A five-equation model for the simulation of interfaces between compressible fluids

被引:475
作者
Allaire, G [1 ]
Clerc, S
Kokh, S
机构
[1] Ecole Polytech, Ctr Math Appl, F-91128 Palaiseau, France
[2] CEA Saclay, DEN DM2S SFME, F-91191 Gif Sur Yvette, France
关键词
multiphase flows; inter-face problems; real fluids;
D O I
10.1006/jcph.2002.7143
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
A diffuse-interface method is proposed for the simulation of interfaces between compressible fluids with general equations of state. including tabulated lawa. The interface is allowed to diffuse on a small number of computational cells and a mixture model is given for this transition region. We write conservation equations for the mass of each fluid and for the total momentum and energy of the mixture and an advection equation for the volume fraction of one of the two fluids. The model needs an additional closure law. We study two different closure laws: isobaric and isothermal, We study the mathematical properties of the resulting models: consistency, hyperbolicity, and existence of a mathematical entropy, We also study the stability of the interfaces with respect to averaging due to the numerical diffusion, a crucial property for the simulation of interface problems by conservative schemes. We show that the isobaric closure is preferable to the isothermal closure with respect to this property. We propose a Roe-type numerical scheme for the simulation of the model and show numerical results for classical test cases. (C) 2002 Elsevier Science (USA).
引用
收藏
页码:577 / 616
页数:40
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