Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

Matching pursuit with POD modes dictionaries in the analysis of 2D turbulence signals and images

Ch.H. Bruneau, P. Fischer, Z. Peter*, A. Yger
Institut de Mathématiques de Bordeaux, Université Bordeaux 1, 351 cours de la Libération, 33405 Talence, France
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ABSTRACT
This paper is devoted to decomposition-reconstruction methods in the analysis of turbulence data, issued from a Direct Numerical Simulation of the two-dimensional Navier-Stokes equations. The Proper Orthogonal Decomposition (POD) method, based on the Hilbert-Schmidt theory, will be combined with the matching pursuit algorithm in order to localize the turbulent flow patterns that are coherents with a particular dictionary.

Keywords:  2D turbulence; Matching pursuit algorithm; Proper orthogonal decomposition
* Corresponding author. Tel.: +33 (5) 40 00 2175; Fax: +33 (5) 40 00 2626; E-mail: peter@math.u-bordeaux1.fr