The Interaction of Compressible Flow and Elastic Structure Using Discontinuous Galerkin Method

• ID: 2686, RIV: 10284396
• ISSN: not specified, ISBN: 978-3-319-10704-2
• source: Numerical Mathematics and Advanced Applications - ENUMATH 2013
• keywords: Space-time discontinuous Galerkin method; linear elasticity; fluid-structure interaction; vocal folds
• authors: Adam Kosík, Miloslav Feistauer, Martin Hadrava, Jaromír Horáček
• authors from KNM: Feistauer Miloslav

Abstract

In this paper we are concerned with the numerical simulation of the interaction of fluid flow and an elastic structure in a 2D domain. For each individual problem we employ the discretization by the discontinuous Galerkin finite element method (DGM). We describe the application of the DGM to the problem of compressible fluid flow in a time-dependent domain and also to the dynamic problem of the deformation of an elastic body. Finally, we present our approach to the coupling of these two independent problems: both are solved separately at a given time instant, but we require the approximate solutions to satisfy certain transient conditions. These transient conditions are met through several inner iterations. In each iteration a calculation of both the elastic body deformation problem and the problem of the compressible fluid flow is performed.