ALE Space-Time Discontinuous Galerkin Method for the Interaction of Compressible Flow with Linear and Nonlinear Dynamic Elasticity and Applications to Vocal Fold Vibrations

0547975 - ÚT 2022 RIV DE eng C - Conference Paper (international conference)
Feistauer, M. - Balázsová, M. - Horáček, Jaromír
ALE Space-Time Discontinuous Galerkin Method for the Interaction of Compressible Flow with Linear and Nonlinear Dynamic Elasticity and Applications to Vocal Fold Vibrations.
Lecture Notes in Computational Science and Engineering. Vol. 139. Berlin: Springer, 2021 - (Vermolen, F.; Vuik, C.), s. 409-418. 139. ISBN 978-30-305-5873-4. ISSN 1439-7358.
[Numerical Mathematics and Advanced Applications, ENUMATH 2019. Egmond aan Zee (NL), 30.09.2019-04.10.2019]
R&D Projects: GA ČR(CZ) GA19-04477S
Institutional support: RVO:61388998
Keywords : Galerkin methods * linear and nonlinear elasticity * vocal fold vibrations
OECD category: Acoustics
https://link.springer.com/chapter/10.1007/978-3-030-55874-1_40

The paper deals with the discontinuous Galerkin method (DGM) for the solution of compressible Navier-Stokes equations in the ALE form in time-dependent domains combined with the solution of linear and nonlinear dynamic elasticity. The developed methods are oriented to fluid-structure interaction (FSI), particularly to the simulation of air flow in a time-dependent domain representing vocal tract and vocal folds vibrations. We compare results obtained with the aid of linear and nonlinear elasticity models. The results show that it is more adequate to use the nonlinear elasticity St. Venant-Kirchhoff model in contrast to the linear elasticity model.
Permanent Link: http://hdl.handle.net/11104/0327493