Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/29719
Title: A Novel Full-Euler Low Mach Number IMEX Splitting
Authors: Zeifang, Jonas
SCHUETZ, Jochen 
KAISER, Klaus 
Beck, Andrea
Lukácová-Medvidova, Maria
Noelle, Sebastian
Issue Date: 2020
Source: Communications in Computational Physics, 27 (1), p. 292-320
Status: Early View
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.
Notes: Zeifang, J (reprint author), Univ Stuttgart, IAG, Pfaffenwaldring 21, DE-70569 Stuttgart, Germany. zeifang@iag.uni-stuttgart.de; jochen.schuetz@uhasselt.be; kaiser@igpm.rwth-aachen.de; beck@iag.uni-stuttgart.de; lukacova@uni-mainz.de; noelle@igpm.rwth-aachen.de
Keywords: Euler equations; low-Mach; IMEX Runge-Kutta; RS-IMEX
Document URI: http://hdl.handle.net/1942/29719
Link to publication: http://www.global-sci.com/intro/article_detail/cicp/13323.html
ISSN: 1815-2406
e-ISSN: 1991-7120
DOI: 10.4208/cicp.OA-2018-0270
ISI #: 000489297900012
Rights: 2020 Global-Science Press
Category: A1
Type: Journal Contribution
Validations: ecoom 2021
Appears in Collections:Research publications

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