	of	ADP
ap-7150	211	10	the	the	DET
ap-7150	211	11	secondary	secondary	ADJ
ap-7150	211	12	and	and	CCONJ
ap-7150	211	13	tertiary	tertiary	ADJ
ap-7150	211	14	vortex	vortex	NOUN
ap-7150	211	15	measured	measure	VERB
ap-7150	211	16	counterclockwise	counterclockwise	NOUN
ap-7150	211	17	from	from	ADP
ap-7150	211	18	the	the	DET
ap-7150	211	19	top	top	ADJ
ap-7150	211	20	lid	lid	NOUN
ap-7150	211	21	as	as	SCONJ
ap-7150	211	22	shown	show	VERB
ap-7150	211	23	in	in	ADP
ap-7150	211	24	figure	figure	NOUN
ap-7150	211	25	1	1	NUM
ap-7150	211	26	.	.	PUNCT
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ap-7150	212	2	the	the	DET
ap-7150	212	3	wall	wall	PROPN
ap-7150	212	4	boundary	boundary	PROPN
ap-7150	212	5	,	,	PUNCT
ap-7150	212	6	the	the	DET
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ap-7150	212	8	-	-	PUNCT
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ap-7150	212	10	coefficient	coefficient	NOUN
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ap-7150	212	12	re	re	AUX
ap-7150	212	13	θbegin	θbegin	VERB
ap-7150	212	14	sv	sv	PROPN
ap-7150	212	15	θend	θend	PROPN
ap-7150	212	16	sv	sv	AUX
ap-7150	212	17	θbegin	θbegin	PROPN
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ap-7150	212	19	v	v	NOUN
ap-7150	212	20	θend	θend	VERB
ap-7150	212	21	t	t	PROPN
ap-7150	212	22	v	v	ADP
ap-7150	212	23	present	present	ADJ
ap-7150	212	24	study	study	NOUN
ap-7150	212	25	1000	1000	NUM
ap-7150	212	26	20.83	20.83	NUM
ap-7150	212	27	74.83	74.83	NUM
ap-7150	212	28	2000	2000	NUM
ap-7150	212	29	10.87	10.87	NUM
ap-7150	212	30	97.01	97.01	NUM
ap-7150	212	31	3000	3000	NUM
ap-7150	212	32	8.38	8.38	NUM
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ap-7150	212	34	5000	5000	NUM
ap-7150	212	35	6.39	6.39	NUM
ap-7150	212	36	121.23	121.23	NUM
ap-7150	212	37	59.12	59.12	NUM
ap-7150	212	38	76.44	76.44	NUM
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ap-7150	212	40	et	et	PROPN
ap-7150	212	41	al	al	PROPN
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ap-7150	213	1	[	[	X
ap-7150	213	2	10	10	NUM
ap-7150	213	3	]	]	PUNCT
ap-7150	213	4	1000	1000	NUM
ap-7150	213	5	21.42	21.42	NUM
ap-7150	213	6	71.49	71.49	NUM
ap-7150	213	7	2000	2000	NUM
ap-7150	213	8	10.78	10.78	NUM
ap-7150	213	9	94.34	94.34	NUM
ap-7150	213	10	3000	3000	NUM
ap-7150	213	11	7.77	7.77	NUM
ap-7150	213	12	104.53	104.53	NUM
ap-7150	213	13	5000	5000	NUM
ap-7150	213	14	6.70	6.70	NUM
ap-7150	213	15	117.09	117.09	NUM
ap-7150	213	16	57.54	57.54	NUM
ap-7150	213	17	73.84	73.84	NUM
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ap-7150	213	19	2	2	NUM
ap-7150	213	20	.	.	PUNCT
ap-7150	213	21	comparison	comparison	NOUN
ap-7150	213	22	of	of	ADP
ap-7150	213	23	the	the	DET
ap-7150	213	24	detachment	detachment	NOUN
ap-7150	213	25	angles	angle	NOUN
ap-7150	213	26	of	of	ADP
ap-7150	213	27	the	the	DET
ap-7150	213	28	secondary	secondary	ADJ
ap-7150	213	29	and	and	CCONJ
ap-7150	213	30	tertiary	tertiary	ADJ
ap-7150	213	31	vortex	vortex	NOUN
ap-7150	213	32	.	.	PUNCT
ap-7150	214	1	521	521	NUM
ap-7150	214	2	ercan	ercan	PROPN
ap-7150	214	3	erturk	erturk	PROPN
ap-7150	214	4	acta	acta	PROPN
ap-7150	214	5	polytechnica	polytechnica	PROPN
ap-7150	214	6	re	re	PROPN
ap-7150	214	7	y	y	PROPN
ap-7150	214	8	500	500	NUM
ap-7150	214	9	1000	1000	NUM
ap-7150	214	10	2000	2000	NUM
ap-7150	214	11	3000	3000	NUM
ap-7150	214	12	4000	4000	NUM
ap-7150	214	13	5000	5000	NUM
ap-7150	214	14	6600	6600	NUM
ap-7150	214	15	8000	8000	NUM
ap-7150	214	16	10000	10000	NUM
ap-7150	214	17	15000	15000	NUM
ap-7150	214	18	20000	20000	NUM
ap-7150	214	19	24000	24000	NUM
ap-7150	214	20	0	0	NUM
ap-7150	214	21	1	1	NUM
ap-7150	214	22	1	1	NUM
ap-7150	214	23	1	1	NUM
ap-7150	214	24	1	1	NUM
ap-7150	214	25	1	1	NUM
ap-7150	214	26	1	1	NUM
ap-7150	214	27	1	1	NUM
ap-7150	214	28	1	1	NUM
ap-7150	214	29	1	1	NUM
ap-7150	214	30	1	1	NUM
ap-7150	214	31	1	1	NUM
ap-7150	214	32	1	1	NUM
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ap-7150	214	34	0.6094	0.6094	NUM
ap-7150	214	35	0.5398	0.5398	NUM
ap-7150	214	36	0.4523	0.4523	NUM
ap-7150	214	37	0.3901	0.3901	NUM
ap-7150	214	38	0.3166	0.3166	NUM
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ap-7150	215	4	0.3531	0.3531	NUM
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ap-7150	215	7	0.1075	0.1075	NUM
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ap-7150	215	10	-0.0828	-0.0828	PROPN
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ap-7150	216	19	0.1299	0.1299	NUM
ap-7150	216	20	0.0998	0.0998	NUM
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ap-7150	216	22	0.0247	0.0247	NUM
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ap-7150	217	2	0.0955	0.0955	NUM
ap-7150	217	3	0.0712	0.0712	NUM
ap-7150	217	4	0.0453	0.0453	NUM
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ap-7150	226	4	0.0915	0.0915	NUM
ap-7150	226	5	0.0884	0.0884	NUM
ap-7150	226	6	-0.3667	-0.3667	NOUN
ap-7150	226	7	-0.3433	-0.3433	PROPN
ap-7150	226	8	-0.4120	-0.4120	PROPN
ap-7150	227	1	-0.4148	-0.4148	PROPN
ap-7150	227	2	-0.3813	-0.3813	PROPN
ap-7150	228	1	-0.2693	-0.2693	PROPN
ap-7150	228	2	-0.1121	-0.1121	PROPN
ap-7150	229	1	0.0095	0.0095	NUM
ap-7150	229	2	0.0256	0.0256	NUM
ap-7150	229	3	0.0256	0.0256	NUM
ap-7150	229	4	0.0744	0.0744	NUM
ap-7150	229	5	0.1134	0.1134	NUM
ap-7150	229	6	0.1144	0.1144	NUM
ap-7150	229	7	-0.4	-0.4	NUM
ap-7150	229	8	-0.2785	-0.2785	PROPN
ap-7150	229	9	-0.3593	-0.3593	PROPN
ap-7150	229	10	-0.3556	-0.3556	PUNCT
ap-7150	229	11	-0.2464	-0.2464	PROPN
ap-7150	229	12	-0.0963	-0.0963	PROPN
ap-7150	229	13	-0.0101	-0.0101	PUNCT
ap-7150	230	1	0.0250	0.0250	NUM
ap-7150	230	2	0.0167	0.0167	NUM
ap-7150	230	3	0.0084	0.0084	NUM
ap-7150	230	4	0.0287	0.0287	NUM
ap-7150	230	5	0.0827	0.0827	NUM
ap-7150	230	6	0.1189	0.1189	NUM
ap-7150	230	7	-0.4333	-0.4333	NOUN
ap-7150	230	8	-0.1811	-0.1811	NOUN
ap-7150	230	9	-0.2253	-0.2253	PROPN
ap-7150	231	1	-0.1768	-0.1768	PROPN
ap-7150	231	2	-0.0668	-0.0668	VERB
ap-7150	231	3	0.0027	0.0027	NUM
ap-7150	231	4	0.0228	0.0228	NUM
ap-7150	231	5	0.0182	0.0182	NUM
ap-7150	231	6	0.0039	0.0039	NUM
ap-7150	231	7	-0.0038	-0.0038	NOUN
ap-7150	231	8	0.0000	0.0000	NUM
ap-7150	231	9	0.0160	0.0160	NUM
ap-7150	231	10	0.0384	0.0384	NUM
ap-7150	231	11	-0.4667	-0.4667	X
ap-7150	231	12	-0.0809	-0.0809	PUNCT
ap-7150	231	13	-0.0836	-0.0836	PROPN
ap-7150	232	1	-0.0309	-0.0309	NOUN
ap-7150	233	1	0.0122	0.0122	NUM
ap-7150	233	2	0.0238	0.0238	NUM
ap-7150	233	3	0.0225	0.0225	NUM
ap-7150	233	4	0.0072	0.0072	NUM
ap-7150	233	5	-0.0055	-0.0055	NOUN
ap-7150	233	6	-0.0087	-0.0087	NOUN
ap-7150	233	7	-0.0058	-0.0058	PROPN
ap-7150	233	8	-0.0060	-0.0060	NOUN
ap-7150	233	9	-0.0046	-0.0046	PUNCT
ap-7150	234	1	-0.5	-0.5	X
ap-7150	234	2	0	0	NUM
ap-7150	234	3	0	0	NUM
ap-7150	234	4	0	0	NUM
ap-7150	234	5	0	0	NUM
ap-7150	234	6	0	0	NUM
ap-7150	234	7	0	0	NUM
ap-7150	234	8	0	0	NUM
ap-7150	234	9	0	0	NUM
ap-7150	234	10	0	0	NUM
ap-7150	234	11	0	0	NUM
ap-7150	234	12	0	0	NUM
ap-7150	234	13	0	0	NUM
ap-7150	234	14	table	table	NOUN
ap-7150	234	15	3	3	NUM
ap-7150	234	16	.	.	NUM
ap-7150	234	17	selected	select	VERB
ap-7150	234	18	u	u	NOUN
ap-7150	234	19	-	-	NOUN
ap-7150	234	20	velocity	velocity	ADJ
ap-7150	234	21	values	value	NOUN
ap-7150	234	22	along	along	ADP
ap-7150	234	23	x	x	X
ap-7150	234	24	=	=	SYM
ap-7150	234	25	0	0	NUM
ap-7150	234	26	line	line	NOUN
ap-7150	234	27	.	.	PUNCT
ap-7150	235	1	defined	define	VERB
ap-7150	235	2	as	as	ADP
ap-7150	235	3	cf	cf	NOUN
ap-7150	235	4	=	=	PUNCT
ap-7150	235	5	τw	τw	NOUN
ap-7150	235	6	ρu2	ρu2	X
ap-7150	235	7	(	(	PUNCT
ap-7150	235	8	25	25	NUM
ap-7150	235	9	)	)	PUNCT
ap-7150	235	10	where	where	SCONJ
ap-7150	235	11	τw	τw	NOUN
ap-7150	235	12	=	=	PUNCT
ap-7150	235	13	µ∂u∂y	µ∂u∂y	NOUN
ap-7150	235	14	∣∣∣	∣∣∣	NOUN
ap-7150	235	15	w	w	NOUN
ap-7150	235	16	.	.	PUNCT
ap-7150	236	1	at	at	ADP
ap-7150	236	2	the	the	DET
ap-7150	236	3	detachment	detachment	NOUN
ap-7150	236	4	points	point	NOUN
ap-7150	236	5	on	on	ADP
ap-7150	236	6	the	the	DET
ap-7150	236	7	wall	wall	NOUN
ap-7150	236	8	,	,	PUNCT
ap-7150	236	9	the	the	DET
ap-7150	236	10	skin	skin	NOUN
ap-7150	236	11	-	-	PUNCT
ap-7150	236	12	friction	friction	NOUN
ap-7150	236	13	coefficient	coefficient	NOUN
ap-7150	236	14	will	will	AUX
ap-7150	236	15	be	be	AUX
ap-7150	236	16	zero	zero	NUM
ap-7150	236	17	.	.	PUNCT
ap-7150	237	1	in	in	ADP
ap-7150	237	2	our	our	PRON
ap-7150	237	3	study	study	NOUN
ap-7150	237	4	,	,	PUNCT
ap-7150	237	5	by	by	ADP
ap-7150	237	6	calculating	calculate	VERB
ap-7150	237	7	the	the	DET
ap-7150	237	8	skin	skin	NOUN
ap-7150	237	9	-	-	PUNCT
ap-7150	237	10	friction	friction	NOUN
ap-7150	237	11	coefficient	coefficient	NOUN
ap-7150	237	12	,	,	PUNCT
ap-7150	237	13	we	we	PRON
ap-7150	237	14	have	have	AUX
ap-7150	237	15	located	locate	VERB
ap-7150	237	16	the	the	DET
ap-7150	237	17	detachment	detachment	NOUN
ap-7150	237	18	points	point	NOUN
ap-7150	237	19	in	in	ADP
ap-7150	237	20	the	the	DET
ap-7150	237	21	lower	low	ADJ
ap-7150	237	22	circular	circular	ADJ
ap-7150	237	23	wall	wall	NOUN
ap-7150	237	24	of	of	ADP
ap-7150	237	25	the	the	DET
ap-7150	237	26	semi	semi	ADJ
ap-7150	237	27	-	-	ADJ
ap-7150	237	28	circular	circular	ADJ
ap-7150	237	29	cavity	cavity	NOUN
ap-7150	237	30	.	.	PUNCT
ap-7150	238	1	in	in	ADP
ap-7150	238	2	table	table	NOUN
ap-7150	238	3	2	2	NUM
ap-7150	238	4	,	,	PUNCT
ap-7150	238	5	we	we	PRON
ap-7150	238	6	compare	compare	VERB
ap-7150	238	7	our	our	PRON
ap-7150	238	8	results	result	NOUN
ap-7150	238	9	of	of	ADP
ap-7150	238	10	the	the	DET
ap-7150	238	11	detachment	detachment	NOUN
ap-7150	238	12	angles	angle	NOUN
ap-7150	238	13	of	of	ADP
ap-7150	238	14	the	the	DET
ap-7150	238	15	secondary	secondary	ADJ
ap-7150	238	16	and	and	CCONJ
ap-7150	238	17	tertiary	tertiary	ADJ
ap-7150	238	18	vortex	vortex	NOUN
ap-7150	238	19	with	with	ADP
ap-7150	238	20	the	the	DET
ap-7150	238	21	results	result	NOUN
ap-7150	238	22	of	of	ADP
ap-7150	238	23	glowinski	glowinski	NOUN
ap-7150	238	24	et	et	PROPN
ap-7150	238	25	al	al	PROPN
ap-7150	238	26	.	.	PUNCT
ap-7150	239	1	[	[	X
ap-7150	239	2	10	10	NUM
ap-7150	239	3	]	]	PUNCT
ap-7150	239	4	.	.	PUNCT
ap-7150	240	1	present	present	ADJ
ap-7150	240	2	results	result	NOUN
ap-7150	240	3	in	in	ADP
ap-7150	240	4	table	table	NOUN
ap-7150	240	5	1	1	NUM
ap-7150	240	6	and	and	CCONJ
ap-7150	240	7	table	table	NOUN
ap-7150	240	8	2	2	NUM
ap-7150	240	9	are	be	AUX
ap-7150	240	10	in	in	ADP
ap-7150	240	11	good	good	ADJ
ap-7150	240	12	agreement	agreement	NOUN
ap-7150	240	13	with	with	ADP
ap-7150	240	14	the	the	DET
ap-7150	240	15	results	result	NOUN
ap-7150	240	16	of	of	ADP
ap-7150	240	17	glowinski	glowinski	NOUN
ap-7150	240	18	et	et	PROPN
ap-7150	240	19	al	al	PROPN
ap-7150	240	20	.	.	PUNCT
ap-7150	241	1	[	[	X
ap-7150	241	2	10	10	NUM
ap-7150	241	3	]	]	PUNCT
ap-7150	241	4	,	,	PUNCT
ap-7150	241	5	yang	yang	PROPN
ap-7150	241	6	et	et	PROPN
ap-7150	241	7	al	al	PROPN
ap-7150	241	8	.	.	PUNCT
ap-7150	242	1	[	[	X
ap-7150	242	2	12	12	NUM
ap-7150	242	3	]	]	PUNCT
ap-7150	242	4	,	,	PUNCT
ap-7150	242	5	yu	yu	PROPN
ap-7150	242	6	et	et	PROPN
ap-7150	242	7	al	al	PROPN
ap-7150	242	8	.	.	PUNCT
ap-7150	243	1	[	[	X
ap-7150	243	2	14	14	NUM
ap-7150	243	3	]	]	PUNCT
ap-7150	243	4	and	and	CCONJ
ap-7150	243	5	mercan	mercan	PROPN
ap-7150	243	6	et	et	PROPN
ap-7150	243	7	al	al	PROPN
ap-7150	243	8	.	.	PUNCT
ap-7150	244	1	[	[	X
ap-7150	244	2	15	15	NUM
ap-7150	244	3	]	]	PUNCT
ap-7150	244	4	.	.	PUNCT
ap-7150	245	1	in	in	ADP
ap-7150	245	2	figure	figure	NOUN
ap-7150	245	3	6	6	NUM
ap-7150	245	4	,	,	PUNCT
ap-7150	245	5	we	we	PRON
ap-7150	245	6	plot	plot	VERB
ap-7150	245	7	the	the	DET
ap-7150	245	8	computed	computed	ADJ
ap-7150	245	9	u	u	ADJ
ap-7150	245	10	-	-	NOUN
ap-7150	245	11	velocity	velocity	ADJ
ap-7150	245	12	profiles	profile	NOUN
ap-7150	245	13	along	along	ADP
ap-7150	245	14	the	the	DET
ap-7150	245	15	vertical	vertical	ADJ
ap-7150	245	16	line	line	NOUN
ap-7150	245	17	at	at	ADP
ap-7150	245	18	the	the	DET
ap-7150	245	19	mid	mid	NOUN
ap-7150	245	20	of	of	ADP
ap-7150	245	21	the	the	DET
ap-7150	245	22	semi	semi	ADJ
ap-7150	245	23	-	-	ADJ
ap-7150	245	24	circular	circular	ADJ
ap-7150	245	25	cavity	cavity	NOUN
ap-7150	245	26	,	,	PUNCT
ap-7150	245	27	i.e.	i.e.	X
ap-7150	245	28	,	,	PUNCT
ap-7150	245	29	at	at	ADP
ap-7150	245	30	x	x	X
ap-7150	245	31	=	=	SYM
ap-7150	245	32	0	0	NUM
ap-7150	245	33	line	line	NOUN
ap-7150	245	34	,	,	PUNCT
ap-7150	245	35	at	at	ADP
ap-7150	245	36	various	various	ADJ
ap-7150	245	37	reynolds	reynold	NOUN
ap-7150	245	38	numbers	number	NOUN
ap-7150	245	39	.	.	PUNCT
ap-7150	246	1	in	in	ADP
ap-7150	246	2	the	the	DET
ap-7150	246	3	same	same	ADJ
ap-7150	246	4	figure	figure	NOUN
ap-7150	246	5	,	,	PUNCT
ap-7150	246	6	the	the	DET
ap-7150	246	7	velocity	velocity	NOUN
ap-7150	246	8	profiles	profile	NOUN
ap-7150	246	9	of	of	ADP
ap-7150	246	10	glowinski	glowinski	NOUN
ap-7150	246	11	et	et	PROPN
ap-7150	246	12	al	al	PROPN
ap-7150	246	13	.	.	PUNCT
ap-7150	247	1	[	[	X
ap-7150	247	2	10	10	NUM
ap-7150	247	3	]	]	PUNCT
ap-7150	247	4	and	and	CCONJ
ap-7150	247	5	ding	ding	NOUN
ap-7150	247	6	et	et	PROPN
ap-7150	247	7	al	al	PROPN
ap-7150	247	8	.	.	PUNCT
ap-7150	248	1	[	[	X
ap-7150	248	2	13	13	NUM
ap-7150	248	3	]	]	PUNCT
ap-7150	248	4	are	be	AUX
ap-7150	248	5	also	also	ADV
ap-7150	248	6	given	give	VERB
ap-7150	248	7	with	with	ADP
ap-7150	248	8	red	red	ADJ
ap-7150	248	9	and	and	CCONJ
ap-7150	248	10	green	green	ADJ
ap-7150	248	11	symbols	symbol	NOUN
ap-7150	248	12	,	,	PUNCT
ap-7150	248	13	respectively	respectively	ADV
ap-7150	248	14	.	.	PUNCT
ap-7150	249	1	as	as	SCONJ
ap-7150	249	2	seen	see	VERB
ap-7150	249	3	in	in	ADP
ap-7150	249	4	figure	figure	NOUN
ap-7150	249	5	6	6	NUM
ap-7150	249	6	,	,	PUNCT
ap-7150	249	7	at	at	ADP
ap-7150	249	8	low	low	ADJ
ap-7150	249	9	reynolds	reynold	NOUN
ap-7150	249	10	numbers	number	NOUN
ap-7150	249	11	,	,	PUNCT
ap-7150	249	12	our	our	PRON
ap-7150	249	13	computed	compute	VERB
ap-7150	249	14	u	u	NOUN
ap-7150	249	15	-	-	ADJ
ap-7150	249	16	velocity	velocity	ADJ
ap-7150	249	17	profiles	profile	NOUN
ap-7150	249	18	are	be	AUX
ap-7150	249	19	in	in	ADP
ap-7150	249	20	good	good	ADJ
ap-7150	249	21	agreement	agreement	NOUN
ap-7150	249	22	with	with	ADP
ap-7150	249	23	the	the	DET
ap-7150	249	24	u	u	NOUN
ap-7150	249	25	-	-	NOUN
ap-7150	249	26	velocity	velocity	ADJ
ap-7150	249	27	profiles	profile	NOUN
ap-7150	249	28	of	of	ADP
ap-7150	249	29	glowinski	glowinski	NOUN
ap-7150	249	30	et	et	PROPN
ap-7150	249	31	al	al	PROPN
ap-7150	249	32	.	.	PUNCT
ap-7150	250	1	[	[	X
ap-7150	250	2	10	10	NUM
ap-7150	250	3	]	]	PUNCT
ap-7150	250	4	and	and	CCONJ
ap-7150	250	5	ding	ding	NOUN
ap-7150	250	6	et	et	PROPN
ap-7150	250	7	al	al	PROPN
ap-7150	250	8	.	.	PUNCT
ap-7150	251	1	[	[	X
ap-7150	251	2	13	13	NUM
ap-7150	251	3	]	]	PUNCT
ap-7150	251	4	,	,	PUNCT
ap-7150	251	5	where	where	SCONJ
ap-7150	251	6	as	as	SCONJ
ap-7150	251	7	at	at	ADP
ap-7150	251	8	large	large	ADJ
ap-7150	251	9	reynolds	reynold	NOUN
ap-7150	251	10	numbers	number	NOUN
ap-7150	251	11	,	,	PUNCT
ap-7150	251	12	our	our	PRON
ap-7150	251	13	velocity	velocity	NOUN
ap-7150	251	14	profiles	profile	NOUN
ap-7150	251	15	deviate	deviate	VERB
ap-7150	251	16	from	from	ADP
ap-7150	251	17	those	those	PRON
ap-7150	251	18	of	of	ADP
ap-7150	251	19	glowinski	glowinski	NOUN
ap-7150	251	20	et	et	PROPN
ap-7150	251	21	al	al	PROPN
ap-7150	251	22	.	.	PUNCT
ap-7150	252	1	[	[	X
ap-7150	252	2	10	10	NUM
ap-7150	252	3	]	]	PUNCT
ap-7150	252	4	and	and	CCONJ
ap-7150	252	5	ding	ding	NOUN
ap-7150	252	6	et	et	PROPN
ap-7150	252	7	al	al	PROPN
ap-7150	252	8	.	.	PUNCT
ap-7150	253	1	[	[	X
ap-7150	253	2	13	13	NUM
ap-7150	253	3	]	]	PUNCT
ap-7150	253	4	.	.	PUNCT
ap-7150	254	1	we	we	PRON
ap-7150	254	2	believe	believe	VERB
ap-7150	254	3	that	that	SCONJ
ap-7150	254	4	due	due	ADP
ap-7150	254	5	to	to	ADP
ap-7150	254	6	the	the	DET
ap-7150	254	7	fine	fine	ADJ
ap-7150	254	8	mesh	mesh	NOUN
ap-7150	254	9	used	use	VERB
ap-7150	254	10	in	in	ADP
ap-7150	254	11	the	the	DET
ap-7150	254	12	present	present	ADJ
ap-7150	254	13	study	study	NOUN
ap-7150	254	14	,	,	PUNCT
ap-7150	254	15	our	our	PRON
ap-7150	254	16	results	result	NOUN
ap-7150	254	17	are	be	AUX
ap-7150	254	18	more	more	ADV
ap-7150	254	19	accurate	accurate	ADJ
ap-7150	254	20	.	.	PUNCT
ap-7150	255	1	in	in	ADP
ap-7150	255	2	table	table	NOUN
ap-7150	255	3	3	3	NUM
ap-7150	255	4	,	,	PUNCT
ap-7150	255	5	we	we	PRON
ap-7150	255	6	tabulate	tabulate	VERB
ap-7150	255	7	selected	select	VERB
ap-7150	255	8	values	value	NOUN
ap-7150	255	9	of	of	ADP
ap-7150	255	10	the	the	DET
ap-7150	255	11	u	u	NOUN
ap-7150	255	12	-	-	NOUN
ap-7150	255	13	velocity	velocity	NOUN
ap-7150	255	14	values	value	NOUN
ap-7150	255	15	along	along	ADP
ap-7150	255	16	x	x	X
ap-7150	255	17	=	=	SYM
ap-7150	255	18	0	0	NUM
ap-7150	255	19	line	line	NOUN
ap-7150	255	20	at	at	ADP
ap-7150	255	21	various	various	ADJ
ap-7150	255	22	reynolds	reynold	NOUN
ap-7150	255	23	numbers	number	NOUN
ap-7150	255	24	for	for	ADP
ap-7150	255	25	future	future	ADJ
ap-7150	255	26	references	reference	NOUN
ap-7150	255	27	.	.	PUNCT
ap-7150	256	1	in	in	ADP
ap-7150	256	2	table	table	NOUN
ap-7150	256	3	4	4	NUM
ap-7150	256	4	and	and	CCONJ
ap-7150	256	5	table	table	NOUN
ap-7150	256	6	5	5	NUM
ap-7150	256	7	,	,	PUNCT
ap-7150	256	8	we	we	PRON
ap-7150	256	9	present	present	VERB
ap-7150	256	10	the	the	DET
ap-7150	256	11	streamfunction	streamfunction	NOUN
ap-7150	256	12	and	and	CCONJ
ap-7150	256	13	vorticity	vorticity	NOUN
ap-7150	256	14	values	value	NOUN
ap-7150	256	15	at	at	ADP
ap-7150	256	16	the	the	DET
ap-7150	256	17	centres	centre	NOUN
ap-7150	256	18	of	of	ADP
ap-7150	256	19	the	the	DET
ap-7150	256	20	vortices	vortex	NOUN
ap-7150	256	21	together	together	ADV
ap-7150	256	22	with	with	ADP
ap-7150	256	23	the	the	DET
ap-7150	256	24	centre	centre	NOUN
ap-7150	256	25	locations	location	NOUN
ap-7150	256	26	and	and	CCONJ
ap-7150	256	27	also	also	ADV
ap-7150	256	28	the	the	DET
ap-7150	256	29	detachment	detachment	NOUN
ap-7150	256	30	angles	angle	NOUN
ap-7150	256	31	of	of	ADP
ap-7150	256	32	the	the	DET
ap-7150	256	33	secondary	secondary	ADJ
ap-7150	256	34	and	and	CCONJ
ap-7150	256	35	tertiary	tertiary	ADJ
ap-7150	256	36	vortex	vortex	NOUN
ap-7150	256	37	,	,	PUNCT
ap-7150	256	38	respectively	respectively	ADV
ap-7150	256	39	,	,	PUNCT
ap-7150	256	40	for	for	ADP
ap-7150	256	41	all	all	DET
ap-7150	256	42	the	the	DET
ap-7150	256	43	reynolds	reynolds	PROPN
ap-7150	256	44	numbers	number	NOUN
ap-7150	256	45	considered	consider	VERB
ap-7150	256	46	in	in	ADP
ap-7150	256	47	this	this	DET
ap-7150	256	48	study	study	NOUN
ap-7150	256	49	for	for	ADP
ap-7150	256	50	benchmark	benchmark	NOUN
ap-7150	256	51	purposes	purpose	NOUN
ap-7150	256	52	.	.	PUNCT
ap-7150	257	1	in	in	ADP
ap-7150	257	2	order	order	NOUN
ap-7150	257	3	to	to	PART
ap-7150	257	4	see	see	VERB
ap-7150	257	5	the	the	DET
ap-7150	257	6	behaviour	behaviour	NOUN
ap-7150	257	7	of	of	ADP
ap-7150	257	8	the	the	DET
ap-7150	257	9	detachment	detachment	NOUN
ap-7150	257	10	points	point	NOUN
ap-7150	257	11	better	well	ADV
ap-7150	257	12	,	,	PUNCT
ap-7150	257	13	in	in	ADP
ap-7150	257	14	figure	figure	NOUN
ap-7150	257	15	7	7	NUM
ap-7150	257	16	,	,	PUNCT
ap-7150	257	17	we	we	PRON
ap-7150	257	18	plot	plot	VERB
ap-7150	257	19	the	the	DET
ap-7150	257	20	detachment	detachment	NOUN
ap-7150	257	21	angles	angle	NOUN
ap-7150	257	22	given	give	VERB
ap-7150	257	23	in	in	ADP
ap-7150	257	24	table	table	NOUN
ap-7150	257	25	4	4	NUM
ap-7150	257	26	as	as	ADP
ap-7150	257	27	a	a	DET
ap-7150	257	28	function	function	NOUN
ap-7150	257	29	of	of	ADP
ap-7150	257	30	the	the	DET
ap-7150	257	31	reynolds	reynolds	PROPN
ap-7150	257	32	number	number	PROPN
ap-7150	257	33	.	.	PUNCT
ap-7150	258	1	from	from	ADP
ap-7150	258	2	figure	figure	NOUN
ap-7150	258	3	7	7	NUM
ap-7150	258	4	,	,	PUNCT
ap-7150	258	5	we	we	PRON
ap-7150	258	6	can	can	AUX
ap-7150	258	7	see	see	VERB
ap-7150	258	8	that	that	PRON
ap-7150	258	9	while	while	SCONJ
ap-7150	258	10	θbeginsv	θbeginsv	PROPN
ap-7150	258	11	seems	seem	VERB
ap-7150	258	12	to	to	PART
ap-7150	258	13	converge	converge	VERB
ap-7150	258	14	to	to	ADP
ap-7150	258	15	a	a	DET
ap-7150	258	16	value	value	NOUN
ap-7150	258	17	at	at	ADP
ap-7150	258	18	large	large	ADJ
ap-7150	258	19	reynolds	reynold	NOUN
ap-7150	258	20	num0	num0	PROPN
ap-7150	258	21	20	20	NUM
ap-7150	258	22	40	40	NUM
ap-7150	258	23	60	60	NUM
ap-7150	258	24	80	80	NUM
ap-7150	258	25	100	100	NUM
ap-7150	258	26	120	120	NUM
ap-7150	258	27	140	140	NUM
ap-7150	258	28	160	160	NUM
ap-7150	258	29	180	180	NUM
ap-7150	258	30	0	0	NUM
ap-7150	258	31	5000	5000	NUM
ap-7150	258	32	10000	10000	NUM
ap-7150	258	33	15000	15000	NUM
ap-7150	258	34	20000	20000	NUM
ap-7150	258	35	25000	25000	NUM
ap-7150	258	36	a	a	PRON
ap-7150	258	37	ng	ng	PROPN
ap-7150	258	38	le	le	X
ap-7150	259	1	[	[	X
ap-7150	259	2	d	d	X
ap-7150	259	3	eg	eg	X
ap-7150	259	4	]	]	PUNCT
ap-7150	259	5	reynolds	reynolds	PROPN
ap-7150	259	6	number	number	NOUN
ap-7150	259	7	θsv	θsv	PROPN
ap-7150	259	8	begin	begin	VERB
ap-7150	259	9	θsv	θsv	ADJ
ap-7150	259	10	end	end	VERB
ap-7150	259	11	θtv	θtv	PROPN
ap-7150	259	12	begin	begin	VERB
ap-7150	259	13	θtv	θtv	PROPN
ap-7150	259	14	end	end	NOUN
ap-7150	259	15	figure	figure	NOUN
ap-7150	259	16	7	7	NUM
ap-7150	259	17	.	.	PUNCT
ap-7150	259	18	detachment	detachment	NOUN
ap-7150	259	19	angles	angle	NOUN
ap-7150	259	20	of	of	ADP
ap-7150	259	21	the	the	DET
ap-7150	259	22	secondary	secondary	ADJ
ap-7150	259	23	and	and	CCONJ
ap-7150	259	24	tertiary	tertiary	ADJ
ap-7150	259	25	vortex	vortex	NOUN
ap-7150	259	26	as	as	ADP
ap-7150	259	27	a	a	DET
ap-7150	259	28	function	function	NOUN
ap-7150	259	29	of	of	ADP
ap-7150	259	30	the	the	DET
ap-7150	259	31	reynolds	reynolds	PROPN
ap-7150	259	32	number	number	PROPN
ap-7150	259	33	.	.	PUNCT
ap-7150	260	1	bers	ber	NOUN
ap-7150	260	2	,	,	PUNCT
ap-7150	260	3	θendsv	θendsv	NOUN
ap-7150	260	4	,	,	PUNCT
ap-7150	260	5	θbegintv	θbegintv	NOUN
ap-7150	260	6	and	and	CCONJ
ap-7150	260	7	θendtv	θendtv	NOUN
ap-7150	260	8	are	be	AUX
ap-7150	260	9	still	still	ADV
ap-7150	260	10	increasing	increase	VERB
ap-7150	260	11	as	as	ADP
ap-7150	260	12	the	the	DET
ap-7150	260	13	reynolds	reynolds	PROPN
ap-7150	260	14	number	number	NOUN
ap-7150	260	15	increases	increase	VERB
ap-7150	260	16	.	.	PUNCT
ap-7150	261	1	this	this	PRON
ap-7150	261	2	states	state	VERB
ap-7150	261	3	that	that	SCONJ
ap-7150	261	4	the	the	DET
ap-7150	261	5	solution	solution	NOUN
ap-7150	261	6	of	of	ADP
ap-7150	261	7	the	the	DET
ap-7150	261	8	semi	semi	ADJ
ap-7150	261	9	-	-	ADJ
ap-7150	261	10	circular	circular	ADJ
ap-7150	261	11	cavity	cavity	NOUN
ap-7150	261	12	flow	flow	NOUN
ap-7150	261	13	is	be	AUX
ap-7150	261	14	still	still	ADV
ap-7150	261	15	changing	change	VERB
ap-7150	261	16	even	even	ADV
ap-7150	261	17	at	at	ADP
ap-7150	261	18	the	the	DET
ap-7150	261	19	highest	high	ADJ
ap-7150	261	20	reynolds	reynold	NOUN
ap-7150	261	21	number	number	NOUN
ap-7150	261	22	considered	consider	VERB
ap-7150	261	23	in	in	ADP
ap-7150	261	24	the	the	DET
ap-7150	261	25	present	present	ADJ
ap-7150	261	26	study	study	NOUN
ap-7150	261	27	(	(	PUNCT
ap-7150	261	28	i.e.	i.e.	X
ap-7150	261	29	re	re	X
ap-7150	261	30	=	=	NOUN
ap-7150	261	31	24000	24000	NUM
ap-7150	261	32	)	)	PUNCT
ap-7150	261	33	.	.	PUNCT
ap-7150	262	1	at	at	ADP
ap-7150	262	2	large	large	ADJ
ap-7150	262	3	reynolds	reynold	NOUN
ap-7150	262	4	number	number	NOUN
ap-7150	262	5	,	,	PUNCT
ap-7150	262	6	the	the	DET
ap-7150	262	7	batchelor	batchelor	PROPN
ap-7150	262	8	’s	’s	PART
ap-7150	262	9	model	model	NOUN
ap-7150	262	10	(	(	PUNCT
ap-7150	262	11	[	[	X
ap-7150	262	12	29	29	NUM
ap-7150	262	13	]	]	SYM
ap-7150	262	14	)	)	PUNCT
ap-7150	262	15	states	state	VERB
ap-7150	262	16	that	that	SCONJ
ap-7150	262	17	the	the	DET
ap-7150	262	18	steady	steady	ADJ
ap-7150	262	19	laminar	laminar	ADJ
ap-7150	262	20	flow	flow	NOUN
ap-7150	262	21	with	with	ADP
ap-7150	262	22	closed	closed	ADJ
ap-7150	262	23	streamlines	streamline	NOUN
ap-7150	262	24	moves	move	NOUN
ap-7150	262	25	like	like	ADP
ap-7150	262	26	a	a	DET
ap-7150	262	27	solid	solid	ADJ
ap-7150	262	28	body	body	NOUN
ap-7150	262	29	with	with	ADP
ap-7150	262	30	a	a	DET
ap-7150	262	31	uniform	uniform	ADJ
ap-7150	262	32	vorticity	vorticity	NOUN
ap-7150	262	33	at	at	ADP
ap-7150	262	34	the	the	DET
ap-7150	262	35	inviscid	inviscid	ADJ
ap-7150	262	36	vortex	vortex	NOUN
ap-7150	262	37	.	.	PUNCT
ap-7150	263	1	erturk	erturk	PROPN
ap-7150	264	1	[	[	X
ap-7150	264	2	2	2	X
ap-7150	264	3	]	]	PUNCT
ap-7150	264	4	showed	show	VERB
ap-7150	264	5	that	that	SCONJ
ap-7150	264	6	in	in	ADP
ap-7150	264	7	the	the	DET
ap-7150	264	8	driven	drive	VERB
ap-7150	264	9	square	square	ADJ
ap-7150	264	10	cavity	cavity	NOUN
ap-7150	264	11	flow	flow	NOUN
ap-7150	264	12	at	at	ADP
ap-7150	264	13	large	large	ADJ
ap-7150	264	14	reynolds	reynold	NOUN
ap-7150	264	15	numbers	number	NOUN
ap-7150	264	16	in	in	ADP
ap-7150	264	17	the	the	DET
ap-7150	264	18	primary	primary	ADJ
ap-7150	264	19	vortex	vortex	NOUN
ap-7150	264	20	,	,	PUNCT
ap-7150	264	21	the	the	DET
ap-7150	264	22	vorticity	vorticity	NOUN
ap-7150	264	23	is	be	AUX
ap-7150	264	24	almost	almost	ADV
ap-7150	264	25	uniform	uniform	ADJ
ap-7150	264	26	such	such	ADJ
ap-7150	264	27	that	that	SCONJ
ap-7150	264	28	the	the	DET
ap-7150	264	29	core	core	ADJ
ap-7150	264	30	fluid	fluid	NOUN
ap-7150	264	31	rotates	rotate	NOUN
ap-7150	264	32	like	like	ADP
ap-7150	264	33	a	a	DET
ap-7150	264	34	solid	solid	ADJ
ap-7150	264	35	body	body	NOUN
ap-7150	264	36	in	in	ADP
ap-7150	264	37	agreement	agreement	NOUN
ap-7150	264	38	with	with	ADP
ap-7150	264	39	the	the	DET
ap-7150	264	40	batchelor	batchelor	PROPN
ap-7150	264	41	’s	’s	PART
ap-7150	264	42	model	model	NOUN
ap-7150	264	43	(	(	PUNCT
ap-7150	264	44	[	[	X
ap-7150	264	45	29	29	NUM
ap-7150	264	46	]	]	NUM
ap-7150	264	47	)	)	PUNCT
ap-7150	264	48	,	,	PUNCT
ap-7150	264	49	also	also	ADV
ap-7150	264	50	,	,	PUNCT
ap-7150	264	51	at	at	ADP
ap-7150	264	52	the	the	DET
ap-7150	264	53	primary	primary	ADJ
ap-7150	264	54	vortex	vortex	NOUN
ap-7150	264	55	centre	centre	NOUN
ap-7150	264	56	,	,	PUNCT
ap-7150	264	57	the	the	DET
ap-7150	264	58	vorticity	vorticity	NOUN
ap-7150	264	59	value	value	NOUN
ap-7150	264	60	converges	converge	VERB
ap-7150	264	61	to	to	ADP
ap-7150	264	62	the	the	DET
ap-7150	264	63	limiting	limit	VERB
ap-7150	264	64	value	value	NOUN
ap-7150	264	65	analytically	analytically	ADV
ap-7150	264	66	calculated	calculate	VERB
ap-7150	264	67	by	by	ADP
ap-7150	264	68	burggraf	burggraf	NOUN
ap-7150	264	69	[	[	X
ap-7150	264	70	30	30	NUM
ap-7150	264	71	]	]	PUNCT
ap-7150	264	72	.	.	PUNCT
ap-7150	265	1	in	in	ADP
ap-7150	265	2	the	the	DET
ap-7150	265	3	case	case	NOUN
ap-7150	265	4	of	of	ADP
ap-7150	265	5	the	the	DET
ap-7150	265	6	driven	drive	VERB
ap-7150	265	7	semicircular	semicircular	ADJ
ap-7150	265	8	cavity	cavity	NOUN
ap-7150	265	9	flow	flow	NOUN
ap-7150	265	10	at	at	ADP
ap-7150	265	11	large	large	ADJ
ap-7150	265	12	reynolds	reynold	NOUN
ap-7150	265	13	numbers	number	NOUN
ap-7150	265	14	,	,	PUNCT
ap-7150	265	15	from	from	ADP
ap-7150	265	16	figure	figure	NOUN
ap-7150	265	17	4	4	NUM
ap-7150	265	18	and	and	CCONJ
ap-7150	265	19	figure	figure	VERB
ap-7150	265	20	7	7	NUM
ap-7150	265	21	,	,	PUNCT
ap-7150	265	22	we	we	PRON
ap-7150	265	23	can	can	AUX
ap-7150	265	24	see	see	VERB
ap-7150	265	25	that	that	SCONJ
ap-7150	265	26	the	the	DET
ap-7150	265	27	sizes	size	NOUN
ap-7150	265	28	of	of	ADP
ap-7150	265	29	the	the	DET
ap-7150	265	30	primary	primary	ADJ
ap-7150	265	31	,	,	PUNCT
ap-7150	265	32	secondary	secondary	ADJ
ap-7150	265	33	and	and	CCONJ
ap-7150	265	34	tertiary	tertiary	ADJ
ap-7150	265	35	vortices	vortex	NOUN
ap-7150	265	36	are	be	AUX
ap-7150	265	37	still	still	ADV
ap-7150	265	38	changing	change	VERB
ap-7150	265	39	significantly	significantly	ADV
ap-7150	265	40	even	even	ADV
ap-7150	265	41	at	at	ADP
ap-7150	265	42	the	the	DET
ap-7150	265	43	highest	high	ADJ
ap-7150	265	44	considered	consider	VERB
ap-7150	265	45	reynolds	reynolds	PROPN
ap-7150	265	46	number	number	NOUN
ap-7150	265	47	of	of	ADP
ap-7150	265	48	re	re	NOUN
ap-7150	265	49	=	=	NOUN
ap-7150	265	50	24000	24000	NUM
ap-7150	265	51	,	,	PUNCT
ap-7150	265	52	while	while	SCONJ
ap-7150	265	53	the	the	DET
ap-7150	265	54	size	size	NOUN
ap-7150	265	55	of	of	ADP
ap-7150	265	56	the	the	DET
ap-7150	265	57	primary	primary	ADJ
ap-7150	265	58	vortex	vortex	NOUN
ap-7150	265	59	decreases	decrease	VERB
ap-7150	265	60	,	,	PUNCT
ap-7150	265	61	the	the	DET
ap-7150	265	62	size	size	NOUN
ap-7150	265	63	of	of	ADP
ap-7150	265	64	the	the	DET
ap-7150	265	65	secondary	secondary	ADJ
ap-7150	265	66	and	and	CCONJ
ap-7150	265	67	tertiary	tertiary	ADJ
ap-7150	265	68	vortices	vortex	NOUN
ap-7150	265	69	increases	increase	NOUN
ap-7150	265	70	.	.	PUNCT
ap-7150	266	1	this	this	PRON
ap-7150	266	2	indicates	indicate	VERB
ap-7150	266	3	that	that	SCONJ
ap-7150	266	4	522	522	NUM
ap-7150	266	5	vol	vol	NOUN
ap-7150	266	6	.	.	PUNCT
ap-7150	267	1	61	61	NUM
ap-7150	267	2	no	no	NOUN
ap-7150	267	3	.	.	PUNCT
ap-7150	268	1	4/2021	4/2021	PROPN
ap-7150	268	2	wall	wall	NOUN
ap-7150	268	3	-	-	PUNCT
ap-7150	268	4	driven	drive	VERB
ap-7150	268	5	semi	semi	ADJ
ap-7150	268	6	-	-	ADJ
ap-7150	268	7	circular	circular	ADJ
ap-7150	268	8	cavity	cavity	NOUN
ap-7150	268	9	flow	flow	NOUN
ap-7150	268	10	re	re	X
ap-7150	268	11	ψ	ψ	PROPN
ap-7150	268	12	ω	ω	PROPN
ap-7150	268	13	x	x	SYM
ap-7150	268	14	y	y	PROPN
ap-7150	268	15	500	500	NUM
ap-7150	268	16	pv	pv	NOUN
ap-7150	268	17	-7.6674e-02	-7.6674e-02	NOUN
ap-7150	268	18	4.73550	4.73550	NUM
ap-7150	268	19	0.1334	0.1334	NUM
ap-7150	268	20	-0.1940	-0.1940	NOUN
ap-7150	268	21	1000	1000	NUM
ap-7150	268	22	pv	pv	NOUN
ap-7150	268	23	-7.8084e-02	-7.8084e-02	PUNCT
ap-7150	269	1	4.53861	4.53861	NUM
ap-7150	269	2	0.1193	0.1193	NUM
ap-7150	269	3	-0.2030	-0.2030	NOUN
ap-7150	269	4	sv	sv	PROPN
ap-7150	269	5	4.1296e-04	4.1296e-04	NUM
ap-7150	269	6	-0.58656	-0.58656	PROPN
ap-7150	269	7	-0.3456	-0.3456	PUNCT
ap-7150	269	8	-0.2570	-0.2570	NOUN
ap-7150	270	1	2000	2000	NUM
ap-7150	270	2	pv	pv	NOUN
ap-7150	270	3	-7.6735e-02	-7.6735e-02	PUNCT
ap-7150	271	1	4.57210	4.57210	NUM
ap-7150	271	2	0.1359	0.1359	NUM
ap-7150	271	3	-0.2062	-0.2062	NOUN
ap-7150	271	4	sv	sv	ADP
ap-7150	271	5	3.8975e-03	3.8975e-03	NUM
ap-7150	271	6	-1.37969	-1.37969	ADV
ap-7150	271	7	-0.3250	-0.3250	ADJ
ap-7150	271	8	-0.1817	-0.1817	NOUN
ap-7150	272	1	3000	3000	NUM
ap-7150	272	2	pv	pv	NOUN
ap-7150	272	3	-7.4606e-02	-7.4606e-02	PUNCT
ap-7150	272	4	4.70449	4.70449	NUM
ap-7150	272	5	0.1551	0.1551	NUM
ap-7150	272	6	-0.2020	-0.2020	NOUN
ap-7150	273	1	sv	sv	ADP
ap-7150	273	2	6.5343e-03	6.5343e-03	NUM
ap-7150	273	3	-1.48358	-1.48358	NOUN
ap-7150	273	4	-0.3096	-0.3096	ADJ
ap-7150	274	1	-0.1836	-0.1836	NOUN
ap-7150	274	2	4000	4000	NUM
ap-7150	275	1	pv	pv	INTJ
ap-7150	275	2	-7.2385e-02	-7.2385e-02	PROPN
ap-7150	275	3	4.86208	4.86208	NUM
ap-7150	275	4	0.1722	0.1722	NUM
ap-7150	275	5	-0.1978	-0.1978	NOUN
ap-7150	276	1	sv	sv	ADP
ap-7150	276	2	8.6265e-03	8.6265e-03	PROPN
ap-7150	276	3	-1.47665	-1.47665	NOUN
ap-7150	276	4	-0.2829	-0.2829	PROPN
ap-7150	276	5	-0.1933	-0.1933	NOUN
ap-7150	276	6	5000	5000	NUM
ap-7150	276	7	pv	pv	NOUN
ap-7150	276	8	-7.0263e-02	-7.0263e-02	PROPN
ap-7150	276	9	5.02531	5.02531	NUM
ap-7150	276	10	0.1891	0.1891	NUM
ap-7150	276	11	-0.1931	-0.1931	NOUN
ap-7150	276	12	sv	sv	ADP
ap-7150	276	13	1.0289e-02	1.0289e-02	NUM
ap-7150	276	14	-1.47578	-1.47578	PROPN
ap-7150	277	1	-0.2609	-0.2609	VERB
ap-7150	277	2	-0.1986	-0.1986	VERB
ap-7150	278	1	tv	tv	NOUN
ap-7150	278	2	-1.5422e-05	-1.5422e-05	PUNCT
ap-7150	278	3	0.13901	0.13901	NUM
ap-7150	278	4	-0.1629	-0.1629	X
ap-7150	278	5	-0.4461	-0.4461	X
ap-7150	279	1	6600	6600	NUM
ap-7150	279	2	pv	pv	NOUN
ap-7150	279	3	-6.7180e-02	-6.7180e-02	PUNCT
ap-7150	280	1	5.28290	5.28290	NUM
ap-7150	280	2	0.2096	0.2096	NUM
ap-7150	280	3	-0.1868	-0.1868	VERB
ap-7150	280	4	sv	sv	ADP
ap-7150	280	5	1.2349e-02	1.2349e-02	NUM
ap-7150	280	6	-1.46225	-1.46225	NUM
ap-7150	281	1	-0.2396	-0.2396	ADJ
ap-7150	282	1	-0.2052	-0.2052	PUNCT
ap-7150	283	1	tv	tv	NOUN
ap-7150	283	2	-1.5500e-04	-1.5500e-04	PUNCT
ap-7150	283	3	0.37152	0.37152	NUM
ap-7150	283	4	-0.0828	-0.0828	NOUN
ap-7150	283	5	-0.4365	-0.4365	PROPN
ap-7150	283	6	8000	8000	NUM
ap-7150	283	7	pv	pv	NOUN
ap-7150	283	8	-6.4793e-02	-6.4793e-02	PROPN
ap-7150	283	9	5.50007	5.50007	NUM
ap-7150	283	10	0.2252	0.2252	NUM
ap-7150	283	11	-0.1786	-0.1786	NOUN
ap-7150	283	12	sv	sv	PROPN
ap-7150	284	1	1.3747e-02	1.3747e-02	PROPN
ap-7150	284	2	-1.44986	-1.44986	PROPN
ap-7150	284	3	-0.2236	-0.2236	PROPN
ap-7150	284	4	-0.2086	-0.2086	PROPN
ap-7150	285	1	tv	tv	NOUN
ap-7150	285	2	-3.0604e-04	-3.0604e-04	PUNCT
ap-7150	285	3	0.47522	0.47522	NUM
ap-7150	285	4	-0.0321	-0.0321	PROPN
ap-7150	285	5	-0.4323	-0.4323	NOUN
ap-7150	285	6	10000	10000	NUM
ap-7150	286	1	pv	pv	NOUN
ap-7150	286	2	-6.1823e-02	-6.1823e-02	PROPN
ap-7150	286	3	5.79482	5.79482	NUM
ap-7150	286	4	0.2432	0.2432	NUM
ap-7150	286	5	-0.1720	-0.1720	NOUN
ap-7150	286	6	sv	sv	PROPN
ap-7150	286	7	1.5309e-02	1.5309e-02	NUM
ap-7150	286	8	-1.43214	-1.43214	PROPN
ap-7150	286	9	-0.2037	-0.2037	NOUN
ap-7150	286	10	-0.2128	-0.2128	NOUN
ap-7150	287	1	tv	tv	NOUN
ap-7150	287	2	-4.8690e-04	-4.8690e-04	PUNCT
ap-7150	287	3	0.56585	0.56585	NUM
ap-7150	287	4	0.0230	0.0230	NUM
ap-7150	287	5	-0.4261	-0.4261	NOUN
ap-7150	287	6	15000	15000	NUM
ap-7150	287	7	pv	pv	NOUN
ap-7150	287	8	-5.6092e-02	-5.6092e-02	PROPN
ap-7150	288	1	6.45364	6.45364	NUM
ap-7150	288	2	0.2757	0.2757	NUM
ap-7150	288	3	-0.1561	-0.1561	NOUN
ap-7150	288	4	sv	sv	INTJ
ap-7150	289	1	1.7854e-02	1.7854e-02	NUM
ap-7150	289	2	-1.39370	-1.39370	PROPN
ap-7150	289	3	-0.1747	-0.1747	PROPN
ap-7150	289	4	-0.2220	-0.2220	NOUN
ap-7150	289	5	tv	tv	NOUN
ap-7150	289	6	-7.8118e-04	-7.8118e-04	PUNCT
ap-7150	289	7	0.67408	0.67408	NUM
ap-7150	289	8	0.1123	0.1123	NUM
ap-7150	289	9	-0.4074	-0.4074	NOUN
ap-7150	289	10	20000	20000	NUM
ap-7150	290	1	pv	pv	NOUN
ap-7150	290	2	-5.1952e-02	-5.1952e-02	PROPN
ap-7150	291	1	7.02646	7.02646	NUM
ap-7150	291	2	0.2953	0.2953	NUM
ap-7150	291	3	-0.1447	-0.1447	NOUN
ap-7150	291	4	sv	sv	NOUN
ap-7150	291	5	1.9332e-02	1.9332e-02	NUM
ap-7150	291	6	-1.36248	-1.36248	NOUN
ap-7150	291	7	-0.1543	-0.1543	ADJ
ap-7150	291	8	-0.2243	-0.2243	PROPN
ap-7150	291	9	tv	tv	PROPN
ap-7150	291	10	-9.7761e-04	-9.7761e-04	PUNCT
ap-7150	291	11	0.73133	0.73133	NUM
ap-7150	291	12	0.1649	0.1649	NUM
ap-7150	291	13	-0.3892	-0.3892	NOUN
ap-7150	291	14	24000	24000	NUM
ap-7150	291	15	pv	pv	NOUN
ap-7150	291	16	-4.9336e-02	-4.9336e-02	PROPN
ap-7150	291	17	7.44717	7.44717	NUM
ap-7150	291	18	0.3088	0.3088	NUM
ap-7150	291	19	-0.1382	-0.1382	NOUN
ap-7150	292	1	sv	sv	PROPN
ap-7150	292	2	2.0103e-02	2.0103e-02	NUM
ap-7150	292	3	-1.34078	-1.34078	PROPN
ap-7150	292	4	-0.1425	-0.1425	PROPN
ap-7150	292	5	-0.2272	-0.2272	PROPN
ap-7150	293	1	tv	tv	NOUN
ap-7150	293	2	-1.0986e-03	-1.0986e-03	VERB
ap-7150	294	1	0.75759	0.75759	NUM
ap-7150	294	2	0.1919	0.1919	NUM
ap-7150	294	3	-0.3758	-0.3758	NOUN
ap-7150	294	4	table	table	NOUN
ap-7150	294	5	4	4	NUM
ap-7150	294	6	.	.	PUNCT
ap-7150	294	7	streamfunction	streamfunction	NOUN
ap-7150	294	8	,	,	PUNCT
ap-7150	294	9	vorticity	vorticity	NOUN
ap-7150	294	10	at	at	ADP
ap-7150	294	11	the	the	DET
ap-7150	294	12	centres	centre	NOUN
ap-7150	294	13	of	of	ADP
ap-7150	294	14	vortices	vortex	NOUN
ap-7150	294	15	and	and	CCONJ
ap-7150	294	16	(	(	PUNCT
ap-7150	294	17	x	x	NOUN
ap-7150	294	18	,	,	PUNCT
ap-7150	294	19	y	y	NOUN
ap-7150	294	20	)	)	PUNCT
ap-7150	294	21	locations	location	NOUN
ap-7150	294	22	at	at	ADP
ap-7150	294	23	different	different	ADJ
ap-7150	294	24	reynolds	reynold	NOUN
ap-7150	294	25	numbers	number	NOUN
ap-7150	294	26	.	.	PUNCT
ap-7150	295	1	even	even	ADV
ap-7150	295	2	at	at	ADP
ap-7150	295	3	re	re	NOUN
ap-7150	295	4	=	=	NOUN
ap-7150	295	5	24000	24000	NUM
ap-7150	295	6	,	,	PUNCT
ap-7150	295	7	the	the	DET
ap-7150	295	8	flow	flow	NOUN
ap-7150	295	9	is	be	AUX
ap-7150	295	10	still	still	ADV
ap-7150	295	11	evolving	evolve	VERB
ap-7150	295	12	and	and	CCONJ
ap-7150	295	13	the	the	DET
ap-7150	295	14	flow	flow	NOUN
ap-7150	295	15	quantities	quantity	NOUN
ap-7150	295	16	are	be	AUX
ap-7150	295	17	not	not	PART
ap-7150	295	18	converging	converge	VERB
ap-7150	295	19	to	to	ADP
ap-7150	295	20	a	a	DET
ap-7150	295	21	value	value	NOUN
ap-7150	295	22	asymptotically	asymptotically	ADV
ap-7150	295	23	.	.	PUNCT
ap-7150	296	1	however	however	ADV
ap-7150	296	2	,	,	PUNCT
ap-7150	296	3	in	in	ADP
ap-7150	296	4	the	the	DET
ap-7150	296	5	case	case	NOUN
ap-7150	296	6	of	of	ADP
ap-7150	296	7	the	the	DET
ap-7150	296	8	square	square	ADJ
ap-7150	296	9	driven	drive	VERB
ap-7150	296	10	cavity	cavity	NOUN
ap-7150	296	11	in	in	ADP
ap-7150	296	12	erturk	erturk	PROPN
ap-7150	296	13	[	[	X
ap-7150	296	14	2	2	NUM
ap-7150	296	15	]	]	PUNCT
ap-7150	296	16	,	,	PUNCT
ap-7150	296	17	the	the	DET
ap-7150	296	18	change	change	NOUN
ap-7150	296	19	in	in	ADP
ap-7150	296	20	the	the	DET
ap-7150	296	21	the	the	DET
ap-7150	296	22	primary	primary	ADJ
ap-7150	296	23	vortex	vortex	NOUN
ap-7150	296	24	’s	’s	PART
ap-7150	296	25	size	size	NOUN
ap-7150	296	26	or	or	CCONJ
ap-7150	296	27	the	the	DET
ap-7150	296	28	change	change	NOUN
ap-7150	296	29	in	in	ADP
ap-7150	296	30	the	the	DET
ap-7150	296	31	flow	flow	NOUN
ap-7150	296	32	quantities	quantity	NOUN
ap-7150	296	33	at	at	ADP
ap-7150	296	34	the	the	DET
ap-7150	296	35	centre	centre	NOUN
ap-7150	296	36	of	of	ADP
ap-7150	296	37	the	the	DET
ap-7150	296	38	primary	primary	ADJ
ap-7150	296	39	vortex	vortex	NOUN
ap-7150	296	40	becomes	become	VERB
ap-7150	296	41	very	very	ADV
ap-7150	296	42	small	small	ADJ
ap-7150	296	43	as	as	SCONJ
ap-7150	296	44	the	the	DET
ap-7150	296	45	reynolds	reynolds	PROPN
ap-7150	296	46	number	number	NOUN
ap-7150	296	47	increases	increase	VERB
ap-7150	296	48	to	to	ADP
ap-7150	296	49	high	high	ADJ
ap-7150	296	50	values	value	NOUN
ap-7150	296	51	converging	converge	VERB
ap-7150	296	52	to	to	ADP
ap-7150	296	53	a	a	DET
ap-7150	296	54	stable	stable	ADJ
ap-7150	296	55	value	value	NOUN
ap-7150	296	56	.	.	PUNCT
ap-7150	297	1	in	in	ADP
ap-7150	297	2	order	order	NOUN
ap-7150	297	3	to	to	PART
ap-7150	297	4	see	see	VERB
ap-7150	297	5	the	the	DET
ap-7150	297	6	behaviour	behaviour	NOUN
ap-7150	297	7	of	of	ADP
ap-7150	297	8	the	the	DET
ap-7150	297	9	driven	driven	ADJ
ap-7150	297	10	semi	semi	ADJ
ap-7150	297	11	-	-	ADJ
ap-7150	297	12	circular	circular	ADJ
ap-7150	297	13	cavity	cavity	NOUN
ap-7150	297	14	flow	flow	NOUN
ap-7150	297	15	at	at	ADP
ap-7150	297	16	large	large	ADJ
ap-7150	297	17	reynolds	reynold	NOUN
ap-7150	297	18	numbers	number	NOUN
ap-7150	297	19	better	well	ADV
ap-7150	297	20	,	,	PUNCT
ap-7150	297	21	in	in	ADP
ap-7150	297	22	figure	figure	NOUN
ap-7150	297	23	8	8	NUM
ap-7150	297	24	,	,	PUNCT
ap-7150	297	25	we	we	PRON
ap-7150	297	26	plot	plot	VERB
ap-7150	297	27	the	the	DET
ap-7150	297	28	vorticity	vorticity	NOUN
ap-7150	297	29	value	value	NOUN
ap-7150	297	30	at	at	ADP
ap-7150	297	31	the	the	DET
ap-7150	297	32	centre	centre	NOUN
ap-7150	297	33	of	of	ADP
ap-7150	297	34	the	the	DET
ap-7150	297	35	primary	primary	ADJ
ap-7150	297	36	vortex	vortex	NOUN
ap-7150	297	37	with	with	ADP
ap-7150	297	38	respect	respect	NOUN
ap-7150	297	39	to	to	ADP
ap-7150	297	40	the	the	DET
ap-7150	297	41	reynolds	reynolds	PROPN
ap-7150	297	42	numbers	number	NOUN
ap-7150	297	43	,	,	PUNCT
ap-7150	297	44	which	which	PRON
ap-7150	297	45	are	be	AUX
ap-7150	297	46	tabulated	tabulate	VERB
ap-7150	297	47	in	in	ADP
ap-7150	297	48	table	table	NOUN
ap-7150	297	49	3	3	NUM
ap-7150	297	50	.	.	PUNCT
ap-7150	297	51	from	from	ADP
ap-7150	297	52	figure	figure	NOUN
ap-7150	297	53	8	8	NUM
ap-7150	297	54	,	,	PUNCT
ap-7150	297	55	we	we	PRON
ap-7150	297	56	can	can	AUX
ap-7150	297	57	see	see	VERB
ap-7150	297	58	that	that	SCONJ
ap-7150	297	59	the	the	DET
ap-7150	297	60	vorticity	vorticity	NOUN
ap-7150	297	61	value	value	NOUN
ap-7150	297	62	at	at	ADP
ap-7150	297	63	the	the	DET
ap-7150	297	64	primary	primary	ADJ
ap-7150	297	65	vortex	vortex	NOUN
ap-7150	297	66	centre	centre	NOUN
ap-7150	297	67	continuously	continuously	ADV
ap-7150	297	68	increases	increase	VERB
ap-7150	297	69	almost	almost	ADV
ap-7150	297	70	linearly	linearly	ADV
ap-7150	297	71	with	with	ADP
ap-7150	297	72	respect	respect	NOUN
ap-7150	297	73	to	to	ADP
ap-7150	297	74	the	the	DET
ap-7150	297	75	reynolds	reynolds	PROPN
ap-7150	297	76	number	number	NOUN
ap-7150	297	77	without	without	ADP
ap-7150	297	78	converging	converge	VERB
ap-7150	297	79	to	to	ADP
ap-7150	297	80	a	a	DET
ap-7150	297	81	value	value	NOUN
ap-7150	297	82	even	even	ADV
ap-7150	297	83	at	at	ADP
ap-7150	297	84	re	re	NOUN
ap-7150	297	85	=	=	NOUN
ap-7150	297	86	24000	24000	NUM
ap-7150	297	87	.	.	PUNCT
ap-7150	298	1	present	present	ADJ
ap-7150	298	2	results	result	NOUN
ap-7150	298	3	show	show	VERB
ap-7150	298	4	that	that	SCONJ
ap-7150	298	5	at	at	ADP
ap-7150	298	6	large	large	ADJ
ap-7150	298	7	reynolds	reynold	NOUN
ap-7150	298	8	numbers	number	NOUN
ap-7150	298	9	,	,	PUNCT
ap-7150	298	10	the	the	DET
ap-7150	298	11	driven	driven	ADJ
ap-7150	298	12	semi	semi	ADJ
ap-7150	298	13	-	-	ADJ
ap-7150	298	14	circular	circular	ADJ
ap-7150	298	15	cavity	cavity	NOUN
ap-7150	298	16	flow	flow	NOUN
ap-7150	298	17	does	do	AUX
ap-7150	298	18	not	not	PART
ap-7150	298	19	agree	agree	VERB
ap-7150	298	20	with	with	ADP
ap-7150	298	21	the	the	DET
ap-7150	298	22	batchelor	batchelor	PROPN
ap-7150	298	23	’s	’s	PART
ap-7150	298	24	model	model	NOUN
ap-7150	298	25	(	(	PUNCT
ap-7150	298	26	[	[	X
ap-7150	298	27	29	29	NUM
ap-7150	298	28	]	]	NUM
ap-7150	298	29	)	)	PUNCT
ap-7150	298	30	.	.	PUNCT
ap-7150	299	1	4	4	X
ap-7150	299	2	.	.	X
ap-7150	299	3	conclusion	conclusion	NOUN
ap-7150	299	4	in	in	ADP
ap-7150	299	5	this	this	DET
ap-7150	299	6	study	study	NOUN
ap-7150	299	7	we	we	PRON
ap-7150	299	8	have	have	AUX
ap-7150	299	9	presented	present	VERB
ap-7150	299	10	stationary	stationary	ADJ
ap-7150	299	11	solutions	solution	NOUN
ap-7150	299	12	of	of	ADP
ap-7150	299	13	an	an	DET
ap-7150	299	14	incompressible	incompressible	ADJ
ap-7150	299	15	viscous	viscous	ADJ
ap-7150	299	16	flow	flow	NOUN
ap-7150	299	17	in	in	ADP
ap-7150	299	18	a	a	DET
ap-7150	299	19	wall	wall	NOUN
ap-7150	299	20	-	-	PUNCT
ap-7150	299	21	driven	drive	VERB
ap-7150	299	22	semicircular	semicircular	ADJ
ap-7150	299	23	cavity	cavity	NOUN
ap-7150	299	24	at	at	ADP
ap-7150	299	25	large	large	ADJ
ap-7150	299	26	reynolds	reynold	NOUN
ap-7150	299	27	numbers	number	NOUN
ap-7150	299	28	.	.	PUNCT
ap-7150	300	1	the	the	DET
ap-7150	300	2	governing	govern	VERB
ap-7150	300	3	equations	equation	NOUN
ap-7150	300	4	are	be	AUX
ap-7150	300	5	numerically	numerically	ADV
ap-7150	300	6	solved	solve	VERB
ap-7150	300	7	up	up	ADP
ap-7150	300	8	to	to	PART
ap-7150	300	9	re	re	VERB
ap-7150	300	10	=	=	NOUN
ap-7150	300	11	24000	24000	NUM
ap-7150	300	12	re	re	AUX
ap-7150	300	13	θbegin	θbegin	VERB
ap-7150	300	14	sv	sv	PROPN
ap-7150	300	15	θend	θend	PROPN
ap-7150	300	16	sv	sv	AUX
ap-7150	300	17	θbegin	θbegin	PROPN
ap-7150	300	18	t	t	PROPN
ap-7150	300	19	v	v	NOUN
ap-7150	300	20	θend	θend	VERB
ap-7150	300	21	t	t	PROPN
ap-7150	300	22	v	v	ADP
ap-7150	300	23	1000	1000	NUM
ap-7150	300	24	20.83	20.83	NUM
ap-7150	300	25	74.83	74.83	NUM
ap-7150	300	26	2000	2000	NUM
ap-7150	300	27	10.87	10.87	NUM
ap-7150	300	28	97.01	97.01	NUM
ap-7150	300	29	3000	3000	NUM
ap-7150	300	30	8.38	8.38	NUM
ap-7150	300	31	107.94	107.94	NUM
ap-7150	300	32	4000	4000	NUM
ap-7150	300	33	7.16	7.16	NUM
ap-7150	300	34	115.52	115.52	NUM
ap-7150	300	35	5000	5000	NUM
ap-7150	300	36	6.39	6.39	NUM
ap-7150	300	37	121.23	121.23	NUM
ap-7150	300	38	59.12	59.12	NUM
ap-7150	300	39	76.44	76.44	NUM
ap-7150	300	40	6600	6600	NUM
ap-7150	300	41	5.61	5.61	NUM
ap-7150	300	42	128.01	128.01	NUM
ap-7150	300	43	59.28	59.28	NUM
ap-7150	300	44	88.75	88.75	NUM
ap-7150	300	45	8000	8000	NUM
ap-7150	300	46	5.14	5.14	NUM
ap-7150	300	47	132.45	132.45	NUM
ap-7150	300	48	60.38	60.38	NUM
ap-7150	300	49	96.53	96.53	NUM
ap-7150	300	50	10000	10000	NUM
ap-7150	300	51	4.66	4.66	NUM
ap-7150	300	52	137.28	137.28	NUM
ap-7150	300	53	62.15	62.15	NUM
ap-7150	300	54	105.01	105.01	NUM
ap-7150	300	55	15000	15000	NUM
ap-7150	300	56	3.90	3.90	NUM
ap-7150	300	57	145.04	145.04	NUM
ap-7150	300	58	65.99	65.99	NUM
ap-7150	300	59	118.75	118.75	NUM
ap-7150	300	60	20000	20000	NUM
ap-7150	300	61	3.43	3.43	NUM
ap-7150	300	62	149.75	149.75	NUM
ap-7150	300	63	68.79	68.79	NUM
ap-7150	300	64	127.04	127.04	NUM
ap-7150	300	65	24000	24000	NUM
ap-7150	300	66	3.16	3.16	NUM
ap-7150	300	67	152.44	152.44	NUM
ap-7150	300	68	70.52	70.52	NUM
ap-7150	300	69	131.72	131.72	NUM
ap-7150	300	70	table	table	NOUN
ap-7150	300	71	5	5	NUM
ap-7150	300	72	.	.	PUNCT
ap-7150	300	73	flow	flow	NOUN
ap-7150	300	74	detachment	detachment	NOUN
ap-7150	300	75	angles	angle	NOUN
ap-7150	300	76	of	of	ADP
ap-7150	300	77	the	the	DET
ap-7150	300	78	secondary	secondary	ADJ
ap-7150	300	79	(	(	PUNCT
ap-7150	300	80	sv	sv	NOUN
ap-7150	300	81	)	)	PUNCT
ap-7150	300	82	and	and	CCONJ
ap-7150	300	83	tertiary	tertiary	ADJ
ap-7150	300	84	(	(	PUNCT
ap-7150	300	85	tv	tv	NOUN
ap-7150	300	86	)	)	PUNCT
ap-7150	300	87	vortices	vortex	NOUN
ap-7150	300	88	at	at	ADP
ap-7150	300	89	different	different	ADJ
ap-7150	300	90	reynolds	reynold	NOUN
ap-7150	300	91	numbers	number	NOUN
ap-7150	300	92	.	.	PUNCT
ap-7150	301	1	4.0	4.0	NUM
ap-7150	301	2	4.5	4.5	NUM
ap-7150	301	3	5.0	5.0	NUM
ap-7150	301	4	5.5	5.5	NUM
ap-7150	301	5	6.0	6.0	NUM
ap-7150	301	6	6.5	6.5	NUM
ap-7150	301	7	7.0	7.0	NUM
ap-7150	301	8	7.5	7.5	NUM
ap-7150	301	9	8.0	8.0	NUM
ap-7150	301	10	0	0	NUM
ap-7150	301	11	5000	5000	NUM
ap-7150	301	12	10000	10000	NUM
ap-7150	301	13	15000	15000	NUM
ap-7150	301	14	20000	20000	NUM
ap-7150	301	15	25000	25000	NUM
ap-7150	301	16	reynolds	reynold	NOUN
ap-7150	301	17	number	number	PROPN
ap-7150	301	18	w	w	PROPN
ap-7150	301	19	pr	pr	NOUN
ap-7150	302	1	i	i	PRON
ap-7150	302	2	m	m	PROPN
ap-7150	302	3	ar	ar	PROPN
ap-7150	302	4	y	y	PROPN
ap-7150	302	5	vo	vo	PROPN
ap-7150	302	6	rt	rt	PROPN
ap-7150	302	7	e	e	PROPN
ap-7150	302	8	x	x	PUNCT
ap-7150	302	9	figure	figure	VERB
ap-7150	302	10	8	8	NUM
ap-7150	302	11	.	.	PUNCT
ap-7150	303	1	variation	variation	NOUN
ap-7150	303	2	of	of	ADP
ap-7150	303	3	the	the	DET
ap-7150	303	4	vorticity	vorticity	NOUN
ap-7150	303	5	value	value	NOUN
ap-7150	303	6	as	as	ADP
ap-7150	303	7	a	a	DET
ap-7150	303	8	function	function	NOUN
ap-7150	303	9	of	of	ADP
ap-7150	303	10	the	the	DET
ap-7150	303	11	reynolds	reynolds	PROPN
ap-7150	303	12	number	number	NOUN
ap-7150	303	13	at	at	ADP
ap-7150	303	14	the	the	DET
ap-7150	303	15	centre	centre	NOUN
ap-7150	303	16	of	of	ADP
ap-7150	303	17	the	the	DET
ap-7150	303	18	primary	primary	ADJ
ap-7150	303	19	vortex	vortex	NOUN
ap-7150	303	20	.	.	PUNCT
ap-7150	304	1	with	with	ADP
ap-7150	304	2	using	use	VERB
ap-7150	304	3	a	a	DET
ap-7150	304	4	body	body	NOUN
ap-7150	304	5	-	-	PUNCT
ap-7150	304	6	fitted	fit	VERB
ap-7150	304	7	mesh	mesh	NOUN
ap-7150	304	8	obtained	obtain	VERB
ap-7150	304	9	by	by	ADP
ap-7150	304	10	a	a	DET
ap-7150	304	11	conformal	conformal	ADJ
ap-7150	304	12	mapping	mapping	NOUN
ap-7150	304	13	.	.	PUNCT
ap-7150	305	1	our	our	PRON
ap-7150	305	2	numerical	numerical	ADJ
ap-7150	305	3	solutions	solution	NOUN
ap-7150	305	4	are	be	AUX
ap-7150	305	5	in	in	ADP
ap-7150	305	6	good	good	ADJ
ap-7150	305	7	agreement	agreement	NOUN
ap-7150	305	8	with	with	ADP
ap-7150	305	9	the	the	DET
ap-7150	305	10	numerical	numerical	ADJ
ap-7150	305	11	solutions	solution	NOUN
ap-7150	305	12	found	find	VERB
ap-7150	305	13	in	in	ADP
ap-7150	305	14	the	the	DET
ap-7150	305	15	literature	literature	NOUN
ap-7150	305	16	.	.	PUNCT
ap-7150	306	1	our	our	PRON
ap-7150	306	2	computations	computation	NOUN
ap-7150	306	3	indicate	indicate	VERB
ap-7150	306	4	that	that	SCONJ
ap-7150	306	5	as	as	SCONJ
ap-7150	306	6	the	the	DET
ap-7150	306	7	reynolds	reynolds	PROPN
ap-7150	306	8	number	number	NOUN
ap-7150	306	9	increases	increase	VERB
ap-7150	306	10	up	up	ADP
ap-7150	306	11	to	to	PART
ap-7150	306	12	re	re	VERB
ap-7150	306	13	=	=	NOUN
ap-7150	306	14	24000	24000	NUM
ap-7150	306	15	,	,	PUNCT
ap-7150	306	16	the	the	DET
ap-7150	306	17	size	size	NOUN
ap-7150	306	18	of	of	ADP
ap-7150	306	19	the	the	DET
ap-7150	306	20	secondary	secondary	ADJ
ap-7150	306	21	and	and	CCONJ
ap-7150	306	22	tertiary	tertiary	ADJ
ap-7150	306	23	vortex	vortex	NOUN
ap-7150	306	24	increases	increase	VERB
ap-7150	306	25	continuously	continuously	ADV
ap-7150	306	26	whereas	whereas	SCONJ
ap-7150	306	27	the	the	DET
ap-7150	306	28	size	size	NOUN
ap-7150	306	29	of	of	ADP
ap-7150	306	30	the	the	DET
ap-7150	306	31	primary	primary	ADJ
ap-7150	306	32	vortex	vortex	NOUN
ap-7150	306	33	decreases	decrease	VERB
ap-7150	306	34	continuously	continuously	ADV
ap-7150	306	35	.	.	PUNCT
ap-7150	307	1	present	present	ADJ
ap-7150	307	2	numerical	numerical	ADJ
ap-7150	307	3	solutions	solution	NOUN
ap-7150	307	4	show	show	VERB
ap-7150	307	5	that	that	SCONJ
ap-7150	307	6	the	the	DET
ap-7150	307	7	vorticity	vorticity	NOUN
ap-7150	307	8	value	value	NOUN
ap-7150	307	9	at	at	ADP
ap-7150	307	10	the	the	DET
ap-7150	307	11	centre	centre	NOUN
ap-7150	307	12	of	of	ADP
ap-7150	307	13	the	the	DET
ap-7150	307	14	primary	primary	ADJ
ap-7150	307	15	vortex	vortex	NOUN
ap-7150	307	16	increases	increase	VERB
ap-7150	307	17	almost	almost	ADV
ap-7150	307	18	linearly	linearly	ADV
ap-7150	307	19	at	at	ADP
ap-7150	307	20	large	large	ADJ
ap-7150	307	21	reynolds	reynold	NOUN
ap-7150	307	22	numbers	number	NOUN
ap-7150	307	23	,	,	PUNCT
ap-7150	307	24	up	up	ADP
ap-7150	307	25	to	to	ADP
ap-7150	307	26	the	the	DET
ap-7150	307	27	highest	high	ADJ
ap-7150	307	28	considered	consider	VERB
ap-7150	307	29	reynolds	reynold	NOUN
ap-7150	307	30	number	number	NOUN
ap-7150	307	31	of	of	ADP
ap-7150	307	32	24000	24000	NUM
ap-7150	307	33	in	in	ADP
ap-7150	307	34	this	this	DET
ap-7150	307	35	study	study	NOUN
ap-7150	307	36	,	,	PUNCT
ap-7150	307	37	stating	state	VERB
ap-7150	307	38	that	that	SCONJ
ap-7150	307	39	batchelor	batchelor	PROPN
ap-7150	307	40	’s	’s	PART
ap-7150	307	41	mean	mean	ADJ
ap-7150	307	42	-	-	PUNCT
ap-7150	307	43	square	square	NOUN
ap-7150	307	44	law	law	NOUN
ap-7150	307	45	is	be	AUX
ap-7150	307	46	not	not	PART
ap-7150	307	47	valid	valid	ADJ
ap-7150	307	48	for	for	ADP
ap-7150	307	49	the	the	DET
ap-7150	307	50	wall	wall	NOUN
ap-7150	307	51	-	-	PUNCT
ap-7150	307	52	driven	drive	VERB
ap-7150	307	53	semi	semi	ADJ
ap-7150	307	54	-	-	ADJ
ap-7150	307	55	circular	circular	ADJ
ap-7150	307	56	cavity	cavity	NOUN
ap-7150	307	57	flow	flow	NOUN
ap-7150	307	58	.	.	PUNCT
ap-7150	308	1	references	reference	NOUN
ap-7150	308	2	[	[	X
ap-7150	308	3	1	1	NUM
ap-7150	308	4	]	]	X
ap-7150	308	5	u.	u.	PROPN
ap-7150	308	6	ghia	ghia	PROPN
ap-7150	308	7	,	,	PUNCT
ap-7150	308	8	k.	k.	PROPN
ap-7150	308	9	ghia	ghia	PROPN
ap-7150	308	10	,	,	PUNCT
ap-7150	308	11	c.	c.	PROPN
ap-7150	308	12	shin	shin	PROPN
ap-7150	308	13	.	.	PUNCT
ap-7150	309	1	high	high	ADJ
ap-7150	309	2	-	-	PUNCT
ap-7150	309	3	re	re	NOUN
ap-7150	309	4	solutions	solution	NOUN
ap-7150	309	5	for	for	ADP
ap-7150	309	6	incompressible	incompressible	ADJ
ap-7150	309	7	flow	flow	NOUN
ap-7150	309	8	using	use	VERB
ap-7150	309	9	the	the	DET
ap-7150	309	10	navier	navier	NOUN
ap-7150	309	11	-	-	PUNCT
ap-7150	309	12	stokes	stoke	NOUN
ap-7150	309	13	equations	equation	NOUN
ap-7150	309	14	and	and	CCONJ
ap-7150	309	15	a	a	DET
ap-7150	309	16	multigrid	multigrid	NOUN
ap-7150	309	17	method	method	NOUN
ap-7150	309	18	.	.	PUNCT
ap-7150	310	1	journal	journal	NOUN
ap-7150	310	2	of	of	ADP
ap-7150	310	3	computational	computational	ADJ
ap-7150	310	4	physics	physics	NOUN
ap-7150	310	5	48(3):387–411	48(3):387–411	PROPN
ap-7150	310	6	,	,	PUNCT
ap-7150	310	7	1982	1982	NUM
ap-7150	310	8	.	.	PUNCT
ap-7150	311	1	https://doi.org/10.1016/0021-9991(82)90058-4	https://doi.org/10.1016/0021-9991(82)90058-4	NOUN
ap-7150	311	2	.	.	PUNCT
ap-7150	312	1	[	[	X
ap-7150	312	2	2	2	X
ap-7150	312	3	]	]	PUNCT
ap-7150	312	4	e.	e.	PROPN
ap-7150	312	5	erturk	erturk	PROPN
ap-7150	312	6	.	.	PUNCT
ap-7150	313	1	discussions	discussion	NOUN
ap-7150	313	2	on	on	ADP
ap-7150	313	3	driven	drive	VERB
ap-7150	313	4	cavity	cavity	NOUN
ap-7150	313	5	flow	flow	NOUN
ap-7150	313	6	.	.	PUNCT
ap-7150	314	1	international	international	ADJ
ap-7150	314	2	journal	journal	PROPN
ap-7150	314	3	for	for	ADP
ap-7150	314	4	numerical	numerical	ADJ
ap-7150	314	5	methods	method	NOUN
ap-7150	314	6	in	in	ADP
ap-7150	314	7	fluids	fluid	NOUN
ap-7150	314	8	523	523	NUM
ap-7150	314	9	https://doi.org/10.1016/0021-9991(82)90058-4	https://doi.org/10.1016/0021-9991(82)90058-4	PROPN
ap-7150	314	10	ercan	ercan	PROPN
ap-7150	314	11	erturk	erturk	PROPN
ap-7150	314	12	acta	acta	PROPN
ap-7150	314	13	polytechnica	polytechnica	PROPN
ap-7150	314	14	60(3):275–294	60(3):275–294	PROPN
ap-7150	314	15	,	,	PUNCT
ap-7150	314	16	2009	2009	NUM
ap-7150	314	17	.	.	PUNCT
ap-7150	315	1	https://doi.org/10.1002/fld.1887	https://doi.org/10.1002/fld.1887	VERB
ap-7150	315	2	.	.	PUNCT
ap-7150	316	1	[	[	X
ap-7150	316	2	3	3	X
ap-7150	316	3	]	]	X
ap-7150	316	4	b.	b.	PROPN
ap-7150	316	5	bastl	bastl	PROPN
ap-7150	316	6	,	,	PUNCT
ap-7150	316	7	m.	m.	NOUN
ap-7150	316	8	brandner	brandner	NOUN
ap-7150	316	9	,	,	PUNCT
ap-7150	316	10	j.	j.	PROPN
ap-7150	316	11	egermaier	egermaier	PROPN
ap-7150	316	12	,	,	PUNCT
ap-7150	316	13	et	et	PROPN
ap-7150	317	1	al	al	PROPN
ap-7150	317	2	.	.	PROPN
ap-7150	317	3	numerical	numerical	PROPN
ap-7150	317	4	simulation	simulation	PROPN
ap-7150	317	5	of	of	ADP
ap-7150	317	6	lid	lid	NOUN
ap-7150	317	7	-	-	PUNCT
ap-7150	317	8	driven	drive	VERB
ap-7150	317	9	cavity	cavity	NOUN
ap-7150	317	10	flow	flow	NOUN
ap-7150	317	11	by	by	ADP
ap-7150	317	12	isogeometric	isogeometric	ADJ
ap-7150	317	13	analysis	analysis	NOUN
ap-7150	317	14	.	.	PUNCT
ap-7150	318	1	acta	acta	PROPN
ap-7150	318	2	polytechnica	polytechnica	PROPN
ap-7150	318	3	61(si):33–48	61(si):33–48	NUM
ap-7150	318	4	,	,	PUNCT
ap-7150	318	5	2021	2021	NUM
ap-7150	318	6	.	.	PUNCT
ap-7150	319	1	https://doi.org/10.14311/ap.2021.61.0033	https://doi.org/10.14311/ap.2021.61.0033	X
ap-7150	319	2	.	.	PUNCT
ap-7150	320	1	[	[	X
ap-7150	320	2	4	4	NUM
ap-7150	320	3	]	]	X
ap-7150	320	4	i.	i.	NOUN
ap-7150	320	5	demirdžić	demirdžić	PROPN
ap-7150	320	6	,	,	PUNCT
ap-7150	320	7	ž	ž	PROPN
ap-7150	320	8	.	.	PROPN
ap-7150	320	9	lilek	lilek	PROPN
ap-7150	320	10	,	,	PUNCT
ap-7150	320	11	m.	m.	NOUN
ap-7150	320	12	perić	perić	PROPN
ap-7150	320	13	.	.	PUNCT
ap-7150	320	14	fluid	fluid	ADJ
ap-7150	320	15	flow	flow	NOUN
ap-7150	320	16	and	and	CCONJ
ap-7150	320	17	heat	heat	NOUN
ap-7150	320	18	transfer	transfer	NOUN
ap-7150	320	19	test	test	NOUN
ap-7150	320	20	problems	problem	NOUN
ap-7150	320	21	for	for	ADP
ap-7150	320	22	non	non	ADJ
ap-7150	320	23	-	-	ADJ
ap-7150	320	24	orthogonal	orthogonal	ADJ
ap-7150	320	25	grids	grid	NOUN
ap-7150	320	26	:	:	PUNCT
ap-7150	320	27	bench	bench	NOUN
ap-7150	320	28	-	-	PUNCT
ap-7150	320	29	mark	mark	NOUN
ap-7150	320	30	solutions	solution	NOUN
ap-7150	320	31	.	.	PUNCT
ap-7150	321	1	international	international	ADJ
ap-7150	321	2	journal	journal	PROPN
ap-7150	321	3	for	for	ADP
ap-7150	321	4	numerical	numerical	ADJ
ap-7150	321	5	methods	method	NOUN
ap-7150	321	6	in	in	ADP
ap-7150	321	7	fluids	fluid	NOUN
ap-7150	321	8	15(3):329–354	15(3):329–354	NOUN
ap-7150	321	9	,	,	PUNCT
ap-7150	321	10	1992	1992	NUM
ap-7150	321	11	.	.	PUNCT
ap-7150	322	1	https://doi.org/10.1002/fld.1650150306	https://doi.org/10.1002/fld.1650150306	ADV
ap-7150	322	2	.	.	PUNCT
ap-7150	323	1	[	[	X
ap-7150	323	2	5	5	X
ap-7150	323	3	]	]	PUNCT
ap-7150	323	4	e.	e.	PROPN
ap-7150	323	5	erturk	erturk	PROPN
ap-7150	323	6	,	,	PUNCT
ap-7150	323	7	b.	b.	PROPN
ap-7150	323	8	dursun	dursun	PROPN
ap-7150	323	9	.	.	PUNCT
ap-7150	324	1	numerical	numerical	ADJ
ap-7150	324	2	solutions	solution	NOUN
ap-7150	324	3	of	of	ADP
ap-7150	324	4	2	2	NUM
ap-7150	324	5	-	-	PUNCT
ap-7150	324	6	d	d	NOUN
ap-7150	324	7	steady	steady	ADJ
ap-7150	324	8	incompressible	incompressible	ADJ
ap-7150	324	9	flow	flow	NOUN
ap-7150	324	10	in	in	ADP
ap-7150	324	11	a	a	DET
ap-7150	324	12	driven	drive	VERB
ap-7150	324	13	skewed	skewed	ADJ
ap-7150	324	14	cavity	cavity	NOUN
ap-7150	324	15	.	.	PUNCT
ap-7150	325	1	zamm	zamm	PROPN
ap-7150	325	2	journal	journal	PROPN
ap-7150	325	3	of	of	ADP
ap-7150	325	4	applied	apply	VERB
ap-7150	325	5	mathematics	mathematic	NOUN
ap-7150	325	6	and	and	CCONJ
ap-7150	325	7	mechanics	mechanic	NOUN
ap-7150	325	8	87(5):377–392	87(5):377–392	NOUN
ap-7150	325	9	,	,	PUNCT
ap-7150	325	10	2007	2007	NUM
ap-7150	325	11	.	.	PUNCT
ap-7150	326	1	https://doi.org/10.1002/zamm.200610322	https://doi.org/10.1002/zamm.200610322	PROPN
ap-7150	326	2	.	.	PUNCT
ap-7150	327	1	[	[	X
ap-7150	327	2	6	6	NUM
ap-7150	327	3	]	]	X
ap-7150	327	4	c.	c.	PROPN
ap-7150	327	5	ribbens	ribbens	PROPN
ap-7150	327	6	,	,	PUNCT
ap-7150	327	7	l.	l.	PROPN
ap-7150	327	8	watson	watson	PROPN
ap-7150	327	9	,	,	PUNCT
ap-7150	327	10	c.-y	c.-y	NOUN
ap-7150	327	11	.	.	PUNCT
ap-7150	328	1	wang	wang	PROPN
ap-7150	328	2	.	.	PUNCT
ap-7150	329	1	steady	steady	ADJ
ap-7150	329	2	viscous	viscous	ADJ
ap-7150	329	3	flow	flow	NOUN
ap-7150	329	4	in	in	ADP
ap-7150	329	5	a	a	DET
ap-7150	329	6	triangular	triangular	ADJ
ap-7150	329	7	cavity	cavity	NOUN
ap-7150	329	8	.	.	PUNCT
ap-7150	330	1	journal	journal	NOUN
ap-7150	330	2	of	of	ADP
ap-7150	330	3	computational	computational	ADJ
ap-7150	330	4	physics	physics	NOUN
ap-7150	330	5	112(1):173–181	112(1):173–181	NUM
ap-7150	330	6	,	,	PUNCT
ap-7150	330	7	1994	1994	NUM
ap-7150	330	8	.	.	PUNCT
ap-7150	331	1	https://doi.org/10.1006/jcph.1994.1090	https://doi.org/10.1006/jcph.1994.1090	PROPN
ap-7150	331	2	.	.	PUNCT
ap-7150	332	1	[	[	X
ap-7150	332	2	7	7	X
ap-7150	332	3	]	]	X
ap-7150	332	4	p.	p.	PROPN
ap-7150	332	5	gaskell	gaskell	PROPN
ap-7150	332	6	,	,	PUNCT
ap-7150	332	7	h.	h.	PROPN
ap-7150	332	8	thompson	thompson	PROPN
ap-7150	332	9	,	,	PUNCT
ap-7150	332	10	m.	m.	NOUN
ap-7150	332	11	savage	savage	NOUN
ap-7150	332	12	.	.	PUNCT
ap-7150	333	1	a	a	DET
ap-7150	333	2	finite	finite	ADJ
ap-7150	333	3	element	element	NOUN
ap-7150	333	4	analysis	analysis	NOUN
ap-7150	333	5	of	of	ADP
ap-7150	333	6	steady	steady	ADJ
ap-7150	333	7	viscous	viscous	ADJ
ap-7150	333	8	flow	flow	NOUN
ap-7150	333	9	in	in	ADP
ap-7150	333	10	triangular	triangular	ADJ
ap-7150	333	11	cavities	cavity	NOUN
ap-7150	333	12	.	.	PUNCT
ap-7150	334	1	proceedings	proceeding	NOUN
ap-7150	334	2	of	of	ADP
ap-7150	334	3	the	the	DET
ap-7150	334	4	institution	institution	NOUN
ap-7150	334	5	of	of	ADP
ap-7150	334	6	mechanical	mechanical	ADJ
ap-7150	334	7	engineers	engineer	NOUN
ap-7150	334	8	,	,	PUNCT
ap-7150	334	9	part	part	NOUN
ap-7150	334	10	c	c	NOUN
ap-7150	334	11	:	:	PUNCT
ap-7150	334	12	journal	journal	NOUN
ap-7150	334	13	of	of	ADP
ap-7150	334	14	mechanical	mechanical	ADJ
ap-7150	334	15	engineering	engineering	NOUN
ap-7150	334	16	science	science	NOUN
ap-7150	334	17	213(3):263–276	213(3):263–276	NUM
ap-7150	334	18	,	,	PUNCT
ap-7150	334	19	1999	1999	NUM
ap-7150	334	20	.	.	PUNCT
ap-7150	335	1	https://doi.org/10.1243/0954406991522635	https://doi.org/10.1243/0954406991522635	X
ap-7150	335	2	.	.	PUNCT
ap-7150	336	1	[	[	X
ap-7150	336	2	8	8	NUM
ap-7150	336	3	]	]	X
ap-7150	336	4	e.	e.	PROPN
ap-7150	336	5	erturk	erturk	PROPN
ap-7150	336	6	,	,	PUNCT
ap-7150	336	7	o.	o.	PROPN
ap-7150	336	8	gokcol	gokcol	PROPN
ap-7150	336	9	.	.	PUNCT
ap-7150	337	1	fine	fine	ADJ
ap-7150	337	2	grid	grid	PROPN
ap-7150	337	3	numerical	numerical	ADJ
ap-7150	337	4	solutions	solution	NOUN
ap-7150	337	5	of	of	ADP
ap-7150	337	6	triangular	triangular	NOUN
ap-7150	337	7	cavity	cavity	NOUN
ap-7150	337	8	flow	flow	NOUN
ap-7150	337	9	.	.	PUNCT
ap-7150	338	1	the	the	DET
ap-7150	338	2	european	european	PROPN
ap-7150	338	3	physical	physical	PROPN
ap-7150	338	4	journal	journal	PROPN
ap-7150	338	5	applied	apply	VERB
ap-7150	338	6	physics	physics	NOUN
ap-7150	338	7	38(1):97–105	38(1):97–105	NUM
ap-7150	338	8	,	,	PUNCT
ap-7150	338	9	2007	2007	NUM
ap-7150	338	10	.	.	PUNCT
ap-7150	339	1	https://doi.org/10.1051/epjap:2007057	https://doi.org/10.1051/epjap:2007057	NOUN
ap-7150	339	2	.	.	PUNCT
ap-7150	340	1	[	[	X
ap-7150	340	2	9	9	NUM
ap-7150	340	3	]	]	X
ap-7150	340	4	w.	w.	NOUN
ap-7150	340	5	mcquain	mcquain	PROPN
ap-7150	340	6	,	,	PUNCT
ap-7150	340	7	c.	c.	PROPN
ap-7150	340	8	ribbens	ribben	VERB
ap-7150	340	9	,	,	PUNCT
ap-7150	340	10	c.-y	c.-y	NOUN
ap-7150	340	11	.	.	PUNCT
ap-7150	341	1	wang	wang	PROPN
ap-7150	341	2	,	,	PUNCT
ap-7150	341	3	l.	l.	PROPN
ap-7150	341	4	watson	watson	PROPN
ap-7150	341	5	.	.	PUNCT
ap-7150	342	1	steady	steady	ADJ
ap-7150	342	2	viscous	viscous	ADJ
ap-7150	342	3	flow	flow	NOUN
ap-7150	342	4	in	in	ADP
ap-7150	342	5	a	a	DET
ap-7150	342	6	trapezoidal	trapezoidal	ADJ
ap-7150	342	7	cavity	cavity	NOUN
ap-7150	342	8	.	.	PUNCT
ap-7150	343	1	computers	computer	NOUN
ap-7150	343	2	&	&	CCONJ
ap-7150	343	3	fluids	fluid	NOUN
ap-7150	343	4	23(4):613–626	23(4):613–626	PROPN
ap-7150	343	5	,	,	PUNCT
ap-7150	343	6	1994	1994	NUM
ap-7150	343	7	.	.	PUNCT
ap-7150	344	1	https://doi.org/10.1016/0045-7930(94)90055-8	https://doi.org/10.1016/0045-7930(94)90055-8	X
ap-7150	344	2	.	.	PUNCT
ap-7150	345	1	[	[	X
ap-7150	345	2	10	10	NUM
ap-7150	345	3	]	]	X
ap-7150	345	4	r.	r.	PROPN
ap-7150	345	5	glowinski	glowinski	PROPN
ap-7150	345	6	,	,	PUNCT
ap-7150	345	7	g.	g.	PROPN
ap-7150	345	8	guidoboni	guidoboni	PROPN
ap-7150	345	9	,	,	PUNCT
ap-7150	345	10	t.-w	t.-w	PROPN
ap-7150	345	11	.	.	PUNCT
ap-7150	346	1	pan	pan	PROPN
ap-7150	346	2	.	.	PROPN
ap-7150	346	3	wall	wall	PROPN
ap-7150	346	4	-	-	PUNCT
ap-7150	346	5	driven	drive	VERB
ap-7150	346	6	incompressible	incompressible	ADJ
ap-7150	346	7	viscous	viscous	ADJ
ap-7150	346	8	flow	flow	NOUN
ap-7150	346	9	in	in	ADP
ap-7150	346	10	a	a	DET
ap-7150	346	11	two	two	NUM
ap-7150	346	12	-	-	PUNCT
ap-7150	346	13	dimensional	dimensional	ADJ
ap-7150	346	14	semi	semi	ADJ
ap-7150	346	15	-	-	ADJ
ap-7150	346	16	circular	circular	ADJ
ap-7150	346	17	cavity	cavity	NOUN
ap-7150	346	18	.	.	PUNCT
ap-7150	347	1	journal	journal	NOUN
ap-7150	347	2	of	of	ADP
ap-7150	347	3	computational	computational	ADJ
ap-7150	347	4	physics	physic	NOUN
ap-7150	347	5	216(1):76–91	216(1):76–91	NUM
ap-7150	347	6	,	,	PUNCT
ap-7150	347	7	2006	2006	NUM
ap-7150	347	8	.	.	PUNCT
ap-7150	348	1	https://doi.org/10.1016/j.jcp.2005.11.021	https://doi.org/10.1016/j.jcp.2005.11.021	INTJ
ap-7150	348	2	.	.	PUNCT
ap-7150	349	1	[	[	X
ap-7150	349	2	11	11	NUM
ap-7150	349	3	]	]	X
ap-7150	349	4	f.	f.	PROPN
ap-7150	349	5	yang	yang	PROPN
ap-7150	349	6	,	,	PUNCT
ap-7150	349	7	x.	x.	PROPN
ap-7150	349	8	shi	shi	PROPN
ap-7150	349	9	,	,	PUNCT
ap-7150	349	10	x.	x.	PROPN
ap-7150	349	11	guo	guo	PROPN
ap-7150	349	12	,	,	PUNCT
ap-7150	349	13	q.	q.	PROPN
ap-7150	349	14	sai	sai	PROPN
ap-7150	349	15	.	.	PUNCT
ap-7150	350	1	mrt	mrt	PROPN
ap-7150	350	2	lattice	lattice	PROPN
ap-7150	350	3	boltzmann	boltzmann	PROPN
ap-7150	350	4	schemes	scheme	NOUN
ap-7150	350	5	for	for	ADP
ap-7150	350	6	high	high	ADJ
ap-7150	350	7	reynolds	reynold	NOUN
ap-7150	350	8	number	number	NOUN
ap-7150	350	9	flow	flow	NOUN
ap-7150	350	10	in	in	ADP
ap-7150	350	11	two	two	NUM
ap-7150	350	12	-	-	PUNCT
ap-7150	350	13	dimensional	dimensional	ADJ
ap-7150	350	14	lid	lid	NOUN
ap-7150	350	15	-	-	PUNCT
ap-7150	350	16	driven	drive	VERB
ap-7150	350	17	semi	semi	ADJ
ap-7150	350	18	-	-	ADJ
ap-7150	350	19	circular	circular	ADJ
ap-7150	350	20	cavity	cavity	NOUN
ap-7150	350	21	.	.	PUNCT
ap-7150	351	1	energy	energy	NOUN
ap-7150	351	2	procedia	procedia	PROPN
ap-7150	351	3	16:639–644	16:639–644	PROPN
ap-7150	351	4	,	,	PUNCT
ap-7150	351	5	2012	2012	NUM
ap-7150	351	6	.	.	PUNCT
ap-7150	352	1	https://doi.org/10.1016/j.egypro.2012.01.103	https://doi.org/10.1016/j.egypro.2012.01.103	NOUN
ap-7150	352	2	.	.	PUNCT
ap-7150	353	1	[	[	X
ap-7150	353	2	12	12	NUM
ap-7150	353	3	]	]	X
ap-7150	353	4	f.	f.	PROPN
ap-7150	353	5	yang	yang	PROPN
ap-7150	353	6	,	,	PUNCT
ap-7150	353	7	l.	l.	PROPN
ap-7150	353	8	liu	liu	PROPN
ap-7150	353	9	,	,	PUNCT
ap-7150	353	10	x.	x.	PROPN
ap-7150	353	11	shi	shi	PROPN
ap-7150	353	12	,	,	PUNCT
ap-7150	353	13	x.	x.	PROPN
ap-7150	353	14	guo	guo	PROPN
ap-7150	353	15	.	.	PUNCT
ap-7150	354	1	lattice	lattice	PROPN
ap-7150	354	2	bgk	bgk	PROPN
ap-7150	354	3	study	study	NOUN
ap-7150	354	4	on	on	ADP
ap-7150	354	5	flow	flow	NOUN
ap-7150	354	6	pattern	pattern	NOUN
ap-7150	354	7	in	in	ADP
ap-7150	354	8	two	two	NUM
ap-7150	354	9	-	-	PUNCT
ap-7150	354	10	dimensional	dimensional	ADJ
ap-7150	354	11	wall	wall	NOUN
ap-7150	354	12	-	-	PUNCT
ap-7150	354	13	driven	drive	VERB
ap-7150	354	14	semi	semi	ADJ
ap-7150	354	15	-	-	ADJ
ap-7150	354	16	circular	circular	ADJ
ap-7150	354	17	cavity	cavity	NOUN
ap-7150	354	18	.	.	PUNCT
ap-7150	355	1	advanced	advanced	ADJ
ap-7150	355	2	materials	material	NOUN
ap-7150	355	3	research	research	VERB
ap-7150	355	4	354	354	NUM
ap-7150	355	5	-	-	SYM
ap-7150	355	6	355:549–598	355:549–598	NUM
ap-7150	355	7	,	,	PUNCT
ap-7150	355	8	2011	2011	NUM
ap-7150	355	9	.	.	PUNCT
ap-7150	356	1	https://doi.org/10.4028/	https://doi.org/10.4028/	PROPN
ap-7150	356	2	www.scientific.net/amr.354-355.594	www.scientific.net/amr.354-355.594	PROPN
ap-7150	356	3	.	.	PUNCT
ap-7150	357	1	[	[	X
ap-7150	357	2	13	13	NUM
ap-7150	357	3	]	]	X
ap-7150	357	4	l.	l.	PROPN
ap-7150	357	5	ding	ding	PROPN
ap-7150	357	6	,	,	PUNCT
ap-7150	357	7	w.	w.	PROPN
ap-7150	357	8	shi	shi	PROPN
ap-7150	357	9	,	,	PUNCT
ap-7150	357	10	h.	h.	PROPN
ap-7150	357	11	luo	luo	PROPN
ap-7150	357	12	,	,	PUNCT
ap-7150	357	13	h.	h.	PROPN
ap-7150	357	14	zheng	zheng	PROPN
ap-7150	357	15	.	.	PUNCT
ap-7150	358	1	investigation	investigation	NOUN
ap-7150	358	2	of	of	ADP
ap-7150	358	3	incompressible	incompressible	ADJ
ap-7150	358	4	flow	flow	NOUN
ap-7150	358	5	within	within	ADP
ap-7150	358	6	½	½	NOUN
ap-7150	358	7	circular	circular	ADJ
ap-7150	358	8	cavity	cavity	NOUN
ap-7150	358	9	using	use	VERB
ap-7150	358	10	lattice	lattice	PROPN
ap-7150	358	11	boltzmann	boltzmann	PROPN
ap-7150	358	12	method	method	PROPN
ap-7150	358	13	.	.	PUNCT
ap-7150	359	1	international	international	ADJ
ap-7150	359	2	journal	journal	PROPN
ap-7150	359	3	for	for	ADP
ap-7150	359	4	numerical	numerical	ADJ
ap-7150	359	5	methods	method	NOUN
ap-7150	359	6	in	in	ADP
ap-7150	359	7	fluids	fluid	NOUN
ap-7150	359	8	60(8):919–936	60(8):919–936	PROPN
ap-7150	359	9	,	,	PUNCT
ap-7150	359	10	2009	2009	NUM
ap-7150	359	11	.	.	PUNCT
ap-7150	360	1	https://doi.org/10.1002/fld.1925	https://doi.org/10.1002/fld.1925	PROPN
ap-7150	360	2	.	.	PUNCT
ap-7150	361	1	[	[	X
ap-7150	361	2	14	14	NUM
ap-7150	361	3	]	]	X
ap-7150	361	4	p.	p.	PROPN
ap-7150	361	5	yu	yu	PROPN
ap-7150	361	6	,	,	PUNCT
ap-7150	361	7	z.	z.	PROPN
ap-7150	361	8	tian	tian	PROPN
ap-7150	361	9	.	.	PUNCT
ap-7150	362	1	a	a	DET
ap-7150	362	2	compact	compact	ADJ
ap-7150	362	3	scheme	scheme	NOUN
ap-7150	362	4	for	for	ADP
ap-7150	362	5	the	the	DET
ap-7150	362	6	streamfunction	streamfunction	NOUN
ap-7150	362	7	-	-	PUNCT
ap-7150	362	8	velocity	velocity	NOUN
ap-7150	362	9	formulation	formulation	NOUN
ap-7150	362	10	of	of	ADP
ap-7150	362	11	the	the	DET
ap-7150	362	12	2d	2d	NUM
ap-7150	362	13	steady	steady	ADJ
ap-7150	362	14	incompressible	incompressible	ADJ
ap-7150	362	15	navier	navier	NOUN
ap-7150	362	16	-	-	PUNCT
ap-7150	362	17	stokes	stoke	NOUN
ap-7150	362	18	equations	equation	NOUN
ap-7150	362	19	in	in	ADP
ap-7150	362	20	polar	polar	ADJ
ap-7150	362	21	coordinates	coordinate	NOUN
ap-7150	362	22	.	.	PUNCT
ap-7150	363	1	journal	journal	PROPN
ap-7150	363	2	of	of	ADP
ap-7150	363	3	scientific	scientific	ADJ
ap-7150	363	4	computing	computing	NOUN
ap-7150	363	5	56:165–189	56:165–189	PROPN
ap-7150	363	6	,	,	PUNCT
ap-7150	363	7	2013	2013	NUM
ap-7150	363	8	.	.	PUNCT
ap-7150	364	1	https://doi.org/10.1007/s10915-012-9667-7	https://doi.org/10.1007/s10915-012-9667-7	NOUN
ap-7150	364	2	.	.	PUNCT
ap-7150	365	1	[	[	X
ap-7150	365	2	15	15	NUM
ap-7150	365	3	]	]	X
ap-7150	365	4	h.	h.	PROPN
ap-7150	365	5	mercan	mercan	PROPN
ap-7150	365	6	,	,	PUNCT
ap-7150	365	7	k.	k.	PROPN
ap-7150	365	8	atalık	atalık	PROPN
ap-7150	365	9	.	.	PUNCT
ap-7150	366	1	vortex	vortex	NOUN
ap-7150	366	2	formation	formation	NOUN
ap-7150	366	3	in	in	ADP
ap-7150	366	4	lid	lid	NOUN
ap-7150	366	5	-	-	PUNCT
ap-7150	366	6	driven	drive	VERB
ap-7150	366	7	arc	arc	NOUN
ap-7150	366	8	-	-	PUNCT
ap-7150	366	9	shape	shape	NOUN
ap-7150	366	10	cavity	cavity	NOUN
ap-7150	366	11	flows	flow	VERB
ap-7150	366	12	at	at	ADP
ap-7150	366	13	high	high	ADJ
ap-7150	366	14	reynolds	reynold	NOUN
ap-7150	366	15	numbers	number	NOUN
ap-7150	366	16	.	.	PUNCT
ap-7150	367	1	european	european	PROPN
ap-7150	367	2	journal	journal	PROPN
ap-7150	367	3	of	of	ADP
ap-7150	367	4	mechanics	mechanics	PROPN
ap-7150	367	5	b	b	NOUN
ap-7150	367	6	/	/	SYM
ap-7150	367	7	fluids	fluid	NOUN
ap-7150	367	8	28(1):61–71	28(1):61–71	NUM
ap-7150	367	9	,	,	PUNCT
ap-7150	367	10	2009	2009	NUM
ap-7150	367	11	.	.	PUNCT
ap-7150	368	1	https	https	NOUN
ap-7150	368	2	:	:	PUNCT
ap-7150	368	3	//doi.org/10.1016	//doi.org/10.1016	PROPN
ap-7150	368	4	/	/	SYM
ap-7150	368	5	j.euromechflu.2008.02.001	j.euromechflu.2008.02.001	PROPN
ap-7150	368	6	.	.	PUNCT
ap-7150	369	1	[	[	X
ap-7150	369	2	16	16	NUM
ap-7150	369	3	]	]	X
ap-7150	369	4	c.	c.	PROPN
ap-7150	369	5	migeon	migeon	PROPN
ap-7150	369	6	,	,	PUNCT
ap-7150	369	7	a.	a.	NOUN
ap-7150	369	8	texier	texier	NOUN
ap-7150	369	9	,	,	PUNCT
ap-7150	369	10	g.	g.	PROPN
ap-7150	369	11	pineau	pineau	PROPN
ap-7150	369	12	.	.	PUNCT
ap-7150	370	1	effects	effect	NOUN
ap-7150	370	2	of	of	ADP
ap-7150	370	3	lid	lid	NOUN
ap-7150	370	4	-	-	PUNCT
ap-7150	370	5	driven	drive	VERB
ap-7150	370	6	cavity	cavity	NOUN
ap-7150	370	7	shape	shape	NOUN
ap-7150	370	8	on	on	ADP
ap-7150	370	9	the	the	DET
ap-7150	370	10	flow	flow	NOUN
ap-7150	370	11	establishment	establishment	NOUN
ap-7150	370	12	phase	phase	NOUN
ap-7150	370	13	.	.	PUNCT
ap-7150	371	1	journal	journal	NOUN
ap-7150	371	2	of	of	ADP
ap-7150	371	3	fluids	fluid	NOUN
ap-7150	371	4	and	and	CCONJ
ap-7150	371	5	structures	structure	NOUN
ap-7150	371	6	14(4):469–488	14(4):469–488	PROPN
ap-7150	371	7	,	,	PUNCT
ap-7150	371	8	2000	2000	NUM
ap-7150	371	9	.	.	PUNCT
ap-7150	372	1	https://doi.org/10.1006/jfls.1999.0282	https://doi.org/10.1006/jfls.1999.0282	PROPN
ap-7150	372	2	.	.	PUNCT
ap-7150	373	1	[	[	X
ap-7150	373	2	17	17	NUM
ap-7150	373	3	]	]	X
ap-7150	373	4	e.	e.	PROPN
ap-7150	373	5	erturk	erturk	PROPN
ap-7150	373	6	,	,	PUNCT
ap-7150	373	7	o.	o.	PROPN
ap-7150	373	8	gokcol	gokcol	PROPN
ap-7150	373	9	.	.	PUNCT
ap-7150	374	1	numerical	numerical	ADJ
ap-7150	374	2	solutions	solution	NOUN
ap-7150	374	3	of	of	ADP
ap-7150	374	4	steady	steady	ADJ
ap-7150	374	5	incompressible	incompressible	ADJ
ap-7150	374	6	flow	flow	NOUN
ap-7150	374	7	around	around	ADP
ap-7150	374	8	a	a	DET
ap-7150	374	9	circular	circular	ADJ
ap-7150	374	10	cylinder	cylinder	NOUN
ap-7150	374	11	up	up	ADP
ap-7150	374	12	to	to	ADP
ap-7150	374	13	reynolds	reynolds	PROPN
ap-7150	374	14	number	number	PROPN
ap-7150	374	15	500	500	NUM
ap-7150	374	16	.	.	PUNCT
ap-7150	375	1	international	international	ADJ
ap-7150	375	2	journal	journal	NOUN
ap-7150	375	3	of	of	ADP
ap-7150	375	4	mechanical	mechanical	ADJ
ap-7150	375	5	engineering	engineering	NOUN
ap-7150	375	6	and	and	CCONJ
ap-7150	375	7	technology	technology	NOUN
ap-7150	375	8	9(10):1368–1378	9(10):1368–1378	NOUN
ap-7150	375	9	,	,	PUNCT
ap-7150	375	10	2018	2018	NUM
ap-7150	375	11	.	.	PUNCT
ap-7150	376	1	[	[	X
ap-7150	376	2	18	18	NUM
ap-7150	376	3	]	]	X
ap-7150	376	4	c.	c.	PROPN
ap-7150	376	5	christov	christov	PROPN
ap-7150	376	6	,	,	PUNCT
ap-7150	376	7	r.	r.	PROPN
ap-7150	376	8	marinova	marinova	PROPN
ap-7150	376	9	,	,	PUNCT
ap-7150	376	10	t.	t.	PROPN
ap-7150	376	11	marinov	marinov	PROPN
ap-7150	376	12	.	.	PUNCT
ap-7150	377	1	identifying	identify	VERB
ap-7150	377	2	the	the	DET
ap-7150	377	3	stationary	stationary	ADJ
ap-7150	377	4	viscous	viscous	ADJ
ap-7150	377	5	flows	flow	NOUN
ap-7150	377	6	around	around	ADP
ap-7150	377	7	a	a	DET
ap-7150	377	8	circular	circular	ADJ
ap-7150	377	9	cylinder	cylinder	NOUN
ap-7150	377	10	at	at	ADP
ap-7150	377	11	high	high	ADJ
ap-7150	377	12	reynolds	reynold	NOUN
ap-7150	377	13	numbers	number	NOUN
ap-7150	377	14	.	.	PUNCT
ap-7150	378	1	lecture	lecture	NOUN
ap-7150	378	2	notes	note	NOUN
ap-7150	378	3	in	in	ADP
ap-7150	378	4	computer	computer	NOUN
ap-7150	378	5	science	science	NOUN
ap-7150	378	6	4818:175–183	4818:175–183	PROPN
ap-7150	378	7	,	,	PUNCT
ap-7150	378	8	2008	2008	NUM
ap-7150	378	9	.	.	PUNCT
ap-7150	379	1	https://doi.org/10.1007/978-3-540-78827-0_18	https://doi.org/10.1007/978-3-540-78827-0_18	NOUN
ap-7150	379	2	.	.	PUNCT
ap-7150	380	1	[	[	X
ap-7150	380	2	19	19	NUM
ap-7150	380	3	]	]	X
ap-7150	380	4	h.	h.	PROPN
ap-7150	380	5	schlichting	schlichting	PROPN
ap-7150	380	6	,	,	PUNCT
ap-7150	380	7	k.	k.	PROPN
ap-7150	380	8	gersten	gersten	PROPN
ap-7150	380	9	.	.	PUNCT
ap-7150	381	1	boundary	boundary	ADJ
ap-7150	381	2	layer	layer	NOUN
ap-7150	381	3	theory	theory	NOUN
ap-7150	381	4	(	(	PUNCT
ap-7150	381	5	8th	8th	ADJ
ap-7150	381	6	revised	revise	VERB
ap-7150	381	7	and	and	CCONJ
ap-7150	381	8	enlarged	enlarge	VERB
ap-7150	381	9	edn	edn	PROPN
ap-7150	381	10	)	)	PUNCT
ap-7150	381	11	.	.	PUNCT
ap-7150	382	1	springer	springer	NOUN
ap-7150	382	2	-	-	PUNCT
ap-7150	382	3	verlag	verlag	PROPN
ap-7150	382	4	berlin	berlin	PROPN
ap-7150	382	5	heidelberg	heidelberg	PROPN
ap-7150	382	6	,	,	PUNCT
ap-7150	382	7	new	new	PROPN
ap-7150	382	8	york	york	PROPN
ap-7150	382	9	,	,	PUNCT
ap-7150	382	10	usa	usa	PROPN
ap-7150	382	11	,	,	PUNCT
ap-7150	382	12	2000	2000	NUM
ap-7150	382	13	.	.	PUNCT
ap-7150	383	1	[	[	X
ap-7150	383	2	20	20	NUM
ap-7150	383	3	]	]	X
ap-7150	383	4	f.	f.	PROPN
ap-7150	383	5	smith	smith	PROPN
ap-7150	383	6	.	.	PUNCT
ap-7150	384	1	a	a	DET
ap-7150	384	2	structure	structure	NOUN
ap-7150	384	3	for	for	ADP
ap-7150	384	4	laminar	laminar	ADJ
ap-7150	384	5	flow	flow	NOUN
ap-7150	384	6	past	past	ADP
ap-7150	384	7	a	a	DET
ap-7150	384	8	bluff	bluff	NOUN
ap-7150	384	9	body	body	NOUN
ap-7150	384	10	at	at	ADP
ap-7150	384	11	high	high	ADJ
ap-7150	384	12	reynolds	reynold	NOUN
ap-7150	384	13	number	number	PROPN
ap-7150	384	14	.	.	PUNCT
ap-7150	385	1	journal	journal	NOUN
ap-7150	385	2	of	of	ADP
ap-7150	385	3	fluid	fluid	ADJ
ap-7150	385	4	mechanics	mechanic	NOUN
ap-7150	385	5	155:175–191	155:175–191	NUM
ap-7150	385	6	,	,	PUNCT
ap-7150	385	7	1985	1985	NUM
ap-7150	385	8	.	.	PUNCT
ap-7150	386	1	https://doi.org/10.1017/s0022112085001768	https://doi.org/10.1017/s0022112085001768	NUM
ap-7150	386	2	.	.	PUNCT
ap-7150	387	1	[	[	X
ap-7150	387	2	21	21	NUM
ap-7150	387	3	]	]	X
ap-7150	387	4	d.	d.	PROPN
ap-7150	387	5	peregrine	peregrine	PROPN
ap-7150	387	6	.	.	PUNCT
ap-7150	388	1	a	a	DET
ap-7150	388	2	note	note	NOUN
ap-7150	388	3	on	on	ADP
ap-7150	388	4	the	the	DET
ap-7150	388	5	steady	steady	ADJ
ap-7150	388	6	high	high	ADJ
ap-7150	388	7	-	-	PUNCT
ap-7150	388	8	reynolds	reynold	NOUN
ap-7150	388	9	-	-	PUNCT
ap-7150	388	10	number	number	NOUN
ap-7150	388	11	flow	flow	NOUN
ap-7150	388	12	about	about	ADP
ap-7150	388	13	a	a	DET
ap-7150	388	14	circular	circular	ADJ
ap-7150	388	15	cylinder	cylinder	NOUN
ap-7150	388	16	.	.	PUNCT
ap-7150	389	1	journal	journal	NOUN
ap-7150	389	2	of	of	ADP
ap-7150	389	3	fluid	fluid	ADJ
ap-7150	389	4	mechanics	mechanic	NOUN
ap-7150	389	5	157:493–500	157:493–500	NUM
ap-7150	389	6	,	,	PUNCT
ap-7150	389	7	1985	1985	NUM
ap-7150	389	8	.	.	PUNCT
ap-7150	390	1	https://doi.org/10.1017/s0022112085002464	https://doi.org/10.1017/s0022112085002464	NUM
ap-7150	390	2	.	.	PUNCT
ap-7150	391	1	[	[	X
ap-7150	391	2	22	22	NUM
ap-7150	391	3	]	]	PUNCT
ap-7150	391	4	b.	b.	PROPN
ap-7150	391	5	fornberg	fornberg	PROPN
ap-7150	391	6	.	.	PUNCT
ap-7150	392	1	a	a	DET
ap-7150	392	2	numerical	numerical	ADJ
ap-7150	392	3	study	study	NOUN
ap-7150	392	4	of	of	ADP
ap-7150	392	5	steady	steady	ADJ
ap-7150	392	6	viscous	viscous	ADJ
ap-7150	392	7	flow	flow	NOUN
ap-7150	392	8	past	past	ADP
ap-7150	392	9	a	a	DET
ap-7150	392	10	circular	circular	ADJ
ap-7150	392	11	cylinder	cylinder	NOUN
ap-7150	392	12	.	.	PUNCT
ap-7150	393	1	journal	journal	NOUN
ap-7150	393	2	of	of	ADP
ap-7150	393	3	fluid	fluid	ADJ
ap-7150	393	4	mechanics	mechanic	NOUN
ap-7150	393	5	98(4):819–855	98(4):819–855	NUM
ap-7150	393	6	,	,	PUNCT
ap-7150	393	7	1980	1980	NUM
ap-7150	393	8	.	.	PUNCT
ap-7150	394	1	https://doi.org/10.1017/s0022112080000419	https://doi.org/10.1017/s0022112080000419	X
ap-7150	394	2	.	.	PUNCT
ap-7150	395	1	[	[	X
ap-7150	395	2	23	23	NUM
ap-7150	395	3	]	]	PUNCT
ap-7150	395	4	b.	b.	PROPN
ap-7150	395	5	fornberg	fornberg	PROPN
ap-7150	395	6	.	.	PUNCT
ap-7150	396	1	steady	steady	ADJ
ap-7150	396	2	viscous	viscous	ADJ
ap-7150	396	3	flow	flow	NOUN
ap-7150	396	4	past	past	ADP
ap-7150	396	5	a	a	DET
ap-7150	396	6	circular	circular	ADJ
ap-7150	396	7	cylinder	cylinder	NOUN
ap-7150	396	8	up	up	ADP
ap-7150	396	9	to	to	ADP
ap-7150	396	10	reynolds	reynolds	PROPN
ap-7150	396	11	number	number	PROPN
ap-7150	396	12	600	600	NUM
ap-7150	396	13	.	.	PUNCT
ap-7150	396	14	journal	journal	NOUN
ap-7150	396	15	of	of	ADP
ap-7150	396	16	computational	computational	ADJ
ap-7150	396	17	physics	physic	NOUN
ap-7150	396	18	61(2):297–320	61(2):297–320	PROPN
ap-7150	396	19	,	,	PUNCT
ap-7150	396	20	1985	1985	NUM
ap-7150	396	21	.	.	PUNCT
ap-7150	397	1	https://doi.org/10.1016/0021-9991(85)90089-0	https://doi.org/10.1016/0021-9991(85)90089-0	PROPN
ap-7150	397	2	.	.	PUNCT
ap-7150	398	1	[	[	X
ap-7150	398	2	24	24	NUM
ap-7150	398	3	]	]	PUNCT
ap-7150	398	4	j.	j.	PROPN
ap-7150	398	5	son	son	PROPN
ap-7150	398	6	,	,	PUNCT
ap-7150	398	7	t.	t.	PROPN
ap-7150	398	8	hanratty	hanratty	PROPN
ap-7150	398	9	.	.	PUNCT
ap-7150	399	1	numerical	numerical	ADJ
ap-7150	399	2	solution	solution	NOUN
ap-7150	399	3	for	for	ADP
ap-7150	399	4	the	the	DET
ap-7150	399	5	flow	flow	NOUN
ap-7150	399	6	around	around	ADP
ap-7150	399	7	a	a	DET
ap-7150	399	8	cylinder	cylinder	NOUN
ap-7150	399	9	at	at	ADP
ap-7150	399	10	reynolds	reynolds	PROPN
ap-7150	399	11	numbers	number	NOUN
ap-7150	399	12	of	of	ADP
ap-7150	399	13	40	40	NUM
ap-7150	399	14	,	,	PUNCT
ap-7150	399	15	200	200	NUM
ap-7150	399	16	and	and	CCONJ
ap-7150	399	17	500	500	NUM
ap-7150	399	18	.	.	PUNCT
ap-7150	400	1	journal	journal	NOUN
ap-7150	400	2	of	of	ADP
ap-7150	400	3	fluid	fluid	ADJ
ap-7150	400	4	mechanics	mechanic	NOUN
ap-7150	400	5	35(2):369–386	35(2):369–386	NUM
ap-7150	400	6	,	,	PUNCT
ap-7150	400	7	1969	1969	NUM
ap-7150	400	8	.	.	PUNCT
ap-7150	401	1	https://doi.org/10.1017/s0022112069001169	https://doi.org/10.1017/s0022112069001169	PROPN
ap-7150	401	2	.	.	PUNCT
ap-7150	402	1	[	[	X
ap-7150	402	2	25	25	NUM
ap-7150	402	3	]	]	X
ap-7150	402	4	s.	s.	PROPN
ap-7150	402	5	tuann	tuann	PROPN
ap-7150	402	6	,	,	PUNCT
ap-7150	402	7	m.	m.	NOUN
ap-7150	402	8	olson	olson	PROPN
ap-7150	402	9	.	.	PUNCT
ap-7150	403	1	numerical	numerical	PROPN
ap-7150	403	2	studies	study	NOUN
ap-7150	403	3	of	of	ADP
ap-7150	403	4	the	the	DET
ap-7150	403	5	flow	flow	NOUN
ap-7150	403	6	around	around	ADP
ap-7150	403	7	a	a	DET
ap-7150	403	8	circular	circular	ADJ
ap-7150	403	9	cylinder	cylinder	NOUN
ap-7150	403	10	by	by	ADP
ap-7150	403	11	a	a	DET
ap-7150	403	12	finite	finite	ADJ
ap-7150	403	13	element	element	NOUN
ap-7150	403	14	method	method	NOUN
ap-7150	403	15	.	.	PUNCT
ap-7150	404	1	computers	computer	NOUN
ap-7150	404	2	and	and	CCONJ
ap-7150	404	3	fluids	fluid	NOUN
ap-7150	404	4	6(4):219–240	6(4):219–240	NOUN
ap-7150	404	5	,	,	PUNCT
ap-7150	404	6	1978	1978	NUM
ap-7150	404	7	.	.	PUNCT
ap-7150	405	1	https://doi.org/10.1016/0045-7930(78)90015-4	https://doi.org/10.1016/0045-7930(78)90015-4	PROPN
ap-7150	405	2	.	.	PUNCT
ap-7150	406	1	[	[	X
ap-7150	406	2	26	26	NUM
ap-7150	406	3	]	]	PUNCT
ap-7150	406	4	s.	s.	PROPN
ap-7150	406	5	dennis	dennis	PROPN
ap-7150	406	6	,	,	PUNCT
ap-7150	406	7	g.	g.	PROPN
ap-7150	406	8	chang	chang	PROPN
ap-7150	406	9	.	.	PUNCT
ap-7150	407	1	numerical	numerical	PROPN
ap-7150	407	2	solutions	solution	NOUN
ap-7150	407	3	for	for	ADP
ap-7150	407	4	steady	steady	ADJ
ap-7150	407	5	flow	flow	NOUN
ap-7150	407	6	past	past	ADP
ap-7150	407	7	a	a	DET
ap-7150	407	8	circular	circular	ADJ
ap-7150	407	9	cylinder	cylinder	NOUN
ap-7150	407	10	at	at	ADP
ap-7150	407	11	reynolds	reynolds	PROPN
ap-7150	407	12	numbers	number	NOUN
ap-7150	407	13	up	up	ADP
ap-7150	407	14	to	to	PART
ap-7150	407	15	100	100	NUM
ap-7150	407	16	.	.	PUNCT
ap-7150	408	1	journal	journal	NOUN
ap-7150	408	2	of	of	ADP
ap-7150	408	3	fluid	fluid	ADJ
ap-7150	408	4	mechanics	mechanic	NOUN
ap-7150	408	5	42(3):471–489	42(3):471–489	NOUN
ap-7150	408	6	,	,	PUNCT
ap-7150	408	7	1970	1970	NUM
ap-7150	408	8	.	.	PUNCT
ap-7150	409	1	https://doi.org/10.1017/s0022112070001428	https://doi.org/10.1017/s0022112070001428	NUM
ap-7150	409	2	.	.	PUNCT
ap-7150	410	1	[	[	X
ap-7150	410	2	27	27	NUM
ap-7150	410	3	]	]	X
ap-7150	410	4	c.	c.	PROPN
ap-7150	410	5	christov	christov	PROPN
ap-7150	410	6	,	,	PUNCT
ap-7150	410	7	r.	r.	PROPN
ap-7150	410	8	marinova	marinova	PROPN
ap-7150	410	9	,	,	PUNCT
ap-7150	410	10	t.	t.	PROPN
ap-7150	410	11	marinov	marinov	PROPN
ap-7150	410	12	.	.	PUNCT
ap-7150	410	13	does	do	AUX
ap-7150	410	14	the	the	DET
ap-7150	410	15	stationary	stationary	ADJ
ap-7150	410	16	viscous	viscous	ADJ
ap-7150	410	17	flow	flow	NOUN
ap-7150	410	18	around	around	ADP
ap-7150	410	19	a	a	DET
ap-7150	410	20	circular	circular	ADJ
ap-7150	410	21	cylinder	cylinder	NOUN
ap-7150	410	22	exist	exist	VERB
ap-7150	410	23	for	for	ADP
ap-7150	410	24	large	large	ADJ
ap-7150	410	25	reynolds	reynold	NOUN
ap-7150	410	26	numbers	number	NOUN
ap-7150	410	27	?	?	PUNCT
ap-7150	411	1	a	a	DET
ap-7150	411	2	numerical	numerical	ADJ
ap-7150	411	3	solution	solution	NOUN
ap-7150	411	4	via	via	ADP
ap-7150	411	5	variational	variational	ADJ
ap-7150	411	6	imbedding	imbedding	NOUN
ap-7150	411	7	.	.	PUNCT
ap-7150	412	1	journal	journal	PROPN
ap-7150	412	2	of	of	ADP
ap-7150	412	3	computational	computational	ADJ
ap-7150	412	4	and	and	CCONJ
ap-7150	412	5	applied	applied	ADJ
ap-7150	412	6	mathematics	mathematic	NOUN
ap-7150	412	7	226(2):205–217	226(2):205–217	NUM
ap-7150	412	8	,	,	PUNCT
ap-7150	412	9	2009	2009	NUM
ap-7150	412	10	.	.	PUNCT
ap-7150	413	1	https://doi.org/10.1016/j.cam.2008.08.022	https://doi.org/10.1016/j.cam.2008.08.022	NOUN
ap-7150	413	2	.	.	PUNCT
ap-7150	414	1	[	[	X
ap-7150	414	2	28	28	NUM
ap-7150	414	3	]	]	X
ap-7150	414	4	h.	h.	PROPN
ap-7150	414	5	lomax	lomax	PROPN
ap-7150	414	6	,	,	PUNCT
ap-7150	414	7	j.	j.	PROPN
ap-7150	414	8	steger	steger	PROPN
ap-7150	414	9	.	.	PUNCT
ap-7150	415	1	relaxation	relaxation	NOUN
ap-7150	415	2	methods	method	NOUN
ap-7150	415	3	in	in	ADP
ap-7150	415	4	fluid	fluid	ADJ
ap-7150	415	5	mechanics	mechanic	NOUN
ap-7150	415	6	.	.	PUNCT
ap-7150	416	1	annual	annual	ADJ
ap-7150	416	2	review	review	NOUN
ap-7150	416	3	of	of	ADP
ap-7150	416	4	fluid	fluid	ADJ
ap-7150	416	5	mechanics	mechanic	NOUN
ap-7150	416	6	7(1):63–88	7(1):63–88	NUM
ap-7150	416	7	,	,	PUNCT
ap-7150	416	8	1975	1975	NUM
ap-7150	416	9	.	.	PUNCT
ap-7150	417	1	https	https	NOUN
ap-7150	417	2	:	:	PUNCT
ap-7150	417	3	//doi.org/10.1146	//doi.org/10.1146	X
ap-7150	417	4	/	/	SYM
ap-7150	417	5	annurev.fl.07.010175.000431	annurev.fl.07.010175.000431	PROPN
ap-7150	417	6	.	.	PUNCT
ap-7150	418	1	524	524	NUM
ap-7150	418	2	https://doi.org/10.1002/fld.1887	https://doi.org/10.1002/fld.1887	ADJ
ap-7150	418	3	https://doi.org/10.14311/ap.2021.61.0033	https://doi.org/10.14311/ap.2021.61.0033	PROPN
ap-7150	418	4	https://doi.org/10.1002/fld.1650150306	https://doi.org/10.1002/fld.1650150306	PROPN
ap-7150	418	5	https://doi.org/10.1002/zamm.200610322	https://doi.org/10.1002/zamm.200610322	NOUN
ap-7150	418	6	https://doi.org/10.1006/jcph.1994.1090	https://doi.org/10.1006/jcph.1994.1090	PROPN
ap-7150	418	7	https://doi.org/10.1243/0954406991522635	https://doi.org/10.1243/0954406991522635	PROPN
ap-7150	418	8	https://doi.org/10.1051/epjap:2007057	https://doi.org/10.1051/epjap:2007057	PROPN
ap-7150	418	9	https://doi.org/10.1016/0045-7930(94)90055-8	https://doi.org/10.1016/0045-7930(94)90055-8	PROPN
ap-7150	418	10	https://doi.org/10.1016/j.jcp.2005.11.021	https://doi.org/10.1016/j.jcp.2005.11.021	PROPN
ap-7150	418	11	https://doi.org/10.1016/j.egypro.2012.01.103	https://doi.org/10.1016/j.egypro.2012.01.103	ADJ
ap-7150	418	12	https://doi.org/10.4028/www.scientific.net/amr.354-355.594	https://doi.org/10.4028/www.scientific.net/amr.354-355.594	PROPN
ap-7150	418	13	https://doi.org/10.4028/www.scientific.net/amr.354-355.594	https://doi.org/10.4028/www.scientific.net/amr.354-355.594	PROPN
ap-7150	418	14	https://doi.org/10.1002/fld.1925	https://doi.org/10.1002/fld.1925	PROPN
ap-7150	418	15	https://doi.org/10.1007/s10915-012-9667-7	https://doi.org/10.1007/s10915-012-9667-7	VERB
ap-7150	418	16	https://doi.org/10.1016/j.euromechflu.2008.02.001	https://doi.org/10.1016/j.euromechflu.2008.02.001	NUM
ap-7150	418	17	https://doi.org/10.1016/j.euromechflu.2008.02.001	https://doi.org/10.1016/j.euromechflu.2008.02.001	NUM
ap-7150	418	18	https://doi.org/10.1006/jfls.1999.0282	https://doi.org/10.1006/jfls.1999.0282	PROPN
ap-7150	418	19	https://doi.org/10.1007/978-3-540-78827-0_18	https://doi.org/10.1007/978-3-540-78827-0_18	PROPN
ap-7150	419	1	https://doi.org/10.1017/s0022112085001768	https://doi.org/10.1017/s0022112085001768	NUM
ap-7150	419	2	https://doi.org/10.1017/s0022112085002464	https://doi.org/10.1017/s0022112085002464	SYM
ap-7150	419	3	https://doi.org/10.1017/s0022112080000419	https://doi.org/10.1017/s0022112080000419	NUM
ap-7150	419	4	https://doi.org/10.1016/0021-9991(85)90089-0	https://doi.org/10.1016/0021-9991(85)90089-0	ADV
ap-7150	419	5	https://doi.org/10.1017/s0022112069001169	https://doi.org/10.1017/s0022112069001169	NUM
ap-7150	419	6	https://doi.org/10.1016/0045-7930(78)90015-4	https://doi.org/10.1016/0045-7930(78)90015-4	PROPN
ap-7150	419	7	https://doi.org/10.1017/s0022112070001428	https://doi.org/10.1017/s0022112070001428	NUM
ap-7150	419	8	https://doi.org/10.1016/j.cam.2008.08.022	https://doi.org/10.1016/j.cam.2008.08.022	NOUN
ap-7150	419	9	https://doi.org/10.1146/annurev.fl.07.010175.000431	https://doi.org/10.1146/annurev.fl.07.010175.000431	ADJ
ap-7150	419	10	https://doi.org/10.1146/annurev.fl.07.010175.000431	https://doi.org/10.1146/annurev.fl.07.010175.000431	ADJ
ap-7150	419	11	vol	vol	NOUN
ap-7150	419	12	.	.	PUNCT
ap-7150	419	13	61	61	NUM
ap-7150	419	14	no	no	NOUN
ap-7150	419	15	.	.	PUNCT
ap-7150	420	1	4/2021	4/2021	PROPN
ap-7150	420	2	wall	wall	NOUN
ap-7150	420	3	-	-	PUNCT
ap-7150	420	4	driven	drive	VERB
ap-7150	420	5	semi	semi	ADJ
ap-7150	420	6	-	-	ADJ
ap-7150	420	7	circular	circular	ADJ
ap-7150	420	8	cavity	cavity	NOUN
ap-7150	420	9	flow	flow	NOUN
ap-7150	420	10	[	[	X
ap-7150	420	11	29	29	NUM
ap-7150	420	12	]	]	X
ap-7150	420	13	g.	g.	PROPN
ap-7150	420	14	batchelor	batchelor	PROPN
ap-7150	420	15	.	.	PUNCT
ap-7150	421	1	on	on	ADP
ap-7150	421	2	steady	steady	ADJ
ap-7150	421	3	laminar	laminar	ADJ
ap-7150	421	4	flow	flow	NOUN
ap-7150	421	5	with	with	ADP
ap-7150	421	6	closed	closed	ADJ
ap-7150	421	7	streamlines	streamline	NOUN
ap-7150	421	8	at	at	ADP
ap-7150	421	9	large	large	ADJ
ap-7150	421	10	reynolds	reynold	NOUN
ap-7150	421	11	number	number	PROPN
ap-7150	421	12	.	.	PUNCT
ap-7150	422	1	journal	journal	NOUN
ap-7150	422	2	of	of	ADP
ap-7150	422	3	fluid	fluid	ADJ
ap-7150	422	4	mechanics	mechanic	NOUN
ap-7150	422	5	1(2):177–190	1(2):177–190	NUM
ap-7150	422	6	,	,	PUNCT
ap-7150	422	7	1956	1956	NUM
ap-7150	422	8	.	.	PUNCT
ap-7150	423	1	https://doi.org/10.1017/s0022112056000123	https://doi.org/10.1017/s0022112056000123	X
ap-7150	423	2	.	.	PUNCT
ap-7150	424	1	[	[	X
ap-7150	424	2	30	30	NUM
ap-7150	424	3	]	]	X
ap-7150	424	4	o.	o.	NOUN
ap-7150	424	5	burggraf	burggraf	PROPN
ap-7150	424	6	.	.	PUNCT
ap-7150	425	1	analytical	analytical	ADJ
ap-7150	425	2	and	and	CCONJ
ap-7150	425	3	numerical	numerical	ADJ
ap-7150	425	4	studies	study	NOUN
ap-7150	425	5	of	of	ADP
ap-7150	425	6	the	the	DET
ap-7150	425	7	structure	structure	NOUN
ap-7150	425	8	of	of	ADP
ap-7150	425	9	steady	steady	ADJ
ap-7150	425	10	separated	separate	VERB
ap-7150	425	11	flows	flow	NOUN
ap-7150	425	12	.	.	PUNCT
ap-7150	426	1	journal	journal	NOUN
ap-7150	426	2	of	of	ADP
ap-7150	426	3	fluid	fluid	ADJ
ap-7150	426	4	mechanics	mechanic	NOUN
ap-7150	426	5	24(1):113–151	24(1):113–151	NOUN
ap-7150	426	6	,	,	PUNCT
ap-7150	426	7	1966	1966	NUM
ap-7150	426	8	.	.	PUNCT
ap-7150	427	1	https://doi.org/10.1017/s0022112066000545	https://doi.org/10.1017/s0022112066000545	NUM
ap-7150	427	2	.	.	NOUN
ap-7150	427	3	525	525	NUM
ap-7150	427	4	https://doi.org/10.1017/s0022112056000123	https://doi.org/10.1017/s0022112056000123	PROPN
ap-7150	427	5	https://doi.org/10.1017/s0022112066000545	https://doi.org/10.1017/s0022112066000545	NUM
ap-7150	427	6	acta	acta	PROPN
ap-7150	427	7	polytechnica	polytechnica	PROPN
ap-7150	427	8	61(4):516–525	61(4):516–525	PROPN
ap-7150	427	9	,	,	PUNCT
ap-7150	427	10	2021	2021	NUM
ap-7150	427	11	1	1	NUM
ap-7150	427	12	introduction	introduction	NOUN
ap-7150	427	13	2	2	NUM
ap-7150	427	14	numerical	numerical	ADJ
ap-7150	427	15	method	method	NOUN
ap-7150	427	16	2.1	2.1	NUM
ap-7150	427	17	numerical	numerical	ADJ
ap-7150	427	18	mesh	mesh	NOUN
ap-7150	427	19	2.2	2.2	NUM
ap-7150	427	20	governing	govern	VERB
ap-7150	427	21	equations	equation	NOUN
ap-7150	427	22	in	in	ADP
ap-7150	427	23	the	the	DET
ap-7150	427	24	computational	computational	ADJ
ap-7150	427	25	domain	domain	NOUN
ap-7150	427	26	2.3	2.3	NUM
ap-7150	427	27	mapping	mapping	NOUN
ap-7150	427	28	transformation	transformation	NOUN
ap-7150	427	29	metrics	metric	NOUN
ap-7150	427	30	2.4	2.4	NUM
ap-7150	427	31	wall	wall	NOUN
ap-7150	427	32	boundary	boundary	ADJ
ap-7150	427	33	conditions	condition	NOUN
ap-7150	427	34	3	3	NUM
ap-7150	427	35	results	result	NOUN
ap-7150	427	36	and	and	CCONJ
ap-7150	427	37	discussion	discussion	NOUN
ap-7150	427	38	4	4	NUM
ap-7150	427	39	conclusion	conclusion	NOUN
ap-7150	427	40	references	reference	NOUN