Numerical Simulations of the Navier-Stokes Problem with Hyper Dissipation

Manouzi, H.
Departement of Mathematics and Statistic, Université Laval University, Quebec, Canada

This paper proposes a numerical simulation of the incompressible viscous flows with hyper dissipation using FEMLAB.

We propose two variational formulations to solve this problem: the primal and the mixed formulations. For the first one, a biharmonic formulation for the velocity and the pressure is used. The second one uses a mixed formulation where the laplacian of the velocity, the velocity and the pressure are the most relevant unknowns.