Volume 22, Issue 4
A High-Order Method for Weakly Compressible Flows

Klaus KaiserJochen Schütz

Commun. Comput. Phys., 22 (2017), pp. 1150-1174.

Published online: 2017-10

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  • 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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@Article{CiCP-22-1150, author = {Kaiser , Klaus and Schütz , Jochen}, title = {A High-Order Method for Weakly Compressible Flows}, journal = {Communications in Computational Physics}, year = {2017}, volume = {22}, number = {4}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2017-0028}, url = {http://global-sci.org/intro/article_detail/cicp/9997.html} }
TY - JOUR T1 - A High-Order Method for Weakly Compressible Flows AU - Kaiser , Klaus AU - Schütz , Jochen JO - Communications in Computational Physics VL - 4 SP - 1150 EP - 1174 PY - 2017 DA - 2017/10 SN - 22 DO - http://doi.org/10.4208/cicp.OA-2017-0028 UR - https://global-sci.org/intro/article_detail/cicp/9997.html KW - AB -

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.

Klaus Kaiser & Jochen Schütz. (2020). A High-Order Method for Weakly Compressible Flows. Communications in Computational Physics. 22 (4). 1150-1174. doi:10.4208/cicp.OA-2017-0028
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