Discontinuous Galerkin method - a robust solver for compressible flow - Science

Discontinuous Galerkin method - a robust solver for compressible flow

ID: 2599, RIV: 10130185
ISSN: 1612-2909, ISBN: 978-3-642-33220-3
source: Recent Development in the Numerics of Nonlinear Hyperbolic Conservation Laws
keywords: discontinuous Galerkin method; robust solver for compressible flow; fluid-structure interaction; low Mach number flows; high-speed flow
authors: Miloslav Feistauer, Jan Česenek, Václav Kučera
authors from KNM: Feistauer Miloslav, Kučera Václav

Abstract

The subject of the paper is the numerical simulation of inviscid and viscous compressible flow in time dependent domains. The motion of the boundary of the domain occupied by the fluid is taken into account with the aid of the ALE (Arbitrary Lagrangian-Eulerian) formulation of the Euler and Navier-Stokes equations describing compressible flow. They are discretized in space by the discontinuous Galerkin (DG) finite element method using piecewise polynomial discontinuous approximations. For the time discretization BDF method or DG in time is used. Moreover, we use a special treatment of boundary conditions and shock capturing, allowing the solution of flow with a wide range of Mach numbers. As a result we get an efficient and robust numerical process. We show that the method allows to solve numerically the flow with practically all Mach numbers and that it is applicable to the solution of practically relevant problems of flow induced airfoil vibrations.