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Subgrid scale formulation of optical flow for the study of turbulent flow

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Abstract

We propose a new formulation of optical flow in the case of passive scalar or solid particles spreading in turbulent flows. The flow equation is defined from the scalar transport equation and a decomposition of our physical quantities (velocity and concentration fields) into two contributions, large and small scales, to account for the lack of spatial resolution in processed images. A subgrid scale model is introduced to model the small scale contribution. Comparisons are made with existing optical flow methods and Particle Image Velocimetry on synthetic and real sequences. The improvement of the estimation of velocity field by the proposed formulation is discussed in the case of a scalar turbulent propagation.

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Acknowledgments

The authors wish to thank the team of the European project Fluid in Rennes. Especially, Johan Carlier for giving us the DNS scalar synthetic sequence and Thomas Corpetti for providing us the estimated fields of his OF algorithm for this DNS sequence. This work is partially supported by the 863 program of the Chinese Ministry of Science and Technology and by Tandem - Erasmus Mundus Program.

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Authors and Affiliations

  1. Laboratory of Turbulence, Tsinghua University, Beijing, China

    C. Cassisa

  2. Laboratory of Fluid Mechanics and Acoustics, CNRS UMR 5509, Ecole Centrale de Lyon, Ecully, France

    S. Simoens & L. Shao

  3. National Laboratory of Pattern Recognition, Institute of Automation, Chinese Academy of Sciences, Beijing, China

    V. Prinet

Authors
  1. C. Cassisa
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  2. S. Simoens
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  3. V. Prinet
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  4. L. Shao
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Correspondence to C. Cassisa.

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Cassisa, C., Simoens, S., Prinet, V. et al. Subgrid scale formulation of optical flow for the study of turbulent flow. Exp Fluids 51, 1739–1754 (2011). https://doi.org/10.1007/s00348-011-1180-5

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  • DOI: https://doi.org/10.1007/s00348-011-1180-5

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