Runge-Kutta discontinuous Galerkin method for the approximation of Baer and Nunziato type multiphase models

JOURNAL OF COMPUTATIONAL PHYSICS

卷:231

Article

Franquet, Erwin^1,2  Perrier, Vincent^1,3 

[1] INRIA Bordeaux Sud Ouest, Cagire Team, F-33405 Talence, France

[2] LaTEP ENSGTI, F-64075 Pau, France

[3] Univ Pau & Pays Adour, CNRS, LMA IPRA, UMR 5142, F-64013 Pau, France

关键词: Compressible multiphase flows;    Baer and Nunziato system;    Nonconservative products;    Discontinuous Galerkin methods;   

DOI  :  10.1016/j.jcp.2012.02.002

来源: Elsevier

【 摘 要 】

A high-order numerical method is developed for the computation of compressible multiphase flows. The model we use is based on the Baer and Nunziato type systems [4]. Among all the other available models in the literature, these systems present the advantage to be able to simulate either interface or mixture problems. Nevertheless, they still raise some issues, mainly based on their non-conservative feature. The numerical method we propose is a discontinuous Galerkin type. In this work, the interior side integrals are computed thanks to [2]. Robustness and high order of accuracy of the method are proved on classical interface problems, but also on suitably derived analytical solutions. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free