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

Miloslav Feistauer,Jaromír Horáček,Monika Balázsová

doi:10.1007/978-3-030-55874-1_40

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

Miloslav Feistauer, Jaromír Horáček + Show 1 more

https://doi.org/10.1007/978-3-030-55874-1_40

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Publication Date: Aug 22, 2020

Affiliation: Charles University, Czech Academy of Sciences, Institute of Thermomechanics

#Nonlinear Elasticity #Nonlinear Dynamic Elasticity + Show 8 more

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Abstract

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.

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