hp-discontinuous Galerkin method for compressible flows

• ID: 2620, RIV: 10106448
• ISSN: not specified, ISBN: 978-80-7372-724-6
• source: International Conference Presentation of Mathematics '10
• keywords: hp-discontinuous Galerkin method; compressible flow
• authors: Vít Dolejší
• authors from KNM: Dolejší Vít

Abstract

The paper deals with a numerical solution of the compressible Navier-Stokes equations with the aid of the high order discontinuous Galerkin finite element method (DGFEM). In order to increase the accuracy and the efficiency of this approach, we develop a new hp-adaptation technique, which is based on a combination of an error indicator and a regularity estimator.