Serge Moto Mpong - An arbitrary high order discontinuous Galerkin scheme for the elastodynamic equations

arima:1969 - Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, November 20, 2014, Volume 17 - 2014 - Special issue CARI'12 - https://doi.org/10.46298/arima.1969
An arbitrary high order discontinuous Galerkin scheme for the elastodynamic equations

Authors: Serge Moto Mpong

We present in this paper the formulation of a non-dissipative arbitrary high order time domain scheme for the elastodynamic equations. Our approach combines the use of an arbitrary high order discontinuous Galerkin interpolation with centred flux in space, with an arbitrary high order leapfrog scheme in time. Numerical two dimensionnal results are presented for the schemes from order two to order four. In these simulations, we discuss of the numerical stability and the numerical convergence of the schemes on the homogeneous eigenmode problem. We also show the ability of the computed schemes to carry out more complex propagation probems by simulating the Garvin test with an explosive source. The results show the high accuracy of the method, both on triangular regular and irregular meshes.


Volume: Volume 17 - 2014 - Special issue CARI'12
Published on: November 20, 2014
Submitted on: May 4, 2014
Keywords: Elastodynamic equation, discontinuous Galerkin method, leapfrog scheme, centered scheme.,équation élastodynamique, méthode Galerkin discontinu, schéma saute-mouton, flux centré,[INFO] Computer Science [cs],[MATH] Mathematics [math]


Share

Consultation statistics

This page has been seen 92 times.
This article's PDF has been downloaded 175 times.