Using divergence-free and curl-free wavelets for the simulation of turbulent flows

Valérie Perrier (1)

1 MGMI - Modélisation Géométrique & Multirésolution pour l'Image

We present a numerical method based on divergence-free and curl-free wavelets to solve the incompressible Navier-Stokes equations. We introduce a new scheme which uses anisotropic divergence-free wavelets for the decomposition of the velocity, and which only needs Fast Wavelet Transform algorithms. Numerical results finally show the feasibility of the method.

Domaines: Analyse numérique [math.NA]

Valérie Perrier. Using divergence-free and curl-free wavelets for the simulation of turbulent flows. ICIAM 2007 - 6th International Congress on Industrial and Applied Mathematics, Jul 2007, Zürich, Switzerland. ⟨hal-00875005⟩