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June  2007, 7(4): 717-734. doi: 10.3934/dcdsb.2007.7.717

Multiresolution analysis for 2D turbulence. part 2: A physical interpretation

Patrick Fischer 1, , Charles-Henri Bruneau 1, and  Hamid Kellay 2,

1. 

Université Bordeaux 1, IMB, CNRS UMR 5466, INRIA projet MC2, 351, Cours de la Libération, 33405 Talence Cedex, France
2. 

Université Bordeaux 1, CPMOH, CNRS UMR 5798, 351, Cours de la Libération, 33405 Talence Cedex, France

Received  July 2006 Revised  December 2006 Published  March 2007

Multiresolution methods such as the wavelet packets or the cosine packets are more and more used in physical applications and in particular in two-dimensional turbulence. The numerical results of the first part of this paper have shown that the wavelet packets decomposition is well suited for studying this kind of problem: the visualization of the vorticity field is better, without any artefacts, than the visualization with the cosine packets filtering. The current second part of the paper is devoted to the physical interpretation of the filtered fields obtained in the first part. Energy and enstrophy spectra as well as energy and enstrophy fluxes are computed to determine the role of each filtered field with respect to the cascades.
Keywords: Wavelets, 2D turbulence..
Mathematics Subject Classification: 65T60,76F6.
Citation: Patrick Fischer, Charles-Henri Bruneau, Hamid Kellay. Multiresolution analysis for 2D turbulence. part 2: A physical interpretation. Discrete & Continuous Dynamical Systems - B, 2007, 7 (4) : 717-734. doi: 10.3934/dcdsb.2007.7.717
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