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An energy-based discontinuous Galerkin method for coupled elasto-acoustic wave equations in second-order form

Journal article
Authors D. Appelo
Siyang Wang
Published in International Journal for Numerical Methods in Engineering
Volume 119
Issue 7
Pages 618-638
ISSN 0029-5981
Publication year 2019
Published at Department of Mathematical Sciences
Pages 618-638
Language en
Links dx.doi.org/10.1002/nme.6065
Keywords acoustic wave equation, discontinuous Galerkin method, elastic wave equation, high order accuracy, propagation, Engineering, Mathematics
Subject categories Mathematics

Abstract

We consider wave propagation in a coupled fluid-solid region separated by a static but possibly curved interface. The wave propagation is modeled by the acoustic wave equation in terms of a velocity potential in the fluid, and the elastic wave equation for the displacement in the solid. At the fluid solid interface, we impose suitable interface conditions to couple the two equations. We use a recently developed energy-based discontinuous Galerkin method to discretize the governing equations in space. Both energy conserving and upwind numerical fluxes are derived to impose the interface conditions. The highlights of the developed scheme include provable energy stability and high order accuracy. We present numerical experiments to illustrate the accuracy property and robustness of the developed scheme.

Page Manager: Webmaster|Last update: 9/11/2012
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