Extraction of coherent vortex tubes in a 3D turbulent mixing layer using orthogonal wavelets

  • Kai Schneider
  • Marie Farge
Conference paper
Part of the Fluid Mechanics and Its Applications book series (FMIA, volume 71)


We present a new technique to extract coherent vortex tubes out of turbulent flows. The method is based on an orthogonal vector-valued wavelet decomposition of the vorticity field using the fast wavelet transform. A nonlinear thresholding of the wavelet coefficients is applied, where the threshold depends on the Reynolds number and on the total enstrophy of the flow, only. The coherent vortex tubes are reconstructed from the strong wavelet coefficients while the remaining weak coefficients correspond to an incoherent background flow. As example we present an application of this method to a turbulent mixing layer computed by high resolution direct numerical simulation. We find that only few wavelet coefficients are necessary to represent the coherent vortex tubes of the flow. The incoherent background flow reconstructed from the remaining weak coefficients is structureless and exhibits an energy equipartition.


Wavelet Coefficient Vortex Tube Vorticity Field Orthogonal Wavelet Coherent Vortex 
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Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Kai Schneider
    • 1
  • Marie Farge
    • 2
  1. 1.Centre de Mathématiques et d’InformatiqueUniversité de ProvenceMarseille Cedex 13France
  2. 2.LMD-CNRS, Ecole Normale Supérieure, ParisParis Cedex 9France

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