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A Numerical Scheme for the Compressible Low-Mach Number Regime of Ideal Fluid Dynamics

Lookup NU author(s): Dr Philipp EdelmannORCiD

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This is the authors' accepted manuscript of an article that has been published in its final definitive form by Springer, 2017.

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Abstract

Based on the Roe solver a new technique that allows to correctly represent low Mach number flows with a discretization of the compressible Euler equations was proposed in Miczek et al. (Astron Astrophys 576:A50, 2015). We analyze properties of this scheme and demonstrate that its limit yields a discretization of the continuous limit system. Furthermore we perform a linear stability analysis for the case of explicit time integration and study the performance of the scheme under implicit time integration via the evolution of its condition number. A numerical implementation demonstrates the capabilities of the scheme on the example of the Gresho vortex which can be accurately followed down to Mach numbers of ~10^-10.

Publication metadata

Author(s): Barsukow W, Edelmann PVF, Klingenberg C, Miczek F, Röpke FK

Publication type: Article

Publication status: Published

Journal: Journal of Scientific Computing

Year: 2017

Volume: 72

Issue: 2

Pages: 623-646

Print publication date: 01/08/2017

Online publication date: 31/01/2017

Acceptance date: 18/01/2017

Date deposited: 04/02/2019

ISSN (print): 0885-7474

ISSN (electronic): 1573-7691

Publisher: Springer

URL: http://dx.doi.org/10.1007/s10915-017-0372-4

DOI: 10.1007/s10915-017-0372-4

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