id	sid	tid	token	lemma	pos
ispiv-158	1	1	14th	14th	ADJ
ispiv-158	1	2	international	international	ADJ
ispiv-158	1	3	symposium	symposium	NOUN
ispiv-158	1	4	on	on	ADP
ispiv-158	1	5	particle	particle	NOUN
ispiv-158	1	6	image	image	NOUN
ispiv-158	1	7	velocimetry	velocimetry	NOUN
ispiv-158	1	8	–	–	PUNCT
ispiv-158	1	9	ispiv2021	ispiv2021	PROPN
ispiv-158	1	10	august	august	PROPN
ispiv-158	1	11	1–5	1–5	NUM
ispiv-158	1	12	,	,	PUNCT
ispiv-158	1	13	2021	2021	NUM
ispiv-158	1	14	1	1	NUM
ispiv-158	1	15	eulerian	eulerian	ADJ
ispiv-158	1	16	time	time	NOUN
ispiv-158	1	17	-	-	PUNCT
ispiv-158	1	18	marching	marching	NOUN
ispiv-158	1	19	in	in	ADP
ispiv-158	1	20	vortex	vortex	NOUN
ispiv-158	1	21	-	-	PUNCT
ispiv-158	1	22	in	in	ADP
ispiv-158	1	23	-	-	PUNCT
ispiv-158	1	24	cell	cell	NOUN
ispiv-158	1	25	(	(	PUNCT
ispiv-158	1	26	vic	vic	NOUN
ispiv-158	1	27	)	)	PUNCT
ispiv-158	1	28	method	method	NOUN
ispiv-158	1	29	:	:	PUNCT
ispiv-158	1	30	reconstruction	reconstruction	NOUN
ispiv-158	1	31	of	of	ADP
ispiv-158	1	32	multiple	multiple	ADJ
ispiv-158	1	33	time	time	NOUN
ispiv-158	1	34	-	-	PUNCT
ispiv-158	1	35	steps	step	NOUN
ispiv-158	1	36	from	from	ADP
ispiv-158	1	37	a	a	DET
ispiv-158	1	38	single	single	ADJ
ispiv-158	1	39	vorticity	vorticity	NOUN
ispiv-158	1	40	volume	volume	NOUN
ispiv-158	1	41	and	and	CCONJ
ispiv-158	1	42	time	time	NOUN
ispiv-158	1	43	-	-	PUNCT
ispiv-158	1	44	resolved	resolve	VERB
ispiv-158	1	45	boundary	boundary	ADJ
ispiv-158	1	46	condition	condition	NOUN
ispiv-158	1	47	y.	y.	PROPN
ispiv-158	1	48	j.	j.	PROPN
ispiv-158	1	49	jeon	jeon	PROPN
ispiv-158	1	50	lavision	lavision	PROPN
ispiv-158	1	51	gmbh	gmbh	PROPN
ispiv-158	1	52	,	,	PUNCT
ispiv-158	1	53	göttingen	göttingen	PROPN
ispiv-158	1	54	,	,	PUNCT
ispiv-158	1	55	germany	germany	PROPN
ispiv-158	1	56	yjeon@lavision.de	yjeon@lavision.de	PROPN
ispiv-158	1	57	abstract	abstract	ADJ
ispiv-158	1	58	a	a	DET
ispiv-158	1	59	data	data	NOUN
ispiv-158	1	60	assimilation	assimilation	NOUN
ispiv-158	1	61	approach	approach	NOUN
ispiv-158	1	62	is	be	AUX
ispiv-158	1	63	proposed	propose	VERB
ispiv-158	1	64	to	to	PART
ispiv-158	1	65	enhance	enhance	VERB
ispiv-158	1	66	the	the	DET
ispiv-158	1	67	dynamic	dynamic	ADJ
ispiv-158	1	68	range	range	NOUN
ispiv-158	1	69	of	of	ADP
ispiv-158	1	70	the	the	DET
ispiv-158	1	71	vortex	vortex	NOUN
ispiv-158	1	72	-	-	PUNCT
ispiv-158	1	73	in	in	ADP
ispiv-158	1	74	-	-	PUNCT
ispiv-158	1	75	cell	cell	NOUN
ispiv-158	1	76	(	(	PUNCT
ispiv-158	1	77	vic	vic	NOUN
ispiv-158	1	78	)	)	PUNCT
ispiv-158	1	79	method	method	NOUN
ispiv-158	1	80	by	by	ADP
ispiv-158	1	81	simulating	simulate	VERB
ispiv-158	1	82	futureand	futureand	NOUN
ispiv-158	1	83	pastinstances	pastinstance	NOUN
ispiv-158	1	84	.	.	PUNCT
ispiv-158	2	1	the	the	DET
ispiv-158	2	2	vic	vic	PROPN
ispiv-158	2	3	method	method	NOUN
ispiv-158	2	4	mainly	mainly	ADV
ispiv-158	2	5	considers	consider	VERB
ispiv-158	2	6	a	a	DET
ispiv-158	2	7	vorticity	vorticity	NOUN
ispiv-158	2	8	field	field	NOUN
ispiv-158	2	9	from	from	ADP
ispiv-158	2	10	which	which	PRON
ispiv-158	2	11	velocity	velocity	NOUN
ispiv-158	2	12	and	and	CCONJ
ispiv-158	2	13	acceleration	acceleration	NOUN
ispiv-158	2	14	fields	field	NOUN
ispiv-158	2	15	are	be	AUX
ispiv-158	2	16	calculated	calculate	VERB
ispiv-158	2	17	through	through	ADP
ispiv-158	2	18	poisson	poisson	PROPN
ispiv-158	2	19	equations	equation	NOUN
ispiv-158	2	20	,	,	PUNCT
ispiv-158	2	21	respectively	respectively	ADV
ispiv-158	2	22	bounded	bound	VERB
ispiv-158	2	23	by	by	ADP
ispiv-158	2	24	prescribed	prescribed	ADJ
ispiv-158	2	25	conditions	condition	NOUN
ispiv-158	2	26	.	.	PUNCT
ispiv-158	3	1	in	in	ADP
ispiv-158	3	2	addition	addition	NOUN
ispiv-158	3	3	,	,	PUNCT
ispiv-158	3	4	a	a	DET
ispiv-158	3	5	vorticity	vorticity	NOUN
ispiv-158	3	6	time	time	NOUN
ispiv-158	3	7	derivative	derivative	NOUN
ispiv-158	3	8	is	be	AUX
ispiv-158	3	9	also	also	ADV
ispiv-158	3	10	available	available	ADJ
ispiv-158	3	11	by	by	ADP
ispiv-158	3	12	the	the	DET
ispiv-158	3	13	vorticity	vorticity	NOUN
ispiv-158	3	14	transport	transport	NOUN
ispiv-158	3	15	equation	equation	NOUN
ispiv-158	3	16	.	.	PUNCT
ispiv-158	4	1	the	the	DET
ispiv-158	4	2	proposed	propose	VERB
ispiv-158	4	3	approach	approach	NOUN
ispiv-158	4	4	focuses	focus	VERB
ispiv-158	4	5	on	on	ADP
ispiv-158	4	6	such	such	ADJ
ispiv-158	4	7	already	already	ADV
ispiv-158	4	8	available	available	ADJ
ispiv-158	4	9	data	datum	NOUN
ispiv-158	4	10	,	,	PUNCT
ispiv-158	4	11	i.e.	i.e.	X
ispiv-158	4	12	,	,	PUNCT
ispiv-158	4	13	the	the	DET
ispiv-158	4	14	vorticity	vorticity	NOUN
ispiv-158	4	15	and	and	CCONJ
ispiv-158	4	16	its	its	PRON
ispiv-158	4	17	time	time	NOUN
ispiv-158	4	18	derivative	derivative	ADJ
ispiv-158	4	19	fields	field	NOUN
ispiv-158	4	20	,	,	PUNCT
ispiv-158	4	21	for	for	ADP
ispiv-158	4	22	simulating	simulate	VERB
ispiv-158	4	23	additional	additional	ADJ
ispiv-158	4	24	instances	instance	NOUN
ispiv-158	4	25	and	and	CCONJ
ispiv-158	4	26	getting	get	VERB
ispiv-158	4	27	feedbacks	feedback	NOUN
ispiv-158	4	28	from	from	ADP
ispiv-158	4	29	the	the	DET
ispiv-158	4	30	corresponding	corresponding	ADJ
ispiv-158	4	31	measurement	measurement	NOUN
ispiv-158	4	32	instances	instance	NOUN
ispiv-158	4	33	,	,	PUNCT
ispiv-158	4	34	e.g.	e.g.	ADV
ispiv-158	4	35	,	,	PUNCT
ispiv-158	4	36	particle	particle	NOUN
ispiv-158	4	37	image	image	NOUN
ispiv-158	4	38	velocimetry	velocimetry	NOUN
ispiv-158	4	39	(	(	PUNCT
ispiv-158	4	40	ptv	ptv	INTJ
ispiv-158	4	41	)	)	PUNCT
ispiv-158	4	42	.	.	PUNCT
ispiv-158	5	1	however	however	ADV
ispiv-158	5	2	,	,	PUNCT
ispiv-158	5	3	the	the	DET
ispiv-158	5	4	self	self	NOUN
ispiv-158	5	5	-	-	PUNCT
ispiv-158	5	6	simulated	simulate	VERB
ispiv-158	5	7	flow	flow	NOUN
ispiv-158	5	8	field	field	NOUN
ispiv-158	5	9	can	can	AUX
ispiv-158	5	10	be	be	AUX
ispiv-158	5	11	depleted	deplete	VERB
ispiv-158	5	12	due	due	ADP
ispiv-158	5	13	to	to	ADP
ispiv-158	5	14	a	a	DET
ispiv-158	5	15	lack	lack	NOUN
ispiv-158	5	16	of	of	ADP
ispiv-158	5	17	incoming	incoming	ADJ
ispiv-158	5	18	information	information	NOUN
ispiv-158	5	19	,	,	PUNCT
ispiv-158	5	20	which	which	PRON
ispiv-158	5	21	is	be	AUX
ispiv-158	5	22	out	out	ADP
ispiv-158	5	23	of	of	ADP
ispiv-158	5	24	the	the	DET
ispiv-158	5	25	reconstruction	reconstruction	NOUN
ispiv-158	5	26	domain	domain	NOUN
ispiv-158	5	27	at	at	ADP
ispiv-158	5	28	the	the	DET
ispiv-158	5	29	source	source	NOUN
ispiv-158	5	30	instance	instance	NOUN
ispiv-158	5	31	.	.	PUNCT
ispiv-158	6	1	to	to	PART
ispiv-158	6	2	supply	supply	VERB
ispiv-158	6	3	that	that	DET
ispiv-158	6	4	kind	kind	NOUN
ispiv-158	6	5	of	of	ADP
ispiv-158	6	6	information	information	NOUN
ispiv-158	6	7	and	and	CCONJ
ispiv-158	6	8	thus	thus	ADV
ispiv-158	6	9	sustain	sustain	VERB
ispiv-158	6	10	the	the	DET
ispiv-158	6	11	simulation	simulation	NOUN
ispiv-158	6	12	,	,	PUNCT
ispiv-158	6	13	boundary	boundary	ADJ
ispiv-158	6	14	conditions	condition	NOUN
ispiv-158	6	15	of	of	ADP
ispiv-158	6	16	the	the	DET
ispiv-158	6	17	simulated	simulate	VERB
ispiv-158	6	18	instances	instance	NOUN
ispiv-158	6	19	are	be	AUX
ispiv-158	6	20	required	require	VERB
ispiv-158	6	21	and	and	CCONJ
ispiv-158	6	22	considered	consider	VERB
ispiv-158	6	23	.	.	PUNCT
ispiv-158	7	1	as	as	ADP
ispiv-158	7	2	a	a	DET
ispiv-158	7	3	result	result	NOUN
ispiv-158	7	4	,	,	PUNCT
ispiv-158	7	5	the	the	DET
ispiv-158	7	6	proposed	propose	VERB
ispiv-158	7	7	approach	approach	NOUN
ispiv-158	7	8	can	can	AUX
ispiv-158	7	9	gather	gather	VERB
ispiv-158	7	10	corrections	correction	NOUN
ispiv-158	7	11	from	from	ADP
ispiv-158	7	12	multiple	multiple	ADJ
ispiv-158	7	13	ptv	ptv	PROPN
ispiv-158	7	14	instances	instance	NOUN
ispiv-158	7	15	while	while	SCONJ
ispiv-158	7	16	optimizing	optimize	VERB
ispiv-158	7	17	a	a	DET
ispiv-158	7	18	single	single	ADJ
ispiv-158	7	19	vorticity	vorticity	NOUN
ispiv-158	7	20	volume	volume	NOUN
ispiv-158	7	21	and	and	CCONJ
ispiv-158	7	22	time	time	NOUN
ispiv-158	7	23	-	-	PUNCT
ispiv-158	7	24	resolved	resolve	VERB
ispiv-158	7	25	boundary	boundary	ADJ
ispiv-158	7	26	conditions	condition	NOUN
ispiv-158	7	27	.	.	PUNCT
ispiv-158	8	1	since	since	SCONJ
ispiv-158	8	2	the	the	DET
ispiv-158	8	3	boundary	boundary	ADJ
ispiv-158	8	4	grid	grid	NOUN
ispiv-158	8	5	points	point	NOUN
ispiv-158	8	6	are	be	AUX
ispiv-158	8	7	much	much	ADV
ispiv-158	8	8	smaller	small	ADJ
ispiv-158	8	9	in	in	ADP
ispiv-158	8	10	number	number	NOUN
ispiv-158	8	11	than	than	ADP
ispiv-158	8	12	that	that	PRON
ispiv-158	8	13	of	of	ADP
ispiv-158	8	14	the	the	DET
ispiv-158	8	15	whole	whole	ADJ
ispiv-158	8	16	volume	volume	NOUN
ispiv-158	8	17	,	,	PUNCT
ispiv-158	8	18	one	one	PRON
ispiv-158	8	19	can	can	AUX
ispiv-158	8	20	expect	expect	VERB
ispiv-158	8	21	an	an	DET
ispiv-158	8	22	increased	increase	VERB
ispiv-158	8	23	dynamic	dynamic	ADJ
ispiv-158	8	24	range	range	NOUN
ispiv-158	8	25	.	.	PUNCT
ispiv-158	9	1	a	a	DET
ispiv-158	9	2	former	former	ADJ
ispiv-158	9	3	work	work	NOUN
ispiv-158	9	4	,	,	PUNCT
ispiv-158	9	5	vic	vic	NOUN
ispiv-158	9	6	#	#	NOUN
ispiv-158	9	7	(	(	PUNCT
ispiv-158	9	8	jeon	jeon	PROPN
ispiv-158	9	9	et	et	PROPN
ispiv-158	9	10	al	al	PROPN
ispiv-158	9	11	.	.	PROPN
ispiv-158	9	12	2018	2018	NUM
ispiv-158	9	13	)	)	PUNCT
ispiv-158	9	14	,	,	PUNCT
ispiv-158	9	15	which	which	PRON
ispiv-158	9	16	supplements	supplement	VERB
ispiv-158	9	17	additional	additional	ADJ
ispiv-158	9	18	constraints	constraint	NOUN
ispiv-158	9	19	and	and	CCONJ
ispiv-158	9	20	coarse	coarse	NOUN
ispiv-158	9	21	-	-	PUNCT
ispiv-158	9	22	grid	grid	NOUN
ispiv-158	9	23	approximation	approximation	NOUN
ispiv-158	9	24	to	to	ADP
ispiv-158	9	25	vic+	vic+	PROPN
ispiv-158	9	26	(	(	PUNCT
ispiv-158	9	27	schneiders	schneider	NOUN
ispiv-158	9	28	and	and	CCONJ
ispiv-158	9	29	scarano	scarano	ADJ
ispiv-158	9	30	2016	2016	NUM
ispiv-158	9	31	)	)	PUNCT
ispiv-158	9	32	,	,	PUNCT
ispiv-158	9	33	is	be	AUX
ispiv-158	9	34	selected	select	VERB
ispiv-158	9	35	as	as	ADP
ispiv-158	9	36	a	a	DET
ispiv-158	9	37	3d	3d	NUM
ispiv-158	9	38	method	method	NOUN
ispiv-158	9	39	to	to	PART
ispiv-158	9	40	which	which	PRON
ispiv-158	9	41	the	the	DET
ispiv-158	9	42	proposed	propose	VERB
ispiv-158	9	43	4d	4d	NUM
ispiv-158	9	44	approach	approach	NOUN
ispiv-158	9	45	is	be	AUX
ispiv-158	9	46	applied	apply	VERB
ispiv-158	9	47	.	.	PUNCT
ispiv-158	10	1	two	two	NUM
ispiv-158	10	2	explicit	explicit	ADJ
ispiv-158	10	3	eulerian	eulerian	ADJ
ispiv-158	10	4	time	time	NOUN
ispiv-158	10	5	-	-	PUNCT
ispiv-158	10	6	marching	marching	NOUN
ispiv-158	10	7	methods	method	NOUN
ispiv-158	10	8	are	be	AUX
ispiv-158	10	9	tested	test	VERB
ispiv-158	10	10	as	as	ADP
ispiv-158	10	11	a	a	DET
ispiv-158	10	12	simulation	simulation	NOUN
ispiv-158	10	13	scheme	scheme	NOUN
ispiv-158	10	14	:	:	PUNCT
ispiv-158	10	15	the	the	DET
ispiv-158	10	16	forward	forward	PROPN
ispiv-158	10	17	euler	euler	NOUN
ispiv-158	10	18	and	and	CCONJ
ispiv-158	10	19	the	the	DET
ispiv-158	10	20	runge	runge	NOUN
ispiv-158	10	21	-	-	PUNCT
ispiv-158	10	22	kutta	kutta	NOUN
ispiv-158	10	23	methods	method	NOUN
ispiv-158	10	24	.	.	PUNCT
ispiv-158	11	1	a	a	DET
ispiv-158	11	2	numerical	numerical	ADJ
ispiv-158	11	3	assessment	assessment	NOUN
ispiv-158	11	4	is	be	AUX
ispiv-158	11	5	conducted	conduct	VERB
ispiv-158	11	6	using	use	VERB
ispiv-158	11	7	the	the	DET
ispiv-158	11	8	synthetic	synthetic	ADJ
ispiv-158	11	9	ptv	ptv	NOUN
ispiv-158	11	10	data	datum	NOUN
ispiv-158	11	11	,	,	PUNCT
ispiv-158	11	12	whose	whose	DET
ispiv-158	11	13	ground	ground	NOUN
ispiv-158	11	14	truth	truth	NOUN
ispiv-158	11	15	is	be	AUX
ispiv-158	11	16	known	know	VERB
ispiv-158	11	17	,	,	PUNCT
ispiv-158	11	18	and	and	CCONJ
ispiv-158	11	19	returns	return	VERB
ispiv-158	11	20	reconstruction	reconstruction	NOUN
ispiv-158	11	21	qualities	quality	NOUN
ispiv-158	11	22	based	base	VERB
ispiv-158	11	23	on	on	ADP
ispiv-158	11	24	the	the	DET
ispiv-158	11	25	velocity	velocity	NOUN
ispiv-158	11	26	and	and	CCONJ
ispiv-158	11	27	the	the	DET
ispiv-158	11	28	identified	identify	VERB
ispiv-158	11	29	vortical	vortical	ADJ
ispiv-158	11	30	structures	structure	NOUN
ispiv-158	11	31	.	.	PUNCT
ispiv-158	12	1	other	other	ADJ
ispiv-158	12	2	practical	practical	ADJ
ispiv-158	12	3	features	feature	NOUN
ispiv-158	12	4	regarding	regard	VERB
ispiv-158	12	5	convergence	convergence	NOUN
ispiv-158	12	6	and	and	CCONJ
ispiv-158	12	7	computation	computation	NOUN
ispiv-158	12	8	complexity	complexity	NOUN
ispiv-158	12	9	are	be	AUX
ispiv-158	12	10	also	also	ADV
ispiv-158	12	11	reported	report	VERB
ispiv-158	12	12	.	.	PUNCT
ispiv-158	13	1	to	to	PART
ispiv-158	13	2	visually	visually	ADV
ispiv-158	13	3	verify	verify	VERB
ispiv-158	13	4	an	an	DET
ispiv-158	13	5	improvement	improvement	NOUN
ispiv-158	13	6	by	by	ADP
ispiv-158	13	7	the	the	DET
ispiv-158	13	8	proposed	propose	VERB
ispiv-158	13	9	approach	approach	NOUN
ispiv-158	13	10	,	,	PUNCT
ispiv-158	13	11	two	two	NUM
ispiv-158	13	12	kinds	kind	NOUN
ispiv-158	13	13	of	of	ADP
ispiv-158	13	14	time	time	NOUN
ispiv-158	13	15	-	-	PUNCT
ispiv-158	13	16	resolved	resolve	VERB
ispiv-158	13	17	shake	shake	NOUN
ispiv-158	13	18	-	-	PUNCT
ispiv-158	13	19	the	the	DET
ispiv-158	13	20	-	-	PUNCT
ispiv-158	13	21	box	box	NOUN
ispiv-158	13	22	(	(	PUNCT
ispiv-158	13	23	stb	stb	NOUN
ispiv-158	13	24	)	)	PUNCT
ispiv-158	13	25	measurements	measurement	NOUN
ispiv-158	13	26	,	,	PUNCT
ispiv-158	13	27	which	which	PRON
ispiv-158	13	28	were	be	AUX
ispiv-158	13	29	acquired	acquire	VERB
ispiv-158	13	30	in	in	ADP
ispiv-158	13	31	high	high	ADJ
ispiv-158	13	32	-	-	PUNCT
ispiv-158	13	33	speed	speed	NOUN
ispiv-158	13	34	systems	system	NOUN
ispiv-158	13	35	,	,	PUNCT
ispiv-158	13	36	are	be	AUX
ispiv-158	13	37	processed	process	VERB
ispiv-158	13	38	and	and	CCONJ
ispiv-158	13	39	discussed	discuss	VERB
ispiv-158	13	40	.	.	PUNCT
ispiv-158	14	1	1	1	NUM
ispiv-158	14	2	introduction	introduction	NOUN
ispiv-158	14	3	three	three	NUM
ispiv-158	14	4	-	-	PUNCT
ispiv-158	14	5	dimensional	dimensional	ADJ
ispiv-158	14	6	particle	particle	NOUN
ispiv-158	14	7	trajectory	trajectory	NOUN
ispiv-158	14	8	velocimetry	velocimetry	NOUN
ispiv-158	14	9	(	(	PUNCT
ispiv-158	14	10	ptv	ptv	INTJ
ispiv-158	14	11	)	)	PUNCT
ispiv-158	14	12	(	(	PUNCT
ispiv-158	14	13	malik	malik	PROPN
ispiv-158	14	14	et	et	PROPN
ispiv-158	14	15	al	al	PROPN
ispiv-158	14	16	.	.	PROPN
ispiv-158	14	17	,	,	PUNCT
ispiv-158	14	18	1993	1993	NUM
ispiv-158	14	19	)	)	PUNCT
ispiv-158	14	20	can	can	AUX
ispiv-158	14	21	provide	provide	VERB
ispiv-158	14	22	individual	individual	ADJ
ispiv-158	14	23	particle	particle	NOUN
ispiv-158	14	24	information	information	NOUN
ispiv-158	14	25	with	with	ADP
ispiv-158	14	26	higher	high	ADJ
ispiv-158	14	27	spatial	spatial	ADJ
ispiv-158	14	28	resolution	resolution	NOUN
ispiv-158	14	29	than	than	ADP
ispiv-158	14	30	correlation	correlation	NOUN
ispiv-158	14	31	-	-	PUNCT
ispiv-158	14	32	based	base	VERB
ispiv-158	14	33	volume	volume	NOUN
ispiv-158	14	34	analysis	analysis	NOUN
ispiv-158	14	35	(	(	PUNCT
ispiv-158	14	36	elsinga	elsinga	X
ispiv-158	14	37	et	et	PROPN
ispiv-158	14	38	al	al	PROPN
ispiv-158	14	39	.	.	PROPN
ispiv-158	14	40	,	,	PUNCT
ispiv-158	14	41	2006	2006	NUM
ispiv-158	14	42	)	)	PUNCT
ispiv-158	14	43	.	.	PUNCT
ispiv-158	15	1	shake	shake	VERB
ispiv-158	15	2	-	-	PUNCT
ispiv-158	15	3	the	the	DET
ispiv-158	15	4	-	-	PUNCT
ispiv-158	15	5	box	box	NOUN
ispiv-158	15	6	(	(	PUNCT
ispiv-158	15	7	stb	stb	PROPN
ispiv-158	15	8	,	,	PUNCT
ispiv-158	15	9	schanz	schanz	PROPN
ispiv-158	15	10	et	et	PROPN
ispiv-158	15	11	al	al	PROPN
ispiv-158	15	12	.	.	PROPN
ispiv-158	15	13	,	,	PUNCT
ispiv-158	15	14	2016	2016	NUM
ispiv-158	15	15	)	)	PUNCT
ispiv-158	15	16	has	have	AUX
ispiv-158	15	17	recently	recently	ADV
ispiv-158	15	18	achieved	achieve	VERB
ispiv-158	15	19	accurate	accurate	ADJ
ispiv-158	15	20	and	and	CCONJ
ispiv-158	15	21	ghostless	ghostless	NOUN
ispiv-158	15	22	reconstruction	reconstruction	NOUN
ispiv-158	15	23	of	of	ADP
ispiv-158	15	24	lagrangian	lagrangian	ADJ
ispiv-158	15	25	particle	particle	NOUN
ispiv-158	15	26	tracks	track	NOUN
ispiv-158	15	27	under	under	ADP
ispiv-158	15	28	highly	highly	ADV
ispiv-158	15	29	seeding	seeding	NOUN
ispiv-158	15	30	conditions	condition	NOUN
ispiv-158	15	31	employing	employ	VERB
ispiv-158	15	32	an	an	DET
ispiv-158	15	33	iterative	iterative	NOUN
ispiv-158	15	34	particle	particle	NOUN
ispiv-158	15	35	reconstruction	reconstruction	NOUN
ispiv-158	15	36	(	(	PUNCT
ispiv-158	15	37	ipr	ipr	PROPN
ispiv-158	15	38	,	,	PUNCT
ispiv-158	15	39	wieneke	wieneke	NOUN
ispiv-158	15	40	,	,	PUNCT
ispiv-158	15	41	2012	2012	NUM
ispiv-158	15	42	)	)	PUNCT
ispiv-158	15	43	.	.	PUNCT
ispiv-158	16	1	however	however	ADV
ispiv-158	16	2	,	,	PUNCT
ispiv-158	16	3	because	because	SCONJ
ispiv-158	16	4	resulted	resulted	ADJ
ispiv-158	16	5	data	datum	NOUN
ispiv-158	16	6	is	be	AUX
ispiv-158	16	7	randomly	randomly	ADV
ispiv-158	16	8	distributed	distribute	VERB
ispiv-158	16	9	,	,	PUNCT
ispiv-158	16	10	its	its	PRON
ispiv-158	16	11	conversion	conversion	NOUN
ispiv-158	16	12	onto	onto	ADP
ispiv-158	16	13	a	a	DET
ispiv-158	16	14	regular	regular	ADJ
ispiv-158	16	15	grid	grid	NOUN
ispiv-158	16	16	is	be	AUX
ispiv-158	16	17	generally	generally	ADV
ispiv-158	16	18	favorable	favorable	ADJ
ispiv-158	16	19	to	to	ADP
ispiv-158	16	20	researchers	researcher	NOUN
ispiv-158	16	21	for	for	ADP
ispiv-158	16	22	further	further	ADJ
ispiv-158	16	23	analysis	analysis	NOUN
ispiv-158	16	24	.	.	PUNCT
ispiv-158	17	1	to	to	PART
ispiv-158	17	2	use	use	VERB
ispiv-158	17	3	binning	bin	VERB
ispiv-158	17	4	to	to	PART
ispiv-158	17	5	sample	sample	VERB
ispiv-158	17	6	nearby	nearby	ADJ
ispiv-158	17	7	particles	particle	NOUN
ispiv-158	17	8	at	at	ADP
ispiv-158	17	9	each	each	DET
ispiv-158	17	10	grid	grid	NOUN
ispiv-158	17	11	point	point	NOUN
ispiv-158	17	12	,	,	PUNCT
ispiv-158	17	13	e.g.	e.g.	ADV
ispiv-158	17	14	,	,	PUNCT
ispiv-158	17	15	the	the	DET
ispiv-158	17	16	adaptive	adaptive	ADJ
ispiv-158	17	17	gaussian	gaussian	ADJ
ispiv-158	17	18	windowing	windowing	NOUN
ispiv-158	17	19	technique	technique	NOUN
ispiv-158	17	20	(	(	PUNCT
ispiv-158	17	21	agw	agw	NOUN
ispiv-158	17	22	,	,	PUNCT
ispiv-158	17	23	agüí	agüí	NOUN
ispiv-158	17	24	and	and	CCONJ
ispiv-158	17	25	jimenez	jimenez	PROPN
ispiv-158	17	26	,	,	PUNCT
ispiv-158	17	27	1987	1987	NUM
ispiv-158	17	28	)	)	PUNCT
ispiv-158	17	29	,	,	PUNCT
ispiv-158	17	30	would	would	AUX
ispiv-158	17	31	be	be	AUX
ispiv-158	17	32	the	the	DET
ispiv-158	17	33	simplest	simple	ADJ
ispiv-158	17	34	way	way	NOUN
ispiv-158	17	35	but	but	CCONJ
ispiv-158	17	36	returns	return	VERB
ispiv-158	17	37	a	a	DET
ispiv-158	17	38	spatially	spatially	ADV
ispiv-158	17	39	averaged	average	VERB
ispiv-158	17	40	result	result	NOUN
ispiv-158	17	41	.	.	PUNCT
ispiv-158	18	1	such	such	ADJ
ispiv-158	18	2	approaches	approach	NOUN
ispiv-158	18	3	have	have	AUX
ispiv-158	18	4	advanced	advance	VERB
ispiv-158	18	5	to	to	ADP
ispiv-158	18	6	data	data	NOUN
ispiv-158	18	7	assimilation	assimilation	NOUN
ispiv-158	18	8	,	,	PUNCT
ispiv-158	18	9	which	which	PRON
ispiv-158	18	10	considers	consider	VERB
ispiv-158	18	11	flow	flow	NOUN
ispiv-158	18	12	physics	physic	NOUN
ispiv-158	18	13	.	.	PUNCT
ispiv-158	19	1	using	use	VERB
ispiv-158	19	2	a	a	DET
ispiv-158	19	3	solenoidal	solenoidal	NOUN
ispiv-158	19	4	to	to	PART
ispiv-158	19	5	optimize	optimize	VERB
ispiv-158	19	6	flow	flow	NOUN
ispiv-158	19	7	field	field	NOUN
ispiv-158	19	8	while	while	SCONJ
ispiv-158	19	9	enforcing	enforce	VERB
ispiv-158	19	10	mass	mass	ADJ
ispiv-158	19	11	conservation	conservation	NOUN
ispiv-158	19	12	(	(	PUNCT
ispiv-158	19	13	schiavazzi	schiavazzi	NOUN
ispiv-158	19	14	et	et	PROPN
ispiv-158	19	15	al	al	PROPN
ispiv-158	19	16	.	.	PROPN
ispiv-158	19	17	,	,	PUNCT
ispiv-158	19	18	2014	2014	NUM
ispiv-158	19	19	;	;	PUNCT
ispiv-158	19	20	azijli	azijli	NOUN
ispiv-158	19	21	and	and	CCONJ
ispiv-158	19	22	dwight	dwight	PROPN
ispiv-158	19	23	,	,	PUNCT
ispiv-158	19	24	2015	2015	NUM
ispiv-158	19	25	)	)	PUNCT
ispiv-158	19	26	has	have	AUX
ispiv-158	19	27	shown	show	VERB
ispiv-158	19	28	that	that	SCONJ
ispiv-158	19	29	data	datum	NOUN
ispiv-158	19	30	assimilation	assimilation	NOUN
ispiv-158	19	31	can	can	AUX
ispiv-158	19	32	reduce	reduce	VERB
ispiv-158	19	33	measurement	measurement	NOUN
ispiv-158	19	34	noise	noise	NOUN
ispiv-158	19	35	while	while	SCONJ
ispiv-158	19	36	keeping	keep	VERB
ispiv-158	19	37	the	the	DET
ispiv-158	19	38	spatial	spatial	ADJ
ispiv-158	19	39	resolution	resolution	NOUN
ispiv-158	19	40	.	.	PUNCT
ispiv-158	20	1	a	a	DET
ispiv-158	20	2	new	new	ADJ
ispiv-158	20	3	methodology	methodology	NOUN
ispiv-158	20	4	,	,	PUNCT
ispiv-158	20	5	which	which	PRON
ispiv-158	20	6	solves	solve	VERB
ispiv-158	20	7	an	an	DET
ispiv-158	20	8	optimization	optimization	NOUN
ispiv-158	20	9	problem	problem	NOUN
ispiv-158	20	10	based	base	VERB
ispiv-158	20	11	on	on	ADP
ispiv-158	20	12	the	the	DET
ispiv-158	20	13	governing	govern	VERB
ispiv-158	20	14	equations	equation	NOUN
ispiv-158	20	15	,	,	PUNCT
ispiv-158	20	16	i.e.	i.e.	X
ispiv-158	20	17	,	,	PUNCT
ispiv-158	20	18	navier	navier	NOUN
ispiv-158	20	19	-	-	PUNCT
ispiv-158	20	20	stokes	stoke	NOUN
ispiv-158	20	21	and	and	CCONJ
ispiv-158	20	22	continuity	continuity	NOUN
ispiv-158	20	23	,	,	PUNCT
ispiv-158	20	24	has	have	AUX
ispiv-158	20	25	been	be	AUX
ispiv-158	20	26	introduced	introduce	VERB
ispiv-158	20	27	by	by	ADP
ispiv-158	20	28	flowfit	flowfit	PROPN
ispiv-158	20	29	(	(	PUNCT
ispiv-158	20	30	gesemann	gesemann	X
ispiv-158	20	31	et	et	PROPN
ispiv-158	20	32	al	al	PROPN
ispiv-158	20	33	.	.	PROPN
ispiv-158	20	34	,	,	PUNCT
ispiv-158	20	35	2016	2016	NUM
ispiv-158	20	36	)	)	PUNCT
ispiv-158	20	37	and	and	CCONJ
ispiv-158	20	38	also	also	ADV
ispiv-158	20	39	by	by	ADP
ispiv-158	20	40	vortex	vortex	NOUN
ispiv-158	20	41	-	-	PUNCT
ispiv-158	20	42	in	in	ADP
ispiv-158	20	43	-	-	PUNCT
ispiv-158	20	44	cell	cell	NOUN
ispiv-158	20	45	-	-	PUNCT
ispiv-158	20	46	plus	plus	CCONJ
ispiv-158	20	47	(	(	PUNCT
ispiv-158	20	48	vic+	vic+	ADJ
ispiv-158	20	49	,	,	PUNCT
ispiv-158	20	50	schneiders	schneider	NOUN
ispiv-158	20	51	and	and	CCONJ
ispiv-158	20	52	scarano	scarano	ADJ
ispiv-158	20	53	,	,	PUNCT
ispiv-158	20	54	2016	2016	NUM
ispiv-158	20	55	)	)	PUNCT
ispiv-158	20	56	.	.	PUNCT
ispiv-158	21	1	here	here	ADV
ispiv-158	21	2	,	,	PUNCT
ispiv-158	21	3	the	the	DET
ispiv-158	21	4	optimization	optimization	NOUN
ispiv-158	21	5	variable	variable	ADJ
ispiv-158	21	6	denotes	denote	NOUN
ispiv-158	21	7	amplitudes	amplitude	NOUN
ispiv-158	21	8	of	of	ADP
ispiv-158	21	9	each	each	DET
ispiv-158	21	10	basis	basis	NOUN
ispiv-158	21	11	function	function	NOUN
ispiv-158	21	12	from	from	ADP
ispiv-158	21	13	which	which	PRON
ispiv-158	21	14	physical	physical	ADJ
ispiv-158	21	15	flow	flow	NOUN
ispiv-158	21	16	variables	variable	NOUN
ispiv-158	21	17	are	be	AUX
ispiv-158	21	18	derived	derive	VERB
ispiv-158	21	19	.	.	PUNCT
ispiv-158	22	1	as	as	ADP
ispiv-158	22	2	a	a	DET
ispiv-158	22	3	basis	basis	NOUN
ispiv-158	22	4	function	function	NOUN
ispiv-158	22	5	,	,	PUNCT
ispiv-158	22	6	flowfit	flowfit	NOUN
ispiv-158	22	7	and	and	CCONJ
ispiv-158	22	8	vic+	vic+	PROPN
ispiv-158	22	9	employ	employ	NOUN
ispiv-158	22	10	third	third	ADJ
ispiv-158	22	11	-	-	PUNCT
ispiv-158	22	12	order	order	NOUN
ispiv-158	22	13	b	b	X
ispiv-158	22	14	-	-	PUNCT
ispiv-158	22	15	splines	spline	NOUN
ispiv-158	22	16	and	and	CCONJ
ispiv-158	22	17	a	a	DET
ispiv-158	22	18	gaussian	gaussian	NOUN
ispiv-158	22	19	-	-	PUNCT
ispiv-158	22	20	based	base	VERB
ispiv-158	22	21	radial	radial	ADJ
ispiv-158	22	22	basis	basis	NOUN
ispiv-158	22	23	function	function	NOUN
ispiv-158	22	24	(	(	PUNCT
ispiv-158	22	25	rbf	rbf	PROPN
ispiv-158	22	26	)	)	PUNCT
ispiv-158	22	27	,	,	PUNCT
ispiv-158	22	28	respectively	respectively	ADV
ispiv-158	22	29	.	.	PUNCT
ispiv-158	23	1	for	for	ADP
ispiv-158	23	2	both	both	DET
ispiv-158	23	3	methods	method	NOUN
ispiv-158	23	4	,	,	PUNCT
ispiv-158	23	5	disparities	disparity	NOUN
ispiv-158	23	6	between	between	ADP
ispiv-158	23	7	ptv	ptv	PROPN
ispiv-158	23	8	input	input	NOUN
ispiv-158	23	9	and	and	CCONJ
ispiv-158	23	10	the	the	DET
ispiv-158	23	11	reconstruction	reconstruction	NOUN
ispiv-158	23	12	constitute	constitute	VERB
ispiv-158	23	13	a	a	DET
ispiv-158	23	14	principal	principal	ADJ
ispiv-158	23	15	cost	cost	NOUN
ispiv-158	23	16	function	function	NOUN
ispiv-158	23	17	to	to	PART
ispiv-158	23	18	be	be	AUX
ispiv-158	23	19	minimized	minimize	VERB
ispiv-158	23	20	.	.	PUNCT
ispiv-158	24	1	in	in	ADP
ispiv-158	24	2	addition	addition	NOUN
ispiv-158	24	3	,	,	PUNCT
ispiv-158	24	4	flowfit	flowfit	NOUN
ispiv-158	24	5	simultaneously	simultaneously	ADV
ispiv-158	24	6	minimizes	minimize	VERB
ispiv-158	24	7	the	the	DET
ispiv-158	24	8	cost	cost	NOUN
ispiv-158	24	9	functions	function	NOUN
ispiv-158	24	10	obtained	obtain	VERB
ispiv-158	24	11	from	from	ADP
ispiv-158	24	12	the	the	DET
ispiv-158	24	13	governing	govern	VERB
ispiv-158	24	14	equations	equation	NOUN
ispiv-158	24	15	.	.	PUNCT
ispiv-158	25	1	in	in	ADP
ispiv-158	25	2	contrast	contrast	NOUN
ispiv-158	25	3	,	,	PUNCT
ispiv-158	25	4	because	because	SCONJ
ispiv-158	25	5	vic+	vic+	NOUN
ispiv-158	25	6	is	be	AUX
ispiv-158	25	7	based	base	VERB
ispiv-158	25	8	on	on	ADP
ispiv-158	25	9	the	the	DET
ispiv-158	25	10	vortex	vortex	NOUN
ispiv-158	25	11	method	method	NOUN
ispiv-158	25	12	(	(	PUNCT
ispiv-158	25	13	christiansen	christiansen	PROPN
ispiv-158	25	14	,	,	PUNCT
ispiv-158	25	15	1973	1973	NUM
ispiv-158	25	16	)	)	PUNCT
ispiv-158	25	17	,	,	PUNCT
ispiv-158	25	18	the	the	DET
ispiv-158	25	19	continuities	continuity	NOUN
ispiv-158	25	20	of	of	ADP
ispiv-158	25	21	velocity	velocity	NOUN
ispiv-158	25	22	and	and	CCONJ
ispiv-158	25	23	acceleration	acceleration	NOUN
ispiv-158	25	24	are	be	AUX
ispiv-158	25	25	inherent	inherent	ADJ
ispiv-158	25	26	.	.	PUNCT
ispiv-158	26	1	the	the	DET
ispiv-158	26	2	time	time	NOUN
ispiv-158	26	3	-	-	PUNCT
ispiv-158	26	4	derivative	derivative	ADJ
ispiv-158	26	5	terms	term	NOUN
ispiv-158	26	6	in	in	ADP
ispiv-158	26	7	vic+	vic+	NOUN
ispiv-158	26	8	are	be	AUX
ispiv-158	26	9	evaluated	evaluate	VERB
ispiv-158	26	10	through	through	ADP
ispiv-158	26	11	the	the	DET
ispiv-158	26	12	vorticity	vorticity	NOUN
ispiv-158	26	13	transport	transport	NOUN
ispiv-158	26	14	equation	equation	NOUN
ispiv-158	26	15	after	after	ADP
ispiv-158	26	16	invoking	invoke	VERB
ispiv-158	26	17	the	the	DET
ispiv-158	26	18	navier	navier	NOUN
ispiv-158	26	19	-	-	PUNCT
ispiv-158	26	20	stokes	stoke	NOUN
ispiv-158	26	21	equation	equation	NOUN
ispiv-158	26	22	.	.	PUNCT
ispiv-158	27	1	vic	vic	PROPN
ispiv-158	27	2	#	#	PROPN
ispiv-158	27	3	(	(	PUNCT
ispiv-158	27	4	jeon	jeon	PROPN
ispiv-158	27	5	et	et	PROPN
ispiv-158	27	6	al	al	PROPN
ispiv-158	27	7	.	.	PROPN
ispiv-158	27	8	,	,	PUNCT
ispiv-158	27	9	2018	2018	NUM
ispiv-158	27	10	)	)	PUNCT
ispiv-158	27	11	is	be	AUX
ispiv-158	27	12	based	base	VERB
ispiv-158	27	13	on	on	ADP
ispiv-158	27	14	vic+	vic+	PROPN
ispiv-158	27	15	and	and	CCONJ
ispiv-158	27	16	,	,	PUNCT
ispiv-158	27	17	at	at	ADP
ispiv-158	27	18	the	the	DET
ispiv-158	27	19	same	same	ADJ
ispiv-158	27	20	time	time	NOUN
ispiv-158	27	21	,	,	PUNCT
ispiv-158	27	22	employs	employ	VERB
ispiv-158	27	23	the	the	DET
ispiv-158	27	24	cost	cost	NOUN
ispiv-158	27	25	functions	function	NOUN
ispiv-158	27	26	from	from	ADP
ispiv-158	27	27	flowfit	flowfit	NOUN
ispiv-158	27	28	.	.	PUNCT
ispiv-158	28	1	besides	besides	SCONJ
ispiv-158	28	2	,	,	PUNCT
ispiv-158	28	3	a	a	DET
ispiv-158	28	4	coarse	coarse	ADJ
ispiv-158	28	5	grid	grid	NOUN
ispiv-158	28	6	approximation	approximation	NOUN
ispiv-158	28	7	is	be	AUX
ispiv-158	28	8	introduced	introduce	VERB
ispiv-158	28	9	to	to	PART
ispiv-158	28	10	eliminate	eliminate	VERB
ispiv-158	28	11	the	the	DET
ispiv-158	28	12	necessity	necessity	NOUN
ispiv-158	28	13	of	of	ADP
ispiv-158	28	14	an	an	DET
ispiv-158	28	15	initial	initial	ADJ
ispiv-158	28	16	velocity	velocity	NOUN
ispiv-158	28	17	field	field	NOUN
ispiv-158	28	18	in	in	ADP
ispiv-158	28	19	vic+	vic+	NOUN
ispiv-158	28	20	and	and	CCONJ
ispiv-158	28	21	thus	thus	ADV
ispiv-158	28	22	enables	enable	VERB
ispiv-158	28	23	vic	vic	NOUN
ispiv-158	28	24	#	#	NOUN
ispiv-158	28	25	to	to	PART
ispiv-158	28	26	start	start	VERB
ispiv-158	28	27	from	from	ADP
ispiv-158	28	28	zeros	zero	NOUN
ispiv-158	28	29	and	and	CCONJ
ispiv-158	28	30	to	to	PART
ispiv-158	28	31	generate	generate	VERB
ispiv-158	28	32	initial	initial	ADJ
ispiv-158	28	33	conditions	condition	NOUN
ispiv-158	28	34	for	for	ADP
ispiv-158	28	35	finer	fine	ADJ
ispiv-158	28	36	grids	grid	NOUN
ispiv-158	28	37	autonomously	autonomously	ADV
ispiv-158	28	38	.	.	PUNCT
ispiv-158	29	1	recently	recently	ADV
ispiv-158	29	2	,	,	PUNCT
ispiv-158	29	3	both	both	PRON
ispiv-158	29	4	flowfit	flowfit	VERB
ispiv-158	29	5	and	and	CCONJ
ispiv-158	29	6	vic+	vic+	NOUN
ispiv-158	29	7	are	be	AUX
ispiv-158	29	8	expanding	expand	VERB
ispiv-158	29	9	their	their	PRON
ispiv-158	29	10	scope	scope	NOUN
ispiv-158	29	11	of	of	ADP
ispiv-158	29	12	considerations	consideration	NOUN
ispiv-158	29	13	to	to	ADP
ispiv-158	29	14	temporal	temporal	ADJ
ispiv-158	29	15	coherency	coherency	NOUN
ispiv-158	29	16	between	between	ADP
ispiv-158	29	17	reconstructed	reconstruct	VERB
ispiv-158	29	18	instances	instance	NOUN
ispiv-158	29	19	.	.	PUNCT
ispiv-158	30	1	flowfit	flowfit	NOUN
ispiv-158	30	2	generates	generate	VERB
ispiv-158	30	3	virtual	virtual	ADJ
ispiv-158	30	4	trace	trace	NOUN
ispiv-158	30	5	particles	particle	NOUN
ispiv-158	30	6	from	from	ADP
ispiv-158	30	7	a	a	DET
ispiv-158	30	8	physically	physically	ADV
ispiv-158	30	9	valid	valid	ADJ
ispiv-158	30	10	reconstructed	reconstructed	ADJ
ispiv-158	30	11	instance	instance	NOUN
ispiv-158	30	12	and	and	CCONJ
ispiv-158	30	13	advects	advect	VERB
ispiv-158	30	14	them	they	PRON
ispiv-158	30	15	for	for	ADP
ispiv-158	30	16	14th	14th	ADJ
ispiv-158	30	17	international	international	ADJ
ispiv-158	30	18	symposium	symposium	NOUN
ispiv-158	30	19	on	on	ADP
ispiv-158	30	20	particle	particle	NOUN
ispiv-158	30	21	image	image	NOUN
ispiv-158	30	22	velocimetry	velocimetry	NOUN
ispiv-158	30	23	–	–	PUNCT
ispiv-158	30	24	ispiv2021	ispiv2021	PROPN
ispiv-158	30	25	august	august	PROPN
ispiv-158	30	26	1–5	1–5	NUM
ispiv-158	30	27	,	,	PUNCT
ispiv-158	30	28	2021	2021	NUM
ispiv-158	30	29	2	2	NUM
ispiv-158	30	30	spatially	spatially	ADV
ispiv-158	30	31	enriching	enrich	VERB
ispiv-158	30	32	a	a	DET
ispiv-158	30	33	subsequent	subsequent	ADJ
ispiv-158	30	34	instance	instance	NOUN
ispiv-158	30	35	(	(	PUNCT
ispiv-158	30	36	ehlers	ehlers	PROPN
ispiv-158	30	37	et	et	PROPN
ispiv-158	30	38	al	al	PROPN
ispiv-158	30	39	.	.	PROPN
ispiv-158	30	40	,	,	PUNCT
ispiv-158	30	41	2020	2020	NUM
ispiv-158	30	42	)	)	PUNCT
ispiv-158	30	43	,	,	PUNCT
ispiv-158	30	44	and	and	CCONJ
ispiv-158	30	45	vic+	vic+	NOUN
ispiv-158	30	46	adopts	adopt	VERB
ispiv-158	30	47	time	time	NOUN
ispiv-158	30	48	-	-	PUNCT
ispiv-158	30	49	segment	segment	NOUN
ispiv-158	30	50	assimilation	assimilation	NOUN
ispiv-158	30	51	to	to	PART
ispiv-158	30	52	conduct	conduct	VERB
ispiv-158	30	53	vorticity	vorticity	NOUN
ispiv-158	30	54	time	time	NOUN
ispiv-158	30	55	-	-	PUNCT
ispiv-158	30	56	marching	marching	NOUN
ispiv-158	30	57	(	(	PUNCT
ispiv-158	30	58	gonzález	gonzález	PROPN
ispiv-158	30	59	et	et	PROPN
ispiv-158	30	60	al	al	PROPN
ispiv-158	30	61	.	.	PROPN
ispiv-158	30	62	,	,	PUNCT
ispiv-158	30	63	2019	2019	NUM
ispiv-158	30	64	)	)	PUNCT
ispiv-158	30	65	.	.	PUNCT
ispiv-158	31	1	both	both	DET
ispiv-158	31	2	methods	method	NOUN
ispiv-158	31	3	have	have	AUX
ispiv-158	31	4	shown	show	VERB
ispiv-158	31	5	that	that	SCONJ
ispiv-158	31	6	the	the	DET
ispiv-158	31	7	added	add	VERB
ispiv-158	31	8	temporal	temporal	ADJ
ispiv-158	31	9	coherency	coherency	NOUN
ispiv-158	31	10	in	in	ADP
ispiv-158	31	11	the	the	DET
ispiv-158	31	12	lagrangian	lagrangian	ADJ
ispiv-158	31	13	frame	frame	NOUN
ispiv-158	31	14	improves	improve	VERB
ispiv-158	31	15	reconstruction	reconstruction	NOUN
ispiv-158	31	16	quality	quality	NOUN
ispiv-158	31	17	.	.	PUNCT
ispiv-158	32	1	the	the	DET
ispiv-158	32	2	vortex	vortex	NOUN
ispiv-158	32	3	method	method	NOUN
ispiv-158	32	4	can	can	AUX
ispiv-158	32	5	derive	derive	VERB
ispiv-158	32	6	spatially	spatially	ADV
ispiv-158	32	7	smooth	smooth	ADJ
ispiv-158	32	8	enough	enough	ADJ
ispiv-158	32	9	flow	flow	NOUN
ispiv-158	32	10	variables	variable	NOUN
ispiv-158	32	11	,	,	PUNCT
ispiv-158	32	12	including	include	VERB
ispiv-158	32	13	a	a	DET
ispiv-158	32	14	vorticity	vorticity	NOUN
ispiv-158	32	15	time	time	NOUN
ispiv-158	32	16	derivative	derivative	ADJ
ispiv-158	32	17	.	.	PUNCT
ispiv-158	33	1	simulations	simulation	NOUN
ispiv-158	33	2	of	of	ADP
ispiv-158	33	3	vorticity	vorticity	NOUN
ispiv-158	33	4	fields	field	NOUN
ispiv-158	33	5	in	in	ADP
ispiv-158	33	6	future	future	ADJ
ispiv-158	33	7	and	and	CCONJ
ispiv-158	33	8	past	past	ADJ
ispiv-158	33	9	instances	instance	NOUN
ispiv-158	33	10	under	under	ADP
ispiv-158	33	11	inviscid	inviscid	ADJ
ispiv-158	33	12	flow	flow	NOUN
ispiv-158	33	13	conditions	condition	NOUN
ispiv-158	33	14	are	be	AUX
ispiv-158	33	15	therefore	therefore	ADV
ispiv-158	33	16	feasible	feasible	ADJ
ispiv-158	33	17	.	.	PUNCT
ispiv-158	34	1	here	here	ADV
ispiv-158	34	2	,	,	PUNCT
ispiv-158	34	3	the	the	DET
ispiv-158	34	4	viscosity	viscosity	NOUN
ispiv-158	34	5	is	be	AUX
ispiv-158	34	6	only	only	ADV
ispiv-158	34	7	considered	consider	VERB
ispiv-158	34	8	in	in	ADP
ispiv-158	34	9	pressure	pressure	NOUN
ispiv-158	34	10	evaluation	evaluation	NOUN
ispiv-158	34	11	.	.	PUNCT
ispiv-158	35	1	schneiders	schneider	NOUN
ispiv-158	35	2	et	et	PROPN
ispiv-158	35	3	al	al	PROPN
ispiv-158	35	4	.	.	PROPN
ispiv-158	36	1	(	(	PUNCT
ispiv-158	36	2	2014	2014	NUM
ispiv-158	36	3	)	)	PUNCT
ispiv-158	36	4	have	have	AUX
ispiv-158	36	5	exploited	exploit	VERB
ispiv-158	36	6	this	this	DET
ispiv-158	36	7	feature	feature	NOUN
ispiv-158	36	8	for	for	ADP
ispiv-158	36	9	super	super	ADJ
ispiv-158	36	10	-	-	ADJ
ispiv-158	36	11	sampling	sample	VERB
ispiv-158	36	12	double	double	ADJ
ispiv-158	36	13	-	-	PUNCT
ispiv-158	36	14	pulse	pulse	NOUN
ispiv-158	36	15	piv	piv	NOUN
ispiv-158	36	16	measurement	measurement	NOUN
ispiv-158	36	17	using	use	VERB
ispiv-158	36	18	advected	advected	ADJ
ispiv-158	36	19	vortex	vortex	NOUN
ispiv-158	36	20	particles	particle	NOUN
ispiv-158	36	21	.	.	PUNCT
ispiv-158	37	1	instead	instead	ADV
ispiv-158	37	2	of	of	ADP
ispiv-158	37	3	such	such	ADJ
ispiv-158	37	4	lagrangian	lagrangian	ADJ
ispiv-158	37	5	vortex	vortex	NOUN
ispiv-158	37	6	particles	particle	NOUN
ispiv-158	37	7	,	,	PUNCT
ispiv-158	37	8	the	the	DET
ispiv-158	37	9	present	present	ADJ
ispiv-158	37	10	study	study	NOUN
ispiv-158	37	11	focuses	focus	VERB
ispiv-158	37	12	on	on	ADP
ispiv-158	37	13	the	the	DET
ispiv-158	37	14	flow	flow	NOUN
ispiv-158	37	15	variables	variable	VERB
ispiv-158	37	16	themselves	themselves	PRON
ispiv-158	37	17	in	in	ADP
ispiv-158	37	18	eulerian	eulerian	ADJ
ispiv-158	37	19	fashion	fashion	NOUN
ispiv-158	37	20	.	.	PUNCT
ispiv-158	38	1	the	the	DET
ispiv-158	38	2	eulerian	eulerian	ADJ
ispiv-158	38	3	time	time	NOUN
ispiv-158	38	4	-	-	PUNCT
ispiv-158	38	5	marching	marching	NOUN
ispiv-158	38	6	is	be	AUX
ispiv-158	38	7	relatively	relatively	ADV
ispiv-158	38	8	simple	simple	ADJ
ispiv-158	38	9	to	to	PART
ispiv-158	38	10	produce	produce	VERB
ispiv-158	38	11	simulated	simulated	ADJ
ispiv-158	38	12	instances	instance	NOUN
ispiv-158	38	13	and	and	CCONJ
ispiv-158	38	14	thus	thus	ADV
ispiv-158	38	15	requires	require	VERB
ispiv-158	38	16	less	less	ADJ
ispiv-158	38	17	effort	effort	NOUN
ispiv-158	38	18	to	to	PART
ispiv-158	38	19	retrieve	retrieve	VERB
ispiv-158	38	20	feedback	feedback	NOUN
ispiv-158	38	21	from	from	ADP
ispiv-158	38	22	them	they	PRON
ispiv-158	38	23	through	through	ADP
ispiv-158	38	24	the	the	DET
ispiv-158	38	25	adjoint	adjoint	NOUN
ispiv-158	38	26	approach	approach	NOUN
ispiv-158	38	27	(	(	PUNCT
ispiv-158	38	28	gronskis	gronski	NOUN
ispiv-158	38	29	et	et	PROPN
ispiv-158	38	30	al	al	PROPN
ispiv-158	38	31	.	.	PROPN
ispiv-158	38	32	,	,	PUNCT
ispiv-158	38	33	2013	2013	NUM
ispiv-158	38	34	)	)	PUNCT
ispiv-158	38	35	.	.	PUNCT
ispiv-158	39	1	the	the	DET
ispiv-158	39	2	boundary	boundary	ADJ
ispiv-158	39	3	conditions	condition	NOUN
ispiv-158	39	4	in	in	ADP
ispiv-158	39	5	vic+	vic+	NOUN
ispiv-158	39	6	and	and	CCONJ
ispiv-158	39	7	vic	vic	NOUN
ispiv-158	39	8	#	#	NOUN
ispiv-158	39	9	,	,	PUNCT
ispiv-158	39	10	which	which	PRON
ispiv-158	39	11	are	be	AUX
ispiv-158	39	12	essential	essential	ADJ
ispiv-158	39	13	to	to	PART
ispiv-158	39	14	produce	produce	VERB
ispiv-158	39	15	both	both	PRON
ispiv-158	39	16	velocity	velocity	NOUN
ispiv-158	39	17	and	and	CCONJ
ispiv-158	39	18	acceleration	acceleration	NOUN
ispiv-158	39	19	fields	field	NOUN
ispiv-158	39	20	,	,	PUNCT
ispiv-158	39	21	are	be	AUX
ispiv-158	39	22	literally	literally	ADV
ispiv-158	39	23	outside	outside	ADV
ispiv-158	39	24	of	of	ADP
ispiv-158	39	25	a	a	DET
ispiv-158	39	26	measured	measure	VERB
ispiv-158	39	27	particle	particle	NOUN
ispiv-158	39	28	cluster	cluster	NOUN
ispiv-158	39	29	and	and	CCONJ
ispiv-158	39	30	have	have	AUX
ispiv-158	39	31	extrapolated	extrapolate	VERB
ispiv-158	39	32	nature	nature	NOUN
ispiv-158	39	33	.	.	PUNCT
ispiv-158	40	1	even	even	ADV
ispiv-158	40	2	though	though	SCONJ
ispiv-158	40	3	vic	vic	NOUN
ispiv-158	40	4	#	#	NOUN
ispiv-158	40	5	corrects	correct	VERB
ispiv-158	40	6	them	they	PRON
ispiv-158	40	7	employing	employ	VERB
ispiv-158	40	8	the	the	DET
ispiv-158	40	9	additional	additional	ADJ
ispiv-158	40	10	constraints	constraint	NOUN
ispiv-158	40	11	based	base	VERB
ispiv-158	40	12	on	on	ADP
ispiv-158	40	13	flow	flow	NOUN
ispiv-158	40	14	physics	physics	NOUN
ispiv-158	40	15	,	,	PUNCT
ispiv-158	40	16	they	they	PRON
ispiv-158	40	17	have	have	VERB
ispiv-158	40	18	no	no	DET
ispiv-158	40	19	potential	potential	NOUN
ispiv-158	40	20	to	to	PART
ispiv-158	40	21	simulate	simulate	VERB
ispiv-158	40	22	themselves	themselves	PRON
ispiv-158	40	23	,	,	PUNCT
ispiv-158	40	24	and	and	CCONJ
ispiv-158	40	25	thus	thus	ADV
ispiv-158	40	26	,	,	PUNCT
ispiv-158	40	27	both	both	CCONJ
ispiv-158	40	28	velocity	velocity	NOUN
ispiv-158	40	29	and	and	CCONJ
ispiv-158	40	30	acceleration	acceleration	NOUN
ispiv-158	40	31	boundaries	boundary	NOUN
ispiv-158	40	32	must	must	AUX
ispiv-158	40	33	be	be	AUX
ispiv-158	40	34	optimized	optimize	VERB
ispiv-158	40	35	in	in	ADP
ispiv-158	40	36	the	the	DET
ispiv-158	40	37	simulated	simulate	VERB
ispiv-158	40	38	instances	instance	NOUN
ispiv-158	40	39	.	.	PUNCT
ispiv-158	41	1	vic	vic	PROPN
ispiv-158	41	2	#	#	PROPN
ispiv-158	41	3	can	can	AUX
ispiv-158	41	4	be	be	AUX
ispiv-158	41	5	repeated	repeat	VERB
ispiv-158	41	6	on	on	ADP
ispiv-158	41	7	the	the	DET
ispiv-158	41	8	simulated	simulate	VERB
ispiv-158	41	9	instances	instance	NOUN
ispiv-158	41	10	until	until	SCONJ
ispiv-158	41	11	it	it	PRON
ispiv-158	41	12	reaches	reach	VERB
ispiv-158	41	13	both	both	DET
ispiv-158	41	14	ends	end	NOUN
ispiv-158	41	15	of	of	ADP
ispiv-158	41	16	the	the	DET
ispiv-158	41	17	time	time	NOUN
ispiv-158	41	18	domain	domain	NOUN
ispiv-158	41	19	.	.	PUNCT
ispiv-158	42	1	as	as	ADP
ispiv-158	42	2	a	a	DET
ispiv-158	42	3	result	result	NOUN
ispiv-158	42	4	,	,	PUNCT
ispiv-158	42	5	the	the	DET
ispiv-158	42	6	present	present	ADJ
ispiv-158	42	7	approach	approach	NOUN
ispiv-158	42	8	reconstructs	reconstruct	VERB
ispiv-158	42	9	multiple	multiple	ADJ
ispiv-158	42	10	instances	instance	NOUN
ispiv-158	42	11	simultaneously	simultaneously	ADV
ispiv-158	42	12	while	while	SCONJ
ispiv-158	42	13	optimizing	optimize	VERB
ispiv-158	42	14	a	a	DET
ispiv-158	42	15	single	single	ADJ
ispiv-158	42	16	vorticity	vorticity	NOUN
ispiv-158	42	17	volume	volume	NOUN
ispiv-158	42	18	and	and	CCONJ
ispiv-158	42	19	time	time	NOUN
ispiv-158	42	20	-	-	PUNCT
ispiv-158	42	21	resolved	resolve	VERB
ispiv-158	42	22	boundary	boundary	ADJ
ispiv-158	42	23	conditions	condition	NOUN
ispiv-158	42	24	regarding	regard	VERB
ispiv-158	42	25	velocity	velocity	NOUN
ispiv-158	42	26	and	and	CCONJ
ispiv-158	42	27	acceleration	acceleration	NOUN
ispiv-158	42	28	.	.	PUNCT
ispiv-158	43	1	therefore	therefore	ADV
ispiv-158	43	2	,	,	PUNCT
ispiv-158	43	3	improved	improve	VERB
ispiv-158	43	4	reconstruction	reconstruction	NOUN
ispiv-158	43	5	quality	quality	NOUN
ispiv-158	43	6	can	can	AUX
ispiv-158	43	7	be	be	AUX
ispiv-158	43	8	expected	expect	VERB
ispiv-158	43	9	as	as	ADP
ispiv-158	43	10	the	the	DET
ispiv-158	43	11	number	number	NOUN
ispiv-158	43	12	of	of	ADP
ispiv-158	43	13	reconstructed	reconstructed	ADJ
ispiv-158	43	14	instances	instance	NOUN
ispiv-158	43	15	increases	increase	NOUN
ispiv-158	43	16	until	until	SCONJ
ispiv-158	43	17	it	it	PRON
ispiv-158	43	18	is	be	AUX
ispiv-158	43	19	overwhelmed	overwhelm	VERB
ispiv-158	43	20	by	by	ADP
ispiv-158	43	21	an	an	DET
ispiv-158	43	22	accumulated	accumulate	VERB
ispiv-158	43	23	numerical	numerical	ADJ
ispiv-158	43	24	truncation	truncation	NOUN
ispiv-158	43	25	,	,	PUNCT
ispiv-158	43	26	which	which	PRON
ispiv-158	43	27	is	be	AUX
ispiv-158	43	28	inevitable	inevitable	ADJ
ispiv-158	43	29	in	in	ADP
ispiv-158	43	30	the	the	DET
ispiv-158	43	31	explicit	explicit	ADJ
ispiv-158	43	32	time	time	NOUN
ispiv-158	43	33	-	-	PUNCT
ispiv-158	43	34	marching	marching	NOUN
ispiv-158	43	35	.	.	PUNCT
ispiv-158	44	1	in	in	ADP
ispiv-158	44	2	this	this	DET
ispiv-158	44	3	study	study	NOUN
ispiv-158	44	4	,	,	PUNCT
ispiv-158	44	5	not	not	PART
ispiv-158	44	6	only	only	ADV
ispiv-158	44	7	the	the	DET
ispiv-158	44	8	forward	forward	ADJ
ispiv-158	44	9	euler	euler	NOUN
ispiv-158	44	10	method	method	NOUN
ispiv-158	44	11	but	but	CCONJ
ispiv-158	44	12	also	also	ADV
ispiv-158	44	13	the	the	DET
ispiv-158	44	14	runge	runge	NOUN
ispiv-158	44	15	-	-	PUNCT
ispiv-158	44	16	kutta	kutta	NOUN
ispiv-158	44	17	method	method	NOUN
ispiv-158	44	18	is	be	AUX
ispiv-158	44	19	adopted	adopt	VERB
ispiv-158	44	20	.	.	PUNCT
ispiv-158	45	1	both	both	DET
ispiv-158	45	2	marching	marching	NOUN
ispiv-158	45	3	methods	method	NOUN
ispiv-158	45	4	are	be	AUX
ispiv-158	45	5	verified	verify	VERB
ispiv-158	45	6	in	in	ADP
ispiv-158	45	7	terms	term	NOUN
ispiv-158	45	8	of	of	ADP
ispiv-158	45	9	reconstruction	reconstruction	NOUN
ispiv-158	45	10	qualities	quality	NOUN
ispiv-158	45	11	concerning	concern	VERB
ispiv-158	45	12	velocity	velocity	NOUN
ispiv-158	45	13	and	and	CCONJ
ispiv-158	45	14	identified	identify	VERB
ispiv-158	45	15	vortical	vortical	ADJ
ispiv-158	45	16	structures	structure	NOUN
ispiv-158	45	17	.	.	PUNCT
ispiv-158	46	1	the	the	DET
ispiv-158	46	2	computation	computation	NOUN
ispiv-158	46	3	cost	cost	NOUN
ispiv-158	46	4	regarding	regard	VERB
ispiv-158	46	5	time	time	NOUN
ispiv-158	46	6	and	and	CCONJ
ispiv-158	46	7	memory	memory	NOUN
ispiv-158	46	8	are	be	AUX
ispiv-158	46	9	reported	report	VERB
ispiv-158	46	10	.	.	PUNCT
ispiv-158	47	1	two	two	NUM
ispiv-158	47	2	time	time	NOUN
ispiv-158	47	3	-	-	PUNCT
ispiv-158	47	4	resolved	resolve	VERB
ispiv-158	47	5	stb	stb	NOUN
ispiv-158	47	6	measurements	measurement	NOUN
ispiv-158	47	7	,	,	PUNCT
ispiv-158	47	8	which	which	PRON
ispiv-158	47	9	were	be	AUX
ispiv-158	47	10	acquired	acquire	VERB
ispiv-158	47	11	under	under	ADP
ispiv-158	47	12	high	high	ADJ
ispiv-158	47	13	-	-	PUNCT
ispiv-158	47	14	speed	speed	NOUN
ispiv-158	47	15	systems	system	NOUN
ispiv-158	47	16	,	,	PUNCT
ispiv-158	47	17	are	be	AUX
ispiv-158	47	18	processed	process	VERB
ispiv-158	47	19	by	by	ADP
ispiv-158	47	20	the	the	DET
ispiv-158	47	21	3d	3d	PROPN
ispiv-158	47	22	method	method	NOUN
ispiv-158	47	23	(	(	PUNCT
ispiv-158	47	24	vic	vic	NOUN
ispiv-158	47	25	#	#	NOUN
ispiv-158	47	26	)	)	PUNCT
ispiv-158	47	27	and	and	CCONJ
ispiv-158	47	28	the	the	DET
ispiv-158	47	29	proposed	propose	VERB
ispiv-158	47	30	4d	4d	NUM
ispiv-158	47	31	approach	approach	NOUN
ispiv-158	47	32	,	,	PUNCT
ispiv-158	47	33	and	and	CCONJ
ispiv-158	47	34	their	their	PRON
ispiv-158	47	35	results	result	NOUN
ispiv-158	47	36	are	be	AUX
ispiv-158	47	37	qualitatively	qualitatively	ADV
ispiv-158	47	38	compared	compare	VERB
ispiv-158	47	39	.	.	PUNCT
ispiv-158	48	1	2	2	NUM
ispiv-158	48	2	method	method	NOUN
ispiv-158	48	3	the	the	DET
ispiv-158	48	4	present	present	ADJ
ispiv-158	48	5	approach	approach	NOUN
ispiv-158	48	6	evenly	evenly	ADV
ispiv-158	48	7	simulates	simulate	VERB
ispiv-158	48	8	future	future	ADJ
ispiv-158	48	9	and	and	CCONJ
ispiv-158	48	10	past	past	ADJ
ispiv-158	48	11	instances	instance	NOUN
ispiv-158	48	12	and	and	CCONJ
ispiv-158	48	13	thus	thus	ADV
ispiv-158	48	14	simultaneously	simultaneously	ADV
ispiv-158	48	15	reconstructs	reconstruct	VERB
ispiv-158	48	16	an	an	DET
ispiv-158	48	17	odd	odd	ADJ
ispiv-158	48	18	number	number	NOUN
ispiv-158	48	19	(	(	PUNCT
ispiv-158	48	20	𝐿	𝐿	PROPN
ispiv-158	48	21	)	)	PUNCT
ispiv-158	48	22	of	of	ADP
ispiv-158	48	23	instances	instance	NOUN
ispiv-158	48	24	by	by	ADP
ispiv-158	48	25	referring	refer	VERB
ispiv-158	48	26	to	to	ADP
ispiv-158	48	27	the	the	DET
ispiv-158	48	28	corresponding	corresponding	ADJ
ispiv-158	48	29	ptv	ptv	PROPN
ispiv-158	48	30	instances	instance	NOUN
ispiv-158	48	31	.	.	PUNCT
ispiv-158	49	1	an	an	DET
ispiv-158	49	2	optimization	optimization	NOUN
ispiv-158	49	3	variable	variable	NOUN
ispiv-158	49	4	is	be	AUX
ispiv-158	49	5	made	make	VERB
ispiv-158	49	6	up	up	ADP
ispiv-158	49	7	of	of	ADP
ispiv-158	49	8	two	two	NUM
ispiv-158	49	9	parts	part	NOUN
ispiv-158	49	10	:	:	PUNCT
ispiv-158	49	11	3d	3d	NUM
ispiv-158	49	12	,	,	PUNCT
ispiv-158	49	13	identical	identical	ADJ
ispiv-158	49	14	to	to	ADP
ispiv-158	49	15	the	the	DET
ispiv-158	49	16	3d	3d	PROPN
ispiv-158	49	17	approach	approach	NOUN
ispiv-158	49	18	(	(	PUNCT
ispiv-158	49	19	vic+	vic+	PROPN
ispiv-158	49	20	and	and	CCONJ
ispiv-158	49	21	vic	vic	NOUN
ispiv-158	49	22	#	#	NOUN
ispiv-158	49	23	)	)	PUNCT
ispiv-158	49	24	,	,	PUNCT
ispiv-158	49	25	and	and	CCONJ
ispiv-158	49	26	4d	4d	NUM
ispiv-158	49	27	,	,	PUNCT
ispiv-158	49	28	consisting	consist	VERB
ispiv-158	49	29	of	of	ADP
ispiv-158	49	30	time	time	NOUN
ispiv-158	49	31	-	-	PUNCT
ispiv-158	49	32	resolved	resolve	VERB
ispiv-158	49	33	boundary	boundary	ADJ
ispiv-158	49	34	conditions	condition	NOUN
ispiv-158	49	35	regarding	regard	VERB
ispiv-158	49	36	velocity	velocity	NOUN
ispiv-158	49	37	and	and	CCONJ
ispiv-158	49	38	acceleration	acceleration	NOUN
ispiv-158	49	39	for	for	ADP
ispiv-158	49	40	the	the	DET
ispiv-158	49	41	simulated	simulate	VERB
ispiv-158	49	42	instances	instance	NOUN
ispiv-158	49	43	.	.	PUNCT
ispiv-158	50	1	it	it	PRON
ispiv-158	50	2	can	can	AUX
ispiv-158	50	3	be	be	AUX
ispiv-158	50	4	expressed	express	VERB
ispiv-158	50	5	as	as	ADP
ispiv-158	50	6	:	:	PUNCT
ispiv-158	50	7	𝛏4d(𝑡0	𝛏4d(𝑡0	PROPN
ispiv-158	50	8	,	,	PUNCT
ispiv-158	50	9	𝐿	𝐿	PROPN
ispiv-158	50	10	)	)	PUNCT
ispiv-158	50	11	=	=	SYM
ispiv-158	50	12	{	{	PUNCT
ispiv-158	50	13	𝛏3d(𝑡0	𝛏3d(𝑡0	PROPN
ispiv-158	50	14	)	)	PUNCT
ispiv-158	50	15	,	,	PUNCT
ispiv-158	50	16	𝛏4d(𝑡0	𝛏4d(𝑡0	PROPN
ispiv-158	50	17	,	,	PUNCT
ispiv-158	50	18	𝐿	𝐿	NOUN
ispiv-158	50	19	)	)	PUNCT
ispiv-158	50	20	}	}	PUNCT
ispiv-158	50	21	=	=	SYM
ispiv-158	50	22	{	{	PUNCT
ispiv-158	50	23	𝛏𝛚(𝑡0	𝛏𝛚(𝑡0	NOUN
ispiv-158	50	24	)	)	PUNCT
ispiv-158	50	25	,	,	PUNCT
ispiv-158	50	26	{	{	PUNCT
ispiv-158	50	27	𝛏𝜕𝛀,𝐮(𝑡𝑖	𝛏𝜕𝛀,𝐮(𝑡𝑖	NOUN
ispiv-158	50	28	)	)	PUNCT
ispiv-158	50	29	}	}	PUNCT
ispiv-158	50	30	,	,	PUNCT
ispiv-158	50	31	{	{	PUNCT
ispiv-158	50	32	𝛏𝜕𝛀,𝜕𝐮/𝜕𝑡(𝑡𝑖	𝛏𝜕𝛀,𝜕𝐮/𝜕𝑡(𝑡𝑖	PROPN
ispiv-158	50	33	)	)	PUNCT
ispiv-158	50	34	}	}	PUNCT
ispiv-158	50	35	}	}	PUNCT
ispiv-158	50	36	,	,	PUNCT
ispiv-158	50	37	where	where	SCONJ
ispiv-158	50	38	𝑡𝑖	𝑡𝑖	AUX
ispiv-158	50	39	=	=	SYM
ispiv-158	50	40	−	−	PROPN
ispiv-158	50	41	𝐿	𝐿	NOUN
ispiv-158	50	42	−	−	PROPN
ispiv-158	50	43	1	1	NUM
ispiv-158	50	44	2	2	NUM
ispiv-158	50	45	∆𝑇	∆𝑇	NOUN
ispiv-158	50	46	…	…	PUNCT
ispiv-158	50	47	𝐿	𝐿	NOUN
ispiv-158	50	48	−	−	NOUN
ispiv-158	50	49	1	1	NUM
ispiv-158	50	50	2	2	NUM
ispiv-158	50	51	∆𝑇.	∆𝑇.	NOUN
ispiv-158	50	52	(	(	PUNCT
ispiv-158	50	53	1	1	X
ispiv-158	50	54	)	)	PUNCT
ispiv-158	50	55	note	note	VERB
ispiv-158	50	56	that	that	SCONJ
ispiv-158	50	57	𝛏3d	𝛏3d	NOUN
ispiv-158	50	58	=	=	PRON
ispiv-158	50	59	{	{	PUNCT
ispiv-158	50	60	𝛏𝛚	𝛏𝛚	PROPN
ispiv-158	50	61	,	,	PUNCT
ispiv-158	50	62	𝛏𝜕𝛀,𝐮	𝛏𝜕𝛀,𝐮	PROPN
ispiv-158	50	63	,	,	PUNCT
ispiv-158	50	64	𝛏𝜕𝛀,𝜕𝐮/𝜕𝑡	𝛏𝜕𝛀,𝜕𝐮/𝜕𝑡	PROPN
ispiv-158	50	65	}	}	PUNCT
ispiv-158	50	66	,	,	PUNCT
ispiv-158	50	67	∆𝑇	∆𝑇	PROPN
ispiv-158	50	68	is	be	AUX
ispiv-158	50	69	the	the	DET
ispiv-158	50	70	time	time	NOUN
ispiv-158	50	71	interval	interval	NOUN
ispiv-158	50	72	between	between	ADP
ispiv-158	50	73	successive	successive	ADJ
ispiv-158	50	74	ptv	ptv	PROPN
ispiv-158	50	75	instances	instance	NOUN
ispiv-158	50	76	,	,	PUNCT
ispiv-158	50	77	and	and	CCONJ
ispiv-158	50	78	the	the	DET
ispiv-158	50	79	subscription	subscription	NOUN
ispiv-158	50	80	,	,	PUNCT
ispiv-158	50	81	𝜕𝛀	𝜕𝛀	PROPN
ispiv-158	50	82	,	,	PUNCT
ispiv-158	50	83	denotes	denote	VERB
ispiv-158	50	84	that	that	SCONJ
ispiv-158	50	85	the	the	DET
ispiv-158	50	86	variable	variable	NOUN
ispiv-158	50	87	is	be	AUX
ispiv-158	50	88	defined	define	VERB
ispiv-158	50	89	on	on	ADP
ispiv-158	50	90	the	the	DET
ispiv-158	50	91	boundary	boundary	NOUN
ispiv-158	50	92	.	.	PUNCT
ispiv-158	51	1	a	a	DET
ispiv-158	51	2	vorticity	vorticity	NOUN
ispiv-158	51	3	field	field	NOUN
ispiv-158	51	4	and	and	CCONJ
ispiv-158	51	5	boundaries	boundary	NOUN
ispiv-158	51	6	of	of	ADP
ispiv-158	51	7	velocity	velocity	NOUN
ispiv-158	51	8	and	and	CCONJ
ispiv-158	51	9	acceleration	acceleration	NOUN
ispiv-158	51	10	are	be	AUX
ispiv-158	51	11	evaluated	evaluate	VERB
ispiv-158	51	12	by	by	ADP
ispiv-158	51	13	applying	apply	VERB
ispiv-158	51	14	the	the	DET
ispiv-158	51	15	gaussian	gaussian	ADJ
ispiv-158	51	16	radial	radial	ADJ
ispiv-158	51	17	basis	basis	NOUN
ispiv-158	51	18	function	function	NOUN
ispiv-158	51	19	(	(	PUNCT
ispiv-158	51	20	rbf	rbf	PROPN
ispiv-158	51	21	,	,	PUNCT
ispiv-158	51	22	𝜙(𝑟	𝜙(𝑟	PROPN
ispiv-158	51	23	)	)	PUNCT
ispiv-158	51	24	=	=	SYM
ispiv-158	51	25	exp(𝑟2/2.4	exp(𝑟2/2.4	NOUN
ispiv-158	51	26	ℎ2	ℎ2	NOUN
ispiv-158	51	27	)	)	PUNCT
ispiv-158	51	28	)	)	PUNCT
ispiv-158	51	29	to	to	ADP
ispiv-158	51	30	each	each	DET
ispiv-158	51	31	element	element	NOUN
ispiv-158	51	32	in	in	ADP
ispiv-158	51	33	eq	eq	ADJ
ispiv-158	51	34	.	.	PROPN
ispiv-158	51	35	1	1	NUM
ispiv-158	51	36	:	:	PUNCT
ispiv-158	51	37	𝛚(𝐱	𝛚(𝐱	NUM
ispiv-158	51	38	)	)	PUNCT
ispiv-158	52	1	=	=	SYM
ispiv-158	52	2	∑	∑	PUNCT
ispiv-158	52	3	𝛏𝛚,𝑖𝜙(‖𝐱	𝛏𝛚,𝑖𝜙(‖𝐱	PROPN
ispiv-158	52	4	−	−	PROPN
ispiv-158	52	5	𝐱𝑖‖	𝐱𝑖‖	NOUN
ispiv-158	52	6	)	)	PUNCT
ispiv-158	52	7	𝛀	𝛀	PROPN
ispiv-158	52	8	,	,	PUNCT
ispiv-158	52	9	(	(	PUNCT
ispiv-158	52	10	2a	2a	NUM
ispiv-158	52	11	)	)	PUNCT
ispiv-158	52	12	𝐮𝜕𝛀(𝐱	𝐮𝜕𝛀(𝐱	NOUN
ispiv-158	52	13	)	)	PUNCT
ispiv-158	52	14	=	=	PUNCT
ispiv-158	52	15	∑	∑	PUNCT
ispiv-158	52	16	𝛏𝜕𝛀,𝐮𝜙(‖𝐱	𝛏𝜕𝛀,𝐮𝜙(‖𝐱	ADV
ispiv-158	52	17	−	−	PROPN
ispiv-158	52	18	𝐱𝑖‖	𝐱𝑖‖	NOUN
ispiv-158	52	19	)	)	PUNCT
ispiv-158	52	20	𝜕𝛀	𝜕𝛀	NOUN
ispiv-158	52	21	,	,	PUNCT
ispiv-158	52	22	(	(	PUNCT
ispiv-158	52	23	2b	2b	NUM
ispiv-158	52	24	)	)	PUNCT
ispiv-158	52	25	𝜕𝒖	𝜕𝒖	NOUN
ispiv-158	52	26	𝜕𝑡	𝜕𝑡	NOUN
ispiv-158	52	27	|	|	ADV
ispiv-158	52	28	𝜕𝛀	𝜕𝛀	PROPN
ispiv-158	52	29	(	(	PUNCT
ispiv-158	52	30	𝐱	𝐱	NOUN
ispiv-158	52	31	)	)	PUNCT
ispiv-158	52	32	=	=	SYM
ispiv-158	52	33	∑	∑	PUNCT
ispiv-158	52	34	𝛏	𝛏	PROPN
ispiv-158	52	35	𝜕𝛀	𝜕𝛀	PROPN
ispiv-158	52	36	,	,	PUNCT
ispiv-158	52	37	𝜕𝐮	𝜕𝐮	PROPN
ispiv-158	52	38	𝜕𝑡	𝜕𝑡	NOUN
ispiv-158	52	39	𝜙(‖𝐱	𝜙(‖𝐱	NOUN
ispiv-158	52	40	−	−	PROPN
ispiv-158	52	41	𝐱𝑖‖	𝐱𝑖‖	NOUN
ispiv-158	52	42	)	)	PUNCT
ispiv-158	52	43	𝜕𝛀	𝜕𝛀	NOUN
ispiv-158	52	44	.	.	PUNCT
ispiv-158	53	1	(	(	PUNCT
ispiv-158	53	2	2c	2c	NUM
ispiv-158	53	3	)	)	PUNCT
ispiv-158	53	4	a	a	DET
ispiv-158	53	5	velocity	velocity	NOUN
ispiv-158	53	6	field	field	NOUN
ispiv-158	53	7	and	and	CCONJ
ispiv-158	53	8	an	an	DET
ispiv-158	53	9	acceleration	acceleration	NOUN
ispiv-158	53	10	field	field	NOUN
ispiv-158	53	11	are	be	AUX
ispiv-158	53	12	then	then	ADV
ispiv-158	53	13	obtained	obtain	VERB
ispiv-158	53	14	by	by	ADP
ispiv-158	53	15	solving	solve	VERB
ispiv-158	53	16	the	the	DET
ispiv-158	53	17	following	follow	VERB
ispiv-158	53	18	poisson	poisson	NOUN
ispiv-158	53	19	equations	equation	NOUN
ispiv-158	53	20	with	with	ADP
ispiv-158	53	21	the	the	DET
ispiv-158	53	22	prescribed	prescribe	VERB
ispiv-158	53	23	boundary	boundary	ADJ
ispiv-158	53	24	condition	condition	NOUN
ispiv-158	53	25	:	:	PUNCT
ispiv-158	54	1	∇2𝐮	∇2𝐮	VERB
ispiv-158	55	1	=	=	PUNCT
ispiv-158	55	2	−∇	−∇	NOUN
ispiv-158	55	3	×	×	NOUN
ispiv-158	55	4	𝛚	𝛚	NOUN
ispiv-158	56	1	where	where	SCONJ
ispiv-158	56	2	𝐮∂𝛀	𝐮∂𝛀	NOUN
ispiv-158	56	3	=	=	SYM
ispiv-158	56	4	constant	constant	ADJ
ispiv-158	56	5	,	,	PUNCT
ispiv-158	56	6	(	(	PUNCT
ispiv-158	56	7	3	3	X
ispiv-158	56	8	)	)	PUNCT
ispiv-158	56	9	∇2	∇2	PROPN
ispiv-158	56	10	∂𝐮	∂𝐮	PROPN
ispiv-158	56	11	∂𝑡	∂𝑡	PROPN
ispiv-158	57	1	=	=	PUNCT
ispiv-158	57	2	−∇	−∇	NOUN
ispiv-158	57	3	×	×	NOUN
ispiv-158	58	1	∂𝛚	∂𝛚	PROPN
ispiv-158	58	2	∂𝑡	∂𝑡	PROPN
ispiv-158	59	1	where	where	SCONJ
ispiv-158	59	2	∂𝐮	∂𝐮	PROPN
ispiv-158	60	1	∂𝑡	∂𝑡	PROPN
ispiv-158	61	1	|	|	ADV
ispiv-158	61	2	∂𝛀	∂𝛀	X
ispiv-158	61	3	=	=	SYM
ispiv-158	61	4	constant	constant	ADJ
ispiv-158	61	5	.	.	PUNCT
ispiv-158	62	1	(	(	PUNCT
ispiv-158	62	2	4	4	X
ispiv-158	62	3	)	)	PUNCT
ispiv-158	62	4	a	a	DET
ispiv-158	62	5	vorticity	vorticity	NOUN
ispiv-158	62	6	time	time	NOUN
ispiv-158	62	7	derivative	derivative	NOUN
ispiv-158	62	8	is	be	AUX
ispiv-158	62	9	available	available	ADJ
ispiv-158	62	10	from	from	ADP
ispiv-158	62	11	the	the	DET
ispiv-158	62	12	vorticity	vorticity	NOUN
ispiv-158	62	13	transport	transport	NOUN
ispiv-158	62	14	equation	equation	NOUN
ispiv-158	62	15	under	under	ADP
ispiv-158	62	16	the	the	DET
ispiv-158	62	17	inviscid	inviscid	ADJ
ispiv-158	62	18	assumption	assumption	NOUN
ispiv-158	62	19	:	:	PUNCT
ispiv-158	63	1	∂𝛚	∂𝛚	PROPN
ispiv-158	63	2	∂𝑡	∂𝑡	PROPN
ispiv-158	64	1	=	=	PUNCT
ispiv-158	64	2	(	(	PUNCT
ispiv-158	64	3	𝛚	𝛚	PROPN
ispiv-158	64	4	∙	∙	PROPN
ispiv-158	64	5	∇)𝐮	∇)𝐮	PROPN
ispiv-158	64	6	−	−	PROPN
ispiv-158	65	1	(	(	PUNCT
ispiv-158	65	2	𝐮	𝐮	PROPN
ispiv-158	65	3	∙	∙	PROPN
ispiv-158	65	4	∇)𝛚.	∇)𝛚.	PROPN
ispiv-158	65	5	(	(	PUNCT
ispiv-158	65	6	5	5	NUM
ispiv-158	65	7	)	)	PUNCT
ispiv-158	65	8	14th	14th	ADJ
ispiv-158	65	9	international	international	ADJ
ispiv-158	65	10	symposium	symposium	NOUN
ispiv-158	65	11	on	on	ADP
ispiv-158	65	12	particle	particle	NOUN
ispiv-158	65	13	image	image	NOUN
ispiv-158	65	14	velocimetry	velocimetry	NOUN
ispiv-158	65	15	–	–	PUNCT
ispiv-158	65	16	ispiv2021	ispiv2021	PROPN
ispiv-158	65	17	august	august	PROPN
ispiv-158	65	18	1–5	1–5	NUM
ispiv-158	65	19	,	,	PUNCT
ispiv-158	65	20	2021	2021	NUM
ispiv-158	65	21	3	3	NUM
ispiv-158	65	22	a	a	DET
ispiv-158	65	23	material	material	NOUN
ispiv-158	65	24	acceleration	acceleration	NOUN
ispiv-158	65	25	and	and	CCONJ
ispiv-158	65	26	pressure	pressure	NOUN
ispiv-158	65	27	field	field	NOUN
ispiv-158	65	28	can	can	AUX
ispiv-158	65	29	be	be	AUX
ispiv-158	65	30	sequentially	sequentially	ADV
ispiv-158	65	31	evaluated	evaluate	VERB
ispiv-158	65	32	.	.	PUNCT
ispiv-158	66	1	the	the	DET
ispiv-158	66	2	cost	cost	NOUN
ispiv-158	66	3	function	function	NOUN
ispiv-158	66	4	is	be	AUX
ispiv-158	66	5	then	then	ADV
ispiv-158	66	6	evaluated	evaluate	VERB
ispiv-158	66	7	from	from	ADP
ispiv-158	66	8	the	the	DET
ispiv-158	66	9	disparities	disparity	NOUN
ispiv-158	66	10	between	between	ADP
ispiv-158	66	11	the	the	DET
ispiv-158	66	12	reconstruction	reconstruction	NOUN
ispiv-158	66	13	and	and	CCONJ
ispiv-158	66	14	the	the	DET
ispiv-158	66	15	ptv	ptv	PROPN
ispiv-158	66	16	measurement	measurement	NOUN
ispiv-158	66	17	(	(	PUNCT
ispiv-158	66	18	vic+	vic+	NOUN
ispiv-158	66	19	)	)	PUNCT
ispiv-158	66	20	and	and	CCONJ
ispiv-158	66	21	the	the	DET
ispiv-158	66	22	additional	additional	ADJ
ispiv-158	66	23	constraint	constraint	NOUN
ispiv-158	66	24	(	(	PUNCT
ispiv-158	66	25	vic	vic	NOUN
ispiv-158	66	26	#	#	NOUN
ispiv-158	66	27	)	)	PUNCT
ispiv-158	66	28	.	.	PUNCT
ispiv-158	67	1	figure	figure	NOUN
ispiv-158	67	2	1	1	NUM
ispiv-158	67	3	shows	show	VERB
ispiv-158	67	4	a	a	DET
ispiv-158	67	5	schematic	schematic	NOUN
ispiv-158	67	6	of	of	ADP
ispiv-158	67	7	the	the	DET
ispiv-158	67	8	processing	processing	NOUN
ispiv-158	67	9	chain	chain	NOUN
ispiv-158	67	10	of	of	ADP
ispiv-158	67	11	vic	vic	NOUN
ispiv-158	67	12	#	#	PROPN
ispiv-158	67	13	for	for	ADP
ispiv-158	67	14	a	a	DET
ispiv-158	67	15	single	single	ADJ
ispiv-158	67	16	instance	instance	NOUN
ispiv-158	67	17	.	.	PUNCT
ispiv-158	68	1	figure	figure	VERB
ispiv-158	68	2	1	1	NUM
ispiv-158	68	3	:	:	PUNCT
ispiv-158	68	4	schematic	schematic	ADJ
ispiv-158	68	5	of	of	ADP
ispiv-158	68	6	a	a	DET
ispiv-158	68	7	single	single	ADJ
ispiv-158	68	8	vic	vic	NOUN
ispiv-158	68	9	#	#	NOUN
ispiv-158	68	10	procedure	procedure	NOUN
ispiv-158	68	11	because	because	SCONJ
ispiv-158	68	12	vorticity	vorticity	NOUN
ispiv-158	68	13	fields	field	NOUN
ispiv-158	68	14	at	at	ADP
ispiv-158	68	15	other	other	ADJ
ispiv-158	68	16	time	time	NOUN
ispiv-158	68	17	steps	step	NOUN
ispiv-158	68	18	than	than	SCONJ
ispiv-158	68	19	𝑡0	𝑡0	PROPN
ispiv-158	68	20	are	be	AUX
ispiv-158	68	21	not	not	PART
ispiv-158	68	22	included	include	VERB
ispiv-158	68	23	in	in	ADP
ispiv-158	68	24	the	the	DET
ispiv-158	68	25	optimization	optimization	NOUN
ispiv-158	68	26	variable	variable	NOUN
ispiv-158	68	27	(	(	PUNCT
ispiv-158	68	28	eq	eq	NOUN
ispiv-158	68	29	.	.	PROPN
ispiv-158	68	30	1	1	NUM
ispiv-158	68	31	)	)	PUNCT
ispiv-158	68	32	,	,	PUNCT
ispiv-158	68	33	they	they	PRON
ispiv-158	68	34	must	must	AUX
ispiv-158	68	35	be	be	AUX
ispiv-158	68	36	obtained	obtain	VERB
ispiv-158	68	37	explicitly	explicitly	ADV
ispiv-158	68	38	from	from	ADP
ispiv-158	68	39	the	the	DET
ispiv-158	68	40	reconstruction	reconstruction	NOUN
ispiv-158	68	41	at	at	ADP
ispiv-158	68	42	𝑡0	𝑡0	NOUN
ispiv-158	68	43	,	,	PUNCT
ispiv-158	68	44	and	and	CCONJ
ispiv-158	68	45	thus	thus	ADV
ispiv-158	68	46	eulerian	eulerian	ADJ
ispiv-158	68	47	time	time	NOUN
ispiv-158	68	48	-	-	PUNCT
ispiv-158	68	49	marching	marching	NOUN
ispiv-158	68	50	is	be	AUX
ispiv-158	68	51	employed	employ	VERB
ispiv-158	68	52	:	:	PUNCT
ispiv-158	68	53	𝛚(𝑡0	𝛚(𝑡0	NOUN
ispiv-158	69	1	+	+	CCONJ
ispiv-158	69	2	𝑡	𝑡	X
ispiv-158	69	3	)	)	PUNCT
ispiv-158	69	4	=	=	SYM
ispiv-158	69	5	𝛚(𝑡0	𝛚(𝑡0	NOUN
ispiv-158	69	6	)	)	PUNCT
ispiv-158	70	1	+	+	CCONJ
ispiv-158	70	2	∫	∫	PROPN
ispiv-158	70	3	𝜕𝛚	𝜕𝛚	PROPN
ispiv-158	70	4	𝜕𝑡	𝜕𝑡	PROPN
ispiv-158	70	5	(	(	PUNCT
ispiv-158	70	6	𝑡0	𝑡0	PROPN
ispiv-158	70	7	+	+	CCONJ
ispiv-158	70	8	𝜏)d𝜏	𝜏)d𝜏	PROPN
ispiv-158	70	9	𝑡	𝑡	ADJ
ispiv-158	70	10	𝑡0	𝑡0	NOUN
ispiv-158	70	11	(	(	PUNCT
ispiv-158	70	12	6	6	NUM
ispiv-158	70	13	)	)	PUNCT
ispiv-158	70	14	its	its	PRON
ispiv-158	70	15	discrete	discrete	ADJ
ispiv-158	70	16	implementation	implementation	NOUN
ispiv-158	70	17	can	can	AUX
ispiv-158	70	18	be	be	AUX
ispiv-158	70	19	expressed	express	VERB
ispiv-158	70	20	as	as	ADP
ispiv-158	70	21	the	the	DET
ispiv-158	70	22	forward	forward	ADJ
ispiv-158	70	23	eulerian	eulerian	ADJ
ispiv-158	70	24	method	method	NOUN
ispiv-158	70	25	:	:	PUNCT
ispiv-158	70	26	𝛚	𝛚	NOUN
ispiv-158	70	27	(	(	PUNCT
ispiv-158	70	28	𝑡0	𝑡0	PROPN
ispiv-158	70	29	+	+	CCONJ
ispiv-158	70	30	∆𝑇	∆𝑇	PROPN
ispiv-158	70	31	𝑀	𝑀	PROPN
ispiv-158	70	32	)	)	PUNCT
ispiv-158	71	1	=	=	SYM
ispiv-158	71	2	𝛚(𝑡0	𝛚(𝑡0	NOUN
ispiv-158	71	3	)	)	PUNCT
ispiv-158	72	1	+	+	CCONJ
ispiv-158	72	2	∆𝑇	∆𝑇	AUX
ispiv-158	72	3	𝑀	𝑀	PROPN
ispiv-158	72	4	∂𝛚	∂𝛚	PROPN
ispiv-158	73	1	∂𝑡	∂𝑡	PROPN
ispiv-158	73	2	(	(	PUNCT
ispiv-158	73	3	𝑡0	𝑡0	PROPN
ispiv-158	73	4	)	)	PUNCT
ispiv-158	73	5	,	,	PUNCT
ispiv-158	73	6	(	(	PUNCT
ispiv-158	73	7	7	7	X
ispiv-158	73	8	)	)	PUNCT
ispiv-158	73	9	where	where	SCONJ
ispiv-158	73	10	𝑀	𝑀	PROPN
ispiv-158	73	11	is	be	AUX
ispiv-158	73	12	the	the	DET
ispiv-158	73	13	time	time	NOUN
ispiv-158	73	14	marching	marching	NOUN
ispiv-158	73	15	frequency	frequency	NOUN
ispiv-158	73	16	defined	define	VERB
ispiv-158	73	17	as	as	ADP
ispiv-158	73	18	𝑀	𝑀	PROPN
ispiv-158	73	19	=	=	PUNCT
ispiv-158	73	20	∆𝑇/𝛥𝑡marching	∆𝑇/𝛥𝑡marching	NOUN
ispiv-158	73	21	.	.	PUNCT
ispiv-158	74	1	when	when	SCONJ
ispiv-158	74	2	𝑀	𝑀	PROPN
ispiv-158	74	3	>	>	X
ispiv-158	74	4	1	1	NUM
ispiv-158	74	5	,	,	PUNCT
ispiv-158	74	6	reconstructions	reconstruction	NOUN
ispiv-158	74	7	at	at	ADP
ispiv-158	74	8	fractional	fractional	ADJ
ispiv-158	74	9	instances	instance	NOUN
ispiv-158	74	10	are	be	AUX
ispiv-158	74	11	required	require	VERB
ispiv-158	74	12	,	,	PUNCT
ispiv-158	74	13	and	and	CCONJ
ispiv-158	74	14	the	the	DET
ispiv-158	74	15	corresponding	corresponding	ADJ
ispiv-158	74	16	boundary	boundary	ADJ
ispiv-158	74	17	conditions	condition	NOUN
ispiv-158	74	18	are	be	AUX
ispiv-158	74	19	interpolated	interpolate	VERB
ispiv-158	74	20	,	,	PUNCT
ispiv-158	74	21	linearly	linearly	ADV
ispiv-158	74	22	for	for	ADP
ispiv-158	74	23	acceleration	acceleration	NOUN
ispiv-158	74	24	and	and	CCONJ
ispiv-158	74	25	quadratic	quadratic	NOUN
ispiv-158	74	26	for	for	ADP
ispiv-158	74	27	velocity	velocity	NOUN
ispiv-158	74	28	.	.	PUNCT
ispiv-158	75	1	figure	figure	NOUN
ispiv-158	75	2	2	2	NUM
ispiv-158	75	3	illustrates	illustrate	NOUN
ispiv-158	75	4	which	which	DET
ispiv-158	75	5	flow	flow	NOUN
ispiv-158	75	6	variables	variable	NOUN
ispiv-158	75	7	are	be	AUX
ispiv-158	75	8	reconstructed	reconstruct	VERB
ispiv-158	75	9	in	in	ADP
ispiv-158	75	10	vic	vic	NOUN
ispiv-158	75	11	#	#	NOUN
ispiv-158	75	12	and	and	CCONJ
ispiv-158	75	13	the	the	DET
ispiv-158	75	14	proposed	propose	VERB
ispiv-158	75	15	4d	4d	NUM
ispiv-158	75	16	approach	approach	NOUN
ispiv-158	75	17	,	,	PUNCT
ispiv-158	75	18	respectively	respectively	ADV
ispiv-158	75	19	.	.	PUNCT
ispiv-158	76	1	figure	figure	NOUN
ispiv-158	76	2	2	2	NUM
ispiv-158	76	3	:	:	PUNCT
ispiv-158	76	4	comparison	comparison	NOUN
ispiv-158	76	5	of	of	ADP
ispiv-158	76	6	3d	3d	NUM
ispiv-158	76	7	and	and	CCONJ
ispiv-158	76	8	4d	4d	NOUN
ispiv-158	76	9	approaches	approach	NOUN
ispiv-158	76	10	when	when	SCONJ
ispiv-158	76	11	l	l	NOUN
ispiv-158	76	12	=	=	SYM
ispiv-158	76	13	5	5	NUM
ispiv-158	76	14	and	and	CCONJ
ispiv-158	76	15	m	m	VERB
ispiv-158	76	16	=	=	ADJ
ispiv-158	76	17	2	2	NUM
ispiv-158	76	18	:	:	PUNCT
ispiv-158	76	19	squares	square	NOUN
ispiv-158	76	20	indicate	indicate	VERB
ispiv-158	76	21	a	a	DET
ispiv-158	76	22	volumetric	volumetric	ADJ
ispiv-158	76	23	flow	flow	NOUN
ispiv-158	76	24	variable	variable	NOUN
ispiv-158	76	25	where	where	SCONJ
ispiv-158	76	26	their	their	PRON
ispiv-158	76	27	outlines	outline	NOUN
ispiv-158	76	28	are	be	AUX
ispiv-158	76	29	boundaries	boundary	NOUN
ispiv-158	76	30	.	.	PUNCT
ispiv-158	77	1	dashed	dash	VERB
ispiv-158	77	2	lines	line	NOUN
ispiv-158	77	3	indicate	indicate	VERB
ispiv-158	77	4	the	the	DET
ispiv-158	77	5	interpolations	interpolation	NOUN
ispiv-158	77	6	at	at	ADP
ispiv-158	77	7	fractional	fractional	ADJ
ispiv-158	77	8	instances	instance	NOUN
ispiv-158	77	9	.	.	PUNCT
ispiv-158	78	1	14th	14th	ADJ
ispiv-158	78	2	international	international	ADJ
ispiv-158	78	3	symposium	symposium	NOUN
ispiv-158	78	4	on	on	ADP
ispiv-158	78	5	particle	particle	NOUN
ispiv-158	78	6	image	image	NOUN
ispiv-158	78	7	velocimetry	velocimetry	NOUN
ispiv-158	78	8	–	–	PUNCT
ispiv-158	78	9	ispiv2021	ispiv2021	PROPN
ispiv-158	78	10	august	august	PROPN
ispiv-158	78	11	1–5	1–5	NUM
ispiv-158	78	12	,	,	PUNCT
ispiv-158	78	13	2021	2021	NUM
ispiv-158	78	14	4	4	NUM
ispiv-158	78	15	the	the	DET
ispiv-158	78	16	time	time	NOUN
ispiv-158	78	17	marching	marching	NOUN
ispiv-158	78	18	is	be	AUX
ispiv-158	78	19	conducted	conduct	VERB
ispiv-158	78	20	forward	forward	ADV
ispiv-158	78	21	and	and	CCONJ
ispiv-158	78	22	backward	backward	ADJ
ispiv-158	78	23	till	till	SCONJ
ispiv-158	78	24	the	the	DET
ispiv-158	78	25	entire	entire	ADJ
ispiv-158	78	26	reconstructions	reconstruction	NOUN
ispiv-158	78	27	are	be	AUX
ispiv-158	78	28	completed	complete	VERB
ispiv-158	78	29	.	.	PUNCT
ispiv-158	79	1	at	at	ADP
ispiv-158	79	2	the	the	DET
ispiv-158	79	3	fractional	fractional	ADJ
ispiv-158	79	4	instances	instance	NOUN
ispiv-158	79	5	,	,	PUNCT
ispiv-158	79	6	because	because	SCONJ
ispiv-158	79	7	only	only	ADV
ispiv-158	79	8	∂𝛚/	∂𝛚/	ADV
ispiv-158	79	9	∂𝑡	∂𝑡	PROPN
ispiv-158	79	10	is	be	AUX
ispiv-158	79	11	required	require	VERB
ispiv-158	79	12	,	,	PUNCT
ispiv-158	79	13	only	only	ADV
ispiv-158	79	14	partial	partial	ADJ
ispiv-158	79	15	computations	computation	NOUN
ispiv-158	79	16	are	be	AUX
ispiv-158	79	17	required	require	VERB
ispiv-158	79	18	:	:	PUNCT
ispiv-158	79	19	approximately	approximately	ADV
ispiv-158	79	20	6/13	6/13	NUM
ispiv-158	79	21	based	base	VERB
ispiv-158	79	22	on	on	ADP
ispiv-158	79	23	the	the	DET
ispiv-158	79	24	number	number	NOUN
ispiv-158	79	25	of	of	ADP
ispiv-158	79	26	poisson	poisson	PROPN
ispiv-158	79	27	equations	equation	NOUN
ispiv-158	79	28	to	to	PART
ispiv-158	79	29	solve	solve	VERB
ispiv-158	79	30	.	.	PUNCT
ispiv-158	80	1	a	a	DET
ispiv-158	80	2	large	large	ADJ
ispiv-158	80	3	value	value	NOUN
ispiv-158	80	4	of	of	ADP
ispiv-158	80	5	𝑀	𝑀	PROPN
ispiv-158	80	6	is	be	AUX
ispiv-158	80	7	generally	generally	ADV
ispiv-158	80	8	required	require	VERB
ispiv-158	80	9	to	to	PART
ispiv-158	80	10	suppress	suppress	VERB
ispiv-158	80	11	an	an	DET
ispiv-158	80	12	accumulated	accumulate	VERB
ispiv-158	80	13	truncation	truncation	NOUN
ispiv-158	80	14	error	error	NOUN
ispiv-158	80	15	due	due	ADP
ispiv-158	80	16	to	to	ADP
ispiv-158	80	17	the	the	DET
ispiv-158	80	18	explicit	explicit	ADJ
ispiv-158	80	19	nature	nature	NOUN
ispiv-158	80	20	of	of	ADP
ispiv-158	80	21	the	the	DET
ispiv-158	80	22	time	time	NOUN
ispiv-158	80	23	-	-	PUNCT
ispiv-158	80	24	marching	marching	NOUN
ispiv-158	80	25	but	but	CCONJ
ispiv-158	80	26	also	also	ADV
ispiv-158	80	27	increases	increase	VERB
ispiv-158	80	28	the	the	DET
ispiv-158	80	29	computation	computation	NOUN
ispiv-158	80	30	time	time	NOUN
ispiv-158	80	31	.	.	PUNCT
ispiv-158	81	1	since	since	SCONJ
ispiv-158	81	2	the	the	DET
ispiv-158	81	3	majority	majority	NOUN
ispiv-158	81	4	of	of	ADP
ispiv-158	81	5	computation	computation	NOUN
ispiv-158	81	6	time	time	NOUN
ispiv-158	81	7	is	be	AUX
ispiv-158	81	8	spent	spend	VERB
ispiv-158	81	9	solving	solve	VERB
ispiv-158	81	10	poisson	poisson	NOUN
ispiv-158	81	11	equations	equation	NOUN
ispiv-158	81	12	,	,	PUNCT
ispiv-158	81	13	the	the	DET
ispiv-158	81	14	following	follow	VERB
ispiv-158	81	15	estimate	estimate	NOUN
ispiv-158	81	16	can	can	AUX
ispiv-158	81	17	be	be	AUX
ispiv-158	81	18	made	make	VERB
ispiv-158	81	19	:	:	PUNCT
ispiv-158	81	20	(	(	PUNCT
ispiv-158	81	21	computation	computation	NOUN
ispiv-158	81	22	time)4d	time)4d	PROPN
ispiv-158	81	23	vic	vic	NOUN
ispiv-158	81	24	#	#	NOUN
ispiv-158	81	25	(	(	PUNCT
ispiv-158	81	26	computation	computation	NOUN
ispiv-158	81	27	time)3d	time)3d	PROPN
ispiv-158	81	28	vic	vic	NOUN
ispiv-158	81	29	#	#	PROPN
ispiv-158	81	30	≅	≅	PROPN
ispiv-158	81	31	𝐿	𝐿	PROPN
ispiv-158	81	32	+	+	ADP
ispiv-158	81	33	6	6	NUM
ispiv-158	81	34	13	13	NUM
ispiv-158	81	35	(	(	PUNCT
ispiv-158	81	36	𝐿	𝐿	PROPN
ispiv-158	81	37	−	−	PROPN
ispiv-158	81	38	1)(𝑀	1)(𝑀	PROPN
ispiv-158	81	39	−	−	PROPN
ispiv-158	81	40	1	1	NUM
ispiv-158	81	41	)	)	PUNCT
ispiv-158	81	42	.	.	PUNCT
ispiv-158	82	1	(	(	PUNCT
ispiv-158	82	2	8)	8)	NUM
ispiv-158	82	3	after	after	SCONJ
ispiv-158	82	4	the	the	DET
ispiv-158	82	5	time	time	NOUN
ispiv-158	82	6	marching	marching	NOUN
ispiv-158	82	7	is	be	AUX
ispiv-158	82	8	over	over	ADV
ispiv-158	82	9	,	,	PUNCT
ispiv-158	82	10	the	the	DET
ispiv-158	82	11	cost	cost	NOUN
ispiv-158	82	12	functions	function	NOUN
ispiv-158	82	13	at	at	ADP
ispiv-158	82	14	all	all	DET
ispiv-158	82	15	the	the	DET
ispiv-158	82	16	available	available	ADJ
ispiv-158	82	17	ptv	ptv	NOUN
ispiv-158	82	18	instances	instance	NOUN
ispiv-158	82	19	are	be	AUX
ispiv-158	82	20	collected	collect	VERB
ispiv-158	82	21	.	.	PUNCT
ispiv-158	83	1	at	at	ADP
ispiv-158	83	2	each	each	DET
ispiv-158	83	3	ptv	ptv	INTJ
ispiv-158	83	4	instance	instance	NOUN
ispiv-158	83	5	(	(	PUNCT
ispiv-158	83	6	𝑡	𝑡	X
ispiv-158	83	7	=	=	SYM
ispiv-158	83	8	(	(	PUNCT
ispiv-158	83	9	𝐿	𝐿	PROPN
ispiv-158	83	10	−	−	PROPN
ispiv-158	83	11	1)∆𝑇/2	1)∆𝑇/2	NUM
ispiv-158	83	12	…	…	PUNCT
ispiv-158	83	13	(	(	PUNCT
ispiv-158	83	14	𝐿	𝐿	PROPN
ispiv-158	83	15	−	−	PROPN
ispiv-158	83	16	1)∆𝑇/2	1)∆𝑇/2	NUM
ispiv-158	83	17	)	)	PUNCT
ispiv-158	83	18	,	,	PUNCT
ispiv-158	83	19	the	the	DET
ispiv-158	83	20	adjoint	adjoint	NOUN
ispiv-158	83	21	procedure	procedure	NOUN
ispiv-158	83	22	in	in	ADP
ispiv-158	83	23	vic	vic	NOUN
ispiv-158	83	24	#	#	NOUN
ispiv-158	83	25	transforms	transform	VERB
ispiv-158	83	26	the	the	DET
ispiv-158	83	27	cost	cost	NOUN
ispiv-158	83	28	function	function	NOUN
ispiv-158	83	29	into	into	ADP
ispiv-158	83	30	the	the	DET
ispiv-158	83	31	adjoints	adjoint	NOUN
ispiv-158	83	32	on	on	ADP
ispiv-158	83	33	the	the	DET
ispiv-158	83	34	optimization	optimization	NOUN
ispiv-158	83	35	variable	variable	NOUN
ispiv-158	83	36	.	.	PUNCT
ispiv-158	84	1	the	the	DET
ispiv-158	84	2	adjoint	adjoint	NOUN
ispiv-158	84	3	procedure	procedure	NOUN
ispiv-158	84	4	is	be	AUX
ispiv-158	84	5	conducted	conduct	VERB
ispiv-158	84	6	in	in	ADP
ispiv-158	84	7	reverse	reverse	ADJ
ispiv-158	84	8	order	order	NOUN
ispiv-158	84	9	of	of	ADP
ispiv-158	84	10	the	the	DET
ispiv-158	84	11	vic	vic	NOUN
ispiv-158	84	12	#	#	NOUN
ispiv-158	84	13	processing	processing	NOUN
ispiv-158	84	14	chain	chain	NOUN
ispiv-158	84	15	illustrated	illustrate	VERB
ispiv-158	84	16	in	in	ADP
ispiv-158	84	17	fig	fig	NOUN
ispiv-158	84	18	.	.	PUNCT
ispiv-158	85	1	1	1	X
ispiv-158	85	2	.	.	X
ispiv-158	85	3	similarly	similarly	ADV
ispiv-158	85	4	,	,	PUNCT
ispiv-158	85	5	in	in	ADP
ispiv-158	85	6	the	the	DET
ispiv-158	85	7	present	present	ADJ
ispiv-158	85	8	4d	4d	NUM
ispiv-158	85	9	approach	approach	NOUN
ispiv-158	85	10	,	,	PUNCT
ispiv-158	85	11	the	the	DET
ispiv-158	85	12	vorticity	vorticity	NOUN
ispiv-158	85	13	adjoint	adjoint	NOUN
ispiv-158	85	14	at	at	ADP
ispiv-158	85	15	the	the	DET
ispiv-158	85	16	simulated	simulated	ADJ
ispiv-158	85	17	instance	instance	NOUN
ispiv-158	85	18	(	(	PUNCT
ispiv-158	85	19	𝑡	𝑡	PROPN
ispiv-158	85	20	≠	≠	PROPN
ispiv-158	85	21	0	0	NUM
ispiv-158	85	22	)	)	PUNCT
ispiv-158	85	23	,	,	PUNCT
ispiv-158	85	24	δ∗𝛚	δ∗𝛚	PUNCT
ispiv-158	85	25	(	(	PUNCT
ispiv-158	85	26	𝑡	𝑡	NOUN
ispiv-158	85	27	)	)	PUNCT
ispiv-158	85	28	,	,	PUNCT
ispiv-158	85	29	is	be	AUX
ispiv-158	85	30	transformed	transform	VERB
ispiv-158	85	31	into	into	ADP
ispiv-158	85	32	the	the	DET
ispiv-158	85	33	adjoints	adjoint	NOUN
ispiv-158	85	34	at	at	ADP
ispiv-158	85	35	the	the	DET
ispiv-158	85	36	previous	previous	ADJ
ispiv-158	85	37	reconstruction	reconstruction	NOUN
ispiv-158	85	38	instance	instance	NOUN
ispiv-158	85	39	(	(	PUNCT
ispiv-158	85	40	𝑡	𝑡	PROPN
ispiv-158	85	41	−	−	NOUN
ispiv-158	85	42	∆𝑇/𝑀	∆𝑇/𝑀	ADJ
ispiv-158	85	43	):	):	PUNCT
ispiv-158	85	44	δ∗𝛚	δ∗𝛚	PUNCT
ispiv-158	85	45	(	(	PUNCT
ispiv-158	85	46	𝑡	𝑡	PROPN
ispiv-158	85	47	−	−	PROPN
ispiv-158	85	48	∆𝑇	∆𝑇	PROPN
ispiv-158	85	49	𝑀	𝑀	PROPN
ispiv-158	85	50	)	)	PUNCT
ispiv-158	86	1	=	=	PRON
ispiv-158	86	2	δ∗𝛚	δ∗𝛚	PUNCT
ispiv-158	86	3	(	(	PUNCT
ispiv-158	86	4	𝑡	𝑡	X
ispiv-158	86	5	)	)	PUNCT
ispiv-158	86	6	(	(	PUNCT
ispiv-158	86	7	9a	9a	NOUN
ispiv-158	86	8	)	)	PUNCT
ispiv-158	86	9	δ∗	δ∗	NOUN
ispiv-158	87	1	∂𝛚	∂𝛚	PROPN
ispiv-158	88	1	∂𝑡	∂𝑡	PROPN
ispiv-158	88	2	(	(	PUNCT
ispiv-158	88	3	𝑡	𝑡	PROPN
ispiv-158	88	4	−	−	PROPN
ispiv-158	88	5	∆𝑇	∆𝑇	PROPN
ispiv-158	88	6	𝑀	𝑀	PROPN
ispiv-158	88	7	)	)	PUNCT
ispiv-158	89	1	=	=	SYM
ispiv-158	89	2	∆𝑇	∆𝑇	PROPN
ispiv-158	89	3	𝑀	𝑀	PROPN
ispiv-158	89	4	δ∗𝛚	δ∗𝛚	PUNCT
ispiv-158	89	5	(	(	PUNCT
ispiv-158	89	6	𝑡	𝑡	X
ispiv-158	89	7	)	)	PUNCT
ispiv-158	89	8	(	(	PUNCT
ispiv-158	89	9	9b	9b	NUM
ispiv-158	89	10	)	)	PUNCT
ispiv-158	89	11	the	the	DET
ispiv-158	89	12	adjoint	adjoint	NOUN
ispiv-158	89	13	procedures	procedure	NOUN
ispiv-158	89	14	,	,	PUNCT
ispiv-158	89	15	in	in	ADP
ispiv-158	89	16	vic	vic	NOUN
ispiv-158	89	17	#	#	NOUN
ispiv-158	89	18	and	and	CCONJ
ispiv-158	89	19	eq	eq	NOUN
ispiv-158	89	20	.	.	PROPN
ispiv-158	89	21	9	9	NUM
ispiv-158	89	22	,	,	PUNCT
ispiv-158	89	23	are	be	AUX
ispiv-158	89	24	repeated	repeat	VERB
ispiv-158	89	25	till	till	SCONJ
ispiv-158	89	26	all	all	DET
ispiv-158	89	27	the	the	DET
ispiv-158	89	28	adjoints	adjoint	NOUN
ispiv-158	89	29	are	be	AUX
ispiv-158	89	30	gathered	gather	VERB
ispiv-158	89	31	on	on	ADP
ispiv-158	89	32	δ∗𝛚(𝑡0	δ∗𝛚(𝑡0	NOUN
ispiv-158	89	33	)	)	PUNCT
ispiv-158	89	34	.	.	PUNCT
ispiv-158	90	1	then	then	ADV
ispiv-158	90	2	,	,	PUNCT
ispiv-158	90	3	the	the	DET
ispiv-158	90	4	optimization	optimization	NOUN
ispiv-158	90	5	variables	variable	NOUN
ispiv-158	90	6	can	can	AUX
ispiv-158	90	7	be	be	AUX
ispiv-158	90	8	updated	update	VERB
ispiv-158	90	9	by	by	ADP
ispiv-158	90	10	using	use	VERB
ispiv-158	90	11	the	the	DET
ispiv-158	90	12	limited	limited	ADJ
ispiv-158	90	13	-	-	PUNCT
ispiv-158	90	14	memory	memory	NOUN
ispiv-158	90	15	broyden	broyden	NOUN
ispiv-158	90	16	-	-	PUNCT
ispiv-158	90	17	fletcher	fletcher	NOUN
ispiv-158	90	18	-	-	PUNCT
ispiv-158	90	19	goldfarb	goldfarb	NOUN
ispiv-158	90	20	-	-	PUNCT
ispiv-158	90	21	shanno	shanno	NOUN
ispiv-158	90	22	method	method	NOUN
ispiv-158	90	23	(	(	PUNCT
ispiv-158	90	24	l	l	NOUN
ispiv-158	90	25	-	-	ADJ
ispiv-158	90	26	bfgs	bfgs	ADJ
ispiv-158	90	27	,	,	PUNCT
ispiv-158	90	28	liu	liu	PROPN
ispiv-158	90	29	and	and	CCONJ
ispiv-158	90	30	nocedal	nocedal	ADJ
ispiv-158	90	31	,	,	PUNCT
ispiv-158	90	32	1989	1989	NUM
ispiv-158	90	33	)	)	PUNCT
ispiv-158	90	34	.	.	PUNCT
ispiv-158	91	1	in	in	ADP
ispiv-158	91	2	this	this	DET
ispiv-158	91	3	study	study	NOUN
ispiv-158	91	4	,	,	PUNCT
ispiv-158	91	5	a	a	DET
ispiv-158	91	6	prescribed	prescribed	ADJ
ispiv-158	91	7	number	number	NOUN
ispiv-158	91	8	of	of	ADP
ispiv-158	91	9	l	l	ADJ
ispiv-158	91	10	-	-	ADJ
ispiv-158	91	11	bfgs	bfgs	ADJ
ispiv-158	91	12	iterations	iteration	NOUN
ispiv-158	91	13	is	be	AUX
ispiv-158	91	14	used	use	VERB
ispiv-158	91	15	.	.	PUNCT
ispiv-158	92	1	the	the	DET
ispiv-158	92	2	fourth	fourth	ADJ
ispiv-158	92	3	-	-	PUNCT
ispiv-158	92	4	order	order	NOUN
ispiv-158	92	5	runge	runge	NOUN
ispiv-158	92	6	-	-	PUNCT
ispiv-158	92	7	kutta	kutta	NOUN
ispiv-158	92	8	method	method	NOUN
ispiv-158	92	9	(	(	PUNCT
ispiv-158	92	10	rk4	rk4	NOUN
ispiv-158	92	11	)	)	PUNCT
ispiv-158	92	12	is	be	AUX
ispiv-158	92	13	a	a	DET
ispiv-158	92	14	high	high	ADJ
ispiv-158	92	15	order	order	NOUN
ispiv-158	92	16	accurate	accurate	ADJ
ispiv-158	92	17	numerical	numerical	ADJ
ispiv-158	92	18	method	method	NOUN
ispiv-158	92	19	among	among	ADP
ispiv-158	92	20	the	the	DET
ispiv-158	92	21	explicit	explicit	ADJ
ispiv-158	92	22	time	time	NOUN
ispiv-158	92	23	-	-	PUNCT
ispiv-158	92	24	marching	marching	NOUN
ispiv-158	92	25	method	method	NOUN
ispiv-158	92	26	.	.	PUNCT
ispiv-158	93	1	since	since	SCONJ
ispiv-158	93	2	the	the	DET
ispiv-158	93	3	rk4	rk4	NOUN
ispiv-158	93	4	is	be	AUX
ispiv-158	93	5	a	a	DET
ispiv-158	93	6	combination	combination	NOUN
ispiv-158	93	7	of	of	ADP
ispiv-158	93	8	multiple	multiple	ADJ
ispiv-158	93	9	euler	euler	NOUN
ispiv-158	93	10	methods	method	NOUN
ispiv-158	93	11	,	,	PUNCT
ispiv-158	93	12	it	it	PRON
ispiv-158	93	13	can	can	AUX
ispiv-158	93	14	be	be	AUX
ispiv-158	93	15	applied	apply	VERB
ispiv-158	93	16	without	without	ADP
ispiv-158	93	17	much	much	ADJ
ispiv-158	93	18	difficulty	difficulty	NOUN
ispiv-158	93	19	.	.	PUNCT
ispiv-158	94	1	here	here	ADV
ispiv-158	94	2	the	the	DET
ispiv-158	94	3	rk4	rk4	NOUN
ispiv-158	94	4	requires	require	VERB
ispiv-158	94	5	the	the	DET
ispiv-158	94	6	same	same	ADJ
ispiv-158	94	7	computation	computation	NOUN
ispiv-158	94	8	resource	resource	NOUN
ispiv-158	94	9	that	that	PRON
ispiv-158	94	10	of	of	ADP
ispiv-158	94	11	the	the	DET
ispiv-158	94	12	euler	euler	NOUN
ispiv-158	94	13	method	method	NOUN
ispiv-158	94	14	when	when	SCONJ
ispiv-158	94	15	m	m	VERB
ispiv-158	94	16	=	=	SYM
ispiv-158	94	17	4	4	X
ispiv-158	94	18	.	.	X
ispiv-158	94	19	figure	figure	VERB
ispiv-158	94	20	3	3	NUM
ispiv-158	94	21	illustrates	illustrate	VERB
ispiv-158	94	22	how	how	SCONJ
ispiv-158	94	23	the	the	DET
ispiv-158	94	24	sequential	sequential	ADJ
ispiv-158	94	25	computations	computation	NOUN
ispiv-158	94	26	between	between	ADP
ispiv-158	94	27	two	two	NUM
ispiv-158	94	28	instances	instance	NOUN
ispiv-158	94	29	are	be	AUX
ispiv-158	94	30	conducted	conduct	VERB
ispiv-158	94	31	by	by	ADP
ispiv-158	94	32	the	the	DET
ispiv-158	94	33	euler	euler	NOUN
ispiv-158	94	34	method	method	NOUN
ispiv-158	94	35	and	and	CCONJ
ispiv-158	94	36	the	the	DET
ispiv-158	94	37	rk4	rk4	NOUN
ispiv-158	94	38	method	method	NOUN
ispiv-158	94	39	,	,	PUNCT
ispiv-158	94	40	respectively	respectively	ADV
ispiv-158	94	41	.	.	PUNCT
ispiv-158	95	1	𝛚(𝑡	𝛚(𝑡	PROPN
ispiv-158	95	2	+	+	CCONJ
ispiv-158	95	3	∆𝑇	∆𝑇	PROPN
ispiv-158	95	4	)	)	PUNCT
ispiv-158	96	1	=	=	SYM
ispiv-158	96	2	𝛚	𝛚	PROPN
ispiv-158	96	3	(	(	PUNCT
ispiv-158	96	4	𝑡	𝑡	NOUN
ispiv-158	96	5	)	)	PUNCT
ispiv-158	97	1	+	+	CCONJ
ispiv-158	97	2	∆𝑇	∆𝑇	PROPN
ispiv-158	97	3	4	4	NUM
ispiv-158	97	4	(	(	PUNCT
ispiv-158	97	5	𝑘1	𝑘1	ADJ
ispiv-158	97	6	+	+	CCONJ
ispiv-158	97	7	𝑘2	𝑘2	PROPN
ispiv-158	97	8	+	+	CCONJ
ispiv-158	97	9	𝑘3	𝑘3	PROPN
ispiv-158	97	10	+	+	CCONJ
ispiv-158	97	11	𝑘4	𝑘4	PROPN
ispiv-158	97	12	)	)	PUNCT
ispiv-158	97	13	𝛚(𝑡	𝛚(𝑡	PROPN
ispiv-158	97	14	+	+	CCONJ
ispiv-158	97	15	∆𝑇	∆𝑇	PROPN
ispiv-158	97	16	)	)	PUNCT
ispiv-158	97	17	=	=	SYM
ispiv-158	97	18	𝛚	𝛚	PROPN
ispiv-158	97	19	(	(	PUNCT
ispiv-158	97	20	𝑡	𝑡	NOUN
ispiv-158	97	21	)	)	PUNCT
ispiv-158	97	22	+	+	CCONJ
ispiv-158	97	23	∆𝑇	∆𝑇	PROPN
ispiv-158	97	24	6	6	NUM
ispiv-158	97	25	(	(	PUNCT
ispiv-158	97	26	𝑘1	𝑘1	PROPN
ispiv-158	97	27	+	+	CCONJ
ispiv-158	97	28	2𝑘2	2𝑘2	NUM
ispiv-158	97	29	+	+	CCONJ
ispiv-158	97	30	2𝑘3	2𝑘3	NUM
ispiv-158	97	31	+	+	NUM
ispiv-158	97	32	𝑘4	𝑘4	PROPN
ispiv-158	97	33	)	)	PUNCT
ispiv-158	97	34	figure	figure	NOUN
ispiv-158	97	35	3	3	NUM
ispiv-158	97	36	:	:	PUNCT
ispiv-158	97	37	schematics	schematic	NOUN
ispiv-158	97	38	or	or	CCONJ
ispiv-158	97	39	the	the	DET
ispiv-158	97	40	euler	euler	NOUN
ispiv-158	97	41	method	method	NOUN
ispiv-158	97	42	when	when	SCONJ
ispiv-158	97	43	m	m	VERB
ispiv-158	97	44	=	=	VERB
ispiv-158	97	45	4	4	NUM
ispiv-158	97	46	(	(	PUNCT
ispiv-158	97	47	left	leave	VERB
ispiv-158	97	48	)	)	PUNCT
ispiv-158	97	49	and	and	CCONJ
ispiv-158	97	50	the	the	DET
ispiv-158	97	51	rk4	rk4	NOUN
ispiv-158	97	52	method	method	NOUN
ispiv-158	97	53	(	(	PUNCT
ispiv-158	97	54	right	right	ADJ
ispiv-158	97	55	)	)	PUNCT
ispiv-158	97	56	3	3	NUM
ispiv-158	97	57	numerical	numerical	ADJ
ispiv-158	97	58	assessment	assessment	NOUN
ispiv-158	97	59	the	the	DET
ispiv-158	97	60	numerical	numerical	ADJ
ispiv-158	97	61	assessment	assessment	NOUN
ispiv-158	97	62	was	be	AUX
ispiv-158	97	63	conducted	conduct	VERB
ispiv-158	97	64	using	use	VERB
ispiv-158	97	65	a	a	DET
ispiv-158	97	66	dataset	dataset	NOUN
ispiv-158	97	67	preliminarily	preliminarily	ADV
ispiv-158	97	68	provided	provide	VERB
ispiv-158	97	69	by	by	ADP
ispiv-158	97	70	leclaire	leclaire	PROPN
ispiv-158	97	71	et	et	PROPN
ispiv-158	97	72	al	al	PROPN
ispiv-158	97	73	.	.	PROPN
ispiv-158	97	74	(	(	PUNCT
ispiv-158	97	75	2021	2021	NUM
ispiv-158	97	76	)	)	PUNCT
ispiv-158	97	77	at	at	ADP
ispiv-158	97	78	the	the	DET
ispiv-158	97	79	beginning	beginning	NOUN
ispiv-158	97	80	of	of	ADP
ispiv-158	97	81	the	the	DET
ispiv-158	97	82	data	data	NOUN
ispiv-158	97	83	assimilation	assimilation	NOUN
ispiv-158	97	84	challenge	challenge	NOUN
ispiv-158	97	85	campaign	campaign	NOUN
ispiv-158	97	86	(	(	PUNCT
ispiv-158	97	87	sciacchitano	sciacchitano	VERB
ispiv-158	97	88	et	et	PROPN
ispiv-158	97	89	al	al	PROPN
ispiv-158	97	90	.	.	PROPN
ispiv-158	97	91	,	,	PUNCT
ispiv-158	97	92	2021	2021	NUM
ispiv-158	97	93	)	)	PUNCT
ispiv-158	97	94	.	.	PUNCT
ispiv-158	98	1	the	the	DET
ispiv-158	98	2	dataset	dataset	NOUN
ispiv-158	98	3	is	be	AUX
ispiv-158	98	4	based	base	VERB
ispiv-158	98	5	on	on	ADP
ispiv-158	98	6	les	les	X
ispiv-158	98	7	simulation	simulation	NOUN
ispiv-158	98	8	and	and	CCONJ
ispiv-158	98	9	consists	consist	VERB
ispiv-158	98	10	of	of	ADP
ispiv-158	98	11	synthetic	synthetic	ADJ
ispiv-158	98	12	ptv	ptv	NOUN
ispiv-158	98	13	data	datum	NOUN
ispiv-158	98	14	and	and	CCONJ
ispiv-158	98	15	ground	ground	NOUN
ispiv-158	98	16	truth	truth	NOUN
ispiv-158	98	17	.	.	PUNCT
ispiv-158	99	1	note	note	VERB
ispiv-158	99	2	that	that	SCONJ
ispiv-158	99	3	this	this	DET
ispiv-158	99	4	data	data	NOUN
ispiv-158	99	5	is	be	AUX
ispiv-158	99	6	not	not	PART
ispiv-158	99	7	identical	identical	ADJ
ispiv-158	99	8	to	to	ADP
ispiv-158	99	9	the	the	DET
ispiv-158	99	10	dataset	dataset	NOUN
ispiv-158	99	11	used	use	VERB
ispiv-158	99	12	in	in	ADP
ispiv-158	99	13	the	the	DET
ispiv-158	99	14	challenge	challenge	NOUN
ispiv-158	99	15	.	.	PUNCT
ispiv-158	100	1	two	two	NUM
ispiv-158	100	2	seeding	seed	VERB
ispiv-158	100	3	densities	density	NOUN
ispiv-158	100	4	,	,	PUNCT
ispiv-158	100	5	0.03	0.03	NUM
ispiv-158	100	6	and	and	CCONJ
ispiv-158	100	7	0.16	0.16	NUM
ispiv-158	100	8	particles	particle	NOUN
ispiv-158	100	9	per	per	ADP
ispiv-158	100	10	pixels	pixel	NOUN
ispiv-158	100	11	(	(	PUNCT
ispiv-158	100	12	ppp	ppp	NOUN
ispiv-158	100	13	)	)	PUNCT
ispiv-158	100	14	,	,	PUNCT
ispiv-158	100	15	were	be	AUX
ispiv-158	100	16	provided	provide	VERB
ispiv-158	100	17	.	.	PUNCT
ispiv-158	101	1	the	the	DET
ispiv-158	101	2	final	final	ADJ
ispiv-158	101	3	reconstruction	reconstruction	NOUN
ispiv-158	101	4	grid	grid	NOUN
ispiv-158	101	5	scheme	scheme	NOUN
ispiv-158	101	6	was	be	AUX
ispiv-158	101	7	selected	select	VERB
ispiv-158	101	8	as	as	ADP
ispiv-158	101	9	a	a	DET
ispiv-158	101	10	dimension	dimension	NOUN
ispiv-158	101	11	of	of	ADP
ispiv-158	101	12	101	101	NUM
ispiv-158	101	13	×	×	NOUN
ispiv-158	101	14	169	169	NUM
ispiv-158	101	15	×	×	NOUN
ispiv-158	101	16	101	101	NUM
ispiv-158	101	17	.	.	PUNCT
ispiv-158	102	1	four	four	NUM
ispiv-158	102	2	grid	grid	NOUN
ispiv-158	102	3	schemes	scheme	NOUN
ispiv-158	102	4	,	,	PUNCT
ispiv-158	102	5	i.e.	i.e.	X
ispiv-158	102	6	,	,	PUNCT
ispiv-158	102	7	3	3	NUM
ispiv-158	102	8	coarse	coarse	NOUN
ispiv-158	102	9	grid	grid	NOUN
ispiv-158	102	10	schemes	scheme	NOUN
ispiv-158	102	11	+	+	CCONJ
ispiv-158	102	12	1	1	NUM
ispiv-158	102	13	final	final	ADJ
ispiv-158	102	14	grid	grid	NOUN
ispiv-158	102	15	scheme	scheme	NOUN
ispiv-158	102	16	,	,	PUNCT
ispiv-158	102	17	were	be	AUX
ispiv-158	102	18	sequentially	sequentially	ADV
ispiv-158	102	19	reconstructed	reconstruct	VERB
ispiv-158	102	20	during	during	ADP
ispiv-158	102	21	vic	vic	PROPN
ispiv-158	102	22	#	#	NOUN
ispiv-158	102	23	and	and	CCONJ
ispiv-158	102	24	the	the	DET
ispiv-158	102	25	proposed	propose	VERB
ispiv-158	102	26	approach	approach	NOUN
ispiv-158	102	27	.	.	PUNCT
ispiv-158	103	1	in	in	ADP
ispiv-158	103	2	order	order	NOUN
ispiv-158	103	3	to	to	PART
ispiv-158	103	4	impose	impose	VERB
ispiv-158	103	5	the	the	DET
ispiv-158	103	6	wall	wall	PROPN
ispiv-158	103	7	information	information	NOUN
ispiv-158	103	8	,	,	PUNCT
ispiv-158	103	9	artificial	artificial	ADJ
ispiv-158	103	10	stationary	stationary	ADJ
ispiv-158	103	11	particle	particle	NOUN
ispiv-158	103	12	tracks	track	NOUN
ispiv-158	103	13	were	be	AUX
ispiv-158	103	14	added	add	VERB
ispiv-158	103	15	at	at	ADP
ispiv-158	103	16	each	each	DET
ispiv-158	103	17	intersection	intersection	NOUN
ispiv-158	103	18	of	of	ADP
ispiv-158	103	19	the	the	DET
ispiv-158	103	20	wall	wall	NOUN
ispiv-158	103	21	and	and	CCONJ
ispiv-158	103	22	the	the	DET
ispiv-158	103	23	gridlines	gridline	NOUN
ispiv-158	103	24	,	,	PUNCT
ispiv-158	103	25	orthogonal	orthogonal	ADJ
ispiv-158	103	26	to	to	ADP
ispiv-158	103	27	the	the	DET
ispiv-158	103	28	wall	wall	NOUN
ispiv-158	103	29	.	.	PUNCT
ispiv-158	104	1	200	200	NUM
ispiv-158	104	2	and	and	CCONJ
ispiv-158	104	3	300	300	NUM
ispiv-158	104	4	iterations	iteration	NOUN
ispiv-158	104	5	were	be	AUX
ispiv-158	104	6	conducted	conduct	VERB
ispiv-158	104	7	respectively	respectively	ADV
ispiv-158	104	8	for	for	ADP
ispiv-158	104	9	each	each	DET
ispiv-158	104	10	seeding	seed	VERB
ispiv-158	104	11	density	density	NOUN
ispiv-158	104	12	case	case	NOUN
ispiv-158	104	13	.	.	PUNCT
ispiv-158	105	1	ratios	ratio	NOUN
ispiv-158	105	2	of	of	ADP
ispiv-158	105	3	averaged	average	VERB
ispiv-158	105	4	changes	change	NOUN
ispiv-158	105	5	over	over	ADP
ispiv-158	105	6	the	the	DET
ispiv-158	105	7	last	last	ADJ
ispiv-158	105	8	20	20	NUM
ispiv-158	105	9	iterations	iteration	NOUN
ispiv-158	105	10	of	of	ADP
ispiv-158	105	11	the	the	DET
ispiv-158	105	12	ptv	ptv	ADV
ispiv-158	105	13	-	-	PUNCT
ispiv-158	105	14	based	base	VERB
ispiv-158	105	15	cost	cost	NOUN
ispiv-158	105	16	function	function	NOUN
ispiv-158	105	17	(	(	PUNCT
ispiv-158	105	18	disparities	disparity	NOUN
ispiv-158	105	19	between	between	ADP
ispiv-158	105	20	ptv	ptv	PROPN
ispiv-158	105	21	input	input	NOUN
ispiv-158	105	22	and	and	CCONJ
ispiv-158	105	23	the	the	DET
ispiv-158	105	24	reconstruction	reconstruction	NOUN
ispiv-158	105	25	)	)	PUNCT
ispiv-158	105	26	to	to	ADP
ispiv-158	105	27	the	the	DET
ispiv-158	105	28	initial	initial	ADJ
ispiv-158	105	29	one	one	NUM
ispiv-158	105	30	at	at	ADP
ispiv-158	105	31	the	the	DET
ispiv-158	105	32	final	final	ADJ
ispiv-158	105	33	grid	grid	NOUN
ispiv-158	105	34	scheme	scheme	NOUN
ispiv-158	105	35	,	,	PUNCT
ispiv-158	105	36	∆𝐽ptv/𝐽ptv	∆𝐽ptv/𝐽ptv	PROPN
ispiv-158	105	37	,	,	PUNCT
ispiv-158	105	38	level=0	level=0	PROPN
ispiv-158	105	39	,	,	PUNCT
ispiv-158	105	40	were	be	AUX
ispiv-158	105	41	measured	measure	VERB
ispiv-158	105	42	as	as	ADP
ispiv-158	105	43	smaller	small	ADJ
ispiv-158	105	44	than	than	ADP
ispiv-158	105	45	the	the	DET
ispiv-158	105	46	criterion	criterion	NOUN
ispiv-158	105	47	10	10	NUM
ispiv-158	105	48	-	-	SYM
ispiv-158	105	49	6	6	NUM
ispiv-158	105	50	suggested	suggest	VERB
ispiv-158	105	51	by	by	ADP
ispiv-158	105	52	vic+	vic+	NOUN
ispiv-158	105	53	(	(	PUNCT
ispiv-158	105	54	table	table	NOUN
ispiv-158	105	55	1	1	NUM
ispiv-158	105	56	)	)	PUNCT
ispiv-158	105	57	.	.	PUNCT
ispiv-158	106	1	14th	14th	ADJ
ispiv-158	106	2	international	international	ADJ
ispiv-158	106	3	symposium	symposium	NOUN
ispiv-158	106	4	on	on	ADP
ispiv-158	106	5	particle	particle	NOUN
ispiv-158	106	6	image	image	NOUN
ispiv-158	106	7	velocimetry	velocimetry	NOUN
ispiv-158	106	8	–	–	PUNCT
ispiv-158	106	9	ispiv2021	ispiv2021	PROPN
ispiv-158	106	10	august	august	PROPN
ispiv-158	106	11	1–5	1–5	NUM
ispiv-158	106	12	,	,	PUNCT
ispiv-158	106	13	2021	2021	NUM
ispiv-158	106	14	5	5	NUM
ispiv-158	106	15	table	table	NOUN
ispiv-158	106	16	1	1	NUM
ispiv-158	106	17	:	:	PUNCT
ispiv-158	106	18	ratios	ratio	NOUN
ispiv-158	106	19	of	of	ADP
ispiv-158	106	20	the	the	DET
ispiv-158	106	21	final	final	ADJ
ispiv-158	106	22	change	change	NOUN
ispiv-158	106	23	of	of	ADP
ispiv-158	106	24	ptv	ptv	ADV
ispiv-158	106	25	-	-	PUNCT
ispiv-158	106	26	based	base	VERB
ispiv-158	106	27	cost	cost	NOUN
ispiv-158	106	28	functions	function	NOUN
ispiv-158	106	29	methods	method	NOUN
ispiv-158	106	30	ppp	ppp	NOUN
ispiv-158	106	31	=	=	SYM
ispiv-158	106	32	0.03	0.03	NUM
ispiv-158	106	33	[	[	PUNCT
ispiv-158	106	34	×	×	NOUN
ispiv-158	106	35	10	10	NUM
ispiv-158	106	36	-	-	SYM
ispiv-158	106	37	6	6	NUM
ispiv-158	106	38	]	]	PUNCT
ispiv-158	106	39	ppp	ppp	NOUN
ispiv-158	106	40	=	=	SYM
ispiv-158	106	41	0.16	0.16	NUM
ispiv-158	106	42	[	[	PUNCT
ispiv-158	106	43	×	×	NOUN
ispiv-158	106	44	10	10	NUM
ispiv-158	106	45	-	-	SYM
ispiv-158	106	46	6	6	NUM
ispiv-158	106	47	]	]	PUNCT
ispiv-158	106	48	3d	3d	NUM
ispiv-158	106	49	,	,	PUNCT
ispiv-158	106	50	l	l	NOUN
ispiv-158	106	51	=	=	PUNCT
ispiv-158	106	52	1	1	NUM
ispiv-158	106	53	0.0309	0.0309	NUM
ispiv-158	106	54	0.0360	0.0360	NUM
ispiv-158	106	55	4d	4d	NUM
ispiv-158	106	56	,	,	PUNCT
ispiv-158	106	57	l	l	NOUN
ispiv-158	106	58	=	=	SYM
ispiv-158	106	59	13	13	NUM
ispiv-158	106	60	,	,	PUNCT
ispiv-158	106	61	rk4	rk4	NOUN
ispiv-158	106	62	0.0108	0.0108	NUM
ispiv-158	106	63	0.0048	0.0048	NUM
ispiv-158	106	64	the	the	DET
ispiv-158	106	65	computation	computation	NOUN
ispiv-158	106	66	was	be	AUX
ispiv-158	106	67	mainly	mainly	ADV
ispiv-158	106	68	conducted	conduct	VERB
ispiv-158	106	69	on	on	ADP
ispiv-158	106	70	a	a	DET
ispiv-158	106	71	tesla	tesla	NOUN
ispiv-158	106	72	v100	v100	PROPN
ispiv-158	106	73	gpu	gpu	NOUN
ispiv-158	106	74	card	card	NOUN
ispiv-158	106	75	with	with	ADP
ispiv-158	106	76	5120	5120	NUM
ispiv-158	106	77	cuda	cuda	NOUN
ispiv-158	106	78	cores	core	NOUN
ispiv-158	106	79	and	and	CCONJ
ispiv-158	106	80	32	32	NUM
ispiv-158	106	81	gb	gb	NOUN
ispiv-158	106	82	memory	memory	NOUN
ispiv-158	106	83	.	.	PUNCT
ispiv-158	107	1	figure	figure	NOUN
ispiv-158	107	2	4	4	NUM
ispiv-158	107	3	demonstrates	demonstrate	VERB
ispiv-158	107	4	the	the	DET
ispiv-158	107	5	computation	computation	NOUN
ispiv-158	107	6	complexity	complexity	NOUN
ispiv-158	107	7	in	in	ADP
ispiv-158	107	8	terms	term	NOUN
ispiv-158	107	9	of	of	ADP
ispiv-158	107	10	measured	measured	ADJ
ispiv-158	107	11	computation	computation	NOUN
ispiv-158	107	12	time	time	NOUN
ispiv-158	107	13	and	and	CCONJ
ispiv-158	107	14	occupied	occupy	VERB
ispiv-158	107	15	gpu	gpu	PROPN
ispiv-158	107	16	-	-	ADJ
ispiv-158	107	17	dedicated	dedicated	ADJ
ispiv-158	107	18	memory	memory	NOUN
ispiv-158	107	19	.	.	PUNCT
ispiv-158	108	1	the	the	DET
ispiv-158	108	2	computation	computation	NOUN
ispiv-158	108	3	time	time	NOUN
ispiv-158	108	4	estimated	estimate	VERB
ispiv-158	108	5	by	by	ADP
ispiv-158	108	6	eq	eq	PROPN
ispiv-158	108	7	.	.	PROPN
ispiv-158	108	8	8	8	NUM
ispiv-158	108	9	shows	show	VERB
ispiv-158	108	10	a	a	DET
ispiv-158	108	11	good	good	ADJ
ispiv-158	108	12	agreement	agreement	NOUN
ispiv-158	108	13	with	with	ADP
ispiv-158	108	14	the	the	DET
ispiv-158	108	15	measured	measure	VERB
ispiv-158	108	16	ones	one	NOUN
ispiv-158	108	17	(	(	PUNCT
ispiv-158	108	18	fig	fig	NOUN
ispiv-158	108	19	.	.	PUNCT
ispiv-158	108	20	4a	4a	NUM
ispiv-158	108	21	)	)	PUNCT
ispiv-158	108	22	.	.	PUNCT
ispiv-158	109	1	since	since	SCONJ
ispiv-158	109	2	the	the	DET
ispiv-158	109	3	3d	3d	NOUN
ispiv-158	109	4	and	and	CCONJ
ispiv-158	109	5	4d	4d	NUM
ispiv-158	109	6	methods	method	NOUN
ispiv-158	109	7	solve	solve	VERB
ispiv-158	109	8	the	the	DET
ispiv-158	109	9	same	same	ADJ
ispiv-158	109	10	poisson	poisson	NOUN
ispiv-158	109	11	equations	equation	NOUN
ispiv-158	109	12	,	,	PUNCT
ispiv-158	109	13	the	the	DET
ispiv-158	109	14	corresponding	corresponding	ADJ
ispiv-158	109	15	memory	memory	NOUN
ispiv-158	109	16	reservation	reservation	NOUN
ispiv-158	109	17	is	be	AUX
ispiv-158	109	18	constant	constant	ADJ
ispiv-158	109	19	for	for	ADP
ispiv-158	109	20	all	all	DET
ispiv-158	109	21	l	l	NOUN
ispiv-158	109	22	(	(	PUNCT
ispiv-158	109	23	fig	fig	NOUN
ispiv-158	109	24	.	.	PUNCT
ispiv-158	110	1	4b	4b	PROPN
ispiv-158	110	2	)	)	PUNCT
ispiv-158	110	3	.	.	PUNCT
ispiv-158	111	1	the	the	DET
ispiv-158	111	2	increasing	increase	VERB
ispiv-158	111	3	memory	memory	NOUN
ispiv-158	111	4	occupations	occupation	NOUN
ispiv-158	111	5	concerning	concern	VERB
ispiv-158	111	6	l	l	NOUN
ispiv-158	111	7	are	be	AUX
ispiv-158	111	8	almost	almost	ADV
ispiv-158	111	9	linear	linear	ADJ
ispiv-158	111	10	,	,	PUNCT
ispiv-158	111	11	and	and	CCONJ
ispiv-158	111	12	thus	thus	ADV
ispiv-158	111	13	,	,	PUNCT
ispiv-158	111	14	one	one	PRON
ispiv-158	111	15	can	can	AUX
ispiv-158	111	16	estimate	estimate	VERB
ispiv-158	111	17	a	a	DET
ispiv-158	111	18	required	require	VERB
ispiv-158	111	19	memory	memory	NOUN
ispiv-158	111	20	for	for	ADP
ispiv-158	111	21	further	further	ADJ
ispiv-158	111	22	computations	computation	NOUN
ispiv-158	111	23	.	.	PUNCT
ispiv-158	112	1	note	note	VERB
ispiv-158	112	2	that	that	SCONJ
ispiv-158	112	3	there	there	PRON
ispiv-158	112	4	would	would	AUX
ispiv-158	112	5	be	be	AUX
ispiv-158	112	6	room	room	NOUN
ispiv-158	112	7	for	for	ADP
ispiv-158	112	8	more	more	ADJ
ispiv-158	112	9	optimization	optimization	NOUN
ispiv-158	112	10	.	.	PUNCT
ispiv-158	113	1	figure	figure	VERB
ispiv-158	113	2	4	4	NUM
ispiv-158	113	3	:	:	PUNCT
ispiv-158	113	4	computation	computation	NOUN
ispiv-158	113	5	resources	resource	NOUN
ispiv-158	113	6	for	for	ADP
ispiv-158	113	7	for	for	ADP
ispiv-158	113	8	ppp	ppp	NOUN
ispiv-158	113	9	=	=	NOUN
ispiv-158	113	10	0.16	0.16	NUM
ispiv-158	113	11	case	case	NOUN
ispiv-158	113	12	.	.	PUNCT
ispiv-158	114	1	(	(	PUNCT
ispiv-158	114	2	a	a	X
ispiv-158	114	3	)	)	PUNCT
ispiv-158	114	4	computation	computation	NOUN
ispiv-158	114	5	time	time	NOUN
ispiv-158	114	6	;	;	PUNCT
ispiv-158	114	7	dotted	dotted	ADJ
ispiv-158	114	8	lines	line	NOUN
ispiv-158	114	9	are	be	AUX
ispiv-158	114	10	estimates	estimate	NOUN
ispiv-158	114	11	by	by	ADP
ispiv-158	114	12	eq	eq	NOUN
ispiv-158	114	13	.	.	PROPN
ispiv-158	114	14	8	8	NUM
ispiv-158	114	15	.	.	PUNCT
ispiv-158	115	1	(	(	PUNCT
ispiv-158	115	2	b	b	X
ispiv-158	115	3	)	)	PUNCT
ispiv-158	115	4	occupied	occupy	VERB
ispiv-158	115	5	memory	memory	NOUN
ispiv-158	115	6	on	on	ADP
ispiv-158	115	7	gpu	gpu	PROPN
ispiv-158	115	8	;	;	PUNCT
ispiv-158	115	9	dashed	dash	VERB
ispiv-158	115	10	lines	line	NOUN
ispiv-158	115	11	denote	denote	VERB
ispiv-158	115	12	linear	linear	ADJ
ispiv-158	115	13	trends	trend	NOUN
ispiv-158	115	14	.	.	PUNCT
ispiv-158	116	1	the	the	DET
ispiv-158	116	2	performances	performance	NOUN
ispiv-158	116	3	of	of	ADP
ispiv-158	116	4	the	the	DET
ispiv-158	116	5	3d	3d	NOUN
ispiv-158	116	6	(	(	PUNCT
ispiv-158	116	7	vic	vic	NOUN
ispiv-158	116	8	#	#	NOUN
ispiv-158	116	9	)	)	PUNCT
ispiv-158	116	10	method	method	NOUN
ispiv-158	116	11	and	and	CCONJ
ispiv-158	116	12	the	the	DET
ispiv-158	116	13	proposed	propose	VERB
ispiv-158	116	14	4d	4d	NUM
ispiv-158	116	15	method	method	NOUN
ispiv-158	116	16	were	be	AUX
ispiv-158	116	17	statistically	statistically	ADV
ispiv-158	116	18	evaluated	evaluate	VERB
ispiv-158	116	19	by	by	ADP
ispiv-158	116	20	using	use	VERB
ispiv-158	116	21	the	the	DET
ispiv-158	116	22	root	root	NOUN
ispiv-158	116	23	-	-	PUNCT
ispiv-158	116	24	meansquare	meansquare	NOUN
ispiv-158	116	25	(	(	PUNCT
ispiv-158	116	26	rms	rm	NOUN
ispiv-158	116	27	)	)	PUNCT
ispiv-158	116	28	error	error	NOUN
ispiv-158	116	29	of	of	ADP
ispiv-158	116	30	velocity	velocity	NOUN
ispiv-158	116	31	and	and	CCONJ
ispiv-158	116	32	the	the	DET
ispiv-158	116	33	reconstruction	reconstruction	NOUN
ispiv-158	116	34	quality	quality	NOUN
ispiv-158	116	35	of	of	ADP
ispiv-158	116	36	vortical	vortical	ADJ
ispiv-158	116	37	structure	structure	NOUN
ispiv-158	116	38	evaluated	evaluate	VERB
ispiv-158	116	39	from	from	ADP
ispiv-158	116	40	cross	cross	NOUN
ispiv-158	116	41	-	-	NOUN
ispiv-158	116	42	correlation	correlation	NOUN
ispiv-158	116	43	of	of	ADP
ispiv-158	116	44	negative	negative	ADJ
ispiv-158	116	45	swirling	swirling	ADJ
ispiv-158	116	46	strength	strength	NOUN
ispiv-158	116	47	,	,	PUNCT
ispiv-158	116	48	𝜆2	𝜆2	NOUN
ispiv-158	116	49	:	:	PUNCT
ispiv-158	116	50	√	√	PROPN
ispiv-158	117	1	∑‖𝒖	∑‖𝒖	PROPN
ispiv-158	117	2	−	−	PROPN
ispiv-158	117	3	𝒖𝐿𝐸𝑆‖	𝒖𝐿𝐸𝑆‖	PROPN
ispiv-158	117	4	𝑁grid	𝑁grid	PROPN
ispiv-158	117	5	points	point	NOUN
ispiv-158	117	6	(	(	PUNCT
ispiv-158	117	7	10	10	NUM
ispiv-158	117	8	)	)	PUNCT
ispiv-158	117	9	∑	∑	PUNCT
ispiv-158	117	10	𝜆2	𝜆2	PROPN
ispiv-158	117	11	∙	∙	PROPN
ispiv-158	117	12	𝜆2	𝜆2	PROPN
ispiv-158	117	13	,	,	PUNCT
ispiv-158	117	14	𝐿𝐸𝑆(𝜆2<0	𝐿𝐸𝑆(𝜆2<0	VERB
ispiv-158	117	15	∧	∧	PROPN
ispiv-158	117	16	𝜆2	𝜆2	PROPN
ispiv-158	117	17	,	,	PUNCT
ispiv-158	117	18	𝐿𝐸𝑆<0	𝐿𝐸𝑆<0	PROPN
ispiv-158	117	19	)	)	PUNCT
ispiv-158	117	20	√∑	√∑	ADV
ispiv-158	117	21	𝜆2(𝜆2<0	𝜆2(𝜆2<0	NOUN
ispiv-158	117	22	)	)	PUNCT
ispiv-158	118	1	∙	∙	PROPN
ispiv-158	118	2	∑	∑	PUNCT
ispiv-158	118	3	𝜆2	𝜆2	PROPN
ispiv-158	118	4	,	,	PUNCT
ispiv-158	118	5	𝐿𝐸𝑆(𝜆2	𝐿𝐸𝑆(𝜆2	PROPN
ispiv-158	118	6	,	,	PUNCT
ispiv-158	118	7	𝐿𝐸𝑆<0	𝐿𝐸𝑆<0	PROPN
ispiv-158	118	8	)	)	PUNCT
ispiv-158	118	9	(	(	PUNCT
ispiv-158	118	10	11	11	NUM
ispiv-158	118	11	)	)	PUNCT
ispiv-158	118	12	such	such	ADJ
ispiv-158	118	13	quantitative	quantitative	ADJ
ispiv-158	118	14	analysis	analysis	NOUN
ispiv-158	118	15	is	be	AUX
ispiv-158	118	16	presented	present	VERB
ispiv-158	118	17	in	in	ADP
ispiv-158	118	18	figure	figure	NOUN
ispiv-158	118	19	5	5	NUM
ispiv-158	118	20	.	.	PUNCT
ispiv-158	119	1	when	when	SCONJ
ispiv-158	119	2	m	m	VERB
ispiv-158	119	3	=	=	SYM
ispiv-158	119	4	1	1	NUM
ispiv-158	119	5	,	,	PUNCT
ispiv-158	119	6	i.e.	i.e.	X
ispiv-158	119	7	,	,	PUNCT
ispiv-158	119	8	no	no	DET
ispiv-158	119	9	fractional	fractional	ADJ
ispiv-158	119	10	instance	instance	NOUN
ispiv-158	119	11	is	be	AUX
ispiv-158	119	12	reconstructed	reconstruct	VERB
ispiv-158	119	13	,	,	PUNCT
ispiv-158	119	14	the	the	DET
ispiv-158	119	15	performance	performance	NOUN
ispiv-158	119	16	regresses	regresses	AUX
ispiv-158	119	17	compared	compare	VERB
ispiv-158	119	18	to	to	ADP
ispiv-158	119	19	others	other	NOUN
ispiv-158	119	20	due	due	ADP
ispiv-158	119	21	to	to	ADP
ispiv-158	119	22	the	the	DET
ispiv-158	119	23	accumulated	accumulate	VERB
ispiv-158	119	24	truncation	truncation	NOUN
ispiv-158	119	25	error	error	NOUN
ispiv-158	119	26	,	,	PUNCT
ispiv-158	119	27	especially	especially	ADV
ispiv-158	119	28	for	for	ADP
ispiv-158	119	29	the	the	DET
ispiv-158	119	30	dense	dense	ADJ
ispiv-158	119	31	seeding	seeding	NOUN
ispiv-158	119	32	case	case	NOUN
ispiv-158	119	33	(	(	PUNCT
ispiv-158	119	34	ppp	ppp	NOUN
ispiv-158	119	35	=	=	NOUN
ispiv-158	119	36	0.16	0.16	NUM
ispiv-158	119	37	)	)	PUNCT
ispiv-158	119	38	.	.	PUNCT
ispiv-158	120	1	however	however	ADV
ispiv-158	120	2	,	,	PUNCT
ispiv-158	120	3	in	in	ADP
ispiv-158	120	4	the	the	DET
ispiv-158	120	5	lower	low	ADJ
ispiv-158	120	6	seeding	seeding	NOUN
ispiv-158	120	7	case	case	NOUN
ispiv-158	120	8	(	(	PUNCT
ispiv-158	120	9	ppp	ppp	NOUN
ispiv-158	120	10	=	=	NOUN
ispiv-158	120	11	0.03	0.03	NUM
ispiv-158	120	12	)	)	PUNCT
ispiv-158	120	13	,	,	PUNCT
ispiv-158	120	14	adopting	adopt	VERB
ispiv-158	120	15	m	m	PROPN
ispiv-158	120	16	=	=	SYM
ispiv-158	120	17	1	1	NUM
ispiv-158	120	18	still	still	ADV
ispiv-158	120	19	shows	show	VERB
ispiv-158	120	20	the	the	DET
ispiv-158	120	21	improved	improved	ADJ
ispiv-158	120	22	statistics	statistic	NOUN
ispiv-158	120	23	until	until	ADP
ispiv-158	120	24	l	l	NOUN
ispiv-158	120	25	=	=	NOUN
ispiv-158	120	26	11	11	NUM
ispiv-158	120	27	.	.	PUNCT
ispiv-158	121	1	it	it	PRON
ispiv-158	121	2	implies	imply	VERB
ispiv-158	121	3	that	that	SCONJ
ispiv-158	121	4	even	even	ADV
ispiv-158	121	5	though	though	SCONJ
ispiv-158	121	6	the	the	DET
ispiv-158	121	7	simulated	simulate	VERB
ispiv-158	121	8	instances	instance	NOUN
ispiv-158	121	9	are	be	AUX
ispiv-158	121	10	truncated	truncate	VERB
ispiv-158	121	11	,	,	PUNCT
ispiv-158	121	12	considering	consider	VERB
ispiv-158	121	13	more	more	ADJ
ispiv-158	121	14	ptv	ptv	ADJ
ispiv-158	121	15	realizations	realization	NOUN
ispiv-158	121	16	at	at	ADP
ispiv-158	121	17	other	other	ADJ
ispiv-158	121	18	ptv	ptv	ADJ
ispiv-158	121	19	instances	instance	NOUN
ispiv-158	121	20	is	be	AUX
ispiv-158	121	21	still	still	ADV
ispiv-158	121	22	beneficial	beneficial	ADJ
ispiv-158	121	23	under	under	ADP
ispiv-158	121	24	low	low	ADJ
ispiv-158	121	25	seeding	seeding	NOUN
ispiv-158	121	26	density	density	NOUN
ispiv-158	121	27	conditions	condition	NOUN
ispiv-158	121	28	.	.	PUNCT
ispiv-158	122	1	the	the	DET
ispiv-158	122	2	rk4	rk4	NOUN
ispiv-158	122	3	method	method	NOUN
ispiv-158	122	4	and	and	CCONJ
ispiv-158	122	5	the	the	DET
ispiv-158	122	6	euler	euler	NOUN
ispiv-158	122	7	method	method	NOUN
ispiv-158	122	8	with	with	ADP
ispiv-158	122	9	m	m	PROPN
ispiv-158	122	10	=	=	SYM
ispiv-158	122	11	4	4	NUM
ispiv-158	122	12	show	show	VERB
ispiv-158	122	13	similar	similar	ADJ
ispiv-158	122	14	performance	performance	NOUN
ispiv-158	122	15	curves	curve	NOUN
ispiv-158	122	16	,	,	PUNCT
ispiv-158	122	17	while	while	SCONJ
ispiv-158	122	18	rk4	rk4	NOUN
ispiv-158	122	19	is	be	AUX
ispiv-158	122	20	better	well	ADJ
ispiv-158	122	21	at	at	ADP
ispiv-158	122	22	the	the	DET
ispiv-158	122	23	higher	high	ADJ
ispiv-158	122	24	l	l	NOUN
ispiv-158	122	25	regime	regime	NOUN
ispiv-158	122	26	.	.	PUNCT
ispiv-158	123	1	the	the	DET
ispiv-158	123	2	euler	euler	NOUN
ispiv-158	123	3	method	method	NOUN
ispiv-158	123	4	with	with	ADP
ispiv-158	123	5	m	m	PROPN
ispiv-158	123	6	=	=	SYM
ispiv-158	123	7	8	8	NUM
ispiv-158	123	8	was	be	AUX
ispiv-158	123	9	also	also	ADV
ispiv-158	123	10	tested	test	VERB
ispiv-158	123	11	,	,	PUNCT
ispiv-158	123	12	but	but	CCONJ
ispiv-158	123	13	its	its	PRON
ispiv-158	123	14	performance	performance	NOUN
ispiv-158	123	15	is	be	AUX
ispiv-158	123	16	slightly	slightly	ADV
ispiv-158	123	17	worse	bad	ADJ
ispiv-158	123	18	than	than	ADP
ispiv-158	123	19	rk4	rk4	NOUN
ispiv-158	123	20	.	.	PUNCT
ispiv-158	124	1	from	from	ADP
ispiv-158	124	2	these	these	DET
ispiv-158	124	3	results	result	NOUN
ispiv-158	124	4	,	,	PUNCT
ispiv-158	124	5	one	one	PRON
ispiv-158	124	6	can	can	AUX
ispiv-158	124	7	assume	assume	VERB
ispiv-158	124	8	that	that	SCONJ
ispiv-158	124	9	an	an	DET
ispiv-158	124	10	optimal	optimal	ADJ
ispiv-158	124	11	combination	combination	NOUN
ispiv-158	124	12	of	of	ADP
ispiv-158	124	13	l	l	NOUN
ispiv-158	124	14	and	and	CCONJ
ispiv-158	124	15	m	m	PROPN
ispiv-158	124	16	,	,	PUNCT
ispiv-158	124	17	which	which	PRON
ispiv-158	124	18	maximizes	maximize	VERB
ispiv-158	124	19	the	the	DET
ispiv-158	124	20	reconstruction	reconstruction	NOUN
ispiv-158	124	21	qualities	quality	NOUN
ispiv-158	124	22	,	,	PUNCT
ispiv-158	124	23	exist	exist	VERB
ispiv-158	124	24	.	.	PUNCT
ispiv-158	125	1	the	the	DET
ispiv-158	125	2	optimal	optimal	ADJ
ispiv-158	125	3	l	l	NOUN
ispiv-158	125	4	and	and	CCONJ
ispiv-158	125	5	m	m	AUX
ispiv-158	125	6	seem	seem	VERB
ispiv-158	125	7	to	to	PART
ispiv-158	125	8	be	be	AUX
ispiv-158	125	9	closely	closely	ADV
ispiv-158	125	10	related	relate	VERB
ispiv-158	125	11	to	to	ADP
ispiv-158	125	12	the	the	DET
ispiv-158	125	13	seeding	seed	VERB
ispiv-158	125	14	density	density	NOUN
ispiv-158	125	15	and	and	CCONJ
ispiv-158	125	16	∆𝑇	∆𝑇	PROPN
ispiv-158	125	17	,	,	PUNCT
ispiv-158	125	18	respectively	respectively	ADV
ispiv-158	125	19	.	.	PUNCT
ispiv-158	126	1	in	in	ADP
ispiv-158	126	2	addition	addition	NOUN
ispiv-158	126	3	,	,	PUNCT
ispiv-158	126	4	the	the	DET
ispiv-158	126	5	effect	effect	NOUN
ispiv-158	126	6	of	of	ADP
ispiv-158	126	7	the	the	DET
ispiv-158	126	8	spatial	spatial	ADJ
ispiv-158	126	9	resolution	resolution	NOUN
ispiv-158	126	10	of	of	ADP
ispiv-158	126	11	the	the	DET
ispiv-158	126	12	grid	grid	NOUN
ispiv-158	126	13	scheme	scheme	NOUN
ispiv-158	126	14	,	,	PUNCT
ispiv-158	126	15	i.e.	i.e.	X
ispiv-158	126	16	,	,	PUNCT
ispiv-158	126	17	the	the	DET
ispiv-158	126	18	size	size	NOUN
ispiv-158	126	19	of	of	ADP
ispiv-158	126	20	grid	grid	NOUN
ispiv-158	126	21	spacing	spacing	NOUN
ispiv-158	126	22	,	,	PUNCT
ispiv-158	126	23	would	would	AUX
ispiv-158	126	24	be	be	AUX
ispiv-158	126	25	a	a	DET
ispiv-158	126	26	significant	significant	ADJ
ispiv-158	126	27	factor	factor	NOUN
ispiv-158	126	28	.	.	PUNCT
ispiv-158	127	1	the	the	DET
ispiv-158	127	2	corresponding	corresponding	ADJ
ispiv-158	127	3	investigations	investigation	NOUN
ispiv-158	127	4	,	,	PUNCT
ispiv-158	127	5	however	however	ADV
ispiv-158	127	6	,	,	PUNCT
ispiv-158	127	7	may	may	AUX
ispiv-158	127	8	remain	remain	VERB
ispiv-158	127	9	as	as	ADP
ispiv-158	127	10	further	further	ADJ
ispiv-158	127	11	study	study	NOUN
ispiv-158	127	12	.	.	PUNCT
ispiv-158	128	1	14th	14th	ADJ
ispiv-158	128	2	international	international	ADJ
ispiv-158	128	3	symposium	symposium	NOUN
ispiv-158	128	4	on	on	ADP
ispiv-158	128	5	particle	particle	NOUN
ispiv-158	128	6	image	image	NOUN
ispiv-158	128	7	velocimetry	velocimetry	NOUN
ispiv-158	128	8	–	–	PUNCT
ispiv-158	128	9	ispiv2021	ispiv2021	PROPN
ispiv-158	128	10	august	august	PROPN
ispiv-158	128	11	1–5	1–5	NUM
ispiv-158	128	12	,	,	PUNCT
ispiv-158	128	13	2021	2021	NUM
ispiv-158	128	14	6	6	NUM
ispiv-158	128	15	figure	figure	NOUN
ispiv-158	128	16	5	5	NUM
ispiv-158	128	17	:	:	PUNCT
ispiv-158	128	18	statistical	statistical	ADJ
ispiv-158	128	19	performances	performance	NOUN
ispiv-158	128	20	for	for	ADP
ispiv-158	128	21	the	the	DET
ispiv-158	128	22	ppp	ppp	NOUN
ispiv-158	128	23	=	=	SYM
ispiv-158	128	24	0.03	0.03	NUM
ispiv-158	128	25	case	case	NOUN
ispiv-158	128	26	(	(	PUNCT
ispiv-158	128	27	left	leave	VERB
ispiv-158	128	28	)	)	PUNCT
ispiv-158	128	29	and	and	CCONJ
ispiv-158	128	30	the	the	DET
ispiv-158	128	31	ppp	ppp	NOUN
ispiv-158	128	32	=	=	SYM
ispiv-158	128	33	0.16	0.16	NUM
ispiv-158	128	34	case	case	NOUN
ispiv-158	128	35	(	(	PUNCT
ispiv-158	128	36	right	right	ADJ
ispiv-158	128	37	)	)	PUNCT
ispiv-158	128	38	figure	figure	NOUN
ispiv-158	128	39	6	6	NUM
ispiv-158	128	40	compares	compare	VERB
ispiv-158	128	41	the	the	DET
ispiv-158	128	42	reconstructed	reconstructed	ADJ
ispiv-158	128	43	vortical	vortical	ADJ
ispiv-158	128	44	structure	structure	NOUN
ispiv-158	128	45	for	for	ADP
ispiv-158	128	46	the	the	DET
ispiv-158	128	47	ppp	ppp	NOUN
ispiv-158	128	48	0.03	0.03	NUM
ispiv-158	128	49	case	case	NOUN
ispiv-158	128	50	.	.	PUNCT
ispiv-158	129	1	the	the	DET
ispiv-158	129	2	proposed	propose	VERB
ispiv-158	129	3	4d	4d	NUM
ispiv-158	129	4	approach	approach	NOUN
ispiv-158	129	5	reconstructs	reconstruct	VERB
ispiv-158	129	6	more	more	ADJ
ispiv-158	129	7	structures	structure	NOUN
ispiv-158	129	8	and	and	CCONJ
ispiv-158	129	9	connections	connection	NOUN
ispiv-158	129	10	between	between	ADP
ispiv-158	129	11	them	they	PRON
ispiv-158	129	12	comparing	compare	VERB
ispiv-158	129	13	to	to	ADP
ispiv-158	129	14	that	that	PRON
ispiv-158	129	15	from	from	ADP
ispiv-158	129	16	the	the	DET
ispiv-158	129	17	3d	3d	NUM
ispiv-158	129	18	method	method	NOUN
ispiv-158	129	19	.	.	PUNCT
ispiv-158	130	1	note	note	VERB
ispiv-158	130	2	that	that	SCONJ
ispiv-158	130	3	a	a	DET
ispiv-158	130	4	minimum	minimum	ADJ
ispiv-158	130	5	recoverable	recoverable	ADJ
ispiv-158	130	6	length	length	NOUN
ispiv-158	130	7	scale	scale	NOUN
ispiv-158	130	8	is	be	AUX
ispiv-158	130	9	larger	large	ADJ
ispiv-158	130	10	than	than	ADP
ispiv-158	130	11	the	the	DET
ispiv-158	130	12	grid	grid	NOUN
ispiv-158	130	13	spacing	spacing	NOUN
ispiv-158	130	14	,	,	PUNCT
ispiv-158	130	15	h	h	NOUN
ispiv-158	130	16	,	,	PUNCT
ispiv-158	130	17	due	due	ADP
ispiv-158	130	18	to	to	ADP
ispiv-158	130	19	the	the	DET
ispiv-158	130	20	spatial	spatial	ADJ
ispiv-158	130	21	basis	basis	NOUN
ispiv-158	130	22	function	function	NOUN
ispiv-158	130	23	(	(	PUNCT
ispiv-158	130	24	rbf	rbf	PROPN
ispiv-158	130	25	)	)	PUNCT
ispiv-158	130	26	and	and	CCONJ
ispiv-158	130	27	the	the	DET
ispiv-158	130	28	nyquist	nyquist	NOUN
ispiv-158	130	29	criterion	criterion	NOUN
ispiv-158	130	30	.	.	PUNCT
ispiv-158	131	1	it	it	PRON
ispiv-158	131	2	is	be	AUX
ispiv-158	131	3	also	also	ADV
ispiv-158	131	4	encouraging	encourage	VERB
ispiv-158	131	5	that	that	SCONJ
ispiv-158	131	6	the	the	DET
ispiv-158	131	7	selection	selection	NOUN
ispiv-158	131	8	of	of	ADP
ispiv-158	131	9	small	small	ADJ
ispiv-158	131	10	l	l	NOUN
ispiv-158	131	11	also	also	ADV
ispiv-158	131	12	shows	show	VERB
ispiv-158	131	13	a	a	DET
ispiv-158	131	14	visible	visible	ADJ
ispiv-158	131	15	improvement	improvement	NOUN
ispiv-158	131	16	under	under	ADP
ispiv-158	131	17	the	the	DET
ispiv-158	131	18	lower	low	ADJ
ispiv-158	131	19	seeding	seed	VERB
ispiv-158	131	20	density	density	NOUN
ispiv-158	131	21	condition	condition	NOUN
ispiv-158	131	22	comparing	compare	VERB
ispiv-158	131	23	to	to	ADP
ispiv-158	131	24	the	the	DET
ispiv-158	131	25	3d	3d	NUM
ispiv-158	131	26	method	method	NOUN
ispiv-158	131	27	.	.	PUNCT
ispiv-158	132	1	figure	figure	VERB
ispiv-158	132	2	6	6	NUM
ispiv-158	132	3	:	:	PUNCT
ispiv-158	132	4	vortical	vortical	ADJ
ispiv-158	132	5	structures	structure	NOUN
ispiv-158	132	6	visualized	visualize	VERB
ispiv-158	132	7	by	by	ADP
ispiv-158	132	8	iso	iso	NOUN
ispiv-158	132	9	-	-	PUNCT
ispiv-158	132	10	surfaces	surface	NOUN
ispiv-158	132	11	of	of	ADP
ispiv-158	132	12	𝜆2	𝜆2	NOUN
ispiv-158	132	13	=	=	PUNCT
ispiv-158	132	14	−30000	−30000	VERB
ispiv-158	132	15	s−1	s−1	PROPN
ispiv-158	132	16	for	for	ADP
ispiv-158	132	17	the	the	DET
ispiv-158	132	18	ppp	ppp	NOUN
ispiv-158	132	19	=	=	SYM
ispiv-158	132	20	0.03	0.03	NUM
ispiv-158	132	21	case	case	NOUN
ispiv-158	132	22	:	:	PUNCT
ispiv-158	132	23	contour	contour	NOUN
ispiv-158	132	24	indicates	indicate	VERB
ispiv-158	132	25	the	the	DET
ispiv-158	132	26	wall	wall	NOUN
ispiv-158	132	27	-	-	PUNCT
ispiv-158	132	28	normal	normal	ADJ
ispiv-158	132	29	velocity	velocity	NOUN
ispiv-158	132	30	component	component	NOUN
ispiv-158	132	31	,	,	PUNCT
ispiv-158	132	32	𝐮𝑧.	𝐮𝑧.	CCONJ
ispiv-158	132	33	statistics	statistic	NOUN
ispiv-158	132	34	based	base	VERB
ispiv-158	132	35	on	on	ADP
ispiv-158	132	36	eqs	eqs	PROPN
ispiv-158	132	37	.	.	PROPN
ispiv-158	132	38	11	11	NUM
ispiv-158	132	39	and	and	CCONJ
ispiv-158	132	40	12	12	NUM
ispiv-158	132	41	are	be	AUX
ispiv-158	132	42	also	also	ADV
ispiv-158	132	43	provided	provide	VERB
ispiv-158	132	44	.	.	PUNCT
ispiv-158	133	1	14th	14th	ADJ
ispiv-158	133	2	international	international	ADJ
ispiv-158	133	3	symposium	symposium	NOUN
ispiv-158	133	4	on	on	ADP
ispiv-158	133	5	particle	particle	NOUN
ispiv-158	133	6	image	image	NOUN
ispiv-158	133	7	velocimetry	velocimetry	NOUN
ispiv-158	133	8	–	–	PUNCT
ispiv-158	133	9	ispiv2021	ispiv2021	PROPN
ispiv-158	133	10	august	august	PROPN
ispiv-158	133	11	1–5	1–5	NUM
ispiv-158	133	12	,	,	PUNCT
ispiv-158	133	13	2021	2021	NUM
ispiv-158	133	14	7	7	NUM
ispiv-158	133	15	4	4	NUM
ispiv-158	133	16	experimental	experimental	ADJ
ispiv-158	133	17	assessment	assessment	NOUN
ispiv-158	133	18	two	two	NUM
ispiv-158	133	19	kinds	kind	NOUN
ispiv-158	133	20	of	of	ADP
ispiv-158	133	21	time	time	NOUN
ispiv-158	133	22	-	-	PUNCT
ispiv-158	133	23	resolved	resolve	VERB
ispiv-158	133	24	stb	stb	PROPN
ispiv-158	133	25	measurement	measurement	PROPN
ispiv-158	133	26	data	data	PROPN
ispiv-158	133	27	,	,	PUNCT
ispiv-158	133	28	acquired	acquire	VERB
ispiv-158	133	29	from	from	ADP
ispiv-158	133	30	the	the	DET
ispiv-158	133	31	high	high	ADJ
ispiv-158	133	32	-	-	PUNCT
ispiv-158	133	33	speed	speed	NOUN
ispiv-158	133	34	measurement	measurement	NOUN
ispiv-158	133	35	systems	system	NOUN
ispiv-158	133	36	,	,	PUNCT
ispiv-158	133	37	were	be	AUX
ispiv-158	133	38	selected	select	VERB
ispiv-158	133	39	to	to	PART
ispiv-158	133	40	verify	verify	VERB
ispiv-158	133	41	the	the	DET
ispiv-158	133	42	proposed	propose	VERB
ispiv-158	133	43	approach	approach	NOUN
ispiv-158	133	44	by	by	ADP
ispiv-158	133	45	visually	visually	ADV
ispiv-158	133	46	checking	check	VERB
ispiv-158	133	47	three	three	NUM
ispiv-158	133	48	-	-	PUNCT
ispiv-158	133	49	dimensional	dimensional	ADJ
ispiv-158	133	50	vortical	vortical	ADJ
ispiv-158	133	51	structures	structure	NOUN
ispiv-158	133	52	:	:	PUNCT
ispiv-158	133	53	the	the	DET
ispiv-158	133	54	circular	circular	ADJ
ispiv-158	133	55	jet	jet	NOUN
ispiv-158	133	56	in	in	ADP
ispiv-158	133	57	water	water	NOUN
ispiv-158	133	58	,	,	PUNCT
ispiv-158	133	59	by	by	ADP
ispiv-158	133	60	courtesy	courtesy	NOUN
ispiv-158	133	61	of	of	ADP
ispiv-158	133	62	tu	tu	PROPN
ispiv-158	133	63	-	-	PUNCT
ispiv-158	133	64	delft	delft	PROPN
ispiv-158	133	65	(	(	PUNCT
ispiv-158	133	66	violato	violato	NOUN
ispiv-158	133	67	and	and	CCONJ
ispiv-158	133	68	scarano	scarano	ADJ
ispiv-158	133	69	2011	2011	NUM
ispiv-158	133	70	)	)	PUNCT
ispiv-158	133	71	and	and	CCONJ
ispiv-158	133	72	the	the	DET
ispiv-158	133	73	flow	flow	NOUN
ispiv-158	133	74	under	under	ADP
ispiv-158	133	75	rotating	rotate	VERB
ispiv-158	133	76	blade	blade	NOUN
ispiv-158	133	77	of	of	ADP
ispiv-158	133	78	an	an	DET
ispiv-158	133	79	rc	rc	PROPN
ispiv-158	133	80	helicopter	helicopter	NOUN
ispiv-158	133	81	fixed	fix	VERB
ispiv-158	133	82	on	on	ADP
ispiv-158	133	83	the	the	DET
ispiv-158	133	84	ground	ground	NOUN
ispiv-158	133	85	,	,	PUNCT
ispiv-158	133	86	by	by	ADP
ispiv-158	133	87	courtesy	courtesy	NOUN
ispiv-158	133	88	of	of	ADP
ispiv-158	133	89	german	german	ADJ
ispiv-158	133	90	aerospace	aerospace	NOUN
ispiv-158	133	91	center	center	NOUN
ispiv-158	133	92	(	(	PUNCT
ispiv-158	133	93	schanz	schanz	NOUN
ispiv-158	133	94	,	,	PUNCT
ispiv-158	133	95	schröder	schröder	NOUN
ispiv-158	133	96	and	and	CCONJ
ispiv-158	133	97	huhn	huhn	PROPN
ispiv-158	133	98	,	,	PUNCT
ispiv-158	133	99	dlr	dlr	NOUN
ispiv-158	133	100	göttingen	göttingen	NOUN
ispiv-158	133	101	)	)	PUNCT
ispiv-158	133	102	,	,	PUNCT
ispiv-158	133	103	which	which	PRON
ispiv-158	133	104	was	be	AUX
ispiv-158	133	105	measured	measure	VERB
ispiv-158	133	106	as	as	ADP
ispiv-158	133	107	an	an	DET
ispiv-158	133	108	experimental	experimental	ADJ
ispiv-158	133	109	campaign	campaign	NOUN
ispiv-158	133	110	during	during	ADP
ispiv-158	133	111	piv	piv	NOUN
ispiv-158	133	112	course	course	NOUN
ispiv-158	133	113	2018	2018	NUM
ispiv-158	133	114	in	in	ADP
ispiv-158	133	115	göttingen	göttingen	NOUN
ispiv-158	133	116	.	.	PUNCT
ispiv-158	134	1	the	the	DET
ispiv-158	134	2	particle	particle	NOUN
ispiv-158	134	3	images	image	NOUN
ispiv-158	134	4	were	be	AUX
ispiv-158	134	5	subjected	subject	VERB
ispiv-158	134	6	to	to	ADP
ispiv-158	134	7	stb	stb	NOUN
ispiv-158	134	8	to	to	PART
ispiv-158	134	9	reconstruct	reconstruct	VERB
ispiv-158	134	10	time	time	NOUN
ispiv-158	134	11	-	-	PUNCT
ispiv-158	134	12	resolved	resolve	VERB
ispiv-158	134	13	particle	particle	NOUN
ispiv-158	134	14	tracks	track	NOUN
ispiv-158	134	15	to	to	PART
ispiv-158	134	16	which	which	PRON
ispiv-158	134	17	the	the	DET
ispiv-158	134	18	data	data	NOUN
ispiv-158	134	19	assimilation	assimilation	NOUN
ispiv-158	134	20	methods	method	NOUN
ispiv-158	134	21	(	(	PUNCT
ispiv-158	134	22	3d	3d	NUM
ispiv-158	134	23	and	and	CCONJ
ispiv-158	134	24	proposed	propose	VERB
ispiv-158	134	25	4d	4d	NUM
ispiv-158	134	26	)	)	PUNCT
ispiv-158	134	27	are	be	AUX
ispiv-158	134	28	applied	apply	VERB
ispiv-158	134	29	.	.	PUNCT
ispiv-158	135	1	scattered	scatter	VERB
ispiv-158	135	2	ptv	ptv	PROPN
ispiv-158	135	3	vectors	vector	NOUN
ispiv-158	135	4	were	be	AUX
ispiv-158	135	5	sampled	sample	VERB
ispiv-158	135	6	using	use	VERB
ispiv-158	135	7	a	a	DET
ispiv-158	135	8	second	second	ADJ
ispiv-158	135	9	-	-	PUNCT
ispiv-158	135	10	order	order	NOUN
ispiv-158	135	11	polynomial	polynomial	ADJ
ispiv-158	135	12	trajectory	trajectory	NOUN
ispiv-158	135	13	.	.	PUNCT
ispiv-158	136	1	in	in	ADP
ispiv-158	136	2	order	order	NOUN
ispiv-158	136	3	to	to	PART
ispiv-158	136	4	exaggerate	exaggerate	VERB
ispiv-158	136	5	input	input	NOUN
ispiv-158	136	6	noise	noise	NOUN
ispiv-158	136	7	,	,	PUNCT
ispiv-158	136	8	the	the	DET
ispiv-158	136	9	sampling	sampling	NOUN
ispiv-158	136	10	was	be	AUX
ispiv-158	136	11	conducted	conduct	VERB
ispiv-158	136	12	over	over	ADP
ispiv-158	136	13	only	only	ADV
ispiv-158	136	14	five	five	NUM
ispiv-158	136	15	ptv	ptv	NOUN
ispiv-158	136	16	instances	instance	NOUN
ispiv-158	136	17	.	.	PUNCT
ispiv-158	137	1	table	table	NOUN
ispiv-158	137	2	2	2	NUM
ispiv-158	137	3	summarizes	summarize	NOUN
ispiv-158	137	4	the	the	DET
ispiv-158	137	5	measurement	measurement	NOUN
ispiv-158	137	6	conditions	condition	NOUN
ispiv-158	137	7	and	and	CCONJ
ispiv-158	137	8	the	the	DET
ispiv-158	137	9	reconstruction	reconstruction	NOUN
ispiv-158	137	10	data	datum	NOUN
ispiv-158	137	11	assimilation	assimilation	NOUN
ispiv-158	137	12	parameters	parameter	NOUN
ispiv-158	137	13	for	for	ADP
ispiv-158	137	14	both	both	DET
ispiv-158	137	15	measurements	measurement	NOUN
ispiv-158	137	16	.	.	PUNCT
ispiv-158	138	1	table	table	NOUN
ispiv-158	138	2	2	2	NUM
ispiv-158	138	3	:	:	PUNCT
ispiv-158	138	4	summary	summary	NOUN
ispiv-158	138	5	of	of	ADP
ispiv-158	138	6	the	the	DET
ispiv-158	138	7	measurement	measurement	NOUN
ispiv-158	138	8	conditions	condition	NOUN
ispiv-158	138	9	and	and	CCONJ
ispiv-158	138	10	the	the	DET
ispiv-158	138	11	reconstruction	reconstruction	NOUN
ispiv-158	138	12	parameters	parameter	NOUN
ispiv-158	138	13	water	water	NOUN
ispiv-158	138	14	jet	jet	NOUN
ispiv-158	138	15	(	(	PUNCT
ispiv-158	138	16	by	by	ADP
ispiv-158	138	17	courtesy	courtesy	NOUN
ispiv-158	138	18	of	of	ADP
ispiv-158	138	19	tu	tu	PROPN
ispiv-158	138	20	-	-	PUNCT
ispiv-158	138	21	delft	delft	NOUN
ispiv-158	138	22	)	)	PUNCT
ispiv-158	138	23	rc	rc	PROPN
ispiv-158	138	24	-	-	NOUN
ispiv-158	138	25	helicopter	helicopter	NOUN
ispiv-158	138	26	(	(	PUNCT
ispiv-158	138	27	by	by	ADP
ispiv-158	138	28	courtesy	courtesy	NOUN
ispiv-158	138	29	of	of	ADP
ispiv-158	138	30	dlr	dlr	NOUN
ispiv-158	138	31	)	)	PUNCT
ispiv-158	138	32	measurement	measurement	NOUN
ispiv-158	138	33	working	work	VERB
ispiv-158	138	34	fluid	fluid	NOUN
ispiv-158	138	35	water	water	NOUN
ispiv-158	138	36	air	air	NOUN
ispiv-158	138	37	seeding	seed	VERB
ispiv-158	138	38	particle	particle	NOUN
ispiv-158	138	39	polyamide	polyamide	NOUN
ispiv-158	138	40	particles	particle	NOUN
ispiv-158	138	41	helium	helium	NOUN
ispiv-158	138	42	-	-	PUNCT
ispiv-158	138	43	filled	fill	VERB
ispiv-158	138	44	soap	soap	NOUN
ispiv-158	138	45	bubble	bubble	NOUN
ispiv-158	138	46	(	(	PUNCT
ispiv-158	138	47	hfsb	hfsb	NOUN
ispiv-158	138	48	)	)	PUNCT
ispiv-158	138	49	illumination	illumination	NOUN
ispiv-158	138	50	nd	nd	NOUN
ispiv-158	138	51	-	-	PUNCT
ispiv-158	138	52	ylf	ylf	NOUN
ispiv-158	138	53	laser	laser	NOUN
ispiv-158	138	54	led	lead	VERB
ispiv-158	138	55	acquisition	acquisition	NOUN
ispiv-158	138	56	frequency	frequency	NOUN
ispiv-158	138	57	1.3	1.3	NUM
ispiv-158	138	58	khz	khz	NOUN
ispiv-158	138	59	1.8	1.8	NUM
ispiv-158	138	60	khz	khz	NOUN
ispiv-158	138	61	representative	representative	ADJ
ispiv-158	138	62	speed	speed	NOUN
ispiv-158	138	63	0.5	0.5	NUM
ispiv-158	138	64	m	m	NOUN
ispiv-158	138	65	/	/	SYM
ispiv-158	138	66	s	s	NOUN
ispiv-158	138	67	at	at	ADP
ispiv-158	138	68	the	the	DET
ispiv-158	138	69	nozzle	nozzle	NOUN
ispiv-158	138	70	exit	exit	NOUN
ispiv-158	138	71	whose	whose	DET
ispiv-158	138	72	diameter	diameter	NOUN
ispiv-158	138	73	is	be	AUX
ispiv-158	138	74	10	10	NUM
ispiv-158	138	75	mm	mm	NOUN
ispiv-158	138	76	(	(	PUNCT
ispiv-158	138	77	red	red	NOUN
ispiv-158	138	78	=	=	SYM
ispiv-158	138	79	5000	5000	NUM
ispiv-158	138	80	)	)	PUNCT
ispiv-158	138	81	12.5	12.5	NUM
ispiv-158	138	82	m	m	NOUN
ispiv-158	138	83	/	/	SYM
ispiv-158	138	84	s	s	X
ispiv-158	138	85	at	at	ADP
ispiv-158	138	86	the	the	DET
ispiv-158	138	87	center	center	NOUN
ispiv-158	138	88	of	of	ADP
ispiv-158	138	89	blades	blade	NOUN
ispiv-158	138	90	data	data	PROPN
ispiv-158	138	91	assimilation	assimilation	NOUN
ispiv-158	138	92	stb	stb	NOUN
ispiv-158	138	93	sampling	sample	VERB
ispiv-158	138	94	2nd	2nd	ADJ
ispiv-158	138	95	order	order	NOUN
ispiv-158	138	96	polynomial	polynomial	ADJ
ispiv-158	138	97	over	over	ADP
ispiv-158	138	98	5∆𝑇	5∆𝑇	PROPN
ispiv-158	138	99	2nd	2nd	ADJ
ispiv-158	138	100	order	order	NOUN
ispiv-158	138	101	polynomial	polynomial	ADJ
ispiv-158	138	102	over	over	ADP
ispiv-158	138	103	5∆𝑇	5∆𝑇	PROPN
ispiv-158	138	104	number	number	NOUN
ispiv-158	138	105	of	of	ADP
ispiv-158	138	106	tracks	track	NOUN
ispiv-158	138	107	(	(	PUNCT
ispiv-158	138	108	ca	ca	NOUN
ispiv-158	138	109	.	.	PUNCT
ispiv-158	138	110	)	)	PUNCT
ispiv-158	139	1	10,000	10,000	NUM
ispiv-158	139	2	46,000	46,000	NUM
ispiv-158	139	3	reconstruction	reconstruction	NOUN
ispiv-158	139	4	volume	volume	NOUN
ispiv-158	139	5	28	28	NUM
ispiv-158	139	6	×	×	NOUN
ispiv-158	139	7	56	56	NUM
ispiv-158	139	8	×	×	NOUN
ispiv-158	139	9	28	28	NUM
ispiv-158	139	10	mm3	mm3	NOUN
ispiv-158	139	11	362	362	NUM
ispiv-158	139	12	×	×	NOUN
ispiv-158	139	13	577	577	NUM
ispiv-158	139	14	×	×	NOUN
ispiv-158	139	15	362	362	NUM
ispiv-158	139	16	mm3	mm3	ADJ
ispiv-158	139	17	dimension	dimension	NOUN
ispiv-158	139	18	of	of	ADP
ispiv-158	139	19	grid	grid	NOUN
ispiv-158	139	20	61	61	NUM
ispiv-158	139	21	×	×	NOUN
ispiv-158	139	22	121	121	NUM
ispiv-158	139	23	×	×	NOUN
ispiv-158	139	24	61	61	NUM
ispiv-158	139	25	(	(	PUNCT
ispiv-158	139	26	h	h	NOUN
ispiv-158	139	27	=	=	NOUN
ispiv-158	139	28	0.47	0.47	NUM
ispiv-158	139	29	mm	mm	NOUN
ispiv-158	139	30	)	)	PUNCT
ispiv-158	139	31	85	85	NUM
ispiv-158	139	32	×	×	NOUN
ispiv-158	139	33	135	135	NUM
ispiv-158	139	34	×	×	NOUN
ispiv-158	139	35	85	85	NUM
ispiv-158	139	36	(	(	PUNCT
ispiv-158	139	37	h	h	NOUN
ispiv-158	139	38	=	=	NOUN
ispiv-158	139	39	4.3	4.3	NUM
ispiv-158	139	40	mm	mm	NOUN
ispiv-158	139	41	)	)	PUNCT
ispiv-158	139	42	number	number	NOUN
ispiv-158	139	43	of	of	ADP
ispiv-158	139	44	iterations	iteration	NOUN
ispiv-158	139	45	100	100	NUM
ispiv-158	139	46	200	200	NUM
ispiv-158	139	47	in	in	ADP
ispiv-158	139	48	the	the	DET
ispiv-158	139	49	water	water	NOUN
ispiv-158	139	50	jet	jet	NOUN
ispiv-158	139	51	experiment	experiment	NOUN
ispiv-158	139	52	,	,	PUNCT
ispiv-158	139	53	a	a	DET
ispiv-158	139	54	vortex	vortex	NOUN
ispiv-158	139	55	ring	ring	NOUN
ispiv-158	139	56	is	be	AUX
ispiv-158	139	57	generated	generate	VERB
ispiv-158	139	58	at	at	ADP
ispiv-158	139	59	the	the	DET
ispiv-158	139	60	nozzle	nozzle	NOUN
ispiv-158	139	61	exit	exit	NOUN
ispiv-158	139	62	.	.	PUNCT
ispiv-158	140	1	as	as	SCONJ
ispiv-158	140	2	the	the	DET
ispiv-158	140	3	vortex	vortex	NOUN
ispiv-158	140	4	ring	ring	NOUN
ispiv-158	140	5	travels	travel	VERB
ispiv-158	140	6	,	,	PUNCT
ispiv-158	140	7	its	its	PRON
ispiv-158	140	8	shape	shape	NOUN
ispiv-158	140	9	gets	get	AUX
ispiv-158	140	10	distorted	distort	VERB
ispiv-158	140	11	and	and	CCONJ
ispiv-158	140	12	finally	finally	ADV
ispiv-158	140	13	breaks	break	VERB
ispiv-158	140	14	into	into	ADP
ispiv-158	140	15	minor	minor	ADJ
ispiv-158	140	16	small	small	ADJ
ispiv-158	140	17	structures	structure	NOUN
ispiv-158	140	18	.	.	PUNCT
ispiv-158	141	1	figure	figure	VERB
ispiv-158	141	2	7	7	NUM
ispiv-158	141	3	compares	compare	VERB
ispiv-158	141	4	two	two	NUM
ispiv-158	141	5	vortex	vortex	NOUN
ispiv-158	141	6	rings	ring	NOUN
ispiv-158	141	7	,	,	PUNCT
ispiv-158	141	8	most	most	ADV
ispiv-158	141	9	stable	stable	ADJ
ispiv-158	141	10	and	and	CCONJ
ispiv-158	141	11	most	most	ADV
ispiv-158	141	12	distorted	distort	VERB
ispiv-158	141	13	,	,	PUNCT
ispiv-158	141	14	reconstructed	reconstruct	VERB
ispiv-158	141	15	by	by	ADP
ispiv-158	141	16	the	the	DET
ispiv-158	141	17	3d	3d	PROPN
ispiv-158	141	18	method	method	NOUN
ispiv-158	141	19	and	and	CCONJ
ispiv-158	141	20	the	the	DET
ispiv-158	141	21	4d	4d	NUM
ispiv-158	141	22	approach	approach	NOUN
ispiv-158	141	23	using	use	VERB
ispiv-158	141	24	rk4	rk4	NOUN
ispiv-158	141	25	with	with	ADP
ispiv-158	141	26	different	different	ADJ
ispiv-158	141	27	selections	selection	NOUN
ispiv-158	141	28	of	of	ADP
ispiv-158	141	29	l.	l.	PROPN
ispiv-158	141	30	as	as	ADP
ispiv-158	141	31	l	l	NOUN
ispiv-158	141	32	increases	increase	NOUN
ispiv-158	141	33	,	,	PUNCT
ispiv-158	141	34	the	the	DET
ispiv-158	141	35	stable	stable	ADJ
ispiv-158	141	36	one	one	NOUN
ispiv-158	141	37	gets	get	VERB
ispiv-158	141	38	closer	close	ADJ
ispiv-158	141	39	to	to	ADP
ispiv-158	141	40	a	a	DET
ispiv-158	141	41	circular	circular	ADJ
ispiv-158	141	42	shape	shape	NOUN
ispiv-158	141	43	,	,	PUNCT
ispiv-158	141	44	and	and	CCONJ
ispiv-158	141	45	the	the	DET
ispiv-158	141	46	most	most	ADV
ispiv-158	141	47	distorted	distort	VERB
ispiv-158	141	48	one	one	NUM
ispiv-158	141	49	further	far	ADV
ispiv-158	141	50	restores	restore	VERB
ispiv-158	141	51	a	a	DET
ispiv-158	141	52	tortuous	tortuous	ADJ
ispiv-158	141	53	shape	shape	NOUN
ispiv-158	141	54	with	with	ADP
ispiv-158	141	55	a	a	DET
ispiv-158	141	56	homogeneous	homogeneous	ADJ
ispiv-158	141	57	thickness	thickness	NOUN
ispiv-158	141	58	.	.	PUNCT
ispiv-158	142	1	figure	figure	VERB
ispiv-158	142	2	7	7	NUM
ispiv-158	142	3	:	:	PUNCT
ispiv-158	142	4	vortical	vortical	ADJ
ispiv-158	142	5	structures	structure	NOUN
ispiv-158	142	6	in	in	ADP
ispiv-158	142	7	the	the	DET
ispiv-158	142	8	water	water	NOUN
ispiv-158	142	9	jet	jet	NOUN
ispiv-158	142	10	experiment	experiment	NOUN
ispiv-158	142	11	visualized	visualize	VERB
ispiv-158	142	12	by	by	ADP
ispiv-158	142	13	iso	iso	NOUN
ispiv-158	142	14	-	-	PUNCT
ispiv-158	142	15	surfaces	surface	NOUN
ispiv-158	142	16	.	.	PUNCT
ispiv-158	143	1	the	the	DET
ispiv-158	143	2	entire	entire	ADJ
ispiv-158	143	3	vortical	vortical	ADJ
ispiv-158	143	4	structure	structure	NOUN
ispiv-158	143	5	(	(	PUNCT
ispiv-158	143	6	left	left	ADJ
ispiv-158	143	7	)	)	PUNCT
ispiv-158	143	8	is	be	AUX
ispiv-158	143	9	from	from	ADP
ispiv-158	143	10	rk4	rk4	NOUN
ispiv-158	143	11	with	with	ADP
ispiv-158	143	12	l	l	NOUN
ispiv-158	143	13	=	=	SYM
ispiv-158	143	14	33	33	NUM
ispiv-158	143	15	.	.	PUNCT
ispiv-158	144	1	14th	14th	ADJ
ispiv-158	144	2	international	international	ADJ
ispiv-158	144	3	symposium	symposium	NOUN
ispiv-158	144	4	on	on	ADP
ispiv-158	144	5	particle	particle	NOUN
ispiv-158	144	6	image	image	NOUN
ispiv-158	144	7	velocimetry	velocimetry	NOUN
ispiv-158	144	8	–	–	PUNCT
ispiv-158	144	9	ispiv2021	ispiv2021	PROPN
ispiv-158	144	10	august	august	PROPN
ispiv-158	144	11	1–5	1–5	NUM
ispiv-158	144	12	,	,	PUNCT
ispiv-158	144	13	2021	2021	NUM
ispiv-158	144	14	8	8	NUM
ispiv-158	144	15	moreover	moreover	ADV
ispiv-158	144	16	,	,	PUNCT
ispiv-158	144	17	how	how	SCONJ
ispiv-158	144	18	well	well	ADV
ispiv-158	144	19	the	the	DET
ispiv-158	144	20	simulated	simulate	VERB
ispiv-158	144	21	instances	instance	NOUN
ispiv-158	144	22	represent	represent	VERB
ispiv-158	144	23	physical	physical	ADJ
ispiv-158	144	24	phenomena	phenomenon	NOUN
ispiv-158	144	25	is	be	AUX
ispiv-158	144	26	also	also	ADV
ispiv-158	144	27	a	a	DET
ispiv-158	144	28	question	question	NOUN
ispiv-158	144	29	.	.	PUNCT
ispiv-158	145	1	figure	figure	NOUN
ispiv-158	145	2	8	8	NUM
ispiv-158	145	3	compares	compare	VERB
ispiv-158	145	4	five	five	NUM
ispiv-158	145	5	instances	instance	NOUN
ispiv-158	145	6	,	,	PUNCT
ispiv-158	145	7	which	which	PRON
ispiv-158	145	8	are	be	AUX
ispiv-158	145	9	reconstructed	reconstruct	VERB
ispiv-158	145	10	independently	independently	ADV
ispiv-158	145	11	by	by	ADP
ispiv-158	145	12	the	the	DET
ispiv-158	145	13	3d	3d	PROPN
ispiv-158	145	14	method	method	NOUN
ispiv-158	145	15	and	and	CCONJ
ispiv-158	145	16	simultaneously	simultaneously	ADV
ispiv-158	145	17	by	by	ADP
ispiv-158	145	18	the	the	DET
ispiv-158	145	19	4d	4d	NUM
ispiv-158	145	20	approach	approach	NOUN
ispiv-158	145	21	,	,	PUNCT
ispiv-158	145	22	i.e.	i.e.	X
ispiv-158	145	23	,	,	PUNCT
ispiv-158	145	24	four	four	NUM
ispiv-158	145	25	instances	instance	NOUN
ispiv-158	145	26	other	other	ADJ
ispiv-158	145	27	than	than	ADP
ispiv-158	145	28	𝑡0	𝑡0	NOUN
ispiv-158	145	29	from	from	ADP
ispiv-158	145	30	the	the	DET
ispiv-158	145	31	4d	4d	NUM
ispiv-158	145	32	approach	approach	NOUN
ispiv-158	145	33	are	be	AUX
ispiv-158	145	34	simulated	simulated	ADJ
ispiv-158	145	35	ones	one	NOUN
ispiv-158	145	36	.	.	PUNCT
ispiv-158	146	1	the	the	DET
ispiv-158	146	2	simulated	simulate	VERB
ispiv-158	146	3	results	result	NOUN
ispiv-158	146	4	show	show	VERB
ispiv-158	146	5	a	a	DET
ispiv-158	146	6	good	good	ADJ
ispiv-158	146	7	agreement	agreement	NOUN
ispiv-158	146	8	in	in	ADP
ispiv-158	146	9	locations	location	NOUN
ispiv-158	146	10	of	of	ADP
ispiv-158	146	11	vortical	vortical	ADJ
ispiv-158	146	12	structures	structure	NOUN
ispiv-158	146	13	from	from	ADP
ispiv-158	146	14	the	the	DET
ispiv-158	146	15	3d	3d	NUM
ispiv-158	146	16	method	method	NOUN
ispiv-158	146	17	.	.	PUNCT
ispiv-158	147	1	how	how	SCONJ
ispiv-158	147	2	the	the	DET
ispiv-158	147	3	vortex	vortex	NOUN
ispiv-158	147	4	rings	ring	NOUN
ispiv-158	147	5	are	be	AUX
ispiv-158	147	6	transformed	transform	VERB
ispiv-158	147	7	and	and	CCONJ
ispiv-158	147	8	moved	move	VERB
ispiv-158	147	9	around	around	ADP
ispiv-158	147	10	the	the	DET
ispiv-158	147	11	jet	jet	NOUN
ispiv-158	147	12	core	core	NOUN
ispiv-158	147	13	are	be	AUX
ispiv-158	147	14	well	well	ADV
ispiv-158	147	15	visualized	visualize	VERB
ispiv-158	147	16	by	by	ADP
ispiv-158	147	17	the	the	DET
ispiv-158	147	18	4d	4d	NUM
ispiv-158	147	19	approach	approach	NOUN
ispiv-158	147	20	.	.	PUNCT
ispiv-158	148	1	the	the	DET
ispiv-158	148	2	donut	donut	NOUN
ispiv-158	148	3	-	-	PUNCT
ispiv-158	148	4	like	like	ADJ
ispiv-158	148	5	small	small	ADJ
ispiv-158	148	6	vortex	vortex	NOUN
ispiv-158	148	7	rings	ring	NOUN
ispiv-158	148	8	shown	show	VERB
ispiv-158	148	9	by	by	ADP
ispiv-158	148	10	the	the	DET
ispiv-158	148	11	3d	3d	PROPN
ispiv-158	148	12	method	method	NOUN
ispiv-158	148	13	are	be	AUX
ispiv-158	148	14	caused	cause	VERB
ispiv-158	148	15	by	by	ADP
ispiv-158	148	16	the	the	DET
ispiv-158	148	17	relatively	relatively	ADV
ispiv-158	148	18	sparse	sparse	ADJ
ispiv-158	148	19	vectors	vector	NOUN
ispiv-158	148	20	far	far	ADV
ispiv-158	148	21	from	from	ADP
ispiv-158	148	22	the	the	DET
ispiv-158	148	23	jet	jet	NOUN
ispiv-158	148	24	core	core	NOUN
ispiv-158	148	25	and	and	CCONJ
ispiv-158	148	26	are	be	AUX
ispiv-158	148	27	disappeared	disappear	VERB
ispiv-158	148	28	in	in	ADP
ispiv-158	148	29	the	the	DET
ispiv-158	148	30	4d	4d	NUM
ispiv-158	148	31	approach	approach	NOUN
ispiv-158	148	32	.	.	PUNCT
ispiv-158	149	1	the	the	DET
ispiv-158	149	2	upper	upper	ADJ
ispiv-158	149	3	half	half	NOUN
ispiv-158	149	4	of	of	ADP
ispiv-158	149	5	the	the	DET
ispiv-158	149	6	domain	domain	NOUN
ispiv-158	149	7	is	be	AUX
ispiv-158	149	8	filled	fill	VERB
ispiv-158	149	9	with	with	ADP
ispiv-158	149	10	vortex	vortex	NOUN
ispiv-158	149	11	fragments	fragment	NOUN
ispiv-158	149	12	that	that	PRON
ispiv-158	149	13	might	might	AUX
ispiv-158	149	14	be	be	AUX
ispiv-158	149	15	from	from	ADP
ispiv-158	149	16	past	past	ADJ
ispiv-158	149	17	vortex	vortex	NOUN
ispiv-158	149	18	rings	ring	NOUN
ispiv-158	149	19	.	.	PUNCT
ispiv-158	150	1	the	the	DET
ispiv-158	150	2	vortical	vortical	ADJ
ispiv-158	150	3	fragments	fragment	NOUN
ispiv-158	150	4	in	in	ADP
ispiv-158	150	5	this	this	DET
ispiv-158	150	6	regime	regime	NOUN
ispiv-158	150	7	seem	seem	VERB
ispiv-158	150	8	to	to	PART
ispiv-158	150	9	be	be	AUX
ispiv-158	150	10	getting	getting	AUX
ispiv-158	150	11	pressed	press	VERB
ispiv-158	150	12	by	by	ADP
ispiv-158	150	13	the	the	DET
ispiv-158	150	14	incoming	incoming	ADJ
ispiv-158	150	15	vortex	vortex	NOUN
ispiv-158	150	16	ring	ring	NOUN
ispiv-158	150	17	faster	fast	ADV
ispiv-158	150	18	than	than	ADP
ispiv-158	150	19	their	their	PRON
ispiv-158	150	20	bulk	bulk	ADJ
ispiv-158	150	21	speed	speed	NOUN
ispiv-158	150	22	.	.	PUNCT
ispiv-158	151	1	the	the	DET
ispiv-158	151	2	assumption	assumption	NOUN
ispiv-158	151	3	explains	explain	VERB
ispiv-158	151	4	why	why	SCONJ
ispiv-158	151	5	the	the	DET
ispiv-158	151	6	vortical	vortical	ADJ
ispiv-158	151	7	fragments	fragment	NOUN
ispiv-158	151	8	are	be	AUX
ispiv-158	151	9	getting	get	VERB
ispiv-158	151	10	stronger	strong	ADJ
ispiv-158	151	11	and	and	CCONJ
ispiv-158	151	12	thus	thus	ADV
ispiv-158	151	13	denser	dense	ADJ
ispiv-158	151	14	.	.	PUNCT
ispiv-158	152	1	𝑡	𝑡	PROPN
ispiv-158	152	2	=	=	PROPN
ispiv-158	152	3	𝑡0	𝑡0	PROPN
ispiv-158	152	4	−	−	PROPN
ispiv-158	152	5	16∆𝑇	16∆𝑇	PROPN
ispiv-158	152	6	𝑡	𝑡	PROPN
ispiv-158	152	7	=	=	PROPN
ispiv-158	152	8	𝑡0	𝑡0	PROPN
ispiv-158	152	9	−	−	PROPN
ispiv-158	152	10	8∆𝑇	8∆𝑇	NUM
ispiv-158	152	11	𝑡	𝑡	PROPN
ispiv-158	152	12	=	=	SYM
ispiv-158	152	13	𝑡0	𝑡0	PROPN
ispiv-158	152	14	𝑡	𝑡	PROPN
ispiv-158	152	15	=	=	PROPN
ispiv-158	152	16	𝑡0	𝑡0	PROPN
ispiv-158	152	17	+	+	CCONJ
ispiv-158	152	18	8∆𝑇	8∆𝑇	NUM
ispiv-158	152	19	𝑡	𝑡	PROPN
ispiv-158	152	20	=	=	PROPN
ispiv-158	152	21	𝑡0	𝑡0	PROPN
ispiv-158	152	22	+	+	CCONJ
ispiv-158	152	23	16∆𝑇	16∆𝑇	PROPN
ispiv-158	152	24	3d	3d	NOUN
ispiv-158	152	25	(	(	PUNCT
ispiv-158	152	26	vic	vic	NOUN
ispiv-158	152	27	#	#	NOUN
ispiv-158	152	28	)	)	PUNCT
ispiv-158	152	29	4d	4d	NUM
ispiv-158	152	30	-	-	PUNCT
ispiv-158	152	31	rk4	rk4	NOUN
ispiv-158	152	32	l	l	NOUN
ispiv-158	152	33	=	=	SYM
ispiv-158	152	34	33	33	NUM
ispiv-158	152	35	(	(	PUNCT
ispiv-158	152	36	present	present	ADJ
ispiv-158	152	37	)	)	PUNCT
ispiv-158	152	38	figure	figure	NOUN
ispiv-158	152	39	8	8	NUM
ispiv-158	152	40	:	:	PUNCT
ispiv-158	152	41	temporal	temporal	ADJ
ispiv-158	152	42	evolution	evolution	NOUN
ispiv-158	152	43	of	of	ADP
ispiv-158	152	44	vortical	vortical	ADJ
ispiv-158	152	45	structures	structure	NOUN
ispiv-158	152	46	.	.	PUNCT
ispiv-158	153	1	iso	iso	NOUN
ispiv-158	153	2	-	-	PUNCT
ispiv-158	153	3	surfaces	surface	NOUN
ispiv-158	153	4	share	share	VERB
ispiv-158	153	5	the	the	DET
ispiv-158	153	6	same	same	ADJ
ispiv-158	153	7	criteria	criterion	NOUN
ispiv-158	153	8	as	as	ADP
ispiv-158	153	9	fig	fig	NOUN
ispiv-158	153	10	.	.	PUNCT
ispiv-158	154	1	7	7	NUM
ispiv-158	154	2	;	;	PUNCT
ispiv-158	154	3	from	from	ADP
ispiv-158	154	4	independent	independent	ADJ
ispiv-158	154	5	reconstructions	reconstruction	NOUN
ispiv-158	154	6	by	by	ADP
ispiv-158	154	7	the	the	DET
ispiv-158	154	8	3d	3d	PROPN
ispiv-158	154	9	method	method	NOUN
ispiv-158	154	10	(	(	PUNCT
ispiv-158	154	11	top	top	NOUN
ispiv-158	154	12	)	)	PUNCT
ispiv-158	154	13	and	and	CCONJ
ispiv-158	154	14	from	from	ADP
ispiv-158	154	15	a	a	DET
ispiv-158	154	16	single	single	ADJ
ispiv-158	154	17	4d	4d	NUM
ispiv-158	154	18	time	time	NOUN
ispiv-158	154	19	block	block	NOUN
ispiv-158	154	20	by	by	ADP
ispiv-158	154	21	the	the	DET
ispiv-158	154	22	4d	4d	NUM
ispiv-158	154	23	approach	approach	NOUN
ispiv-158	154	24	(	(	PUNCT
ispiv-158	154	25	bottom	bottom	NOUN
ispiv-158	154	26	)	)	PUNCT
ispiv-158	154	27	for	for	ADP
ispiv-158	154	28	the	the	DET
ispiv-158	154	29	rc	rc	PROPN
ispiv-158	154	30	helicopter	helicopter	NOUN
ispiv-158	154	31	measurement	measurement	NOUN
ispiv-158	154	32	,	,	PUNCT
ispiv-158	154	33	the	the	DET
ispiv-158	154	34	3d	3d	NUM
ispiv-158	154	35	method	method	NOUN
ispiv-158	154	36	and	and	CCONJ
ispiv-158	154	37	the	the	DET
ispiv-158	154	38	4d	4d	NUM
ispiv-158	154	39	approach	approach	NOUN
ispiv-158	154	40	with	with	ADP
ispiv-158	154	41	rk4	rk4	NOUN
ispiv-158	154	42	for	for	ADP
ispiv-158	154	43	l	l	NOUN
ispiv-158	154	44	=	=	SYM
ispiv-158	154	45	33	33	NUM
ispiv-158	154	46	were	be	AUX
ispiv-158	154	47	applied	apply	VERB
ispiv-158	154	48	.	.	PUNCT
ispiv-158	155	1	in	in	ADP
ispiv-158	155	2	addition	addition	NOUN
ispiv-158	155	3	,	,	PUNCT
ispiv-158	155	4	the	the	DET
ispiv-158	155	5	3d	3d	PROPN
ispiv-158	155	6	method	method	NOUN
ispiv-158	155	7	with	with	ADP
ispiv-158	155	8	an	an	DET
ispiv-158	155	9	increased	increase	VERB
ispiv-158	155	10	denoising	denoising	NOUN
ispiv-158	155	11	factor	factor	NOUN
ispiv-158	155	12	of	of	ADP
ispiv-158	155	13	vic	vic	NOUN
ispiv-158	155	14	#	#	SYM
ispiv-158	155	15	,	,	PUNCT
ispiv-158	155	16	𝑓dn	𝑓dn	NOUN
ispiv-158	155	17	=	=	NOUN
ispiv-158	155	18	5.0	5.0	NUM
ispiv-158	155	19	(	(	PUNCT
ispiv-158	155	20	default	default	NOUN
ispiv-158	155	21	=	=	SYM
ispiv-158	155	22	1.0	1.0	NUM
ispiv-158	155	23	)	)	PUNCT
ispiv-158	155	24	,	,	PUNCT
ispiv-158	155	25	was	be	AUX
ispiv-158	155	26	also	also	ADV
ispiv-158	155	27	tested	test	VERB
ispiv-158	155	28	,	,	PUNCT
ispiv-158	155	29	where	where	SCONJ
ispiv-158	155	30	𝑓dn	𝑓dn	NOUN
ispiv-158	155	31	plays	play	VERB
ispiv-158	155	32	a	a	DET
ispiv-158	155	33	role	role	NOUN
ispiv-158	155	34	in	in	ADP
ispiv-158	155	35	strengthening	strengthen	VERB
ispiv-158	155	36	the	the	DET
ispiv-158	155	37	least	least	ADJ
ispiv-158	155	38	-	-	PUNCT
ispiv-158	155	39	square	square	NOUN
ispiv-158	155	40	optimization	optimization	NOUN
ispiv-158	155	41	by	by	ADP
ispiv-158	155	42	the	the	DET
ispiv-158	155	43	pressure	pressure	NOUN
ispiv-158	155	44	poisson	poisson	NOUN
ispiv-158	155	45	equation	equation	NOUN
ispiv-158	155	46	and	and	CCONJ
ispiv-158	155	47	thus	thus	ADV
ispiv-158	155	48	suppresses	suppress	VERB
ispiv-158	155	49	spatial	spatial	ADJ
ispiv-158	155	50	velocity	velocity	NOUN
ispiv-158	155	51	fluctuations	fluctuation	NOUN
ispiv-158	155	52	.	.	PUNCT
ispiv-158	156	1	the	the	DET
ispiv-158	156	2	rotating	rotate	VERB
ispiv-158	156	3	blades	blade	NOUN
ispiv-158	156	4	generate	generate	VERB
ispiv-158	156	5	strong	strong	ADJ
ispiv-158	156	6	down	down	ADP
ispiv-158	156	7	washing	washing	NOUN
ispiv-158	156	8	vortices	vortex	NOUN
ispiv-158	156	9	at	at	ADP
ispiv-158	156	10	their	their	PRON
ispiv-158	156	11	tips	tip	NOUN
ispiv-158	156	12	whose	whose	DET
ispiv-158	156	13	moving	move	VERB
ispiv-158	156	14	direction	direction	NOUN
ispiv-158	156	15	is	be	AUX
ispiv-158	156	16	changed	change	VERB
ispiv-158	156	17	from	from	ADP
ispiv-158	156	18	vertical	vertical	ADJ
ispiv-158	156	19	to	to	ADP
ispiv-158	156	20	horizontal	horizontal	ADJ
ispiv-158	156	21	due	due	ADP
ispiv-158	156	22	to	to	ADP
ispiv-158	156	23	the	the	DET
ispiv-158	156	24	ground	ground	NOUN
ispiv-158	156	25	effect	effect	NOUN
ispiv-158	156	26	.	.	PUNCT
ispiv-158	157	1	figure	figure	NOUN
ispiv-158	157	2	9	9	NUM
ispiv-158	157	3	shows	show	VERB
ispiv-158	157	4	such	such	ADJ
ispiv-158	157	5	curving	curving	NOUN
ispiv-158	157	6	movement	movement	NOUN
ispiv-158	157	7	and	and	CCONJ
ispiv-158	157	8	smaller	small	ADJ
ispiv-158	157	9	secondary	secondary	ADJ
ispiv-158	157	10	structures	structure	NOUN
ispiv-158	157	11	around	around	ADV
ispiv-158	157	12	.	.	PUNCT
ispiv-158	158	1	the	the	DET
ispiv-158	158	2	blade	blade	NOUN
ispiv-158	158	3	tip	tip	NOUN
ispiv-158	158	4	vortex	vortex	NOUN
ispiv-158	158	5	is	be	AUX
ispiv-158	158	6	twisted	twist	VERB
ispiv-158	158	7	by	by	ADP
ispiv-158	158	8	the	the	DET
ispiv-158	158	9	interaction	interaction	NOUN
ispiv-158	158	10	with	with	ADP
ispiv-158	158	11	the	the	DET
ispiv-158	158	12	secondary	secondary	ADJ
ispiv-158	158	13	ones	one	NOUN
ispiv-158	158	14	and	and	CCONJ
ispiv-158	158	15	sometimes	sometimes	ADV
ispiv-158	158	16	transformed	transform	VERB
ispiv-158	158	17	into	into	ADP
ispiv-158	158	18	the	the	DET
ispiv-158	158	19	spiral	spiral	ADJ
ispiv-158	158	20	vortex	vortex	NOUN
ispiv-158	158	21	(	(	PUNCT
ispiv-158	158	22	fig	fig	NOUN
ispiv-158	158	23	.	.	PUNCT
ispiv-158	159	1	9b	9b	NUM
ispiv-158	159	2	)	)	PUNCT
ispiv-158	159	3	.	.	PUNCT
ispiv-158	160	1	the	the	DET
ispiv-158	160	2	velocity	velocity	NOUN
ispiv-158	160	3	plane	plane	NOUN
ispiv-158	160	4	near	near	ADP
ispiv-158	160	5	the	the	DET
ispiv-158	160	6	ground	ground	NOUN
ispiv-158	160	7	shows	show	VERB
ispiv-158	160	8	an	an	DET
ispiv-158	160	9	impinging	impinge	VERB
ispiv-158	160	10	behavior	behavior	NOUN
ispiv-158	160	11	(	(	PUNCT
ispiv-158	160	12	fig	fig	NOUN
ispiv-158	160	13	.	.	PUNCT
ispiv-158	161	1	9c	9c	NUM
ispiv-158	161	2	)	)	PUNCT
ispiv-158	161	3	.	.	PUNCT
ispiv-158	162	1	in	in	ADP
ispiv-158	162	2	figs	fig	NOUN
ispiv-158	162	3	.	.	PUNCT
ispiv-158	163	1	9b	9b	NOUN
ispiv-158	163	2	and	and	CCONJ
ispiv-158	163	3	9c	9c	NUM
ispiv-158	163	4	,	,	PUNCT
ispiv-158	163	5	even	even	ADV
ispiv-158	163	6	though	though	SCONJ
ispiv-158	163	7	the	the	DET
ispiv-158	163	8	selection	selection	NOUN
ispiv-158	163	9	of	of	ADP
ispiv-158	163	10	increased	increase	VERB
ispiv-158	163	11	𝑓dn	𝑓dn	NOUN
ispiv-158	163	12	shows	show	VERB
ispiv-158	163	13	the	the	DET
ispiv-158	163	14	smoothed	smooth	VERB
ispiv-158	163	15	flow	flow	NOUN
ispiv-158	163	16	structures	structure	NOUN
ispiv-158	163	17	as	as	SCONJ
ispiv-158	163	18	expected	expect	VERB
ispiv-158	163	19	,	,	PUNCT
ispiv-158	163	20	the	the	DET
ispiv-158	163	21	vortical	vortical	ADJ
ispiv-158	163	22	structures	structure	NOUN
ispiv-158	163	23	can	can	AUX
ispiv-158	163	24	not	not	PART
ispiv-158	163	25	be	be	AUX
ispiv-158	163	26	further	far	ADV
ispiv-158	163	27	detailed	detail	VERB
ispiv-158	163	28	.	.	PUNCT
ispiv-158	164	1	on	on	ADP
ispiv-158	164	2	the	the	DET
ispiv-158	164	3	other	other	ADJ
ispiv-158	164	4	hand	hand	NOUN
ispiv-158	164	5	,	,	PUNCT
ispiv-158	164	6	the	the	DET
ispiv-158	164	7	proposed	propose	VERB
ispiv-158	164	8	4d	4d	NUM
ispiv-158	164	9	approach	approach	NOUN
ispiv-158	164	10	can	can	AUX
ispiv-158	164	11	elaborate	elaborate	VERB
ispiv-158	164	12	the	the	DET
ispiv-158	164	13	vortical	vortical	ADJ
ispiv-158	164	14	structures	structure	NOUN
ispiv-158	164	15	even	even	ADV
ispiv-158	164	16	further	far	ADV
ispiv-158	164	17	by	by	ADP
ispiv-158	164	18	supplying	supply	VERB
ispiv-158	164	19	realizations	realization	NOUN
ispiv-158	164	20	from	from	ADP
ispiv-158	164	21	other	other	ADJ
ispiv-158	164	22	ptv	ptv	PROPN
ispiv-158	164	23	instances	instance	NOUN
ispiv-158	164	24	.	.	PUNCT
ispiv-158	165	1	figure	figure	NOUN
ispiv-158	165	2	9c	9c	NUM
ispiv-158	165	3	emphasis	emphasis	NOUN
ispiv-158	165	4	the	the	DET
ispiv-158	165	5	near	near	ADJ
ispiv-158	165	6	-	-	PUNCT
ispiv-158	165	7	wall	wall	NOUN
ispiv-158	165	8	vortical	vortical	ADJ
ispiv-158	165	9	structures	structure	NOUN
ispiv-158	165	10	,	,	PUNCT
ispiv-158	165	11	color	color	NOUN
ispiv-158	165	12	-	-	PUNCT
ispiv-158	165	13	coded	code	VERB
ispiv-158	165	14	by	by	ADP
ispiv-158	165	15	rotating	rotate	VERB
ispiv-158	165	16	direction	direction	NOUN
ispiv-158	165	17	.	.	PUNCT
ispiv-158	166	1	the	the	DET
ispiv-158	166	2	large	large	ADJ
ispiv-158	166	3	one	one	NOUN
ispiv-158	166	4	is	be	AUX
ispiv-158	166	5	a	a	DET
ispiv-158	166	6	slowly	slowly	ADV
ispiv-158	166	7	rotating	rotate	VERB
ispiv-158	166	8	cluster	cluster	NOUN
ispiv-158	166	9	of	of	ADP
ispiv-158	166	10	small	small	ADJ
ispiv-158	166	11	structures	structure	NOUN
ispiv-158	166	12	.	.	PUNCT
ispiv-158	167	1	the	the	DET
ispiv-158	167	2	elongated	elongate	VERB
ispiv-158	167	3	structures	structure	NOUN
ispiv-158	167	4	in	in	ADP
ispiv-158	167	5	the	the	DET
ispiv-158	167	6	x	x	NOUN
ispiv-158	167	7	-	-	NOUN
ispiv-158	167	8	axis	axis	NOUN
ispiv-158	167	9	with	with	ADP
ispiv-158	167	10	alternating	alternate	VERB
ispiv-158	167	11	color	color	NOUN
ispiv-158	167	12	codes	code	NOUN
ispiv-158	167	13	can	can	AUX
ispiv-158	167	14	be	be	AUX
ispiv-158	167	15	regarded	regard	VERB
ispiv-158	167	16	as	as	ADP
ispiv-158	167	17	the	the	DET
ispiv-158	167	18	streamwise	streamwise	NOUN
ispiv-158	167	19	vortices	vortex	NOUN
ispiv-158	167	20	and	and	CCONJ
ispiv-158	167	21	are	be	AUX
ispiv-158	167	22	accelerated	accelerate	VERB
ispiv-158	167	23	by	by	ADP
ispiv-158	167	24	rolling	roll	VERB
ispiv-158	167	25	out	out	ADP
ispiv-158	167	26	by	by	ADP
ispiv-158	167	27	the	the	DET
ispiv-158	167	28	down	down	ADJ
ispiv-158	167	29	washing	washing	NOUN
ispiv-158	167	30	blade	blade	NOUN
ispiv-158	167	31	tip	tip	NOUN
ispiv-158	167	32	vortices	vortex	NOUN
ispiv-158	167	33	.	.	PUNCT
ispiv-158	168	1	14th	14th	ADJ
ispiv-158	168	2	international	international	ADJ
ispiv-158	168	3	symposium	symposium	NOUN
ispiv-158	168	4	on	on	ADP
ispiv-158	168	5	particle	particle	NOUN
ispiv-158	168	6	image	image	NOUN
ispiv-158	168	7	velocimetry	velocimetry	NOUN
ispiv-158	168	8	–	–	PUNCT
ispiv-158	168	9	ispiv2021	ispiv2021	PROPN
ispiv-158	168	10	august	august	PROPN
ispiv-158	168	11	1–5	1–5	NUM
ispiv-158	168	12	,	,	PUNCT
ispiv-158	168	13	2021	2021	NUM
ispiv-158	168	14	9	9	NUM
ispiv-158	168	15	3d	3d	NOUN
ispiv-158	168	16	(	(	PUNCT
ispiv-158	168	17	vic	vic	NOUN
ispiv-158	168	18	#	#	NOUN
ispiv-158	168	19	)	)	PUNCT
ispiv-158	168	20	3d	3d	NOUN
ispiv-158	168	21	(	(	PUNCT
ispiv-158	168	22	vic	vic	NOUN
ispiv-158	168	23	#	#	NOUN
ispiv-158	168	24	,	,	PUNCT
ispiv-158	168	25	𝑓dn	𝑓dn	NOUN
ispiv-158	168	26	=	=	NOUN
ispiv-158	168	27	5.0	5.0	NUM
ispiv-158	168	28	)	)	PUNCT
ispiv-158	168	29	4d	4d	NUM
ispiv-158	168	30	-	-	PUNCT
ispiv-158	168	31	rk4	rk4	NOUN
ispiv-158	168	32	,	,	PUNCT
ispiv-158	168	33	l	l	NOUN
ispiv-158	168	34	=	=	SYM
ispiv-158	168	35	33	33	NUM
ispiv-158	168	36	(	(	PUNCT
ispiv-158	168	37	present	present	ADJ
ispiv-158	168	38	)	)	PUNCT
ispiv-158	168	39	figure	figure	NOUN
ispiv-158	168	40	9	9	NUM
ispiv-158	168	41	:	:	PUNCT
ispiv-158	168	42	vortical	vortical	ADJ
ispiv-158	168	43	structures	structure	NOUN
ispiv-158	168	44	under	under	ADP
ispiv-158	168	45	the	the	DET
ispiv-158	168	46	rotating	rotate	VERB
ispiv-158	168	47	blades	blade	NOUN
ispiv-158	168	48	of	of	ADP
ispiv-158	168	49	the	the	DET
ispiv-158	168	50	rc	rc	PROPN
ispiv-158	168	51	helicopter	helicopter	NOUN
ispiv-158	168	52	.	.	PUNCT
ispiv-158	169	1	iso	iso	NOUN
ispiv-158	169	2	-	-	PUNCT
ispiv-158	169	3	surfaces	surface	NOUN
ispiv-158	169	4	indicate	indicate	VERB
ispiv-158	169	5	𝜆2	𝜆2	NOUN
ispiv-158	169	6	=	=	SYM
ispiv-158	169	7	−15000	−15000	NOUN
ispiv-158	169	8	s−1	s−1	PROPN
ispiv-158	169	9	and	and	CCONJ
ispiv-158	169	10	contours	contours	NOUN
ispiv-158	169	11	on	on	ADP
ispiv-158	169	12	planes	plane	NOUN
ispiv-158	169	13	denote	denote	VERB
ispiv-158	169	14	the	the	DET
ispiv-158	169	15	velocity	velocity	NOUN
ispiv-158	169	16	magnitude	magnitude	NOUN
ispiv-158	169	17	,	,	PUNCT
ispiv-158	169	18	‖𝐮‖.	‖𝐮‖.	X
ispiv-158	169	19	(	(	PUNCT
ispiv-158	169	20	a	a	X
ispiv-158	169	21	)	)	PUNCT
ispiv-158	169	22	overall	overall	ADJ
ispiv-158	169	23	view	view	NOUN
ispiv-158	169	24	with	with	ADP
ispiv-158	169	25	boundary	boundary	ADJ
ispiv-158	169	26	vector	vector	NOUN
ispiv-158	169	27	planes	plane	NOUN
ispiv-158	169	28	,	,	PUNCT
ispiv-158	169	29	(	(	PUNCT
ispiv-158	169	30	b	b	X
ispiv-158	169	31	)	)	PUNCT
ispiv-158	169	32	zoomed	zoom	VERB
ispiv-158	169	33	images	image	NOUN
ispiv-158	169	34	of	of	ADP
ispiv-158	169	35	the	the	DET
ispiv-158	169	36	spiral	spiral	ADJ
ispiv-158	169	37	blade	blade	NOUN
ispiv-158	169	38	tip	tip	NOUN
ispiv-158	169	39	vortex	vortex	NOUN
ispiv-158	169	40	,	,	PUNCT
ispiv-158	169	41	(	(	PUNCT
ispiv-158	169	42	c	c	X
ispiv-158	169	43	)	)	PUNCT
ispiv-158	169	44	vector	vector	NOUN
ispiv-158	169	45	planes	plane	NOUN
ispiv-158	169	46	and	and	CCONJ
ispiv-158	169	47	vortical	vortical	ADJ
ispiv-158	169	48	structure	structure	NOUN
ispiv-158	169	49	near	near	ADP
ispiv-158	169	50	the	the	DET
ispiv-158	169	51	ground	ground	NOUN
ispiv-158	169	52	while	while	SCONJ
ispiv-158	169	53	colors	color	NOUN
ispiv-158	169	54	of	of	ADP
ispiv-158	169	55	iso	iso	NOUN
ispiv-158	169	56	-	-	PUNCT
ispiv-158	169	57	surface	surface	NOUN
ispiv-158	169	58	indicate	indicate	VERB
ispiv-158	169	59	a	a	DET
ispiv-158	169	60	sign	sign	NOUN
ispiv-158	169	61	of	of	ADP
ispiv-158	169	62	𝛚𝒙	𝛚𝒙	PROPN
ispiv-158	169	63	;	;	PUNCT
ispiv-158	169	64	red	red	ADJ
ispiv-158	169	65	for	for	ADP
ispiv-158	169	66	positive	positive	ADJ
ispiv-158	169	67	and	and	CCONJ
ispiv-158	169	68	blue	blue	ADJ
ispiv-158	169	69	for	for	ADP
ispiv-158	169	70	negative	negative	ADJ
ispiv-158	169	71	.	.	PUNCT
ispiv-158	170	1	5	5	NUM
ispiv-158	170	2	conclusion	conclusion	NOUN
ispiv-158	170	3	a	a	DET
ispiv-158	170	4	novel	novel	ADJ
ispiv-158	170	5	approach	approach	NOUN
ispiv-158	170	6	has	have	AUX
ispiv-158	170	7	been	be	AUX
ispiv-158	170	8	presented	present	VERB
ispiv-158	170	9	for	for	ADP
ispiv-158	170	10	reconstructing	reconstruct	VERB
ispiv-158	170	11	velocity	velocity	NOUN
ispiv-158	170	12	fields	field	NOUN
ispiv-158	170	13	on	on	ADP
ispiv-158	170	14	a	a	DET
ispiv-158	170	15	regular	regular	ADJ
ispiv-158	170	16	grid	grid	NOUN
ispiv-158	170	17	from	from	ADP
ispiv-158	170	18	ptv	ptv	PROPN
ispiv-158	170	19	measurement	measurement	NOUN
ispiv-158	170	20	,	,	PUNCT
ispiv-158	170	21	based	base	VERB
ispiv-158	170	22	on	on	ADP
ispiv-158	170	23	the	the	DET
ispiv-158	170	24	eulerian	eulerian	ADJ
ispiv-158	170	25	time	time	NOUN
ispiv-158	170	26	-	-	PUNCT
ispiv-158	170	27	marching	march	VERB
ispiv-158	170	28	vorticity	vorticity	NOUN
ispiv-158	170	29	field	field	NOUN
ispiv-158	170	30	,	,	PUNCT
ispiv-158	170	31	which	which	PRON
ispiv-158	170	32	significantly	significantly	ADV
ispiv-158	170	33	reduces	reduce	VERB
ispiv-158	170	34	the	the	DET
ispiv-158	170	35	number	number	NOUN
ispiv-158	170	36	of	of	ADP
ispiv-158	170	37	unknowns	unknown	NOUN
ispiv-158	170	38	to	to	PART
ispiv-158	170	39	be	be	AUX
ispiv-158	170	40	optimized	optimize	VERB
ispiv-158	170	41	.	.	PUNCT
ispiv-158	171	1	the	the	DET
ispiv-158	171	2	timeresolved	timeresolve	VERB
ispiv-158	171	3	boundary	boundary	ADJ
ispiv-158	171	4	conditions	condition	NOUN
ispiv-158	171	5	for	for	ADP
ispiv-158	171	6	velocity	velocity	NOUN
ispiv-158	171	7	and	and	CCONJ
ispiv-158	171	8	acceleration	acceleration	NOUN
ispiv-158	171	9	allow	allow	VERB
ispiv-158	171	10	the	the	DET
ispiv-158	171	11	simulated	simulate	VERB
ispiv-158	171	12	vorticity	vorticity	NOUN
ispiv-158	171	13	field	field	NOUN
ispiv-158	171	14	to	to	PART
ispiv-158	171	15	yield	yield	VERB
ispiv-158	171	16	other	other	ADJ
ispiv-158	171	17	flow	flow	NOUN
ispiv-158	171	18	variables	variable	NOUN
ispiv-158	171	19	(	(	PUNCT
ispiv-158	171	20	velocity	velocity	NOUN
ispiv-158	171	21	,	,	PUNCT
ispiv-158	171	22	acceleration	acceleration	NOUN
ispiv-158	171	23	,	,	PUNCT
ispiv-158	171	24	vorticity	vorticity	NOUN
ispiv-158	171	25	time	time	NOUN
ispiv-158	171	26	derivative	derivative	ADJ
ispiv-158	171	27	,	,	PUNCT
ispiv-158	171	28	and	and	CCONJ
ispiv-158	171	29	pressure	pressure	NOUN
ispiv-158	171	30	)	)	PUNCT
ispiv-158	171	31	by	by	ADP
ispiv-158	171	32	the	the	DET
ispiv-158	171	33	vortex	vortex	NOUN
ispiv-158	171	34	method	method	NOUN
ispiv-158	171	35	.	.	PUNCT
ispiv-158	172	1	both	both	CCONJ
ispiv-158	172	2	the	the	DET
ispiv-158	172	3	forward	forward	PROPN
ispiv-158	172	4	euler	euler	NOUN
ispiv-158	172	5	method	method	NOUN
ispiv-158	172	6	and	and	CCONJ
ispiv-158	172	7	the	the	DET
ispiv-158	172	8	runge	runge	NOUN
ispiv-158	172	9	-	-	PUNCT
ispiv-158	172	10	kutta	kutta	NOUN
ispiv-158	172	11	method	method	NOUN
ispiv-158	172	12	are	be	AUX
ispiv-158	172	13	implemented	implement	VERB
ispiv-158	172	14	as	as	ADP
ispiv-158	172	15	the	the	DET
ispiv-158	172	16	time	time	NOUN
ispiv-158	172	17	-	-	PUNCT
ispiv-158	172	18	marching	marching	NOUN
ispiv-158	172	19	scheme	scheme	NOUN
ispiv-158	172	20	.	.	PUNCT
ispiv-158	173	1	the	the	DET
ispiv-158	173	2	adjoint	adjoint	NOUN
ispiv-158	173	3	procedure	procedure	NOUN
ispiv-158	173	4	for	for	ADP
ispiv-158	173	5	transforming	transform	VERB
ispiv-158	173	6	the	the	DET
ispiv-158	173	7	adjoints	adjoint	NOUN
ispiv-158	173	8	from	from	ADP
ispiv-158	173	9	the	the	DET
ispiv-158	173	10	simulated	simulate	VERB
ispiv-158	173	11	instances	instance	NOUN
ispiv-158	173	12	to	to	ADP
ispiv-158	173	13	the	the	DET
ispiv-158	173	14	source	source	NOUN
ispiv-158	173	15	instance	instance	NOUN
ispiv-158	173	16	is	be	AUX
ispiv-158	173	17	proposed	propose	VERB
ispiv-158	173	18	.	.	PUNCT
ispiv-158	174	1	the	the	DET
ispiv-158	174	2	numerical	numerical	ADJ
ispiv-158	174	3	analysis	analysis	NOUN
ispiv-158	174	4	reports	report	NOUN
ispiv-158	174	5	on	on	ADP
ispiv-158	174	6	the	the	DET
ispiv-158	174	7	computational	computational	ADJ
ispiv-158	174	8	complexity	complexity	NOUN
ispiv-158	174	9	with	with	ADP
ispiv-158	174	10	linear	linear	ADJ
ispiv-158	174	11	behaviors	behavior	NOUN
ispiv-158	174	12	,	,	PUNCT
ispiv-158	174	13	and	and	CCONJ
ispiv-158	174	14	thus	thus	ADV
ispiv-158	174	15	,	,	PUNCT
ispiv-158	174	16	it	it	PRON
ispiv-158	174	17	can	can	AUX
ispiv-158	174	18	be	be	AUX
ispiv-158	174	19	said	say	VERB
ispiv-158	174	20	that	that	SCONJ
ispiv-158	174	21	the	the	DET
ispiv-158	174	22	optimization	optimization	NOUN
ispiv-158	174	23	problem	problem	NOUN
ispiv-158	174	24	is	be	AUX
ispiv-158	174	25	well	well	ADV
ispiv-158	174	26	-	-	PUNCT
ispiv-158	174	27	developed	develop	VERB
ispiv-158	174	28	and	and	CCONJ
ispiv-158	174	29	solved	solve	VERB
ispiv-158	174	30	.	.	PUNCT
ispiv-158	175	1	significant	significant	ADJ
ispiv-158	175	2	improvement	improvement	NOUN
ispiv-158	175	3	by	by	ADP
ispiv-158	175	4	the	the	DET
ispiv-158	175	5	proposed	propose	VERB
ispiv-158	175	6	approach	approach	NOUN
ispiv-158	175	7	is	be	AUX
ispiv-158	175	8	observed	observe	VERB
ispiv-158	175	9	in	in	ADP
ispiv-158	175	10	both	both	CCONJ
ispiv-158	175	11	numerical	numerical	ADJ
ispiv-158	175	12	and	and	CCONJ
ispiv-158	175	13	experimental	experimental	ADJ
ispiv-158	175	14	assessments	assessment	NOUN
ispiv-158	175	15	.	.	PUNCT
ispiv-158	176	1	the	the	DET
ispiv-158	176	2	experimental	experimental	ADJ
ispiv-158	176	3	assessment	assessment	NOUN
ispiv-158	176	4	shows	show	VERB
ispiv-158	176	5	that	that	SCONJ
ispiv-158	176	6	the	the	DET
ispiv-158	176	7	proposed	propose	VERB
ispiv-158	176	8	approach	approach	NOUN
ispiv-158	176	9	works	work	VERB
ispiv-158	176	10	as	as	SCONJ
ispiv-158	176	11	expected	expect	VERB
ispiv-158	176	12	so	so	SCONJ
ispiv-158	176	13	that	that	SCONJ
ispiv-158	176	14	vortical	vortical	ADJ
ispiv-158	176	15	structures	structure	NOUN
ispiv-158	176	16	can	can	AUX
ispiv-158	176	17	be	be	AUX
ispiv-158	176	18	detailed	detail	VERB
ispiv-158	176	19	further	far	ADV
ispiv-158	176	20	.	.	PUNCT
ispiv-158	177	1	therefore	therefore	ADV
ispiv-158	177	2	,	,	PUNCT
ispiv-158	177	3	one	one	PRON
ispiv-158	177	4	can	can	AUX
ispiv-158	177	5	conclude	conclude	VERB
ispiv-158	177	6	that	that	SCONJ
ispiv-158	177	7	the	the	DET
ispiv-158	177	8	expected	expect	VERB
ispiv-158	177	9	dynamic	dynamic	ADJ
ispiv-158	177	10	range	range	NOUN
ispiv-158	177	11	improvement	improvement	NOUN
ispiv-158	177	12	from	from	ADP
ispiv-158	177	13	the	the	DET
ispiv-158	177	14	reduced	reduce	VERB
ispiv-158	177	15	number	number	NOUN
ispiv-158	177	16	of	of	ADP
ispiv-158	177	17	unknowns	unknown	NOUN
ispiv-158	177	18	is	be	AUX
ispiv-158	177	19	accomplished	accomplish	VERB
ispiv-158	177	20	.	.	PUNCT
ispiv-158	178	1	the	the	DET
ispiv-158	178	2	investigation	investigation	NOUN
ispiv-158	178	3	on	on	ADP
ispiv-158	178	4	the	the	DET
ispiv-158	178	5	optimal	optimal	ADJ
ispiv-158	178	6	time	time	NOUN
ispiv-158	178	7	-	-	PUNCT
ispiv-158	178	8	marching	march	VERB
ispiv-158	178	9	parameters	parameter	NOUN
ispiv-158	178	10	such	such	ADJ
ispiv-158	178	11	as	as	ADP
ispiv-158	178	12	the	the	DET
ispiv-158	178	13	marching	marching	NOUN
ispiv-158	178	14	frequency	frequency	NOUN
ispiv-158	178	15	(	(	PUNCT
ispiv-158	178	16	m	m	NOUN
ispiv-158	178	17	)	)	PUNCT
ispiv-158	178	18	and	and	CCONJ
ispiv-158	178	19	the	the	DET
ispiv-158	178	20	(	(	PUNCT
ispiv-158	178	21	a	a	NOUN
ispiv-158	178	22	)	)	PUNCT
ispiv-158	178	23	(	(	PUNCT
ispiv-158	178	24	b	b	X
ispiv-158	178	25	)	)	PUNCT
ispiv-158	178	26	(	(	PUNCT
ispiv-158	178	27	c	c	NOUN
ispiv-158	178	28	)	)	PUNCT
ispiv-158	178	29	14th	14th	ADJ
ispiv-158	178	30	international	international	ADJ
ispiv-158	178	31	symposium	symposium	NOUN
ispiv-158	178	32	on	on	ADP
ispiv-158	178	33	particle	particle	NOUN
ispiv-158	178	34	image	image	NOUN
ispiv-158	178	35	velocimetry	velocimetry	NOUN
ispiv-158	178	36	–	–	PUNCT
ispiv-158	178	37	ispiv2021	ispiv2021	PROPN
ispiv-158	178	38	august	august	PROPN
ispiv-158	178	39	1–5	1–5	NUM
ispiv-158	178	40	,	,	PUNCT
ispiv-158	178	41	2021	2021	NUM
ispiv-158	178	42	10	10	NUM
ispiv-158	178	43	number	number	NOUN
ispiv-158	178	44	of	of	ADP
ispiv-158	178	45	reconstructing	reconstruct	VERB
ispiv-158	178	46	instances	instance	NOUN
ispiv-158	178	47	(	(	PUNCT
ispiv-158	178	48	l	l	NOUN
ispiv-158	178	49	)	)	PUNCT
ispiv-158	178	50	may	may	AUX
ispiv-158	178	51	remain	remain	VERB
ispiv-158	178	52	to	to	PART
ispiv-158	178	53	be	be	AUX
ispiv-158	178	54	conducted	conduct	VERB
ispiv-158	178	55	by	by	ADP
ispiv-158	178	56	further	further	ADJ
ispiv-158	178	57	studies	study	NOUN
ispiv-158	178	58	.	.	PUNCT
ispiv-158	179	1	in	in	ADP
ispiv-158	179	2	addition	addition	NOUN
ispiv-158	179	3	,	,	PUNCT
ispiv-158	179	4	a	a	DET
ispiv-158	179	5	superposition	superposition	NOUN
ispiv-158	179	6	method	method	NOUN
ispiv-158	179	7	should	should	AUX
ispiv-158	179	8	be	be	AUX
ispiv-158	179	9	introduced	introduce	VERB
ispiv-158	179	10	to	to	PART
ispiv-158	179	11	obtain	obtain	VERB
ispiv-158	179	12	a	a	DET
ispiv-158	179	13	complete	complete	ADJ
ispiv-158	179	14	time	time	NOUN
ispiv-158	179	15	-	-	PUNCT
ispiv-158	179	16	resolved	resolve	VERB
ispiv-158	179	17	result	result	NOUN
ispiv-158	179	18	set	set	VERB
ispiv-158	179	19	from	from	ADP
ispiv-158	179	20	multiple	multiple	ADJ
ispiv-158	179	21	4d	4d	NUM
ispiv-158	179	22	results	result	NOUN
ispiv-158	179	23	because	because	SCONJ
ispiv-158	179	24	it	it	PRON
ispiv-158	179	25	would	would	AUX
ispiv-158	179	26	significantly	significantly	ADV
ispiv-158	179	27	reduce	reduce	VERB
ispiv-158	179	28	computation	computation	NOUN
ispiv-158	179	29	time	time	NOUN
ispiv-158	179	30	and	and	CCONJ
ispiv-158	179	31	efforts	effort	NOUN
ispiv-158	179	32	on	on	ADP
ispiv-158	179	33	large	large	ADJ
ispiv-158	179	34	time	time	NOUN
ispiv-158	179	35	-	-	PUNCT
ispiv-158	179	36	resolved	resolve	VERB
ispiv-158	179	37	data	data	NOUN
ispiv-158	179	38	sets	set	NOUN
ispiv-158	179	39	.	.	PUNCT
ispiv-158	180	1	acknowledgments	acknowledgment	NOUN
ispiv-158	180	2	this	this	DET
ispiv-158	180	3	work	work	NOUN
ispiv-158	180	4	has	have	AUX
ispiv-158	180	5	participated	participate	VERB
ispiv-158	180	6	in	in	ADP
ispiv-158	180	7	the	the	DET
ispiv-158	180	8	first	first	ADJ
ispiv-158	180	9	data	data	NOUN
ispiv-158	180	10	assimilation	assimilation	NOUN
ispiv-158	180	11	(	(	PUNCT
ispiv-158	180	12	da	da	NOUN
ispiv-158	180	13	)	)	PUNCT
ispiv-158	180	14	challenge	challenge	NOUN
ispiv-158	180	15	,	,	PUNCT
ispiv-158	180	16	conducted	conduct	VERB
ispiv-158	180	17	within	within	ADP
ispiv-158	180	18	the	the	DET
ispiv-158	180	19	european	european	PROPN
ispiv-158	180	20	union	union	PROPN
ispiv-158	180	21	’s	’s	PART
ispiv-158	180	22	horizon	horizon	NOUN
ispiv-158	180	23	2020	2020	NUM
ispiv-158	180	24	project	project	NOUN
ispiv-158	180	25	homer	homer	NOUN
ispiv-158	180	26	(	(	PUNCT
ispiv-158	180	27	holistic	holistic	ADJ
ispiv-158	180	28	optical	optical	ADJ
ispiv-158	180	29	metrology	metrology	NOUN
ispiv-158	180	30	for	for	ADP
ispiv-158	180	31	aero	aero	ADJ
ispiv-158	180	32	-	-	ADJ
ispiv-158	180	33	elastic	elastic	ADJ
ispiv-158	180	34	research	research	NOUN
ispiv-158	180	35	)	)	PUNCT
ispiv-158	180	36	.	.	PUNCT
ispiv-158	181	1	the	the	DET
ispiv-158	181	2	author	author	NOUN
ispiv-158	181	3	would	would	AUX
ispiv-158	181	4	like	like	VERB
ispiv-158	181	5	to	to	PART
ispiv-158	181	6	thank	thank	VERB
ispiv-158	181	7	the	the	DET
ispiv-158	181	8	research	research	NOUN
ispiv-158	181	9	groups	group	NOUN
ispiv-158	181	10	(	(	PUNCT
ispiv-158	181	11	onera	onera	PROPN
ispiv-158	181	12	,	,	PUNCT
ispiv-158	181	13	tu	tu	PROPN
ispiv-158	181	14	-	-	PUNCT
ispiv-158	181	15	delft	delft	NOUN
ispiv-158	181	16	,	,	PUNCT
ispiv-158	181	17	and	and	CCONJ
ispiv-158	181	18	dlr	dlr	NOUN
ispiv-158	181	19	göttingen	göttingen	NOUN
ispiv-158	181	20	)	)	PUNCT
ispiv-158	181	21	for	for	ADP
ispiv-158	181	22	sharing	share	VERB
ispiv-158	181	23	the	the	DET
ispiv-158	181	24	data	datum	NOUN
ispiv-158	181	25	.	.	PUNCT
ispiv-158	182	1	references	reference	NOUN
ispiv-158	182	2	agüí	agüí	PROPN
ispiv-158	182	3	j	j	PROPN
ispiv-158	182	4	and	and	CCONJ
ispiv-158	182	5	jimenez	jimenez	PROPN
ispiv-158	182	6	j	j	PROPN
ispiv-158	182	7	(	(	PUNCT
ispiv-158	182	8	1987	1987	NUM
ispiv-158	182	9	)	)	PUNCT
ispiv-158	182	10	on	on	ADP
ispiv-158	182	11	the	the	DET
ispiv-158	182	12	performance	performance	NOUN
ispiv-158	182	13	of	of	ADP
ispiv-158	182	14	particle	particle	NOUN
ispiv-158	182	15	tracking	tracking	NOUN
ispiv-158	182	16	velocimetry	velocimetry	NOUN
ispiv-158	182	17	.	.	PUNCT
ispiv-158	183	1	journal	journal	NOUN
ispiv-158	183	2	of	of	ADP
ispiv-158	183	3	fluid	fluid	ADJ
ispiv-158	183	4	mechanics	mechanic	NOUN
ispiv-158	183	5	185:447	185:447	NOUN
ispiv-158	183	6	-	-	PUNCT
ispiv-158	183	7	468	468	NUM
ispiv-158	183	8	azijli	azijli	NOUN
ispiv-158	184	1	i	i	PRON
ispiv-158	184	2	and	and	CCONJ
ispiv-158	184	3	dwight	dwight	PROPN
ispiv-158	184	4	rp	rp	PROPN
ispiv-158	184	5	(	(	PUNCT
ispiv-158	184	6	2015	2015	NUM
ispiv-158	184	7	)	)	PUNCT
ispiv-158	184	8	solenoidal	solenoidal	ADJ
ispiv-158	184	9	filtering	filtering	NOUN
ispiv-158	184	10	of	of	ADP
ispiv-158	184	11	volumetric	volumetric	ADJ
ispiv-158	184	12	velocity	velocity	NOUN
ispiv-158	184	13	measurements	measurement	NOUN
ispiv-158	184	14	using	use	VERB
ispiv-158	184	15	gaussian	gaussian	ADJ
ispiv-158	184	16	process	process	NOUN
ispiv-158	184	17	regression	regression	NOUN
ispiv-158	184	18	.	.	PUNCT
ispiv-158	185	1	experiments	experiment	NOUN
ispiv-158	185	2	in	in	ADP
ispiv-158	185	3	fluids	fluid	NOUN
ispiv-158	185	4	56(11	56(11	NUM
ispiv-158	185	5	)	)	PUNCT
ispiv-158	185	6	,	,	PUNCT
ispiv-158	185	7	1	1	NUM
ispiv-158	185	8	-	-	SYM
ispiv-158	185	9	18	18	NUM
ispiv-158	185	10	christiansen	christiansen	NOUN
ispiv-158	185	11	ip	ip	NOUN
ispiv-158	185	12	(	(	PUNCT
ispiv-158	185	13	1973	1973	NUM
ispiv-158	185	14	)	)	PUNCT
ispiv-158	185	15	numerical	numerical	PROPN
ispiv-158	185	16	simulation	simulation	NOUN
ispiv-158	185	17	of	of	ADP
ispiv-158	185	18	hydrodynamics	hydrodynamic	NOUN
ispiv-158	185	19	by	by	ADP
ispiv-158	185	20	the	the	DET
ispiv-158	185	21	method	method	NOUN
ispiv-158	185	22	of	of	ADP
ispiv-158	185	23	point	point	NOUN
ispiv-158	185	24	vortices	vortex	NOUN
ispiv-158	185	25	.	.	PUNCT
ispiv-158	186	1	journal	journal	NOUN
ispiv-158	186	2	of	of	ADP
ispiv-158	186	3	computational	computational	ADJ
ispiv-158	186	4	physics	physics	NOUN
ispiv-158	186	5	13(3	13(3	NUM
ispiv-158	186	6	)	)	PUNCT
ispiv-158	186	7	,	,	PUNCT
ispiv-158	186	8	363	363	NUM
ispiv-158	186	9	-	-	SYM
ispiv-158	186	10	379	379	NUM
ispiv-158	186	11	ehlers	ehler	NOUN
ispiv-158	186	12	f	f	PROPN
ispiv-158	186	13	,	,	PUNCT
ispiv-158	186	14	schröder	schröder	NOUN
ispiv-158	186	15	a	a	PROPN
ispiv-158	186	16	and	and	CCONJ
ispiv-158	186	17	gesemann	gesemann	PROPN
ispiv-158	186	18	s	s	X
ispiv-158	186	19	(	(	PUNCT
ispiv-158	186	20	2020	2020	NUM
ispiv-158	186	21	)	)	PUNCT
ispiv-158	186	22	enforcing	enforce	VERB
ispiv-158	186	23	temporal	temporal	ADJ
ispiv-158	186	24	consistency	consistency	NOUN
ispiv-158	186	25	in	in	ADP
ispiv-158	186	26	physically	physically	ADV
ispiv-158	186	27	constrained	constrain	VERB
ispiv-158	186	28	flow	flow	NOUN
ispiv-158	186	29	field	field	NOUN
ispiv-158	186	30	reconstruction	reconstruction	NOUN
ispiv-158	186	31	with	with	ADP
ispiv-158	186	32	flowfit	flowfit	NOUN
ispiv-158	186	33	by	by	ADP
ispiv-158	186	34	use	use	NOUN
ispiv-158	186	35	of	of	ADP
ispiv-158	186	36	virtual	virtual	ADJ
ispiv-158	186	37	tracer	tracer	NOUN
ispiv-158	186	38	particles	particle	NOUN
ispiv-158	186	39	.	.	PUNCT
ispiv-158	187	1	measurement	measurement	NOUN
ispiv-158	187	2	science	science	NOUN
ispiv-158	187	3	and	and	CCONJ
ispiv-158	187	4	technology	technology	NOUN
ispiv-158	187	5	,	,	PUNCT
ispiv-158	187	6	31(9	31(9	NUM
ispiv-158	187	7	)	)	PUNCT
ispiv-158	187	8	,	,	PUNCT
ispiv-158	187	9	p.094013	p.094013	X
ispiv-158	187	10	elsinga	elsinga	ADJ
ispiv-158	187	11	ge	ge	PROPN
ispiv-158	187	12	,	,	PUNCT
ispiv-158	187	13	scarano	scarano	PROPN
ispiv-158	187	14	f	f	X
ispiv-158	187	15	,	,	PUNCT
ispiv-158	187	16	wieneke	wieneke	PROPN
ispiv-158	187	17	b	b	PROPN
ispiv-158	187	18	and	and	CCONJ
ispiv-158	187	19	van	van	PROPN
ispiv-158	187	20	oudheusden	oudheusden	ADJ
ispiv-158	187	21	bw	bw	PROPN
ispiv-158	187	22	(	(	PUNCT
ispiv-158	187	23	2006	2006	NUM
ispiv-158	187	24	)	)	PUNCT
ispiv-158	187	25	tomographic	tomographic	ADJ
ispiv-158	187	26	particle	particle	NOUN
ispiv-158	187	27	image	image	NOUN
ispiv-158	187	28	velocimetry	velocimetry	NOUN
ispiv-158	187	29	.	.	PUNCT
ispiv-158	188	1	experiments	experiment	NOUN
ispiv-158	188	2	in	in	ADP
ispiv-158	188	3	fluids	fluid	NOUN
ispiv-158	188	4	41(6	41(6	PROPN
ispiv-158	188	5	)	)	PUNCT
ispiv-158	188	6	,	,	PUNCT
ispiv-158	188	7	933	933	NUM
ispiv-158	188	8	-	-	SYM
ispiv-158	188	9	947	947	NUM
ispiv-158	188	10	.	.	PUNCT
ispiv-158	189	1	gesemann	gesemann	PROPN
ispiv-158	189	2	s	s	PROPN
ispiv-158	189	3	,	,	PUNCT
ispiv-158	189	4	huhn	huhn	PROPN
ispiv-158	189	5	f	f	PROPN
ispiv-158	189	6	,	,	PUNCT
ispiv-158	189	7	schanz	schanz	PROPN
ispiv-158	189	8	d	d	NOUN
ispiv-158	189	9	and	and	CCONJ
ispiv-158	189	10	schröder	schröder	NOUN
ispiv-158	189	11	a	a	DET
ispiv-158	189	12	(	(	PUNCT
ispiv-158	189	13	2016	2016	NUM
ispiv-158	189	14	)	)	PUNCT
ispiv-158	189	15	from	from	ADP
ispiv-158	189	16	noisy	noisy	ADJ
ispiv-158	189	17	particle	particle	NOUN
ispiv-158	189	18	tracks	track	NOUN
ispiv-158	189	19	to	to	ADP
ispiv-158	189	20	velocity	velocity	NOUN
ispiv-158	189	21	,	,	PUNCT
ispiv-158	189	22	acceleration	acceleration	NOUN
ispiv-158	189	23	and	and	CCONJ
ispiv-158	189	24	pressure	pressure	NOUN
ispiv-158	189	25	fields	field	NOUN
ispiv-158	189	26	using	use	VERB
ispiv-158	189	27	b	b	NOUN
ispiv-158	189	28	-	-	PUNCT
ispiv-158	189	29	splines	spline	NOUN
ispiv-158	189	30	and	and	CCONJ
ispiv-158	189	31	penalties	penalty	NOUN
ispiv-158	189	32	.	.	PUNCT
ispiv-158	190	1	in	in	ADP
ispiv-158	190	2	proceedings	proceeding	NOUN
ispiv-158	190	3	18th	18th	ADJ
ispiv-158	190	4	international	international	ADJ
ispiv-158	190	5	symposium	symposium	NOUN
ispiv-158	190	6	on	on	ADP
ispiv-158	190	7	applications	application	NOUN
ispiv-158	190	8	of	of	ADP
ispiv-158	190	9	laser	laser	NOUN
ispiv-158	190	10	and	and	CCONJ
ispiv-158	190	11	imaging	imaging	NOUN
ispiv-158	190	12	techniques	technique	NOUN
ispiv-158	190	13	to	to	ADP
ispiv-158	190	14	fluid	fluid	ADJ
ispiv-158	190	15	mechanics	mechanic	NOUN
ispiv-158	190	16	gonzález	gonzález	PROPN
ispiv-158	190	17	g	g	PROPN
ispiv-158	190	18	,	,	PUNCT
ispiv-158	190	19	sciacchitano	sciacchitano	VERB
ispiv-158	190	20	a	a	PRON
ispiv-158	190	21	and	and	CCONJ
ispiv-158	190	22	scarano	scarano	ADJ
ispiv-158	190	23	f	f	PROPN
ispiv-158	190	24	(	(	PUNCT
ispiv-158	190	25	2019	2019	NUM
ispiv-158	190	26	)	)	PUNCT
ispiv-158	190	27	.	.	PUNCT
ispiv-158	191	1	dense	dense	ADJ
ispiv-158	191	2	volumetric	volumetric	NOUN
ispiv-158	191	3	velocity	velocity	NOUN
ispiv-158	191	4	field	field	NOUN
ispiv-158	191	5	reconstruction	reconstruction	NOUN
ispiv-158	191	6	with	with	ADP
ispiv-158	191	7	time	time	NOUN
ispiv-158	191	8	-	-	PUNCT
ispiv-158	191	9	segment	segment	NOUN
ispiv-158	191	10	assimilation	assimilation	NOUN
ispiv-158	191	11	.	.	PUNCT
ispiv-158	192	1	in	in	ADP
ispiv-158	192	2	proceedings	proceeding	NOUN
ispiv-158	192	3	13th	13th	NOUN
ispiv-158	192	4	international	international	ADJ
ispiv-158	192	5	symposium	symposium	NOUN
ispiv-158	192	6	on	on	ADP
ispiv-158	192	7	particle	particle	NOUN
ispiv-158	192	8	image	image	NOUN
ispiv-158	192	9	velocimetry	velocimetry	NOUN
ispiv-158	192	10	–	–	PUNCT
ispiv-158	192	11	ispiv	ispiv	NOUN
ispiv-158	192	12	2019	2019	NUM
ispiv-158	192	13	gronskis	gronski	NOUN
ispiv-158	192	14	a	a	PRON
ispiv-158	192	15	,	,	PUNCT
ispiv-158	192	16	heitz	heitz	PROPN
ispiv-158	192	17	d	d	NOUN
ispiv-158	192	18	and	and	CCONJ
ispiv-158	192	19	mémin	mémin	PROPN
ispiv-158	192	20	e	e	X
ispiv-158	192	21	(	(	PUNCT
ispiv-158	192	22	2013	2013	NUM
ispiv-158	192	23	)	)	PUNCT
ispiv-158	192	24	inflow	inflow	NOUN
ispiv-158	192	25	and	and	CCONJ
ispiv-158	192	26	initial	initial	ADJ
ispiv-158	192	27	conditions	condition	NOUN
ispiv-158	192	28	for	for	ADP
ispiv-158	192	29	direct	direct	ADJ
ispiv-158	192	30	numerical	numerical	PROPN
ispiv-158	192	31	simulation	simulation	NOUN
ispiv-158	192	32	based	base	VERB
ispiv-158	192	33	on	on	ADP
ispiv-158	192	34	adjoint	adjoint	PROPN
ispiv-158	192	35	data	datum	NOUN
ispiv-158	192	36	assimilation	assimilation	NOUN
ispiv-158	192	37	.	.	PUNCT
ispiv-158	193	1	journal	journal	NOUN
ispiv-158	193	2	of	of	ADP
ispiv-158	193	3	computational	computational	ADJ
ispiv-158	193	4	physics	physic	NOUN
ispiv-158	193	5	242	242	NUM
ispiv-158	193	6	,	,	PUNCT
ispiv-158	193	7	480–497	480–497	NUM
ispiv-158	193	8	jeon	jeon	PROPN
ispiv-158	193	9	yj	yj	PROPN
ispiv-158	193	10	,	,	PUNCT
ispiv-158	193	11	schneiders	schneiders	PROPN
ispiv-158	193	12	jfg	jfg	PROPN
ispiv-158	193	13	,	,	PUNCT
ispiv-158	193	14	müller	müller	PROPN
ispiv-158	193	15	m	m	PROPN
ispiv-158	193	16	,	,	PUNCT
ispiv-158	193	17	michaelis	michaelis	PROPN
ispiv-158	193	18	d	d	NOUN
ispiv-158	193	19	and	and	CCONJ
ispiv-158	193	20	wieneke	wieneke	PROPN
ispiv-158	193	21	b	b	PROPN
ispiv-158	193	22	(	(	PUNCT
ispiv-158	193	23	2018	2018	NUM
ispiv-158	193	24	)	)	PUNCT
ispiv-158	193	25	4d	4d	NUM
ispiv-158	193	26	flow	flow	NOUN
ispiv-158	193	27	field	field	NOUN
ispiv-158	193	28	reconstruction	reconstruction	NOUN
ispiv-158	193	29	from	from	ADP
ispiv-158	193	30	particle	particle	NOUN
ispiv-158	193	31	tracks	track	NOUN
ispiv-158	193	32	by	by	ADP
ispiv-158	193	33	vic+	vic+	NOUN
ispiv-158	193	34	with	with	ADP
ispiv-158	193	35	additional	additional	ADJ
ispiv-158	193	36	constraints	constraint	NOUN
ispiv-158	193	37	and	and	CCONJ
ispiv-158	193	38	multigrid	multigrid	NOUN
ispiv-158	193	39	approximation	approximation	NOUN
ispiv-158	193	40	.	.	PUNCT
ispiv-158	194	1	in	in	ADP
ispiv-158	194	2	proceedings	proceeding	NOUN
ispiv-158	194	3	18th	18th	ADJ
ispiv-158	194	4	international	international	ADJ
ispiv-158	194	5	symposium	symposium	NOUN
ispiv-158	194	6	on	on	ADP
ispiv-158	194	7	flow	flow	NOUN
ispiv-158	194	8	visualization	visualization	NOUN
ispiv-158	194	9	–	–	PUNCT
ispiv-158	194	10	isfv	isfv	ADJ
ispiv-158	194	11	2018	2018	NUM
ispiv-158	194	12	leclaire	leclaire	NOUN
ispiv-158	194	13	b	b	PROPN
ispiv-158	194	14	,	,	PUNCT
ispiv-158	194	15	mary	mary	PROPN
ispiv-158	194	16	u	u	PROPN
ispiv-158	194	17	,	,	PUNCT
ispiv-158	194	18	liazun	liazun	PROPN
ispiv-158	194	19	c	c	PROPN
ispiv-158	194	20	et	et	PROPN
ispiv-158	194	21	al	al	PROPN
ispiv-158	194	22	.	.	PROPN
ispiv-158	195	1	(	(	PUNCT
ispiv-158	195	2	2021	2021	NUM
ispiv-158	195	3	)	)	PUNCT
ispiv-158	195	4	first	first	ADJ
ispiv-158	195	5	lagrangian	lagrangian	ADJ
ispiv-158	195	6	particle	particle	NOUN
ispiv-158	195	7	tracking	tracking	NOUN
ispiv-158	195	8	and	and	CCONJ
ispiv-158	195	9	data	datum	NOUN
ispiv-158	195	10	assimilation	assimilation	NOUN
ispiv-158	195	11	challenge	challenge	NOUN
ispiv-158	195	12	:	:	PUNCT
ispiv-158	195	13	datasets	dataset	VERB
ispiv-158	195	14	description	description	NOUN
ispiv-158	195	15	and	and	CCONJ
ispiv-158	195	16	evolution	evolution	NOUN
ispiv-158	195	17	to	to	ADP
ispiv-158	195	18	an	an	DET
ispiv-158	195	19	open	open	ADJ
ispiv-158	195	20	online	online	ADJ
ispiv-158	195	21	benchmark	benchmark	NOUN
ispiv-158	195	22	.	.	PUNCT
ispiv-158	196	1	in	in	ADP
ispiv-158	196	2	14th	14th	ADJ
ispiv-158	196	3	international	international	ADJ
ispiv-158	196	4	symposium	symposium	NOUN
ispiv-158	196	5	on	on	ADP
ispiv-158	196	6	particle	particle	NOUN
ispiv-158	196	7	image	image	NOUN
ispiv-158	196	8	velocimetry	velocimetry	NOUN
ispiv-158	196	9	–	–	PUNCT
ispiv-158	196	10	ispiv	ispiv	NOUN
ispiv-158	196	11	2021	2021	NUM
ispiv-158	196	12	liu	liu	PROPN
ispiv-158	196	13	dc	dc	PROPN
ispiv-158	196	14	and	and	CCONJ
ispiv-158	196	15	nocedal	nocedal	ADJ
ispiv-158	196	16	j	j	PROPN
ispiv-158	196	17	(	(	PUNCT
ispiv-158	196	18	1989	1989	NUM
ispiv-158	196	19	)	)	PUNCT
ispiv-158	196	20	on	on	ADP
ispiv-158	196	21	the	the	DET
ispiv-158	196	22	limited	limited	ADJ
ispiv-158	196	23	memory	memory	NOUN
ispiv-158	196	24	method	method	NOUN
ispiv-158	196	25	for	for	ADP
ispiv-158	196	26	large	large	ADJ
ispiv-158	196	27	scale	scale	NOUN
ispiv-158	196	28	optimization	optimization	NOUN
ispiv-158	196	29	.	.	PUNCT
ispiv-158	197	1	math	math	NOUN
ispiv-158	197	2	program	program	PROPN
ispiv-158	197	3	b	b	PROPN
ispiv-158	197	4	45	45	NUM
ispiv-158	197	5	,	,	PUNCT
ispiv-158	197	6	503–528	503–528	NUM
ispiv-158	197	7	malik	malik	PROPN
ispiv-158	197	8	na	na	PROPN
ispiv-158	197	9	,	,	PUNCT
ispiv-158	197	10	dracos	dracos	PROPN
ispiv-158	197	11	t	t	PROPN
ispiv-158	197	12	and	and	CCONJ
ispiv-158	197	13	papantoniou	papantoniou	PROPN
ispiv-158	197	14	da	da	X
ispiv-158	197	15	(	(	PUNCT
ispiv-158	197	16	1993	1993	NUM
ispiv-158	197	17	)	)	PUNCT
ispiv-158	197	18	particle	particle	NOUN
ispiv-158	197	19	tracking	tracking	NOUN
ispiv-158	197	20	velocimetry	velocimetry	NOUN
ispiv-158	197	21	in	in	ADP
ispiv-158	197	22	three	three	NUM
ispiv-158	197	23	-	-	PUNCT
ispiv-158	197	24	dimensional	dimensional	ADJ
ispiv-158	197	25	flows	flow	NOUN
ispiv-158	197	26	.	.	PUNCT
ispiv-158	198	1	experiments	experiment	NOUN
ispiv-158	198	2	in	in	ADP
ispiv-158	198	3	fluids	fluid	NOUN
ispiv-158	198	4	15(4	15(4	NOUN
ispiv-158	198	5	)	)	PUNCT
ispiv-158	198	6	,	,	PUNCT
ispiv-158	198	7	279	279	NUM
ispiv-158	198	8	-	-	SYM
ispiv-158	198	9	294	294	NUM
ispiv-158	198	10	schanz	schanz	NOUN
ispiv-158	198	11	d	d	NOUN
ispiv-158	198	12	,	,	PUNCT
ispiv-158	198	13	gesemann	gesemann	PROPN
ispiv-158	198	14	s	s	PART
ispiv-158	198	15	and	and	CCONJ
ispiv-158	198	16	schröder	schröder	NOUN
ispiv-158	198	17	a	a	DET
ispiv-158	198	18	(	(	PUNCT
ispiv-158	198	19	2016	2016	NUM
ispiv-158	198	20	)	)	PUNCT
ispiv-158	198	21	shake	shake	NOUN
ispiv-158	198	22	-	-	PUNCT
ispiv-158	198	23	the	the	DET
ispiv-158	198	24	-	-	PUNCT
ispiv-158	198	25	box	box	NOUN
ispiv-158	198	26	:	:	PUNCT
ispiv-158	198	27	lagrangian	lagrangian	ADJ
ispiv-158	198	28	particle	particle	NOUN
ispiv-158	198	29	tracking	tracking	NOUN
ispiv-158	198	30	at	at	ADP
ispiv-158	198	31	high	high	ADJ
ispiv-158	198	32	particle	particle	NOUN
ispiv-158	198	33	image	image	NOUN
ispiv-158	198	34	densities	density	NOUN
ispiv-158	198	35	.	.	PUNCT
ispiv-158	199	1	experiments	experiment	NOUN
ispiv-158	199	2	in	in	ADP
ispiv-158	199	3	fluids	fluid	NOUN
ispiv-158	199	4	57(5	57(5	NOUN
ispiv-158	199	5	)	)	PUNCT
ispiv-158	199	6	,	,	PUNCT
ispiv-158	199	7	1	1	NUM
ispiv-158	199	8	-	-	SYM
ispiv-158	199	9	27	27	NUM
ispiv-158	199	10	schiavazzi	schiavazzi	NOUN
ispiv-158	199	11	d	d	NOUN
ispiv-158	199	12	,	,	PUNCT
ispiv-158	199	13	coletti	coletti	NOUN
ispiv-158	199	14	f	f	NOUN
ispiv-158	199	15	,	,	PUNCT
ispiv-158	199	16	iaccarino	iaccarino	PROPN
ispiv-158	199	17	g	g	PROPN
ispiv-158	199	18	and	and	CCONJ
ispiv-158	199	19	eaton	eaton	PROPN
ispiv-158	199	20	jk	jk	PROPN
ispiv-158	199	21	(	(	PUNCT
ispiv-158	199	22	2014	2014	NUM
ispiv-158	199	23	)	)	PUNCT
ispiv-158	199	24	a	a	DET
ispiv-158	199	25	matching	matching	NOUN
ispiv-158	199	26	pursuit	pursuit	NOUN
ispiv-158	199	27	approach	approach	NOUN
ispiv-158	199	28	to	to	ADP
ispiv-158	199	29	solenoidal	solenoidal	ADJ
ispiv-158	199	30	filtering	filtering	NOUN
ispiv-158	199	31	of	of	ADP
ispiv-158	199	32	threedimensional	threedimensional	ADJ
ispiv-158	199	33	velocity	velocity	NOUN
ispiv-158	199	34	measurements	measurement	NOUN
ispiv-158	199	35	.	.	PUNCT
ispiv-158	200	1	journal	journal	NOUN
ispiv-158	200	2	of	of	ADP
ispiv-158	200	3	computational	computational	ADJ
ispiv-158	200	4	physics	physic	NOUN
ispiv-158	200	5	263	263	NUM
ispiv-158	200	6	,	,	PUNCT
ispiv-158	200	7	206	206	NUM
ispiv-158	200	8	-	-	SYM
ispiv-158	200	9	221	221	NUM
ispiv-158	200	10	schneiders	schneider	NOUN
ispiv-158	200	11	jfg	jfg	PROPN
ispiv-158	200	12	,	,	PUNCT
ispiv-158	200	13	dwight	dwight	PROPN
ispiv-158	200	14	rp	rp	NOUN
ispiv-158	200	15	and	and	CCONJ
ispiv-158	200	16	scarano	scarano	ADJ
ispiv-158	200	17	f	f	PROPN
ispiv-158	200	18	(	(	PUNCT
ispiv-158	200	19	2014	2014	NUM
ispiv-158	200	20	)	)	PUNCT
ispiv-158	200	21	time	time	NOUN
ispiv-158	200	22	-	-	PUNCT
ispiv-158	200	23	supersampling	supersampling	NOUN
ispiv-158	200	24	of	of	ADP
ispiv-158	200	25	3d	3d	NOUN
ispiv-158	200	26	-	-	PUNCT
ispiv-158	200	27	piv	piv	NOUN
ispiv-158	200	28	measurements	measurement	NOUN
ispiv-158	200	29	with	with	ADP
ispiv-158	200	30	vortex	vortex	NOUN
ispiv-158	200	31	-	-	PUNCT
ispiv-158	200	32	in	in	ADP
ispiv-158	200	33	-	-	PUNCT
ispiv-158	200	34	cell	cell	NOUN
ispiv-158	200	35	simulation	simulation	NOUN
ispiv-158	200	36	.	.	PUNCT
ispiv-158	201	1	experiments	experiment	NOUN
ispiv-158	201	2	in	in	ADP
ispiv-158	201	3	fluids	fluid	NOUN
ispiv-158	201	4	55:1692	55:1692	NUM
ispiv-158	201	5	schneiders	schneider	NOUN
ispiv-158	201	6	jfg	jfg	PROPN
ispiv-158	201	7	and	and	CCONJ
ispiv-158	201	8	scarano	scarano	PROPN
ispiv-158	201	9	f	f	PROPN
ispiv-158	201	10	(	(	PUNCT
ispiv-158	201	11	2016	2016	NUM
ispiv-158	201	12	)	)	PUNCT
ispiv-158	201	13	dense	dense	ADJ
ispiv-158	201	14	velocity	velocity	NOUN
ispiv-158	201	15	reconstruction	reconstruction	NOUN
ispiv-158	201	16	from	from	ADP
ispiv-158	201	17	tomographic	tomographic	ADJ
ispiv-158	201	18	ptv	ptv	NOUN
ispiv-158	201	19	with	with	ADP
ispiv-158	201	20	material	material	NOUN
ispiv-158	201	21	derivatives	derivative	NOUN
ispiv-158	201	22	.	.	PUNCT
ispiv-158	202	1	experiments	experiment	NOUN
ispiv-158	202	2	in	in	ADP
ispiv-158	202	3	fluids	fluid	NOUN
ispiv-158	202	4	57(9	57(9	NOUN
ispiv-158	202	5	)	)	PUNCT
ispiv-158	202	6	1	1	NUM
ispiv-158	202	7	-	-	SYM
ispiv-158	202	8	22	22	NUM
ispiv-158	202	9	sciacchitano	sciacchitano	NOUN
ispiv-158	202	10	a	a	DET
ispiv-158	202	11	,	,	PUNCT
ispiv-158	202	12	leclaire	leclaire	ADJ
ispiv-158	202	13	b	b	NOUN
ispiv-158	202	14	and	and	CCONJ
ispiv-158	202	15	schröder	schröder	NOUN
ispiv-158	202	16	a	a	DET
ispiv-158	202	17	(	(	PUNCT
ispiv-158	202	18	2021	2021	NUM
ispiv-158	202	19	)	)	PUNCT
ispiv-158	202	20	main	main	ADJ
ispiv-158	202	21	results	result	NOUN
ispiv-158	202	22	of	of	ADP
ispiv-158	202	23	the	the	DET
ispiv-158	202	24	first	first	ADJ
ispiv-158	202	25	data	data	NOUN
ispiv-158	202	26	assimilation	assimilation	NOUN
ispiv-158	202	27	challenge	challenge	NOUN
ispiv-158	202	28	.	.	PUNCT
ispiv-158	203	1	in	in	ADP
ispiv-158	203	2	14th	14th	ADJ
ispiv-158	203	3	international	international	ADJ
ispiv-158	203	4	symposium	symposium	NOUN
ispiv-158	203	5	on	on	ADP
ispiv-158	203	6	particle	particle	NOUN
ispiv-158	203	7	image	image	NOUN
ispiv-158	203	8	velocimetry	velocimetry	NOUN
ispiv-158	203	9	–	–	PUNCT
ispiv-158	203	10	ispiv	ispiv	NOUN
ispiv-158	203	11	2021	2021	NUM
ispiv-158	203	12	violato	violato	NOUN
ispiv-158	203	13	d	d	NOUN
ispiv-158	203	14	,	,	PUNCT
ispiv-158	203	15	scarano	scarano	ADJ
ispiv-158	203	16	f	f	X
ispiv-158	203	17	(	(	PUNCT
ispiv-158	203	18	2011	2011	NUM
ispiv-158	203	19	)	)	PUNCT
ispiv-158	203	20	three	three	NUM
ispiv-158	203	21	-	-	PUNCT
ispiv-158	203	22	dimensional	dimensional	ADJ
ispiv-158	203	23	evolution	evolution	NOUN
ispiv-158	203	24	of	of	ADP
ispiv-158	203	25	flow	flow	NOUN
ispiv-158	203	26	structures	structure	NOUN
ispiv-158	203	27	in	in	ADP
ispiv-158	203	28	transitional	transitional	ADJ
ispiv-158	203	29	circular	circular	ADJ
ispiv-158	203	30	and	and	CCONJ
ispiv-158	203	31	chevron	chevron	NOUN
ispiv-158	203	32	jets	jet	NOUN
ispiv-158	203	33	.	.	PUNCT
ispiv-158	204	1	phys	phy	NOUN
ispiv-158	204	2	fluids	fluid	VERB
ispiv-158	204	3	23:124104	23:124104	PRON
ispiv-158	204	4	wieneke	wieneke	PROPN
ispiv-158	204	5	b	b	PROPN
ispiv-158	204	6	(	(	PUNCT
ispiv-158	204	7	2012	2012	NUM
ispiv-158	204	8	)	)	PUNCT
ispiv-158	204	9	.	.	PUNCT
ispiv-158	205	1	iterative	iterative	NOUN
ispiv-158	205	2	reconstruction	reconstruction	NOUN
ispiv-158	205	3	of	of	ADP
ispiv-158	205	4	volumetric	volumetric	ADJ
ispiv-158	205	5	particle	particle	NOUN
ispiv-158	205	6	distribution	distribution	NOUN
ispiv-158	205	7	.	.	PUNCT
ispiv-158	206	1	measurement	measurement	NOUN
ispiv-158	206	2	science	science	NOUN
ispiv-158	206	3	and	and	CCONJ
ispiv-158	206	4	technology	technology	NOUN
ispiv-158	206	5	,	,	PUNCT
ispiv-158	206	6	24(2	24(2	NUM
ispiv-158	206	7	)	)	PUNCT
ispiv-158	206	8	,	,	PUNCT
ispiv-158	206	9	024008	024008	NUM