Direct Numerical Simulation of Turbulence using divergence-free wavelets

Erwan Deriaz (1) , Valérie Perrier (2)

1 PAN - Institut of Mathematics - Polish Academy of Sciences
2 MGMI - Modélisation Géométrique & Multirésolution pour l'Image

We present a numerical method based on divergence-free wavelets to solve the incompressible Navier-Stokes equations. We introduce a new scheme which uses anisotropic (or generalized) divergence-free wavelets and which needs only fast wavelet transform algorithms. We prove its stability and show convincing numerical experiments.

Mots clés: Navier-Stokes; wavelets; divergence-free; incompressible fluid; stability; numerical scheme

Domaines: Analyse numérique [math.NA]

Erwan Deriaz, Valérie Perrier. Direct Numerical Simulation of Turbulence using divergence-free wavelets. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2008, 7 (3), pp.1101-1129. ⟨10.1137/070701017⟩. ⟨hal-00864426⟩