A gas kinetic scheme for the Baer-Nunziato two-phase flow model

  • Authors:

  • Liang Pan;Guiping Zhao;Baolin Tian;Shuanghu Wang

  • Affiliations:

  • Institute of Applied Physics and Computational Mathematics, Beijing 100088, China and The Graduate School of China Academy of Engineering Physics, Beijing 100088, China;National Natural Science Foundation of China, Beijing 100085, China;Institute of Applied Physics and Computational Mathematics, Beijing 100088, China and Key Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 1 ...;Institute of Applied Physics and Computational Mathematics, Beijing 100088, China and Key Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 1 ...

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2012

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Abstract

Numerical methods for the Baer-Nunziato (BN) two-phase flow model have attracted much attention in recent years. In this paper, we present a new gas kinetic scheme for the BN two-phase flow model containing non-conservative terms in the framework of finite volume method. In the view of microscopic aspect, a generalized Bhatnagar-Gross-Krook (BGK) model which matches with the BN model is constructed. Based on the integral solution of the generalized BGK model, we construct the distribution functions at the cell interface. Then numerical fluxes can be obtained by taking moments of the distribution functions, and non-conservative terms are explicitly introduced into the construction of numerical fluxes. In this method, not only the complex iterative process of exact solutions is avoided, but also the non-conservative terms included in the equation can be handled well.