APPLICATION OF MFCAV RIEMANN SOLVER TO MAIRE'S CELL-CENTERED LAGRANGIAN METHOD

作者：Liu, Yan^*; Tian, Baolin; Shen, Weidong; Wang, Shuanghu; Jiang, Song; Mao, Dekang

来源：Journal of Computational Mathematics, 2015, 33(2): 128-145.

DOI：10.4208/jcm.1408-m4411

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

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.

• 出版日期2015
• 单位上海大学; 北京应用物理与计算数学研究所