Semi-implicit discontinuous Galerkin method for the solution of the compressible Navier-Stokes equations

We deal with a numerical solution of the compressible Navier-Stokes equations with the aid of higher order schemes. We employ a combination of the discontinuous Galerkin finite element method for the space semi-discretization and a backward difference formula for the time discretization. Moreover, using a linearization of inviscid as well as...

Numerical schemes for compressible flow with all Mach numbers

This work is concerned with the numerical solution of an inviscid compressible flow. Our goal is to develop a sufficiently accurate and robust method allowing the solution of problems with a wide range of Mach numbers. The main ingredients are the discontinuous Galerkin finite element method (DGFEM), semi-implicit time stepping, special...