IPG discretizations of the compressible Navier-Stokes equations

Abstract

We deal with the numerical solution of the system of the compressible (laminar) Navier-Stokes equations with the aid of the discontinuous Galerkin method. Particularly, we employ the so-called interior penalty Galerkin (IPG) discretizations, namely symmetric, non-symmetric and incomplete variants. We described the space semi-discretization and discuss the choice of stabilization terms. Then a set of numerical experiments, demonstrating the stability, convergence and accuracy of the method are presented. © 2010 Springer-Verlag Berlin Heidelberg.