Applications of the discontinuous Galerkin method to propagating acoustic wave problems

The purpose of this article is to demonstrate that the discontinuous Galerkin method is efficient and suitable to solve linearized Euler equations, modelling sound propagation phenomena. Several benchmark problems were chosen for this purpose. We studied the effect of the underlying computational me...

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Bibliographic Details
Main Authors: Jan Nytra, Libor Čermák, Miroslav Jícha
Format: Article
Language:English
Published: SAGE Publishing 2017-06-01
Series:Advances in Mechanical Engineering
Online Access:https://doi.org/10.1177/1687814017703631
Description
Summary:The purpose of this article is to demonstrate that the discontinuous Galerkin method is efficient and suitable to solve linearized Euler equations, modelling sound propagation phenomena. Several benchmark problems were chosen for this purpose. We studied the effect of the underlying computational mesh on the convergence rate and showed the importance of high-quality meshes in order to achieve the theoretical convergence rates. Various acoustic boundary conditions were examined. Perfectly matched layer was used as a non-reflecting boundary condition.
ISSN:1687-8140