An anti-diffusive numerical scheme for the simulation of interfaces between compressible fluids by means of a five-equation model

JOURNAL OF COMPUTATIONAL PHYSICS

卷:229

Article

Kokh, S.¹  Lagoutiere, F.^2,3 

[1] CEA Saclay, DEN, DANS, DM2S,SFME,LETR, F-91191 Gif Sur Yvette, France

[2] Univ Paris 11, Dept Math, F-91405 Orsay, France

[3] INRIA Futurs, Ctr Rech, Equipe Project SIMPAF, F-59658 Villeneuve Dascq, France

关键词: Multi-component flows;    Interface problems;    Numerical diffusion;    Compressible flows;    Real fluids;   

DOI  :  10.1016/j.jcp.2009.12.003

来源: Elsevier

【 摘 要 】

We propose a discretization method of a five-equation model with isobaric closure for the simulation of interfaces between compressible fluids. This numerical solver is a Lagrange-Remap, scheme that aims at controlling the numerical diffusion of the interface between both fluids. This method does not involve any interface reconstruction procedure. The solver is equipped with built-in stability and consistency properties and is conservative with respect to mass, momentum, total energy and partial masses. This numerical scheme works with a very broad range of equations of state, including tabulated laws. Properties that ensure a good treatment of the Riemann invariants across the interface are proven. As a consequence, the numerical method does not create spurious pressure oscillations at the interface. We show one-dimensional and two-dimensional classic numerical tests. The results are compared with the approximate solutions obtained with the classic upwind Lagrange-Remap approach, and with experimental and previously published results of a reference test case. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

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