2021

The goal of this paper is the numerical simulation of vocal folds vibration excited by compressible viscous flow. It is necessary to describe the flow by the compressible Navier-Stokes equations in a time-dependent domain, solved by the ALE method.

The vibrations of the vocal folds are modelled by the nonlinear dynamic St. Venant-Kirchhoff elasticity theory.

For the flow problem we employ the discretization by the space-time discontinuous Galerkin method (STDGM) and for the elasticity problem the backward difference formula in time and discontinuous Galerkin method in space (BDF-DGM). The flow and elasticity problems are strongly coupled.

We show that it is more appropriate to use the nonlinear elasticity model in contrast to linear elasticity model.