Discontinuous Galerkin method for the problem of linear elasticity with applications to the fluid-structure interaction

• ID: 2587, RIV: 10145821
• ISSN: 0094-243X, ISBN: 978-0-7354-1184-5
• source: 11th International Conference of Numerical Analysis and Applied Mathematics 2013
• keywords: discontinuous Galerkin method; static and dynamic linear elasticity; finite element mesh deformation
• authors: Martin Hadrava, Miloslav Feistauer, Adam Kosík, Jaromír Horáček
• authors from KNM: Feistauer Miloslav

Abstract

The paper is concerned with the numerical solution of static and dynamic elasticity problems. The purpose of this subject is the computation of the so-called ALE mapping (representing the mesh deformation) in the solution of flow in time-dependent domains and the computation of the time-dependent deformation of an elastic body. These two problems represent important ingredients in the fluid-structure interaction (FSI). They are discretized by the discontinuous Galerkin method (DGM). Here we describe the method and present some test problems. The developed method is applied to the FSI problem.