Optical flow for incompressible turbulence motion estimation
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.
KeywordsVelocity Field Particle Image Velocimetry Large Eddy Simulation Optical Flow Regularization Term
This work is supported by the National Natural Science Foundation of China (51420105008) and Xu Chen is sponsored by the China Scholarship Council.
- Bardina J, Ferziger J, Reynold W (1980) Improved subgrid-scale models for large-eddy simulation. In: American institute of aeronautics and astronautics, fluid and plasma dynamics conference, 13th, Snowmass, Colo., July 14–16, 1980, 10 p., vol 1Google Scholar
- Bardina J, Ferziger J, Reynold W (1983) Improved turbulence models based on large eddy simulation of homogeneous, incompressible turbulent flows. Stanford Univ, Report 1Google Scholar
- Brox T, Bruhn A, Papenberg N, Weickert J (2004) High accuracy optical flow estimation based on a theory for warping. Springer, Berlin, pp 25–36Google Scholar
- Carlier J, Wieneke B (2005) Report 1 on production and diffusion of fluid mechanics images and data. fluid project deliverable 1.2. European ProjectFluid image analisys and description(FLUID)-http://www fluid irisa fr 47Google Scholar
- Deriche R (1993) Recursively implementating the Gaussian and its derivatives, Research report 1893, INRIA, FranceGoogle Scholar
- Guichard F, Rudin L (1996) Accurate estimation of discontinuous optical flow by minimizing divergence related functionals. In: image processing, 1996. Proceedings., international conference on, IEEE, vol 1, pp 497–500Google Scholar
- Kolmogorov AN (1941) The local structure of turbulence in incompressible viscous fluid for very large reynolds numbers. In: Dokl. Akad. Nauk SSSR, vol 30, pp 299–303Google Scholar
- Sagaut P (2000) Large eddy simulation for incompressible flows, vol 3. Springer, BerlinGoogle Scholar