@Article{CiCP-27-292, author = {Zeifang , JonasSchütz , JochenKaiser , KlausBeck , AndreaLukáčová-Medvid'ová , Maria and Noelle , Sebastian}, title = {A Novel Full-Euler Low Mach Number IMEX Splitting}, journal = {Communications in Computational Physics}, year = {2019}, volume = {27}, number = {1}, pages = {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.
}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2018-0270}, url = {http://global-sci.org/intro/article_detail/cicp/13323.html} }