| 8 | A Novel Full-Euler Low Mach Number IMEX Splitting显示文摘In this paper,we introduce an extension of a splitting method for singularly perturbed equations,the socalled 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. | Jonas Zeifang Jochen Schutz Klaus Kaiser Andrea Beck Maria Lukacova-Medvid’ova Sebastian Noelle | 2020 | Communications in Computational Physics2020，27，1： | 1 |
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