Experiments in Fluids

, 56:8 | Cite as

Optical flow for incompressible turbulence motion estimation

  • Xu Chen
  • Pascal Zillé
  • Liang Shao
  • Thomas Corpetti
Research Article


We propose in this paper a new formulation of optical flow dedicated to 2D incompressible turbulent flows. It consists in minimizing an objective function constituted by an observation term and a regularization one. The observation term is based on the transport equation of the passive scalar field. For non-fully resolved scalar images, we propose to use the mixed model in large eddy simulation to determine the interaction between large scales and unresolved ones. The regularization term is based on the continuity equation of 2D incompressible flows. Compared to prototypical method, this regularizer preserves more vortex structures by eliminating constraints over the vorticity field. The evaluation of the proposed formulation is done over synthetic and experimental images, and the improvements in term of estimation are discussed.


Velocity Field Particle Image Velocimetry Large Eddy Simulation Optical Flow Regularization Term 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



This work is supported by the National Natural Science Foundation of China (51420105008) and Xu Chen is sponsored by the China Scholarship Council.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Xu Chen
    • 1
  • Pascal Zillé
    • 1
  • Liang Shao
    • 1
  • Thomas Corpetti
    • 2
  1. 1.Laboratoire de Mécanique des Fluides et d’AcoustiqueLyonFrance
  2. 2.Laboratoire COSTEL UMR 6554 LETGRennesFrance

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