Fluid flow and optical flow

The connection between fluid flow and optical flow is explored in typical flow visualizations to provide a rational foundation for application of the optical flow method to image-based fluid velocity measurements. The projected-motion equations are derived, and the physics-based optical flow equatio...

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Bibliographic Details
Published in:Journal of fluid mechanics 2008-11, Vol.614, p.253-291
Main Authors: LIU, TIANSHU, SHEN, LIXIN
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fluid dynamics
Fluid flow
Fundamental areas of phenomenology (including applications)
Instrumentation for fluid dynamics
Mechanical engineering
Optics
Physics
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Summary:The connection between fluid flow and optical flow is explored in typical flow visualizations to provide a rational foundation for application of the optical flow method to image-based fluid velocity measurements. The projected-motion equations are derived, and the physics-based optical flow equation is given. In general, the optical flow is proportional to the path-averaged velocity of fluid or particles weighted with a relevant field quantity. The variational formulation and the corresponding Euler–Lagrange equation are given for optical flow computation. An error analysis for optical flow computation is provided, which is quantitatively examined by simulations on synthetic grid images. Direct comparisons between the optical flow method and the correlation-based method are made in simulations on synthetic particle images and experiments in a strongly excited turbulent jet.
ISSN:0022-1120
1469-7645
DOI:10.1017/S0022112008003273