Department of Numerical Mathematics Faculty of Mathematics and Physics Charles University

ALE discontinuous Galerkin simulation of compressible flow in time dependent domains

  • ID: 2521, RIV: 10071571
  • ISSN: not specified, ISBN: 80-87012-12-7
  • source: Flow Induced Vibration
  • keywords: ALE method; discontinuous Galerkin method; numerical simulation; compressible flow; time dependent domains
  • authors: Miloslav Feistauer, Václav Kučera, Jaroslava Prokopová
  • authors from KNM: Feistauer Miloslav, Kučera Václav


This work is concerned with the numerical solution of inviscid compressible fluid flow through a channel with moving walls. We present two formulations of the Euler equations describing compressible flow in the ALE (Arbitrary Lagrangian-Eulerian) form. These two formulations are discretized in space by the discontinuous Galerkin method. The time discretization is carried out with the aid of a semi-implicit linearized scheme resulting in only one linear system on each time level. Currently, the motion of the wall is prescribed by a given formula. As an example we present here the flow simualtion in a channel with a pulsation sinusoidal bump at the lower wall.