Publication at Faculty of Mathematics and Physics |
2010
Abstract
This paper is concerned with the numerical treatment of convection-diffusion problems in time-dependent domains. A suitable formulation of the governing equations is derived using the Arbitrary Lagrangian-Eulerian (ALE) method.
The equations are then discretized in space using the discontinuous Galerkin method. The resulting space-semidiscretization scheme is numerically tested on the compressible Navier-Stokes equations describing the flow of viscous gases.
The particular form of these equations allows the use of a semi-implicit time discretization, which has already been extensively studied in the case of stationary computational domains.