Simulation of Interaction of Compressible Flow with Elastic Structures with Applications to Vibrations of Human Vocal Folds

Abstract

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 aeroelastc 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.