TY - JOUR T1 - A Novel Full-Euler Low Mach Number IMEX Splitting AU - Zeifang , Jonas AU - Schütz , Jochen AU - Kaiser , Klaus AU - Beck , Andrea AU - Lukáčová-Medvid'ová , Maria AU - Noelle , Sebastian JO - Communications in Computational Physics VL - 1 SP - 292 EP - 320 PY - 2019 DA - 2019/10 SN - 27 DO - http://doi.org/10.4208/cicp.OA-2018-0270 UR - https://global-sci.org/intro/article_detail/cicp/13323.html KW - Euler equations, low-Mach, IMEX Runge-Kutta, RS-IMEX. AB -
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.