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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 | 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/dataset: | 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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