Coupling strategies for compressible-low Mach number flows

被引：4

作者：

Penel, Yohan ^{[1
,2
,3
,4
]}

Dellacherie, Stephane ^{[5
]}

Despres, Bruno ^{[3
,6
]}

机构：

[1] Minist Ecol Sustainable Dev & Energy, CEREMA, Team ANGE, Paris, France

[2] Inria Paris Rocquencourt, F-78153 Le Chesnay, France

[3] Sorbonne Univ, Univ Paris 06, F-75005 Paris, France

[4] Sorbonne Univ, CNRS, Lab Jacques Louis Lions, UMR 7598, F-75005 Paris, France

[5] Commissariat Energie Atom & Energies Alternat, DEN DANS STMF DM2S, F-91191 Gif Sur Yvette, France

[6] Sorbonne Univ, CNRS, Lab Jacques Louis Lions, F-75005 Paris, France

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2015年 / 25卷 / 06期

关键词：

Mach number; coupling; transmission conditions; steady states; NONLINEAR HYPERBOLIC SYSTEMS; POROUS-MEDIA FLOW; INCOMPRESSIBLE LIMIT; NUMERICAL-SOLUTION; CONSERVATION-LAWS; SINGULAR LIMITS; UPWIND SCHEMES; FLUID-FLOW; EQUATIONS; EXTENSION;

D O I：

10.1142/S021820251550027X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In order to enrich the modeling of fluid flows, we investigate in this paper a coupling between two models dedicated to distinct regimes. More precisely, we focus on the influence of the Mach number as the low Mach case is known to induce theoretical and numerical issues in a compressible framework. A moving interface is introduced to separate a compressible model (Euler with source term) and its low Mach counterpart through relevant transmission conditions. A global steady state for the coupled problem is exhibited. Numerical simulations are then performed to highlight the influence of the coupling by means of a robust numerical strategy.

引用

页码：1045 / 1089

页数：45

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