Department of Numerical Mathematics Faculty of Mathematics and Physics Charles University

Simulation of interaction of compressible flow with elastic structures with applications to vibrations of human vocal folds

  • ID: 2577, RIV: 10103881
  • ISSN: not specified, ISBN: 978-0-7354-0956-9
  • source: Numerical Analysis and Applied Mathematics ICNAAM 2011
  • keywords: compressible flow; elastic structures; vibrations; human vocal folds
  • authors: Miloslav Feistauer, Adam Kosík, Václav Kučera, Jaroslava Prokopová, Jaromír Horáček
  • authors from KNM: Feistauer Miloslav, Kučera Václav


The paper is concerned with the numerical solution of interaction of compressible flow with elastic structures. The aim of this work is the simulation of air flow in human vocal folds during phonation. The compressible Navier-Stokes equations written in the ALE form, equipped with initial and boundary conditions, are discretized by the discontinuous Galerkin finite element method. The deformation of an elastic body, caused by aeroelastic forces, is described by the dynamical elasticity equations. This system is discretized with the aid of the conforming finite element method. The coupling of the flow and elastic structures is carried out via transmission conditions on a common part of the boundary. The developed method is applied to the simulation of flow induced vibrations of vocal folds during phonation. The results of numerical experiments are presented.