@Article{CiCP-27-1,
author = {Zeifang, Jonas and Schütz, Jochen and Klaus, Kaiser and Beck, Andrea and Maria, Lukáčová-Medvid'ová and Sebastian, Noelle},
title = {A Novel Full-Euler Low Mach Number IMEX Splitting},
journal = {Communications in Computational Physics},
year = {2020},
volume = {27},
number = {1},
pages = {292--320},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2018-0270},
url = {https://global-sci.com/article/79764/a-novel-full-euler-low-mach-number-imex-splitting}
}