TY - JOUR
T1 - Application of MFCAV Riemann Solver to Maire's Cell-Centered Lagrangian Method
AU - Liu , Yan
AU - Tian , Baolin
AU - Shen , Weidong
AU - Wang , Shuanghu
AU - Jiang , Song
AU - Mao , Dekang
JO - Journal of Computational Mathematics
VL - 2
SP - 128
EP - 145
PY - 2015
DA - 2015/04
SN - 33
DO - http://doi.org/10.4208/jcm.1408-m4411
UR - https://global-sci.org/intro/article_detail/jcm/9832.html
KW - Maire's node-based Lagrangian scheme, Riemann solvers, Riemann invariants,
weighted least squares procedure.
AB - <p style="text-align: justify;">In this paper, we apply arbitrary Riemann solvers, which may not satisfy the Maire&#39;s requirement, to the Maire&#39;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&#39;s scheme. It is noted that neither of the two solvers satisfies the Maire&#39;s requirement. Numerical experiments are presented to demonstrate that the application of the two Riemann solvers is successful.</p>