13th International Workshop on Variational Multiscale and Stabilized Finite Elemements (VMS 18) - Abstract

Lube, Gert

0:On the hypotheses of Boussinesq and Onsager and the

The Boussinesq hypothesis basically tells us that the Reynolds stress tensor is positive definite in the mean, at least under certain smoothness assumptions of the solutions of the incompressible Navier--Stokes problem. The Onsager hypothesis shows that a certain minimal smoothness of the solutions is required. The proof relies on the Reynolds stress tensor. We will show for two cases that implicit LES within a hybrid H(div)-conforming dG-FEM can provide a reasonable approximation of the Reynolds stress tensor.