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
N1 - Publisher Copyright:
Copyright 2015 by AMSS, Chinese Academy of Sciences.
PY - 2015/3/1
Y1 - 2015/3/1
N2 - 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.
AB - 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.
KW - Maire's node-based Lagrangian scheme
KW - Riemann invariants
KW - Riemann solvers
KW - Weighted least squares procedure
UR - https://www.scopus.com/pages/publications/84921042515
U2 - 10.4208/jcm.1408-m4411
DO - 10.4208/jcm.1408-m4411
M3 - 文章
AN - SCOPUS:84921042515
SN - 0254-9409
VL - 33
SP - 128
EP - 145
JO - Journal of Computational Mathematics
JF - Journal of Computational Mathematics
IS - 2
ER -