On the Application of Acoustic Analogies in the Numerical Simulation of Human Phonation Process

Abstract

This paper deals with the numerical simulation of the flow induced sound as generated in the human phonation process. The two-dimensional fluid-structure interaction problem is modeled with the aid of linear elastic problem coupled to the incompressible Navier-Stokes equations in the arbitrary Lagrangian-Eulerian form. For calculation of sound sources and its propagation the Lighthill acoustic analogy is used. This approach is compared to the Perturbed Convective Wave Equation method. All partial differential equations, describing the elastic body motion, the fluid flow and the acoustics, are solved by applying the finite element method. In order to overcome numerical instabilities in the Navier-Stokes equations arising due to high Reynolds numbers, the modified streamline-upwind/Petrov-Galerkin stabilization is used. The implemented iterative coupling procedure is described. Numerical results are presented.