A block structured Low Mach Number MPV scheme for heterogeneous domain decomposition

This paper is concerned with heterogeneous domain decomposition for semi-implicit Low Mach number schemes. The actual scheme is the Multiple Pressure Variables (MPV) scheme, which can be applied for a large range of Low Mach Number flows, ranging from natural convection flows with large temperature and density changes to aero-acoustics with...

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...

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...