Application of MFCAV Riemann Solver to Maire's Cell-Centered Lagrangian Method

Authors

  • Yan Liu Key Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100094, P. R. China
  • Baolin Tian Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100094, P.R. China
  • Weidong Shen Key Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100094, P. R. China
  • Shuanghu Wang Key Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100094, P. R. China
  • Song Jiang Key Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100094, P. R. China
  • Dekang Mao Department of Mathematics, Shanghai University, Shanghai, China

DOI:

https://doi.org/10.4208/jcm.1408-m4411

Keywords:

Maire's node-based Lagrangian scheme, Riemann solvers, Riemann invariants, weighted least squares procedure.

Abstract

In this paper, we apply arbitrary Riemann solvers, which may not satisfy the Maire's requirement, to the Maire's node-based Lagrangian scheme developed in [P. H. Maire et al., SIAM J. Sci. Comput, 29 (2007), 1781-1824]. In particular, we apply the so-called Multi-Fluid Channel on Averaged Volume (MFCAV) Riemann solver and a Riemann solver that adaptively combines the MFCAV solver with other more dissipative Riemann solvers to the Maire's scheme. It is noted that neither of the two solvers satisfies the Maire's requirement. Numerical experiments are presented to demonstrate that the application of the two Riemann solvers is successful.

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Published

2018-08-22

Issue

Vol. 33 No. 2 (2015)

Section

Articles