Discontinuous Galerkin method for coupled problems of compressible flow and elastic structures
Abstract
This paper is concerned with the numerical simulation of the interaction of 2D compressible viscous flow and an elastic structure. We consider the model of dynamical linear elasticity. 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 LagrangianEulerian (ALE) method. The fluidstructure 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.
 Publication:

11th International Conference of Numerical Analysis and Applied Mathematics 2013: ICNAAM 2013
 Pub Date:
 October 2013
 DOI:
 10.1063/1.4826011
 Bibcode:
 2013AIPC.1558.2344K