id sid tid token lemma pos ispiv-148 1 1 microsoft microsoft PROPN ispiv-148 1 2 word word NOUN ispiv-148 1 3 ispiv-2021-abstract-pressure-uncertainty_v4.docx ispiv-2021-abstract-pressure-uncertainty_v4.docx PROPN ispiv-148 1 4 14th 14th ADJ ispiv-148 1 5 international international ADJ ispiv-148 1 6 symposium symposium NOUN ispiv-148 1 7 on on ADP ispiv-148 1 8 particle particle NOUN ispiv-148 1 9 image image NOUN ispiv-148 1 10 velocimetry velocimetry NOUN ispiv-148 1 11 – – PUNCT ispiv-148 1 12 ispiv ispiv NOUN ispiv-148 1 13 2021 2021 NUM ispiv-148 1 14 august august PROPN ispiv-148 1 15 1 1 NUM ispiv-148 1 16 - - SYM ispiv-148 1 17 5 5 NUM ispiv-148 1 18 , , PUNCT ispiv-148 1 19 2021 2021 NUM ispiv-148 1 20 | | ADV ispiv-148 1 21 chicago chicago PROPN ispiv-148 1 22 , , PUNCT ispiv-148 1 23 il il PROPN ispiv-148 1 24 usa usa PROPN ispiv-148 1 25 uncertainty uncertainty NOUN ispiv-148 1 26 of of ADP ispiv-148 1 27 piv piv PROPN ispiv-148 1 28 / / SYM ispiv-148 1 29 ptv ptv PROPN ispiv-148 1 30 based base VERB ispiv-148 1 31 pressure pressure NOUN ispiv-148 1 32 , , PUNCT ispiv-148 1 33 using use VERB ispiv-148 1 34 velocity velocity NOUN ispiv-148 1 35 uncertainty uncertainty NOUN ispiv-148 1 36 jiacheng jiacheng PROPN ispiv-148 1 37 zhang1 zhang1 PROPN ispiv-148 1 38 , , PUNCT ispiv-148 1 39 sayantan sayantan PROPN ispiv-148 1 40 bhattacharya1 bhattacharya1 NOUN ispiv-148 1 41 , , PUNCT ispiv-148 1 42 and and CCONJ ispiv-148 1 43 pavlos pavlo NOUN ispiv-148 2 1 p. p. PROPN ispiv-148 3 1 vlachos1,2 vlachos1,2 PROPN ispiv-148 3 2 * * SYM ispiv-148 3 3 1 1 NUM ispiv-148 3 4 school school NOUN ispiv-148 3 5 of of ADP ispiv-148 3 6 mechanical mechanical ADJ ispiv-148 3 7 engineering engineering NOUN ispiv-148 3 8 , , PUNCT ispiv-148 3 9 purdue purdue PROPN ispiv-148 3 10 university university NOUN ispiv-148 3 11 , , PUNCT ispiv-148 3 12 west west PROPN ispiv-148 3 13 lafayette lafayette PROPN ispiv-148 3 14 , , PUNCT ispiv-148 3 15 in in ADP ispiv-148 3 16 47907 47907 NUM ispiv-148 3 17 , , PUNCT ispiv-148 3 18 usa usa PROPN ispiv-148 3 19 2 2 NUM ispiv-148 3 20 weldon weldon NOUN ispiv-148 3 21 school school NOUN ispiv-148 3 22 of of ADP ispiv-148 3 23 biomedical biomedical ADJ ispiv-148 3 24 engineering engineering NOUN ispiv-148 3 25 , , PUNCT ispiv-148 3 26 purdue purdue PROPN ispiv-148 3 27 university university NOUN ispiv-148 3 28 , , PUNCT ispiv-148 3 29 west west PROPN ispiv-148 3 30 lafayette lafayette PROPN ispiv-148 3 31 , , PUNCT ispiv-148 3 32 in in ADP ispiv-148 3 33 47907 47907 NUM ispiv-148 3 34 , , PUNCT ispiv-148 4 1 usa usa PROPN ispiv-148 4 2 * * PROPN ispiv-148 4 3 pvlachos@purdue.edu pvlachos@purdue.edu PROPN ispiv-148 4 4 abstract abstract ADJ ispiv-148 4 5 pressure pressure NOUN ispiv-148 4 6 reconstruction reconstruction NOUN ispiv-148 4 7 from from ADP ispiv-148 4 8 velocity velocity NOUN ispiv-148 4 9 measurements measurement NOUN ispiv-148 4 10 using use VERB ispiv-148 4 11 particle particle NOUN ispiv-148 4 12 image image NOUN ispiv-148 4 13 velocimetry velocimetry NOUN ispiv-148 4 14 ( ( PUNCT ispiv-148 4 15 piv piv NOUN ispiv-148 4 16 ) ) PUNCT ispiv-148 4 17 and and CCONJ ispiv-148 4 18 particle particle NOUN ispiv-148 4 19 tracking tracking NOUN ispiv-148 4 20 velocimetry velocimetry NOUN ispiv-148 4 21 ( ( PUNCT ispiv-148 4 22 ptv ptv INTJ ispiv-148 4 23 ) ) PUNCT ispiv-148 4 24 has have AUX ispiv-148 4 25 drawn draw VERB ispiv-148 4 26 significant significant ADJ ispiv-148 4 27 attention attention NOUN ispiv-148 4 28 as as SCONJ ispiv-148 4 29 it it PRON ispiv-148 4 30 can can AUX ispiv-148 4 31 provide provide VERB ispiv-148 4 32 instantaneous instantaneous ADJ ispiv-148 4 33 pressure pressure NOUN ispiv-148 4 34 fields field NOUN ispiv-148 4 35 without without ADP ispiv-148 4 36 altering alter VERB ispiv-148 4 37 the the DET ispiv-148 4 38 flow flow NOUN ispiv-148 4 39 . . PUNCT ispiv-148 5 1 previous previous ADJ ispiv-148 5 2 studies study NOUN ispiv-148 5 3 have have AUX ispiv-148 5 4 found find VERB ispiv-148 5 5 that that SCONJ ispiv-148 5 6 the the DET ispiv-148 5 7 accuracy accuracy NOUN ispiv-148 5 8 of of ADP ispiv-148 5 9 the the DET ispiv-148 5 10 calcualted calcualted ADJ ispiv-148 5 11 pressure pressure NOUN ispiv-148 5 12 field field NOUN ispiv-148 5 13 depends depend VERB ispiv-148 5 14 on on ADP ispiv-148 5 15 several several ADJ ispiv-148 5 16 factors factor NOUN ispiv-148 5 17 including include VERB ispiv-148 5 18 the the DET ispiv-148 5 19 accuarcy accuarcy NOUN ispiv-148 5 20 of of ADP ispiv-148 5 21 the the DET ispiv-148 5 22 velocity velocity NOUN ispiv-148 5 23 measurement measurement NOUN ispiv-148 5 24 , , PUNCT ispiv-148 5 25 the the DET ispiv-148 5 26 spatiotemporal spatiotemporal ADJ ispiv-148 5 27 resolutions resolution NOUN ispiv-148 5 28 , , PUNCT ispiv-148 5 29 the the DET ispiv-148 5 30 method method NOUN ispiv-148 5 31 for for ADP ispiv-148 5 32 calculating calculate VERB ispiv-148 5 33 pressure pressure NOUN ispiv-148 5 34 - - PUNCT ispiv-148 5 35 gradient gradient NOUN ispiv-148 5 36 , , PUNCT ispiv-148 5 37 the the DET ispiv-148 5 38 algorithm algorithm NOUN ispiv-148 5 39 for for ADP ispiv-148 5 40 pressure pressure NOUN ispiv-148 5 41 - - PUNCT ispiv-148 5 42 gradient gradient NOUN ispiv-148 5 43 integration integration NOUN ispiv-148 5 44 , , PUNCT ispiv-148 5 45 the the DET ispiv-148 5 46 pressure pressure NOUN ispiv-148 5 47 boundary boundary ADJ ispiv-148 5 48 condition condition NOUN ispiv-148 5 49 , , PUNCT ispiv-148 5 50 etc etc X ispiv-148 5 51 . . X ispiv-148 5 52 therefore therefore ADV ispiv-148 5 53 , , PUNCT ispiv-148 5 54 it it PRON ispiv-148 5 55 is be AUX ispiv-148 5 56 critical critical ADJ ispiv-148 5 57 and and CCONJ ispiv-148 5 58 challenging challenging ADJ ispiv-148 5 59 to to PART ispiv-148 5 60 quantify quantify VERB ispiv-148 5 61 the the DET ispiv-148 5 62 uncertainty uncertainty NOUN ispiv-148 5 63 of of ADP ispiv-148 5 64 the the DET ispiv-148 5 65 reconstructed reconstructed ADJ ispiv-148 5 66 pressure pressure NOUN ispiv-148 5 67 field field NOUN ispiv-148 5 68 . . PUNCT ispiv-148 6 1 the the DET ispiv-148 6 2 recent recent ADJ ispiv-148 6 3 development development NOUN ispiv-148 6 4 of of ADP ispiv-148 6 5 the the DET ispiv-148 6 6 uncertainty uncertainty NOUN ispiv-148 6 7 quantification quantification NOUN ispiv-148 6 8 algorithms algorithm NOUN ispiv-148 6 9 for for ADP ispiv-148 6 10 piv piv NOUN ispiv-148 6 11 and and CCONJ ispiv-148 6 12 ptv ptv X ispiv-148 6 13 allows allow VERB ispiv-148 6 14 for for ADP ispiv-148 6 15 the the DET ispiv-148 6 16 local local ADJ ispiv-148 6 17 and and CCONJ ispiv-148 6 18 instantaneous instantaneous ADJ ispiv-148 6 19 uncertainty uncertainty NOUN ispiv-148 6 20 estimation estimation NOUN ispiv-148 6 21 of of ADP ispiv-148 6 22 velocity velocity NOUN ispiv-148 6 23 measurement measurement NOUN ispiv-148 6 24 , , PUNCT ispiv-148 6 25 which which PRON ispiv-148 6 26 can can AUX ispiv-148 6 27 be be AUX ispiv-148 6 28 used use VERB ispiv-148 6 29 to to PART ispiv-148 6 30 infer infer VERB ispiv-148 6 31 the the DET ispiv-148 6 32 pressure pressure NOUN ispiv-148 6 33 uncertainty uncertainty NOUN ispiv-148 6 34 . . PUNCT ispiv-148 7 1 in in ADP ispiv-148 7 2 this this DET ispiv-148 7 3 study study NOUN ispiv-148 7 4 , , PUNCT ispiv-148 7 5 we we PRON ispiv-148 7 6 introduce introduce VERB ispiv-148 7 7 a a DET ispiv-148 7 8 framework framework NOUN ispiv-148 7 9 that that PRON ispiv-148 7 10 propagates propagate VERB ispiv-148 7 11 the the DET ispiv-148 7 12 standard standard ADJ ispiv-148 7 13 velocity velocity NOUN ispiv-148 7 14 uncertainty uncertainty NOUN ispiv-148 7 15 defined define VERB ispiv-148 7 16 as as ADP ispiv-148 7 17 the the DET ispiv-148 7 18 standard standard ADJ ispiv-148 7 19 deviation deviation NOUN ispiv-148 7 20 of of ADP ispiv-148 7 21 the the DET ispiv-148 7 22 velocity velocity NOUN ispiv-148 7 23 error error NOUN ispiv-148 7 24 distribution distribution NOUN ispiv-148 7 25 through through ADP ispiv-148 7 26 the the DET ispiv-148 7 27 pressure pressure NOUN ispiv-148 7 28 reconstruction reconstruction NOUN ispiv-148 7 29 process process NOUN ispiv-148 7 30 to to PART ispiv-148 7 31 obtain obtain VERB ispiv-148 7 32 the the DET ispiv-148 7 33 uncertainty uncertainty NOUN ispiv-148 7 34 of of ADP ispiv-148 7 35 the the DET ispiv-148 7 36 pressure pressure NOUN ispiv-148 7 37 field field NOUN ispiv-148 7 38 . . PUNCT ispiv-148 8 1 the the DET ispiv-148 8 2 uncertainty uncertainty NOUN ispiv-148 8 3 propagations propagation VERB ispiv-148 8 4 through through ADP ispiv-148 8 5 the the DET ispiv-148 8 6 calculation calculation NOUN ispiv-148 8 7 of of ADP ispiv-148 8 8 the the DET ispiv-148 8 9 pressure pressure NOUN ispiv-148 8 10 - - PUNCT ispiv-148 8 11 gradient gradient NOUN ispiv-148 8 12 and and CCONJ ispiv-148 8 13 the the DET ispiv-148 8 14 pressure pressure NOUN ispiv-148 8 15 - - PUNCT ispiv-148 8 16 gradient gradient NOUN ispiv-148 8 17 integration integration NOUN ispiv-148 8 18 were be AUX ispiv-148 8 19 modeled model VERB ispiv-148 8 20 as as ADP ispiv-148 8 21 linear linear ADJ ispiv-148 8 22 transformations transformation NOUN ispiv-148 8 23 , , PUNCT ispiv-148 8 24 which which PRON ispiv-148 8 25 can can AUX ispiv-148 8 26 reproduce reproduce VERB ispiv-148 8 27 the the DET ispiv-148 8 28 effects effect NOUN ispiv-148 8 29 of of ADP ispiv-148 8 30 the the DET ispiv-148 8 31 spatiotemporal spatiotemporal ADJ ispiv-148 8 32 resolutions resolution NOUN ispiv-148 8 33 , , PUNCT ispiv-148 8 34 the the DET ispiv-148 8 35 numerical numerical ADJ ispiv-148 8 36 schemes scheme NOUN ispiv-148 8 37 , , PUNCT ispiv-148 8 38 the the DET ispiv-148 8 39 integration integration NOUN ispiv-148 8 40 algorithms algorithm VERB ispiv-148 8 41 , , PUNCT ispiv-148 8 42 and and CCONJ ispiv-148 8 43 the the DET ispiv-148 8 44 pressure pressure NOUN ispiv-148 8 45 boundary boundary ADJ ispiv-148 8 46 condition condition NOUN ispiv-148 8 47 on on ADP ispiv-148 8 48 the the DET ispiv-148 8 49 accuracy accuracy NOUN ispiv-148 8 50 of of ADP ispiv-148 8 51 the the DET ispiv-148 8 52 resulting result VERB ispiv-148 8 53 pressure pressure NOUN ispiv-148 8 54 fields field NOUN ispiv-148 8 55 . . PUNCT ispiv-148 9 1 the the DET ispiv-148 9 2 proposed propose VERB ispiv-148 9 3 uncertainty uncertainty NOUN ispiv-148 9 4 estimation estimation NOUN ispiv-148 9 5 approach approach NOUN ispiv-148 9 6 also also ADV ispiv-148 9 7 considers consider VERB ispiv-148 9 8 the the DET ispiv-148 9 9 effect effect NOUN ispiv-148 9 10 of of ADP ispiv-148 9 11 the the DET ispiv-148 9 12 spatiotemporal spatiotemporal ADJ ispiv-148 9 13 and and CCONJ ispiv-148 9 14 componentwise componentwise NOUN ispiv-148 9 15 correlation correlation NOUN ispiv-148 9 16 of of ADP ispiv-148 9 17 the the DET ispiv-148 9 18 velocity velocity NOUN ispiv-148 9 19 errors error NOUN ispiv-148 9 20 in in ADP ispiv-148 9 21 common common ADJ ispiv-148 9 22 piv piv NOUN ispiv-148 9 23 / / SYM ispiv-148 9 24 ptv ptv PROPN ispiv-148 9 25 measurements measurement NOUN ispiv-148 9 26 on on ADP ispiv-148 9 27 the the DET ispiv-148 9 28 pressure pressure NOUN ispiv-148 9 29 uncertainty uncertainty NOUN ispiv-148 9 30 . . PUNCT ispiv-148 10 1 the the DET ispiv-148 10 2 method method NOUN ispiv-148 10 3 was be AUX ispiv-148 10 4 firstly firstly ADV ispiv-148 10 5 validated validate VERB ispiv-148 10 6 with with ADP ispiv-148 10 7 synthetic synthetic ADJ ispiv-148 10 8 flow flow NOUN ispiv-148 10 9 fields field NOUN ispiv-148 10 10 for for ADP ispiv-148 10 11 the the DET ispiv-148 10 12 reconstructions reconstruction NOUN ispiv-148 10 13 by by ADP ispiv-148 10 14 solving solve VERB ispiv-148 10 15 the the DET ispiv-148 10 16 pressure pressure NOUN ispiv-148 10 17 poisson poisson NOUN ispiv-148 10 18 equation equation NOUN ispiv-148 10 19 ( ( PUNCT ispiv-148 10 20 ppe ppe PROPN ispiv-148 10 21 ) ) PUNCT ispiv-148 10 22 and and CCONJ ispiv-148 10 23 using use VERB ispiv-148 10 24 the the DET ispiv-148 10 25 least least ADJ ispiv-148 10 26 - - PUNCT ispiv-148 10 27 squares square NOUN ispiv-148 10 28 methods method NOUN ispiv-148 10 29 ( ( PUNCT ispiv-148 10 30 ols ols PROPN ispiv-148 10 31 , , PUNCT ispiv-148 10 32 wls wls PROPN ispiv-148 10 33 , , PUNCT ispiv-148 10 34 gls gls PROPN ispiv-148 10 35 ) ) PUNCT ispiv-148 11 1 [ [ X ispiv-148 11 2 1 1 NUM ispiv-148 11 3 ] ] PUNCT ispiv-148 11 4 . . PUNCT ispiv-148 12 1 the the DET ispiv-148 12 2 synthetic synthetic ADJ ispiv-148 12 3 flow flow NOUN ispiv-148 12 4 fields field NOUN ispiv-148 12 5 were be AUX ispiv-148 12 6 generated generate VERB ispiv-148 12 7 from from ADP ispiv-148 12 8 a a DET ispiv-148 12 9 2d 2d NUM ispiv-148 12 10 pulsatile pulsatile NOUN ispiv-148 12 11 channel channel NOUN ispiv-148 12 12 flow flow NOUN ispiv-148 12 13 and and CCONJ ispiv-148 12 14 were be AUX ispiv-148 12 15 contaminated contaminate VERB ispiv-148 12 16 with with ADP ispiv-148 12 17 varying vary VERB ispiv-148 12 18 levels level NOUN ispiv-148 12 19 of of ADP ispiv-148 12 20 artificial artificial ADJ ispiv-148 12 21 noise noise NOUN ispiv-148 12 22 that that PRON ispiv-148 12 23 were be AUX ispiv-148 12 24 correlated correlate VERB ispiv-148 12 25 in in ADP ispiv-148 12 26 space space NOUN ispiv-148 12 27 , , PUNCT ispiv-148 12 28 time time NOUN ispiv-148 12 29 , , PUNCT ispiv-148 12 30 and and CCONJ ispiv-148 12 31 between between ADP ispiv-148 12 32 components component NOUN ispiv-148 12 33 . . PUNCT ispiv-148 13 1 the the DET ispiv-148 13 2 root root NOUN ispiv-148 13 3 - - PUNCT ispiv-148 13 4 mean mean NOUN ispiv-148 13 5 - - PUNCT ispiv-148 13 6 square square NOUN ispiv-148 13 7 ( ( PUNCT ispiv-148 13 8 rms rm NOUN ispiv-148 13 9 ) ) PUNCT ispiv-148 13 10 of of ADP ispiv-148 13 11 the the DET ispiv-148 13 12 pressure pressure NOUN ispiv-148 13 13 error error NOUN ispiv-148 13 14 and and CCONJ ispiv-148 13 15 uncertainty uncertainty NOUN ispiv-148 13 16 normalized normalize VERB ispiv-148 13 17 by by ADP ispiv-148 13 18 the the DET ispiv-148 13 19 characteristic characteristic ADJ ispiv-148 13 20 pressure pressure NOUN ispiv-148 13 21 are be AUX ispiv-148 13 22 compared compare VERB ispiv-148 13 23 in in ADP ispiv-148 13 24 figure figure NOUN ispiv-148 13 25 1 1 NUM ispiv-148 13 26 as as ADP ispiv-148 13 27 functions function NOUN ispiv-148 13 28 of of ADP ispiv-148 13 29 the the DET ispiv-148 13 30 velocity velocity NOUN ispiv-148 13 31 noise noise NOUN ispiv-148 13 32 level level NOUN ispiv-148 13 33 ( ( PUNCT ispiv-148 13 34 𝛼 𝛼 NOUN ispiv-148 13 35 ) ) PUNCT ispiv-148 13 36 . . PUNCT ispiv-148 14 1 for for ADP ispiv-148 14 2 ppe ppe PROPN ispiv-148 14 3 and and CCONJ ispiv-148 14 4 ols ols PROPN ispiv-148 14 5 , , PUNCT ispiv-148 14 6 the the DET ispiv-148 14 7 rms rm NOUN ispiv-148 14 8 uncertainty uncertainty NOUN ispiv-148 14 9 matched match VERB ispiv-148 14 10 the the DET ispiv-148 14 11 rms rm NOUN ispiv-148 14 12 error error NOUN ispiv-148 14 13 for for ADP ispiv-148 14 14 cases case NOUN ispiv-148 14 15 with with ADP ispiv-148 14 16 𝛼 𝛼 PRON ispiv-148 14 17 < < X ispiv-148 14 18 10 10 NUM ispiv-148 14 19 % % NOUN ispiv-148 14 20 but but CCONJ ispiv-148 14 21 overestimated overestimate VERB ispiv-148 14 22 by by ADP ispiv-148 14 23 about about ADV ispiv-148 14 24 10 10 NUM ispiv-148 14 25 % % NOUN ispiv-148 14 26 for for ADP ispiv-148 14 27 cases case NOUN ispiv-148 14 28 with with ADP ispiv-148 14 29 greater great ADJ ispiv-148 14 30 noise noise NOUN ispiv-148 14 31 . . PUNCT ispiv-148 15 1 at at ADP ispiv-148 15 2 low low ADJ ispiv-148 15 3 noise noise NOUN ispiv-148 15 4 levels level NOUN ispiv-148 15 5 ( ( PUNCT ispiv-148 15 6 𝛼 𝛼 X ispiv-148 15 7 ≀5 ≀5 PROPN ispiv-148 15 8 % % NOUN ispiv-148 15 9 ) ) PUNCT ispiv-148 15 10 , , PUNCT ispiv-148 15 11 the the DET ispiv-148 15 12 rms rm NOUN ispiv-148 15 13 uncertainty uncertainty NOUN ispiv-148 15 14 of of ADP ispiv-148 15 15 wls wl NOUN ispiv-148 15 16 and and CCONJ ispiv-148 15 17 gls gls ADJ ispiv-148 15 18 reconstructions reconstruction NOUN ispiv-148 15 19 were be AUX ispiv-148 15 20 underestimated underestimate VERB ispiv-148 15 21 by by ADP ispiv-148 15 22 40 40 NUM ispiv-148 15 23 - - SYM ispiv-148 15 24 60 60 NUM ispiv-148 15 25 % % NOUN ispiv-148 15 26 , , PUNCT ispiv-148 15 27 while while SCONJ ispiv-148 15 28 the the DET ispiv-148 15 29 rms rm NOUN ispiv-148 15 30 uncertainty uncertainty NOUN ispiv-148 15 31 was be AUX ispiv-148 15 32 within within ADP ispiv-148 15 33 10 10 NUM ispiv-148 15 34 % % NOUN ispiv-148 15 35 of of ADP ispiv-148 15 36 the the DET ispiv-148 15 37 rms rm NOUN ispiv-148 15 38 error error NOUN ispiv-148 15 39 for for ADP ispiv-148 15 40 the the DET ispiv-148 15 41 other other ADJ ispiv-148 15 42 noise noise NOUN ispiv-148 15 43 levels level NOUN ispiv-148 15 44 . . PUNCT ispiv-148 16 1 at at ADP ispiv-148 16 2 high high ADJ ispiv-148 16 3 noise noise NOUN ispiv-148 16 4 levels level NOUN ispiv-148 16 5 ( ( PUNCT ispiv-148 16 6 𝛼 𝛼 X ispiv-148 16 7 > > X ispiv-148 16 8 10 10 NUM ispiv-148 16 9 % % NOUN ispiv-148 16 10 ) ) PUNCT ispiv-148 16 11 , , PUNCT ispiv-148 16 12 the the DET ispiv-148 16 13 rms rm NOUN ispiv-148 16 14 uncertainty uncertainty NOUN ispiv-148 16 15 was be AUX ispiv-148 16 16 overestimated overestimate VERB ispiv-148 16 17 by by ADP ispiv-148 16 18 about about ADV ispiv-148 16 19 3 3 NUM ispiv-148 16 20 % % NOUN ispiv-148 16 21 for for ADP ispiv-148 16 22 wls wl NOUN ispiv-148 16 23 while while SCONJ ispiv-148 16 24 underestimated underestimate VERB ispiv-148 16 25 by by ADP ispiv-148 16 26 5 5 NUM ispiv-148 16 27 % % NOUN ispiv-148 16 28 for for ADP ispiv-148 16 29 gls gls PROPN ispiv-148 16 30 . . PUNCT ispiv-148 17 1 figure figure NOUN ispiv-148 17 2 1 1 NUM ispiv-148 17 3 the the DET ispiv-148 17 4 rms rm NOUN ispiv-148 17 5 of of ADP ispiv-148 17 6 pressure pressure NOUN ispiv-148 17 7 error error NOUN ispiv-148 17 8 and and CCONJ ispiv-148 17 9 uncertainty uncertainty NOUN ispiv-148 17 10 from from ADP ispiv-148 17 11 velocity velocity NOUN ispiv-148 17 12 fields field NOUN ispiv-148 17 13 with with ADP ispiv-148 17 14 different different ADJ ispiv-148 17 15 noise noise NOUN ispiv-148 17 16 level level NOUN ispiv-148 17 17 the the DET ispiv-148 17 18 method method NOUN ispiv-148 17 19 was be AUX ispiv-148 17 20 then then ADV ispiv-148 17 21 applied apply VERB ispiv-148 17 22 to to ADP ispiv-148 17 23 the the DET ispiv-148 17 24 experimental experimental ADJ ispiv-148 17 25 velocity velocity NOUN ispiv-148 17 26 measurement measurement NOUN ispiv-148 17 27 of of ADP ispiv-148 17 28 a a DET ispiv-148 17 29 vortex vortex NOUN ispiv-148 17 30 ring ring NOUN ispiv-148 17 31 acquired acquire VERB ispiv-148 17 32 using use VERB ispiv-148 17 33 plannar plannar NOUN ispiv-148 17 34 piv piv NOUN ispiv-148 18 1 [ [ X ispiv-148 18 2 2 2 NUM ispiv-148 18 3 ] ] PUNCT ispiv-148 18 4 . . PUNCT ispiv-148 19 1 to to PART ispiv-148 19 2 account account VERB ispiv-148 19 3 for for ADP ispiv-148 19 4 the the DET ispiv-148 19 5 effect effect NOUN ispiv-148 19 6 of of ADP ispiv-148 19 7 the the DET ispiv-148 19 8 interrogation interrogation NOUN ispiv-148 19 9 window window NOUN ispiv-148 19 10 overlap overlap NOUN ispiv-148 19 11 on on ADP ispiv-148 19 12 the the DET ispiv-148 19 13 spatial spatial ADJ ispiv-148 19 14 autocorrelation autocorrelation NOUN ispiv-148 19 15 of of ADP ispiv-148 19 16 velocity velocity NOUN ispiv-148 19 17 errors error NOUN ispiv-148 19 18 [ [ X ispiv-148 19 19 3 3 NUM ispiv-148 19 20 ] ] PUNCT ispiv-148 19 21 , , PUNCT ispiv-148 19 22 the the DET ispiv-148 19 23 autocorrelation autocorrelation NOUN ispiv-148 19 24 coefficient coefficient NOUN ispiv-148 19 25 was be AUX ispiv-148 19 26 approximated approximate VERB ispiv-148 19 27 using use VERB ispiv-148 19 28 a a DET ispiv-148 19 29 gaussian gaussian ADJ ispiv-148 19 30 function function NOUN ispiv-148 19 31 of of ADP ispiv-148 19 32 the the DET ispiv-148 19 33 spatial spatial ADJ ispiv-148 19 34 separation separation NOUN ispiv-148 19 35 as as ADP ispiv-148 19 36 : : PUNCT ispiv-148 19 37 𝜌 𝜌 X ispiv-148 19 38 = = SYM ispiv-148 19 39 exp*ln*𝑀 exp*ln*𝑀 NOUN ispiv-148 19 40 ! ! PUNCT ispiv-148 19 41 " " PUNCT ispiv-148 19 42 . . PUNCT ispiv-148 20 1 Γ— Γ— NOUN ispiv-148 20 2 π‘Ÿ π‘Ÿ NOUN ispiv-148 20 3 # # NOUN ispiv-148 20 4 . . PUNCT ispiv-148 20 5 , , PUNCT ispiv-148 20 6 ( ( PUNCT ispiv-148 20 7 1 1 X ispiv-148 20 8 ) ) PUNCT ispiv-148 20 9 where where SCONJ ispiv-148 20 10 𝑀 𝑀 X ispiv-148 20 11 ! ! PUNCT ispiv-148 20 12 " " PUNCT ispiv-148 20 13 is be AUX ispiv-148 20 14 the the DET ispiv-148 20 15 window window NOUN ispiv-148 20 16 overlap overlap NOUN ispiv-148 20 17 , , PUNCT ispiv-148 20 18 and and CCONJ ispiv-148 20 19 π‘Ÿ π‘Ÿ NOUN ispiv-148 20 20 represents represent VERB ispiv-148 20 21 the the DET ispiv-148 20 22 spatial spatial ADJ ispiv-148 20 23 separation separation NOUN ispiv-148 20 24 normalized normalize VERB ispiv-148 20 25 by by ADP ispiv-148 20 26 the the DET ispiv-148 20 27 grid grid NOUN ispiv-148 20 28 resolution resolution NOUN ispiv-148 20 29 , , PUNCT ispiv-148 20 30 thus thus ADV ispiv-148 20 31 , , PUNCT ispiv-148 20 32 𝜌 𝜌 X ispiv-148 20 33 = = SYM ispiv-148 20 34 𝑀 𝑀 PROPN ispiv-148 20 35 ! ! PUNCT ispiv-148 20 36 " " PUNCT ispiv-148 20 37 between between ADP ispiv-148 20 38 neighboring neighboring NOUN ispiv-148 20 39 velocity velocity NOUN ispiv-148 20 40 measurements measurement NOUN ispiv-148 20 41 . . PUNCT ispiv-148 21 1 the the DET ispiv-148 21 2 streamwise streamwise NOUN ispiv-148 21 3 velocity velocity NOUN ispiv-148 21 4 field field NOUN ispiv-148 21 5 is be AUX ispiv-148 21 6 shown show VERB ispiv-148 21 7 in in ADP ispiv-148 21 8 figure figure NOUN ispiv-148 21 9 2(a 2(a NUM ispiv-148 21 10 ) ) PUNCT ispiv-148 21 11 . . PUNCT ispiv-148 22 1 the the DET ispiv-148 22 2 histograms histogram NOUN ispiv-148 22 3 of of ADP ispiv-148 22 4 velocty velocty NOUN ispiv-148 22 5 error error NOUN ispiv-148 22 6 and and CCONJ ispiv-148 22 7 uncertainty uncertainty NOUN ispiv-148 22 8 quantified quantify VERB ispiv-148 22 9 by by ADP ispiv-148 22 10 the the DET ispiv-148 22 11 moment moment NOUN ispiv-148 22 12 of of ADP ispiv-148 22 13 correlation correlation NOUN ispiv-148 22 14 ( ( PUNCT ispiv-148 22 15 mc mc NOUN ispiv-148 22 16 ) ) PUNCT ispiv-148 22 17 method method NOUN ispiv-148 22 18 [ [ X ispiv-148 22 19 4 4 NUM ispiv-148 22 20 ] ] PUNCT ispiv-148 22 21 are be AUX ispiv-148 22 22 presented present VERB ispiv-148 22 23 in in ADP ispiv-148 22 24 figure figure NOUN ispiv-148 22 25 2(b 2(b NUM ispiv-148 22 26 ) ) PUNCT ispiv-148 22 27 . . PUNCT ispiv-148 23 1 the the DET ispiv-148 23 2 histograms histogram NOUN ispiv-148 23 3 of of ADP ispiv-148 23 4 the the DET ispiv-148 23 5 pressure pressure NOUN ispiv-148 23 6 error error NOUN ispiv-148 23 7 and and CCONJ ispiv-148 23 8 the the DET ispiv-148 23 9 estimated estimate VERB ispiv-148 23 10 uncertainty uncertainty NOUN ispiv-148 23 11 for for ADP ispiv-148 23 12 the the DET ispiv-148 23 13 reconstruction reconstruction NOUN ispiv-148 23 14 using use VERB ispiv-148 23 15 ppe ppe NOUN ispiv-148 23 16 are be AUX ispiv-148 23 17 compared compare VERB ispiv-148 23 18 in in ADP ispiv-148 23 19 figure figure NOUN ispiv-148 23 20 2(c 2(c NUM ispiv-148 23 21 ) ) PUNCT ispiv-148 23 22 . . PUNCT ispiv-148 24 1 as as SCONJ ispiv-148 24 2 indicated indicate VERB ispiv-148 24 3 by by ADP ispiv-148 24 4 the the DET ispiv-148 24 5 rms rm NOUN ispiv-148 24 6 values value NOUN ispiv-148 24 7 , , PUNCT ispiv-148 24 8 the the DET ispiv-148 24 9 velocity velocity NOUN ispiv-148 24 10 uncertainty uncertainty NOUN ispiv-148 24 11 underestimated underestimate VERB ispiv-148 24 12 the the DET ispiv-148 24 13 velcoity velcoity NOUN ispiv-148 24 14 error error NOUN ispiv-148 24 15 by by ADP ispiv-148 24 16 27 27 NUM ispiv-148 24 17 % % NOUN ispiv-148 24 18 , , PUNCT ispiv-148 24 19 while while SCONJ ispiv-148 24 20 the the DET ispiv-148 24 21 pressure pressure NOUN ispiv-148 24 22 uncertainty uncertainty NOUN ispiv-148 24 23 was be AUX ispiv-148 24 24 21 21 NUM ispiv-148 24 25 % % NOUN ispiv-148 24 26 lower low ADJ ispiv-148 24 27 than than ADP ispiv-148 24 28 the the DET ispiv-148 24 29 pressure pressure NOUN ispiv-148 24 30 error error NOUN ispiv-148 24 31 . . PUNCT ispiv-148 25 1 as as SCONJ ispiv-148 25 2 suggested suggest VERB ispiv-148 25 3 in in ADP ispiv-148 25 4 figure figure NOUN ispiv-148 25 5 2(d 2(d NUM ispiv-148 25 6 ) ) PUNCT ispiv-148 25 7 , , PUNCT ispiv-148 25 8 the the DET ispiv-148 25 9 pressure pressure NOUN ispiv-148 25 10 uncertainty uncertainty NOUN ispiv-148 25 11 showed show VERB ispiv-148 25 12 a a DET ispiv-148 25 13 similar similar ADJ ispiv-148 25 14 trend trend NOUN ispiv-148 25 15 across across ADP ispiv-148 25 16 field field NOUN ispiv-148 25 17 as as ADP ispiv-148 25 18 the the DET ispiv-148 25 19 pressure pressure NOUN ispiv-148 25 20 error error NOUN ispiv-148 25 21 but but CCONJ ispiv-148 25 22 was be AUX ispiv-148 25 23 underestimated underestimate VERB ispiv-148 25 24 around around ADP ispiv-148 25 25 the the DET ispiv-148 25 26 vortex vortex NOUN ispiv-148 25 27 cores core NOUN ispiv-148 25 28 , , PUNCT ispiv-148 25 29 resulting result VERB ispiv-148 25 30 in in ADP ispiv-148 25 31 more more ADJ ispiv-148 25 32 uniform uniform ADJ ispiv-148 25 33 spatial spatial ADJ ispiv-148 25 34 distributions distribution NOUN ispiv-148 25 35 . . PUNCT ispiv-148 26 1 the the DET ispiv-148 26 2 method method NOUN ispiv-148 26 3 was be AUX ispiv-148 26 4 further far ADV ispiv-148 26 5 applied apply VERB ispiv-148 26 6 to to ADP ispiv-148 26 7 the the DET ispiv-148 26 8 volumetric volumetric NOUN ispiv-148 26 9 ptv ptv PROPN ispiv-148 26 10 measurement measurement NOUN ispiv-148 26 11 of of ADP ispiv-148 26 12 a a DET ispiv-148 26 13 laminar laminar ADJ ispiv-148 26 14 pipe pipe NOUN ispiv-148 26 15 flow flow NOUN ispiv-148 26 16 [ [ X ispiv-148 26 17 5 5 NUM ispiv-148 26 18 ] ] PUNCT ispiv-148 26 19 . . PUNCT ispiv-148 27 1 the the DET ispiv-148 27 2 errors error NOUN ispiv-148 27 3 and and CCONJ ispiv-148 27 4 estimated estimate VERB ispiv-148 27 5 uncertainties uncertainty NOUN ispiv-148 27 6 are be AUX ispiv-148 27 7 compared compare VERB ispiv-148 27 8 in in ADP ispiv-148 27 9 figure figure NOUN ispiv-148 27 10 3(a 3(a NUM ispiv-148 27 11 ) ) PUNCT ispiv-148 27 12 for for ADP ispiv-148 27 13 the the DET ispiv-148 27 14 velocity velocity NOUN ispiv-148 27 15 fields field NOUN ispiv-148 27 16 obtained obtain VERB ispiv-148 27 17 with with ADP ispiv-148 27 18 an an DET ispiv-148 27 19 iterative iterative NOUN ispiv-148 27 20 particle particle NOUN ispiv-148 27 21 reconstruction reconstruction NOUN ispiv-148 27 22 ( ( PUNCT ispiv-148 27 23 ipr ipr PROPN ispiv-148 27 24 ) ) PUNCT ispiv-148 27 25 based base VERB ispiv-148 27 26 3d 3d PROPN ispiv-148 27 27 reconstruction reconstruction NOUN ispiv-148 27 28 [ [ X ispiv-148 27 29 6 6 NUM ispiv-148 27 30 ] ] PUNCT ispiv-148 27 31 and and CCONJ ispiv-148 27 32 nearest nearest ADJ ispiv-148 27 33 - - PUNCT ispiv-148 27 34 neighbor neighbor NOUN ispiv-148 27 35 tracking tracking NOUN ispiv-148 27 36 , , PUNCT ispiv-148 27 37 and and CCONJ ispiv-148 27 38 the the DET ispiv-148 27 39 pressure pressure NOUN ispiv-148 27 40 fields field NOUN ispiv-148 27 41 reconstructed reconstruct VERB ispiv-148 27 42 using use VERB ispiv-148 27 43 ppe ppe NOUN ispiv-148 27 44 . . PUNCT ispiv-148 28 1 as as SCONJ ispiv-148 28 2 suggested suggest VERB ispiv-148 28 3 by by ADP ispiv-148 28 4 the the DET ispiv-148 28 5 rms rm NOUN ispiv-148 28 6 values value NOUN ispiv-148 28 7 , , PUNCT ispiv-148 28 8 the the DET ispiv-148 28 9 velocity velocity NOUN ispiv-148 28 10 uncertainty uncertainty NOUN ispiv-148 28 11 was be AUX ispiv-148 28 12 10 10 NUM ispiv-148 28 13 % % NOUN ispiv-148 28 14 higher high ADJ ispiv-148 28 15 than than ADP ispiv-148 28 16 the the DET ispiv-148 28 17 velocity velocity NOUN ispiv-148 28 18 error error NOUN ispiv-148 28 19 , , PUNCT ispiv-148 28 20 while while SCONJ ispiv-148 28 21 the the DET ispiv-148 28 22 pressure pressure NOUN ispiv-148 28 23 uncertainty uncertainty NOUN ispiv-148 28 24 was be AUX ispiv-148 28 25 7 7 NUM ispiv-148 28 26 % % NOUN ispiv-148 28 27 higher high ADJ ispiv-148 28 28 than than ADP ispiv-148 28 29 the the DET ispiv-148 28 30 pressure pressure NOUN ispiv-148 28 31 error error NOUN ispiv-148 28 32 . . PUNCT ispiv-148 29 1 as as SCONJ ispiv-148 29 2 shown show VERB ispiv-148 29 3 in in ADP ispiv-148 29 4 figure figure NOUN ispiv-148 29 5 3(b 3(b NUM ispiv-148 29 6 ) ) PUNCT ispiv-148 29 7 , , PUNCT ispiv-148 29 8 the the DET ispiv-148 29 9 spatial spatial ADJ ispiv-148 29 10 distribution distribution NOUN ispiv-148 29 11 of of ADP ispiv-148 29 12 the the DET ispiv-148 29 13 pressure pressure NOUN ispiv-148 29 14 uncertainty uncertainty NOUN ispiv-148 29 15 was be AUX ispiv-148 29 16 consistent consistent ADJ ispiv-148 29 17 with with ADP ispiv-148 29 18 the the DET ispiv-148 29 19 pressure pressure NOUN ispiv-148 29 20 error error NOUN ispiv-148 29 21 as as SCONJ ispiv-148 29 22 they they PRON ispiv-148 29 23 were be AUX ispiv-148 29 24 both both ADV ispiv-148 29 25 lowest low ADJ ispiv-148 29 26 at at ADP ispiv-148 29 27 the the DET ispiv-148 29 28 center center ADJ ispiv-148 29 29 point point NOUN ispiv-148 29 30 of of ADP ispiv-148 29 31 the the DET ispiv-148 29 32 inflow inflow NOUN ispiv-148 29 33 plane plane NOUN ispiv-148 29 34 ( ( PUNCT ispiv-148 29 35 at at ADP ispiv-148 29 36 x=0 x=0 PROPN ispiv-148 29 37 mm mm PROPN ispiv-148 29 38 and and CCONJ ispiv-148 29 39 r=0 r=0 PROPN ispiv-148 29 40 mm mm NOUN ispiv-148 29 41 ) ) PUNCT ispiv-148 29 42 where where SCONJ ispiv-148 29 43 the the DET ispiv-148 29 44 reference reference NOUN ispiv-148 29 45 pressure pressure NOUN ispiv-148 29 46 was be AUX ispiv-148 29 47 imposed impose VERB ispiv-148 29 48 . . PUNCT ispiv-148 30 1 efforts effort NOUN ispiv-148 30 2 are be AUX ispiv-148 30 3 ongoing ongoing ADJ ispiv-148 30 4 to to PART ispiv-148 30 5 estimate estimate VERB ispiv-148 30 6 the the DET ispiv-148 30 7 uncertainty uncertainty NOUN ispiv-148 30 8 of of ADP ispiv-148 30 9 pressure pressure NOUN ispiv-148 30 10 reconstructed reconstruct VERB ispiv-148 30 11 from from ADP ispiv-148 30 12 velocity velocity NOUN ispiv-148 30 13 measurements measurement NOUN ispiv-148 30 14 using use VERB ispiv-148 30 15 volumetric volumetric NOUN ispiv-148 30 16 piv piv NOUN ispiv-148 30 17 . . PUNCT ispiv-148 31 1 references reference NOUN ispiv-148 31 2 [ [ X ispiv-148 31 3 1 1 NUM ispiv-148 31 4 ] ] X ispiv-148 31 5 zhang zhang PROPN ispiv-148 31 6 j j PROPN ispiv-148 31 7 , , PUNCT ispiv-148 31 8 bhattacharya bhattacharya PROPN ispiv-148 31 9 s s PART ispiv-148 31 10 and and CCONJ ispiv-148 31 11 vlachos vlachos ADP ispiv-148 31 12 p p PROPN ispiv-148 31 13 p p NOUN ispiv-148 31 14 2020 2020 NUM ispiv-148 31 15 using use VERB ispiv-148 31 16 uncertainty uncertainty NOUN ispiv-148 31 17 to to PART ispiv-148 31 18 improve improve VERB ispiv-148 31 19 pressure pressure NOUN ispiv-148 31 20 field field NOUN ispiv-148 31 21 reconstruction reconstruction NOUN ispiv-148 31 22 from from ADP ispiv-148 31 23 piv piv PROPN ispiv-148 31 24 / / SYM ispiv-148 31 25 ptv ptv PROPN ispiv-148 31 26 flow flow NOUN ispiv-148 31 27 measurements measurement NOUN ispiv-148 31 28 exp exp X ispiv-148 31 29 . . PUNCT ispiv-148 31 30 fluids fluid VERB ispiv-148 31 31 61 61 NUM ispiv-148 31 32 1–20 1–20 NOUN ispiv-148 32 1 [ [ X ispiv-148 32 2 2 2 NUM ispiv-148 32 3 ] ] PUNCT ispiv-148 32 4 kΓ€hler kΓ€hler NOUN ispiv-148 32 5 c c PROPN ispiv-148 32 6 j j PROPN ispiv-148 32 7 , , PUNCT ispiv-148 32 8 astarita astarita PROPN ispiv-148 32 9 t t PROPN ispiv-148 32 10 , , PUNCT ispiv-148 32 11 vlachos vlachos ADP ispiv-148 32 12 p p PROPN ispiv-148 32 13 p p PROPN ispiv-148 32 14 and and CCONJ ispiv-148 32 15 sakakibara sakakibara PROPN ispiv-148 32 16 j j PROPN ispiv-148 32 17 2016 2016 NUM ispiv-148 32 18 main main ADJ ispiv-148 32 19 results result NOUN ispiv-148 32 20 of of ADP ispiv-148 32 21 the the DET ispiv-148 32 22 4th 4th ADJ ispiv-148 32 23 international international ADJ ispiv-148 32 24 piv piv NOUN ispiv-148 32 25 challenge challenge NOUN ispiv-148 32 26 exp exp PROPN ispiv-148 32 27 . . PUNCT ispiv-148 32 28 fluids fluid VERB ispiv-148 32 29 57 57 NUM ispiv-148 32 30 1–71 1–71 NOUN ispiv-148 33 1 [ [ X ispiv-148 33 2 3 3 NUM ispiv-148 33 3 ] ] PUNCT ispiv-148 33 4 sciacchitano sciacchitano NOUN ispiv-148 33 5 a a PRON ispiv-148 33 6 and and CCONJ ispiv-148 33 7 wieneke wieneke PROPN ispiv-148 33 8 b b PROPN ispiv-148 33 9 2016 2016 NUM ispiv-148 33 10 piv piv NOUN ispiv-148 33 11 uncertainty uncertainty NOUN ispiv-148 33 12 propagation propagation NOUN ispiv-148 33 13 meas mea NOUN ispiv-148 33 14 . . PUNCT ispiv-148 34 1 sci sci PROPN ispiv-148 34 2 . . PROPN ispiv-148 34 3 technol technol PROPN ispiv-148 34 4 . . PROPN ispiv-148 35 1 27 27 NUM ispiv-148 35 2 084006 084006 NUM ispiv-148 35 3 [ [ X ispiv-148 35 4 4 4 NUM ispiv-148 35 5 ] ] X ispiv-148 35 6 bhattacharya bhattacharya PROPN ispiv-148 35 7 s s PROPN ispiv-148 35 8 , , PUNCT ispiv-148 35 9 charonko charonko PROPN ispiv-148 35 10 j j PROPN ispiv-148 35 11 j j PROPN ispiv-148 35 12 and and CCONJ ispiv-148 35 13 vlachos vlachos ADP ispiv-148 35 14 p p PROPN ispiv-148 35 15 p p PROPN ispiv-148 35 16 2018 2018 NUM ispiv-148 35 17 particle particle NOUN ispiv-148 35 18 image image NOUN ispiv-148 35 19 velocimetry velocimetry NOUN ispiv-148 35 20 ( ( PUNCT ispiv-148 35 21 piv piv NOUN ispiv-148 35 22 ) ) PUNCT ispiv-148 36 1 uncertainty uncertainty NOUN ispiv-148 36 2 quantification quantification NOUN ispiv-148 36 3 using use VERB ispiv-148 36 4 moment moment NOUN ispiv-148 36 5 of of ADP ispiv-148 36 6 correlation correlation NOUN ispiv-148 36 7 ( ( PUNCT ispiv-148 36 8 mc mc NOUN ispiv-148 36 9 ) ) PUNCT ispiv-148 36 10 plane plane NOUN ispiv-148 36 11 meas mea NOUN ispiv-148 36 12 . . PUNCT ispiv-148 37 1 sci sci PROPN ispiv-148 37 2 . . PROPN ispiv-148 37 3 technol technol PROPN ispiv-148 37 4 . . PROPN ispiv-148 38 1 29 29 NUM ispiv-148 38 2 115301 115301 NUM ispiv-148 38 3 [ [ X ispiv-148 38 4 5 5 NUM ispiv-148 38 5 ] ] PUNCT ispiv-148 38 6 bhattacharya bhattacharya PROPN ispiv-148 38 7 s s PART ispiv-148 38 8 and and CCONJ ispiv-148 38 9 vlachos vlachos ADP ispiv-148 38 10 p p PROPN ispiv-148 38 11 p p NOUN ispiv-148 38 12 2020 2020 NUM ispiv-148 38 13 volumetric volumetric NOUN ispiv-148 38 14 particle particle NOUN ispiv-148 38 15 tracking tracking NOUN ispiv-148 38 16 velocimetry velocimetry NOUN ispiv-148 38 17 ( ( PUNCT ispiv-148 38 18 ptv ptv INTJ ispiv-148 38 19 ) ) PUNCT ispiv-148 38 20 uncertainty uncertainty NOUN ispiv-148 38 21 quantification quantification NOUN ispiv-148 38 22 exp exp NOUN ispiv-148 38 23 . . PUNCT ispiv-148 39 1 fluids fluid NOUN ispiv-148 39 2 61 61 NUM ispiv-148 39 3 [ [ SYM ispiv-148 39 4 6 6 NUM ispiv-148 39 5 ] ] PUNCT ispiv-148 39 6 wieneke wieneke PROPN ispiv-148 39 7 b b PROPN ispiv-148 39 8 2013 2013 NUM ispiv-148 39 9 iterative iterative NOUN ispiv-148 39 10 reconstruction reconstruction NOUN ispiv-148 39 11 of of ADP ispiv-148 39 12 volumetric volumetric ADJ ispiv-148 39 13 particle particle NOUN ispiv-148 39 14 distribution distribution NOUN ispiv-148 39 15 meas mea NOUN ispiv-148 39 16 . . PUNCT ispiv-148 40 1 sci sci PROPN ispiv-148 40 2 . . PROPN ispiv-148 40 3 technol technol PROPN ispiv-148 40 4 . . PROPN ispiv-148 41 1 24 24 NUM ispiv-148 41 2 024008 024008 NUM ispiv-148 41 3 figure figure NOUN ispiv-148 41 4 2 2 NUM ispiv-148 41 5 ( ( PUNCT ispiv-148 41 6 a a X ispiv-148 41 7 ) ) PUNCT ispiv-148 41 8 the the DET ispiv-148 41 9 streamwise streamwise NOUN ispiv-148 41 10 velocity velocity NOUN ispiv-148 41 11 field field NOUN ispiv-148 41 12 ( ( PUNCT ispiv-148 41 13 b b X ispiv-148 41 14 ) ) PUNCT ispiv-148 41 15 the the DET ispiv-148 41 16 histograms histogram NOUN ispiv-148 41 17 of of ADP ispiv-148 41 18 velocty velocty NOUN ispiv-148 41 19 error error NOUN ispiv-148 41 20 and and CCONJ ispiv-148 41 21 uncertainty uncertainty NOUN ispiv-148 41 22 ( ( PUNCT ispiv-148 41 23 c c X ispiv-148 41 24 ) ) PUNCT ispiv-148 41 25 the the DET ispiv-148 41 26 histograms histogram NOUN ispiv-148 41 27 of of ADP ispiv-148 41 28 the the DET ispiv-148 41 29 pressure pressure NOUN ispiv-148 41 30 error error NOUN ispiv-148 41 31 and and CCONJ ispiv-148 41 32 uncertainty uncertainty NOUN ispiv-148 41 33 with with ADP ispiv-148 41 34 the the DET ispiv-148 41 35 rms rm NOUN ispiv-148 41 36 values value NOUN ispiv-148 41 37 indicated indicate VERB ispiv-148 41 38 by by ADP ispiv-148 41 39 the the DET ispiv-148 41 40 vertical vertical ADJ ispiv-148 41 41 lines line NOUN ispiv-148 41 42 . . PUNCT ispiv-148 42 1 ( ( PUNCT ispiv-148 42 2 d d X ispiv-148 42 3 ) ) PUNCT ispiv-148 42 4 the the DET ispiv-148 42 5 spatial spatial ADJ ispiv-148 42 6 distributions distribution NOUN ispiv-148 42 7 of of ADP ispiv-148 42 8 the the DET ispiv-148 42 9 normalized normalize VERB ispiv-148 42 10 pressure pressure NOUN ispiv-148 42 11 error error NOUN ispiv-148 42 12 and and CCONJ ispiv-148 42 13 uncertainty uncertainty NOUN ispiv-148 42 14 . . PUNCT ispiv-148 43 1 figure figure NOUN ispiv-148 43 2 3 3 NUM ispiv-148 43 3 ( ( PUNCT ispiv-148 43 4 a a X ispiv-148 43 5 ) ) PUNCT ispiv-148 43 6 the the DET ispiv-148 43 7 histograms histogram NOUN ispiv-148 43 8 of of ADP ispiv-148 43 9 the the DET ispiv-148 43 10 normalized normalize VERB ispiv-148 43 11 errors error NOUN ispiv-148 43 12 and and CCONJ ispiv-148 43 13 uncertainties uncertainty NOUN ispiv-148 43 14 in in ADP ispiv-148 43 15 the the DET ispiv-148 43 16 velocity velocity NOUN ispiv-148 43 17 and and CCONJ ispiv-148 43 18 reconstructed reconstruct VERB ispiv-148 43 19 pressure pressure NOUN ispiv-148 43 20 fields field NOUN ispiv-148 43 21 . . PUNCT ispiv-148 44 1 the the DET ispiv-148 44 2 rms rm NOUN ispiv-148 44 3 values value NOUN ispiv-148 44 4 are be AUX ispiv-148 44 5 indicated indicate VERB ispiv-148 44 6 using use VERB ispiv-148 44 7 the the DET ispiv-148 44 8 vertical vertical ADJ ispiv-148 44 9 lines line NOUN ispiv-148 44 10 . . PUNCT ispiv-148 45 1 ( ( PUNCT ispiv-148 45 2 b b X ispiv-148 45 3 ) ) PUNCT ispiv-148 45 4 the the DET ispiv-148 45 5 spatial spatial ADJ ispiv-148 45 6 distributions distribution NOUN ispiv-148 45 7 of of ADP ispiv-148 45 8 the the DET ispiv-148 45 9 pressure pressure NOUN ispiv-148 45 10 error error NOUN ispiv-148 45 11 and and CCONJ ispiv-148 45 12 uncertainty uncertainty NOUN ispiv-148 45 13 from from ADP ispiv-148 45 14 the the DET ispiv-148 45 15 ppe ppe PROPN ispiv-148 45 16 reconstruction reconstruction NOUN ispiv-148 45 17 . . PUNCT