Year: 2020
Author: Jonas Zeifang, Jochen Schütz, Klaus Kaiser, Andrea Beck, Maria Lukáčová-Medvid'ová, Sebastian Noelle
Communications in Computational Physics, Vol. 27 (2020), Iss. 1 : pp. 292–320
Abstract
In this paper, we introduce an extension of a splitting method for singularly perturbed equations, the so-called RS-IMEX splitting [Kaiser et al., Journal of Scientific Computing, 70(3), 1390–1407], to deal with the fully compressible Euler equations. The straightforward application of the splitting yields sub-equations that are, due to the occurrence of complex eigenvalues, not hyperbolic. A modification, slightly changing the convective flux, is introduced that overcomes this issue. It is shown that the splitting gives rise to a discretization that respects the low-Mach number limit of the Euler equations; numerical results using finite volume and discontinuous Galerkin schemes show the potential of the discretization.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2018-0270
Communications in Computational Physics, Vol. 27 (2020), Iss. 1 : pp. 292–320
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 29
Keywords: Euler equations low-Mach IMEX Runge-Kutta RS-IMEX.