Discretization of the viscous dissipation term with the MAC scheme

Abstract

We propose a discretization for the MAC scheme of the viscous dissipation term τ(u): Δu (where τ(u) stands for the shear stress tensor associated to the velocity field u), which is suitable to obtain an unconditionally stable scheme for the compressible Navier-Stokes equations. It is also shown, in some model cases, to ensure the strong convergence in L1 of the dissipation term. © Springer-Verlag Berlin Heidelberg 2011.