Two dimensional simulation of fluid-structure interaction using DGFEM Equations

Abstract

This paper deals with the numerical simulation of the °uid-structure interaction of compressible °ow with an elastic body. The work was motivated by the vibrations of human vocal folds during phonation onset. The fluid part of the problem is represented by the Navier-Stokes equations written in the ALE form. It allows us to treat the time dependence of the computational domain using the ALE (Arbitrary Lagrangian-Eulerian) method. The deformation of the elastic body is described by the linear dynamical elasticity equations. Both these system are coupled by the transmission conditions. The space-discretization of the fluid problem was carried out by the discontinuous Galerkin Finite element method (DGFEM) and for the time-discretization the backward difference formula (BDF) was used. The structural problem was discretized by the conforming finite element method and the Newmark method. The results present the applicability of the method and compare two di®erent developed couplings.