id	sid	eid	entity	type
ispiv-33	1	1	14th	ORDINAL
ispiv-33	1	2	2021	CARDINAL
ispiv-33	1	3	2021	CARDINAL
ispiv-33	1	4	3	CARDINAL
ispiv-33	2	1	zhao pan1∗	PERSON
ispiv-33	2	2	jared p. whitehead3	PERSON
ispiv-33	2	3	geordie richards2	PERSON
ispiv-33	2	4	barton l. smith2†	PERSON
ispiv-33	3	1	1	CARDINAL
ispiv-33	3	2	3g1	CARDINAL
ispiv-33	3	3	canada	GPE
ispiv-33	3	4	2	CARDINAL
ispiv-33	3	5	utah	GPE
ispiv-33	3	6	logan	GPE
ispiv-33	3	7	84322	DATE
ispiv-33	3	8	brigham young university	ORG
ispiv-33	3	9	provo	GPE
ispiv-33	3	10	ut 84602	GPE
ispiv-33	3	11	usa ∗ zhao.pan@uwaterloo.ca	ORG
ispiv-33	3	12	†	DATE
ispiv-33	9	1	104	CARDINAL
ispiv-33	9	2	5×104	DATE
ispiv-33	11	1	1	CARDINAL
ispiv-33	13	1	the last decades	DATE
ispiv-33	14	1	piv	PERSON
ispiv-33	14	2	2013	DATE
ispiv-33	15	1	piv data	ORG
ispiv-33	15	2	three	CARDINAL
ispiv-33	15	3	2012	DATE
ispiv-33	20	1	first	ORDINAL
ispiv-33	21	1	1935	DATE
ispiv-33	22	1	1935	DATE
ispiv-33	23	1	decades	DATE
ispiv-33	23	2	2013	DATE
ispiv-33	23	3	2013	DATE
ispiv-33	23	4	wieneke	ORG
ispiv-33	23	5	2015	DATE
ispiv-33	25	1	two	CARDINAL
ispiv-33	26	1	jeon et al.	PRODUCT
ispiv-33	26	2	2015	DATE
ispiv-33	26	3	wang et al.	PERSON
ispiv-33	26	4	2017	DATE
ispiv-33	27	1	2020	DATE
ispiv-33	30	1	de kat	PERSON
ispiv-33	30	2	2012	DATE
ispiv-33	31	1	2013	DATE
ispiv-33	32	1	2d	CARDINAL
ispiv-33	32	2	3d	CARDINAL
ispiv-33	34	1	jeon et al.	PRODUCT
ispiv-33	34	2	2016	DATE
ispiv-33	34	3	lignarolo et al.	ORG
ispiv-33	34	4	2014	DATE
ispiv-33	34	5	2017	DATE
ispiv-33	34	6	2012	DATE
ispiv-33	34	7	zhang et al.	PERSON
ispiv-33	34	8	2017	DATE
ispiv-33	35	1	2017	DATE
ispiv-33	35	2	van oudheusden et al	ORG
ispiv-33	36	1	2007	DATE
ispiv-33	37	1	2018	DATE
ispiv-33	40	1	2010	DATE
ispiv-33	40	2	the piv data	ORG
ispiv-33	42	1	de kat	PERSON
ispiv-33	42	2	2012	DATE
ispiv-33	43	1	matthew faiella	PERSON
ispiv-33	43	2	2021	CARDINAL
ispiv-33	43	3	poisson	PERSON
ispiv-33	45	1	pan et al.	PERSON
ispiv-33	45	2	2016	DATE
ispiv-33	48	1	azijli et	PERSON
ispiv-33	49	1	2016	CARDINAL
ispiv-33	50	1	pan et al	PERSON
ispiv-33	51	1	2016	CARDINAL
ispiv-33	53	1	yarusevych	PERSON
ispiv-33	53	2	2017	DATE
ispiv-33	56	1	2	CARDINAL
ispiv-33	57	1	uuu	PERSON
ispiv-33	58	1	reynolds	ORG
ispiv-33	59	1	two	CARDINAL
ispiv-33	59	2	liu	PERSON
ispiv-33	59	3	katz	PERSON
ispiv-33	59	4	2006	DATE
ispiv-33	59	5	2	CARDINAL
ispiv-33	59	6	uuu	PERSON
ispiv-33	60	1	−∇	PERSON
ispiv-33	60	2	1	CARDINAL
ispiv-33	60	3	uuu	PERSON
ispiv-33	60	4	pan et al	PERSON
ispiv-33	61	1	2016	DATE
ispiv-33	66	1	1	CARDINAL
ispiv-33	67	1	∇2	PERSON
ispiv-33	67	2	uuu	PERSON
ispiv-33	67	3	ω	GPE
ispiv-33	67	4	neumann	ORG
ispiv-33	67	5	∇p	CARDINAL
ispiv-33	67	6	uuu	PERSON
ispiv-33	69	1	taylor	PERSON
ispiv-33	69	2	monte carlo methods (	ORG
ispiv-33	69	3	2009	DATE
ispiv-33	70	1	1	CARDINAL
ispiv-33	71	1	uuu	PERSON
ispiv-33	71	2	uuu+ εεεu	PERSON
ispiv-33	72	1	p̃	ORG
ispiv-33	72	2	p̃	ORG
ispiv-33	73	1	∇2 p̃	PERSON
ispiv-33	73	2	ω	GPE
ispiv-33	73	3	neumann bcs	ORG
ispiv-33	73	4	h(ũuu	ORDINAL
ispiv-33	75	1	3	CARDINAL
ispiv-33	76	1	three	CARDINAL
ispiv-33	78	1	3.1	CARDINAL
ispiv-33	78	2	two	CARDINAL
ispiv-33	78	3	2d	DATE
ispiv-33	79	1	zero	CARDINAL
ispiv-33	80	1	two	CARDINAL
ispiv-33	82	1	∥∥∥∥∂2	ORG
ispiv-33	82	2	∂4 p ∂2x∂2y ∥∥∥∥ l2(ω	ORG
ispiv-33	84	1	+ piv	GPE
ispiv-33	85	1	c0c2	ORG
ispiv-33	85	2	u +σ2	ORG
ispiv-33	85	3	2 hn	QUANTITY
ispiv-33	85	4	2	CARDINAL
ispiv-33	85	5	second	ORDINAL
ispiv-33	85	6	pan et al	PERSON
ispiv-33	86	1	2018	DATE
ispiv-33	87	1	second	ORDINAL
ispiv-33	88	1	2	CARDINAL
ispiv-33	89	1	1 12	CARDINAL
ispiv-33	89	2	∥∥∥∥∂2	ORG
ispiv-33	89	3	∂4 p ∂2x∂2y ∥∥∥∥ l2(ω	ORG
ispiv-33	90	1	2π2	CARDINAL
ispiv-33	90	2	2	CARDINAL
ispiv-33	91	1	3	CARDINAL
ispiv-33	91	2	2	CARDINAL
ispiv-33	91	3	3	CARDINAL
ispiv-33	91	4	1	CARDINAL
ispiv-33	95	1	1	CARDINAL
ispiv-33	95	2	2	CARDINAL
ispiv-33	95	3	3	CARDINAL
ispiv-33	96	1	||εp||l2(ω	CARDINAL
ispiv-33	96	2	1 12	CARDINAL
ispiv-33	96	3	∂2	CARDINAL
ispiv-33	97	1	2nd	ORDINAL
ispiv-33	97	2	0.9012	MONEY
ispiv-33	97	3	2π2	CARDINAL
ispiv-33	97	4	bcs σ2 u	ORG
ispiv-33	97	5	piv h spatial	ORG
ispiv-33	97	6	resolution piv	PERSON
ispiv-33	97	7	2	CARDINAL
ispiv-33	97	8	matthew faiella	PERSON
ispiv-33	97	9	2021	CARDINAL
ispiv-33	98	1	2	CARDINAL
ispiv-33	98	2	||εp||l2(ω	CARDINAL
ispiv-33	100	1	≈	CARDINAL
ispiv-33	102	1	3	CARDINAL
ispiv-33	102	2	1 12	DATE
ispiv-33	102	3	∂2	ORG
ispiv-33	102	4	∂4 p ∂2x∂2y ∥∥∥ l2(ω	ORG
ispiv-33	103	1	0.9012	MONEY
ispiv-33	103	2	2π2	CARDINAL
ispiv-33	103	3	2	CARDINAL
ispiv-33	103	4	2	CARDINAL
ispiv-33	104	1	||εp||l2(ω	CARDINAL
ispiv-33	104	2	||εp||l2(ω	CARDINAL
ispiv-33	107	1	2 √ ab	QUANTITY
ispiv-33	107	2	≈ 4 √	QUANTITY
ispiv-33	107	3	≈ 2 √	QUANTITY
ispiv-33	110	1	3.2	CARDINAL
ispiv-33	110	2	2d	DATE
ispiv-33	111	1	0	CARDINAL
ispiv-33	112	1	8πνt2 exp	QUANTITY
ispiv-33	112	2	p(r	PERSON
ispiv-33	112	3	64π2νt3	CARDINAL
ispiv-33	112	4	2006	DATE
ispiv-33	114	1	√ 2νt	DATE
ispiv-33	114	2	0	CARDINAL
ispiv-33	115	1	ξ∗	CARDINAL
ispiv-33	115	2	1 2	CARDINAL
ispiv-33	117	1	1	CARDINAL
ispiv-33	117	2	2d	CARDINAL
ispiv-33	118	1	zero	CARDINAL
ispiv-33	118	2	≈ 7.85× 10−3	CARDINAL
ispiv-33	119	1	2	CARDINAL
ispiv-33	119	2	1	CARDINAL
ispiv-33	120	1	5,000	CARDINAL
ispiv-33	122	1	2(a	CARDINAL
ispiv-33	123	1	5,000	CARDINAL
ispiv-33	125	1	2	CARDINAL
ispiv-33	125	2	first	ORDINAL
ispiv-33	126	1	3	CARDINAL
ispiv-33	129	1	3	CARDINAL
ispiv-33	132	1	≈	CARDINAL
ispiv-33	133	1	64.85	CARDINAL
ispiv-33	133	2	approximately 0.15	CARDINAL
ispiv-33	135	1	0	CARDINAL
ispiv-33	137	1	1	CARDINAL
ispiv-33	137	2	1 kg/m3	QUANTITY
ispiv-33	137	3	≈ 0.065	CARDINAL
ispiv-33	141	1	0	CARDINAL
ispiv-33	142	1	1	CARDINAL
ispiv-33	143	1	2	CARDINAL
ispiv-33	146	1	4.3×105	CARDINAL
ispiv-33	147	1	two	CARDINAL
ispiv-33	147	2	2010	DATE
ispiv-33	147	3	pan,	ORG
ispiv-33	147	4	2016	DATE
ispiv-33	147	5	mcclure	ORG
ispiv-33	147	6	yarusevych	PERSON
ispiv-33	147	7	2017	DATE
ispiv-33	147	8	fig	ORG
ispiv-33	148	1	2(a	CARDINAL
ispiv-33	150	1	2	CARDINAL
ispiv-33	151	1	0	CARDINAL
ispiv-33	152	1	2(a	CARDINAL
ispiv-33	153	1	1	CARDINAL
ispiv-33	155	1	three	CARDINAL
ispiv-33	156	1	2(a	CARDINAL
ispiv-33	156	2	0 3	CARDINAL
ispiv-33	156	3	0 3	CARDINAL
ispiv-33	156	4	0 3	CARDINAL
ispiv-33	156	5	0 3	CARDINAL
ispiv-33	156	6	0 3	CARDINAL
ispiv-33	159	1	1	CARDINAL
ispiv-33	159	2	2d	CARDINAL
ispiv-33	161	1	fig	GPE
ispiv-33	162	1	2(b-d	CARDINAL
ispiv-33	163	1	100%	PERCENT
ispiv-33	165	1	one	CARDINAL
ispiv-33	165	2	5,000	CARDINAL
ispiv-33	165	3	three	CARDINAL
ispiv-33	168	1	1	CARDINAL
ispiv-33	168	2	0,σ2	CARDINAL
ispiv-33	168	3	1.57×10−2	CARDINAL
ispiv-33	168	4	2	CARDINAL
ispiv-33	168	5	312.5	CARDINAL
ispiv-33	168	6	sec	ORG
ispiv-33	168	7	1	CARDINAL
ispiv-33	168	8	1	CARDINAL
ispiv-33	168	9	u),εv ∼ n(0,σ2 v	ORG
ispiv-33	168	10	0.98×10−3	CARDINAL
ispiv-33	168	11	3	CARDINAL
ispiv-33	169	1	2	CARDINAL
ispiv-33	169	2	two	CARDINAL
ispiv-33	169	3	1 & 2	ORG
ispiv-33	169	4	3	CARDINAL
ispiv-33	170	1	1	CARDINAL
ispiv-33	170	2	3	CARDINAL
ispiv-33	171	1	√ 2νt	TIME
ispiv-33	172	1	2πl0	CARDINAL
ispiv-33	172	2	0.25 2.04	CARDINAL
ispiv-33	174	1	64.85 4,150	CARDINAL
ispiv-33	175	1	0.1 0.87	QUANTITY
ispiv-33	178	1	1.27×104	CARDINAL
ispiv-33	180	1	piv error statistics	ORG
ispiv-33	181	1	1	CARDINAL
ispiv-33	181	2	2	CARDINAL
ispiv-33	181	3	2	CARDINAL
ispiv-33	184	1	2	CARDINAL
ispiv-33	184	2	1	CARDINAL
ispiv-33	184	3	22 1	CARDINAL
ispiv-33	184	4	1	CARDINAL
ispiv-33	184	5	2	CARDINAL
ispiv-33	186	1	5000	CARDINAL
ispiv-33	190	1	piv measurement errors	ORG
ispiv-33	193	1	2(a	CARDINAL
ispiv-33	195	1	1	CARDINAL
ispiv-33	196	1	1	CARDINAL
ispiv-33	196	2	3	CARDINAL
ispiv-33	196	3	3	CARDINAL
ispiv-33	196	4	3	CARDINAL
ispiv-33	196	5	1	CARDINAL
ispiv-33	196	6	2	CARDINAL
ispiv-33	201	1	3	CARDINAL
ispiv-33	201	2	1	CARDINAL
ispiv-33	201	3	2	CARDINAL
ispiv-33	201	4	3	CARDINAL
ispiv-33	201	5	two	CARDINAL
ispiv-33	202	1	3	CARDINAL
ispiv-33	206	1	3(b	CARDINAL
ispiv-33	206	2	1	CARDINAL
ispiv-33	206	3	2	CARDINAL
ispiv-33	210	1	2	CARDINAL
ispiv-33	210	2	1	CARDINAL
ispiv-33	211	1	2	CARDINAL
ispiv-33	211	2	3	CARDINAL
ispiv-33	211	3	2	CARDINAL
ispiv-33	211	4	3	CARDINAL
ispiv-33	211	5	1	CARDINAL
ispiv-33	211	6	3	CARDINAL
ispiv-33	212	1	1	CARDINAL
ispiv-33	212	2	2	CARDINAL
ispiv-33	212	3	3	CARDINAL
ispiv-33	215	1	1	CARDINAL
ispiv-33	215	2	2	CARDINAL
ispiv-33	215	3	two	CARDINAL
ispiv-33	217	1	three	CARDINAL
ispiv-33	221	1	4	CARDINAL
ispiv-33	222	1	4(a	TIME
ispiv-33	224	1	4(b	CARDINAL
ispiv-33	227	1	al cu la te	FAC
ispiv-33	228	1	4	CARDINAL
ispiv-33	231	1	4	CARDINAL
ispiv-33	234	1	one	CARDINAL
ispiv-33	241	1	3	CARDINAL
ispiv-33	241	2	second	ORDINAL
ispiv-33	243	1	dwight rp	PERSON
ispiv-33	243	2	2016	CARDINAL
ispiv-33	244	1	cv	PERSON
ispiv-33	244	2	smith bl	PERSON
ispiv-33	244	3	2010	DATE
ispiv-33	245	1	21:105401	CARDINAL
ispiv-33	245	2	2013	DATE
ispiv-33	246	1	24:065301	CARDINAL
ispiv-33	246	2	2009	DATE
ispiv-33	247	1	john wiley & sons	ORG
ispiv-33	247	2	hoboken	GPE
ispiv-33	247	3	nj de kat	ORG
ispiv-33	247	4	2012	DATE
ispiv-33	248	1	52:1089–1106	CARDINAL
ispiv-33	248	2	2012	DATE
ispiv-33	249	1	53:1823–1840	CARDINAL
ispiv-33	249	2	liu y	PERSON
ispiv-33	249	3	gan l (2020	ORG
ispiv-33	250	1	32:035101	PRODUCT
ispiv-33	250	2	jeon y	PRODUCT
ispiv-33	250	3	earl t	PERSON
ispiv-33	250	4	david l (	PERSON
ispiv-33	250	5	2016	CARDINAL
ispiv-33	250	6	3d	CARDINAL
ispiv-33	251	1	18th	ORDINAL
ispiv-33	252	1	lisbon	GPE
ispiv-33	252	2	portugal	GPE
ispiv-33	253	1	4–7 jeon yj	PRODUCT
ispiv-33	253	2	david l (	PERSON
ispiv-33	253	3	timeresolved piv	PERSON
ispiv-33	253	4	11th	ORDINAL
ispiv-33	256	1	o	DATE
ispiv-33	256	2	piot e	PERSON
ispiv-33	256	3	simon f	PERSON
ispiv-33	256	4	2017	CARDINAL
ispiv-33	256	5	ldv	ORG
ispiv-33	257	1	58:72 lignarolo l	ORG
ispiv-33	257	2	chen q	PERSON
ispiv-33	257	3	ferreira cs	PERSON
ispiv-33	257	4	van bussel	PERSON
ispiv-33	257	5	2014	DATE
ispiv-33	258	1	70:31–46	CARDINAL
ispiv-33	258	2	liu x	PERSON
ispiv-33	258	3	katz j (	PERSON
ispiv-33	258	4	2006	DATE
ispiv-33	259	1	41:227–240	CARDINAL
ispiv-33	259	2	matthew faiella jpw corwin	PERSON
ispiv-33	259	3	j macmillan	PERSON
ispiv-33	259	4	pan z	PRODUCT
ispiv-33	259	5	2021	CARDINAL
ispiv-33	259	6	2	CARDINAL
ispiv-33	260	1	26:074002	CARDINAL
ispiv-33	260	2	2017	CARDINAL
ispiv-33	261	1	58:62	CARDINAL
ispiv-33	261	2	2016	DATE
ispiv-33	262	1	ph.d	ORG
ispiv-33	264	1	brigham young university	ORG
ispiv-33	264	2	pan z	PRODUCT
ispiv-33	264	3	whitehead j	PERSON
ispiv-33	264	4	thomson s	ORG
ispiv-33	264	5	truscott	ORG
ispiv-33	264	6	t (	DATE
ispiv-33	264	7	2016	CARDINAL
ispiv-33	265	1	whitehead jp	PERSON
ispiv-33	265	2	richards g	PERSON
ispiv-33	265	3	truscott tt	PERSON
ispiv-33	265	4	smith bl	PERSON
ispiv-33	265	5	2018	DATE
ispiv-33	265	6	3	CARDINAL
ispiv-33	266	1	arxiv preprint arxiv:180703958 panton	ORG
ispiv-33	266	2	2006	DATE
ispiv-33	267	1	john wiley & sons	ORG
ispiv-33	267	2	hoboken	GPE
ispiv-33	267	3	nj	ORG
ispiv-33	267	4	2017	CARDINAL
ispiv-33	267	5	new york university	ORG
ispiv-33	267	6	brooklyn	GPE
ispiv-33	267	7	brooklyn	GPE
ispiv-33	267	8	ny	GPE
ispiv-33	267	9	united states	GPE
ispiv-33	268	1	395	CARDINAL
ispiv-33	268	2	bernardini m	PERSON
ispiv-33	268	3	2013	DATE
ispiv-33	269	1	54:1–15	CARDINAL
ispiv-33	269	2	2012	DATE
ispiv-33	270	1	24:012001	CARDINAL
ispiv-33	270	2	1935	DATE
ispiv-33	271	1	strömung	DATE
ispiv-33	271	2	ingenieur-archiv	ORG
ispiv-33	271	3	50	CARDINAL
ispiv-33	271	4	2013	DATE
ispiv-33	272	1	24:045302	CARDINAL
ispiv-33	272	2	2018	DATE
ispiv-33	272	3	reynolds	ORG
ispiv-33	273	1	59:1–14	CARDINAL
ispiv-33	273	2	2013	DATE
ispiv-33	274	1	24:032001	CARDINAL
ispiv-33	274	2	van oudheusden	ORG
ispiv-33	274	3	scarano f	PERSON
ispiv-33	274	4	2007	DATE
ispiv-33	275	1	wang cy	PERSON
ispiv-33	275	2	gao	PERSON
ispiv-33	275	3	wei rj	PERSON
ispiv-33	275	4	li t	PERSON
ispiv-33	275	5	wang jj	PERSON
ispiv-33	275	6	2017	CARDINAL
ispiv-33	276	1	58:84	TIME
ispiv-33	276	2	2015	CARDINAL
ispiv-33	277	1	26:074002	CARDINAL
ispiv-33	278	1	wang j	PERSON
ispiv-33	278	2	blake w	PERSON
ispiv-33	278	3	katz j (2017	ORG
ispiv-33	279	1	823:345–390	CARDINAL