Wavelets meet Burgulence: CVS-filtered Burgers equation

Romain Nguyen van yen, Marie Farge, Dmitry Kolomenskiy, Kai Schneider, Nick Kingsbury

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

Numerical experiments with the one-dimensional inviscid Burgers equation show that filtering the solution at each time step in a way similar to CVS (Coherent Vortex Simulation) gives the solution of the viscous Burgers equation. The CVS filter used here is based on a complex-valued translation-invariant wavelet representation of the velocity, from which one selects the wavelet coefficients having modulus larger than a threshold whose value is iteratively estimated. The flow evolution is computed from either deterministic or random initial conditions, considering both white noise and Brownian motion.

Original languageEnglish
Pages (from-to)2151-2157
Number of pages7
JournalPhysica D: Nonlinear Phenomena
Volume237
Issue number14-17
DOIs
Publication statusPublished - 15 Aug 2008
Externally publishedYes

Keywords

  • Burgers equation
  • Coherent vortex simulation
  • Wavelets

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