Symmetry-preserving discretization of the incompressible Navier-Stokes equations

We propose to discretize the convective and diffusive operators in the (incom- pressible) Navier-Stokes equations in such a manner that their symmetries are preserved. The resulting spatial discretization inherits all symmetry-related conservation and stability properties from the continuous formulation. In particularly, a symmetry-preserving...

Regularization models for the simulation of turbulence in a differentially heated cavity

Since direct numerical simulations (DNS) of natural convection in a differentially heated cavity can not be performed at high Ra-numbers, a dynamically less complex mathematical formulation is sought. In the quest for such a formulation, we consider regularizations (smooth approximations) of the nonlinearity. The regularization method basically...