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Fluid flow and optical flow

Published online by Cambridge University Press:  16 October 2008

TIANSHU LIU  and
LIXIN SHEN
TIANSHU LIU
Affiliation:
Department of Mechanical and Aeronautical Engineering, Western Michigan University, Kalamazoo, MI 49008, USAtianshu.liu@wmich.edu
LIXIN SHEN
Affiliation:
Department of Mathematics, Syracuse University, Syracuse, NY 13244, USAlshen03@syr.edu
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Abstract

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.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 614 , 10 November 2008 , pp. 253 - 291
Copyright
Copyright © Cambridge University Press 2008

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