Topical Problems of Fluid Mechanics


Institute of Thermomechanics AS CR, v.v.i.	CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics	MIO Université du Sud Toulon Var - AMU - CNRS - IRD	Czech Pilot centre ERCOFTAC

The Application of Lighthill Analogy on the Numerical Simulation of Human Phonation
J. Valášek, M. Kaltenbacher, P. Sváček
Abstract:
This paper deals with the numerical simulation of the flow induced sound as generated in the human phonation process. The partitioned approach is used for solving the fluid-structure interaction, whereas the acoustic part is only weakly coupled. The two-dimensional fluid-structure interaction problem is modelled with the aid of linear elasticity theory and by the incompressible Navier-Stokes equations in the arbitrary Lagrangian-Eulerian form. For calculation of sound sources and its propagation the inhomogeneous wave equation of Lighthill is applied and solved by the finite element method. Further, the numerical model based on finite element method is described for the elastic body motion, the fluid flow and the acoustics. In order to overcome numerical instabilities arising due to high Reynolds numbers, the modified streamline-upwind/Petrov-Galerkin stabilization is used. Finally, the implemented iterative coupling procedure is explained and numerical results are presented.
Keywords:
fluid-structure interaction, 2D Navier-Stokes equations, linear elasticity, aeroacoustic analogies, perfectly matched layer

Fulltext: PDF DOI: https://doi.org/10.14311/TPFM.2017.038

In Proceedings Topical Problems of Fluid Mechanics 2017, Prague, 2017 Edited by David Šimurda and Tomáš Bodnár, pp. 303-312 ISBN 978-80-87012-61-1 (Print) ISSN 2336-5781 (Print)