Discontinuous Galerkin Method for the Solution of Fluid-Structure Interaction Problems with Applications to the Vocal Folds Vibration

0538968 - ÚT 2021 RIV SG eng C - Konferenční příspěvek (zahraniční konf.)
Balázsová, M. - Feistauer, M. - Horáček, Jaromír - Kosík, A.
Discontinuous Galerkin Method for the Solution of Fluid-Structure Interaction Problems with Applications to the Vocal Folds Vibration.
Proceedings of the 14th International conference on vibration problems. ICOVP 2019. Singapur: Springer, 2020, s. 401-419. Lecture Notes in Mechanical Engineering. ISBN 978-981-15-8048-2. ISSN 2195-4356. E-ISSN 2195-4364.
[International conference on vibration problems. ICOVP 2019 /14./. Hersonissos (GR), 01.09.2019-04.09.2019]
Grant CEP: GA ČR(CZ) GA19-04477S
Institucionální podpora: RVO:61388998
Klíčová slova: fluid-structure interaction * compressible flow * dynamic elasticity * time-dependent domain * ALE method * St. Venant-Kirchhoff model * vibrations of elastic structures * simulation of vocal fold vibration
Obor OECD: Acoustics

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.
Trvalý link: http://hdl.handle.net/11104/0316979