Theoretical description of PIV measurement errors

Stuart Cameron

doi:10.1007/s11600-022-00901-9

Theoretical description of PIV measurement errors

Stuart Cameron^* (Corresponding Author)

^*Corresponding author for this work

Engineering

Research output: Contribution to journal › Article › peer-review

2 Downloads (Pure)

Abstract

Expressions for particle image velocimetry (PIV) mean error and error variance are derived for iterative deformation method algorithms. The analytical expressions explicitly account for the role of in- and out-of-plane displacements, displacement gradients, particle image diameter, fill factor of the imaging sensor, image noise, light sheet intensity distribution, seeding particle concentration, the interpolation function used to deform PIV images, and the interrogation window size and weighting window. The newly derived analytical expressions show good agreement with errors estimated using synthetic image sets.

Original language	English
Pages (from-to)	2379–2387
Number of pages	9
Journal	Acta Geophysica
Volume	70
Early online date	5 Sep 2022
DOIs	https://doi.org/10.1007/s11600-022-00901-9
Publication status	Published - 1 Oct 2022

Keywords

Particle image velocimetry
Measurement error
Open channel flow
Velocity measurement

Access to Document

10.1007/s11600-022-00901-9Licence: CC BY

Cameron_Theoretical_description_of_VOR
This article is licensed under a Creative Commons Attri- bution 4.0 International License, which permits use, sharing, adapta- tion, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Final published version, 1.28 MBLicence: CC BY

Cite this

@article{fe13281959f440cea20d63fe32eb278e,

title = "Theoretical description of PIV measurement errors",

abstract = "Expressions for particle image velocimetry (PIV) mean error and error variance are derived for iterative deformation method algorithms. The analytical expressions explicitly account for the role of in- and out-of-plane displacements, displacement gradients, particle image diameter, fill factor of the imaging sensor, image noise, light sheet intensity distribution, seeding particle concentration, the interpolation function used to deform PIV images, and the interrogation window size and weighting window. The newly derived analytical expressions show good agreement with errors estimated using synthetic image sets.",

keywords = "Particle image velocimetry, Measurement error, Open channel flow, Velocity measurement",

author = "Stuart Cameron",

note = "The study has been supported by three UKRI grants,{"}Bed friction in rough-bed free-surface flows: a theoretical framework, roughness regimes, and quantification{"} (EPSRC EP/ K041088/1); {"}Secondary currents in turbulent flows over rough walls{"} (EPSRC EP/V002414/1); and {"}Field Stereoscopic Particle Image Velocimetry (FSPIV) system for high-resolution in-situ studies of freshwater and marine ecosystems{"} (NERC NE/T009004/1). Thanks to Professor Vladimir Nikora for his helpful comments on the final draft of this manuscript.",

year = "2022",

month = oct,

day = "1",

doi = "10.1007/s11600-022-00901-9",

language = "English",

volume = "70",

pages = "2379–2387",

journal = "Acta Geophysica",

issn = "0001-5725",

publisher = "Polska Akademia Nauk",

}

TY - JOUR

T1 - Theoretical description of PIV measurement errors

AU - Cameron, Stuart

N1 - The study has been supported by three UKRI grants,"Bed friction in rough-bed free-surface flows: a theoretical framework, roughness regimes, and quantification" (EPSRC EP/ K041088/1); "Secondary currents in turbulent flows over rough walls" (EPSRC EP/V002414/1); and "Field Stereoscopic Particle Image Velocimetry (FSPIV) system for high-resolution in-situ studies of freshwater and marine ecosystems" (NERC NE/T009004/1). Thanks to Professor Vladimir Nikora for his helpful comments on the final draft of this manuscript.

PY - 2022/10/1

Y1 - 2022/10/1

N2 - Expressions for particle image velocimetry (PIV) mean error and error variance are derived for iterative deformation method algorithms. The analytical expressions explicitly account for the role of in- and out-of-plane displacements, displacement gradients, particle image diameter, fill factor of the imaging sensor, image noise, light sheet intensity distribution, seeding particle concentration, the interpolation function used to deform PIV images, and the interrogation window size and weighting window. The newly derived analytical expressions show good agreement with errors estimated using synthetic image sets.

AB - Expressions for particle image velocimetry (PIV) mean error and error variance are derived for iterative deformation method algorithms. The analytical expressions explicitly account for the role of in- and out-of-plane displacements, displacement gradients, particle image diameter, fill factor of the imaging sensor, image noise, light sheet intensity distribution, seeding particle concentration, the interpolation function used to deform PIV images, and the interrogation window size and weighting window. The newly derived analytical expressions show good agreement with errors estimated using synthetic image sets.

KW - Particle image velocimetry

KW - Measurement error

KW - Open channel flow

KW - Velocity measurement

U2 - 10.1007/s11600-022-00901-9

DO - 10.1007/s11600-022-00901-9

M3 - Article

VL - 70

SP - 2379

EP - 2387

JO - Acta Geophysica

JF - Acta Geophysica

SN - 0001-5725

ER -

Theoretical description of PIV measurement errors

Abstract

Keywords

Access to Document

Fingerprint

Cite this