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

被引：36

作者：

Barsukow, Wasilij ^{[1
]}

Edelmann, Philipp V. F. ^{[2
]}

Klingenberg, Christian ^{[1
]}

Miczek, Fabian ^{[1
]}

Roepke, Friedrich K. ^{[2
]}

机构：

[1] Wurzburg Univ, Inst Math, Emil Fischer Str 40, D-97074 Wurzburg, Germany

[2] Heidelberg Inst Theoret Studies, Schloss Wolfsbrunnenweg 35, D-69118 Heidelberg, Germany

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2017年 / 72卷 / 02期

关键词：

Compressible Euler equations; Low Mach number; Asymptotic preserving; Flux preconditioning; NAVIER-STOKES EQUATIONS; INCOMPRESSIBLE LIMIT; ISENTROPIC EULER; SINGULAR LIMITS; UPWIND SCHEMES; SPEED SCHEME; SIMULATIONS; TURBULENCE; BEHAVIOR; FLOW;

D O I：

10.1007/s10915-017-0372-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 .

引用

页码：623 / 646

页数：24

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