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Multiscale numerical method for nonlinear Maxwell equations
Multiresolution analysis for 2D turbulence. Part 1: Wavelets vs cosine packets, a comparative study
| 1. | Université Bordeaux 1, IMB, CNRS UMR 5466, INRIA projet MC2, 351, Cours de la Libération, 33405 Talence Cedex, France |
Multiresolution methods like the wavelet packets or the cosine packets, well known in signal decomposition, can be used for the 2D turbulence analysis. Wavelet or cosine decompositions are more and more used in physical applications and in particular in fluid mechanics. Following the works of M. Farge et al , we present a numerical and qualitative study of a two-dimensional turbulence fluid using these methods. The decompositions allow to separate the fluid in two parts which are analyzed and the corresponding energy spectra are computed. In the first part of this paper, the methods are presented and the numerical results are briefly compared to the theoretical spectra predicted by the both theories. A more detailed study, using only wavelet packets decompositions and based on numerical and experimental data, will be carried out and the results will be reported in the second part of the paper. A tentative of physical interpretation of the different components of the flow will be also proposed.
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