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 |
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Pages (from-to) | 2379–2387 |
Number of pages | 9 |
Journal | Acta Geophysica |
Volume | 70 |
Issue number | 5 |
Early online date | 5 Sept 2022 |
DOIs | |
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