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 Citations (Scopus)

4 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
Issue number	5
Early online date	5 Sept 2022
DOIs	https://doi.org/10.1007/s11600-022-00901-9
Publication status	Published - 1 Oct 2022

Bibliographical 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.

Keywords

Particle image velocimetry
Measurement error
Open channel flow
Velocity measurement

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Cite this

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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.",

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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

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DO - 10.1007/s11600-022-00901-9

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SP - 2379

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JO - Acta Geophysica

JF - Acta Geophysica

IS - 5

ER -

Theoretical description of PIV measurement errors

Abstract

Bibliographical note

Keywords

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