Year: 2017
Author: Klaus Kaiser, Jochen Schütz
Communications in Computational Physics, Vol. 22 (2017), Iss. 4 : pp. 1150–1174
Abstract
In this work, we introduce an IMEX discontinuous Galerkin solver for the weakly compressible isentropic Euler equations. The splitting needed for the IMEX temporal integration is based on the recently introduced reference solution splitting [32, 52], which makes use of the incompressible solution. We show that the overall method is asymptotic preserving. Numerical results show the performance of the algorithm which is stable under a convective CFL condition and does not show any order degradation.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2017-0028
Communications in Computational Physics, Vol. 22 (2017), Iss. 4 : pp. 1150–1174
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 25