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Journal of Scientific Computing

Erschienen in:

31.01.2017

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

verfasst von: Wasilij Barsukow, Philipp V. F. Edelmann, Christian Klingenberg, Fabian Miczek, Friedrich K. Röpke

Erschienen in: Journal of Scientific Computing | Ausgabe 2/2017

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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 \({\sim }10^{-10}\).

Vorheriger Artikel Energy-Preserving Algorithms for the Benjamin Equation

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Titel: A Numerical Scheme for the Compressible Low-Mach Number Regime of Ideal Fluid Dynamics
verfasst von: Wasilij Barsukow
Philipp V. F. Edelmann
Christian Klingenberg
Fabian Miczek
Friedrich K. Röpke
Publikationsdatum: 31.01.2017
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 2/2017
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-017-0372-4

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