Discontinuous Galerkin method for coupled problems of compressible flow and elastic structures

• ID: 2612, RIV: 10145817
• ISSN: 0094-243X, ISBN: 978-0-7354-1184-5
• source: 11th International Conference of Numerical Analysis and Applied Mathematics 2013
• keywords: discontinuous Galerkin method; compressible viscous flow; fluid-structure interaction
• authors: Adam Kosík, Miloslav Feistauer, Martin Hadrava, Jaromír Horáček
• authors from KNM: Feistauer Miloslav

Abstract

This paper is concerned with the numerical simulation of the interaction of 2D compressible viscous flow and an elastic structure. Each individual problem is discretized in space by the discontinuous Galerkin method (DGM). For the time discretization we can use either the BDF (backward difference formula) method or also the DGM. The time dependence of the domain occupied by the fluid is given by the deformation of the elastic structure adjacent to the flow domain. It is treated with the aid of the arbitrary Lagrangian-Eulerian (ALE) method. The fluid-structure interaction, given by transient conditions, is realized by an iterative process. The developed method is applied to the simulation of the biomechanical problem containing the onset of the voice production.