Year: 2015
Author: Yan Liu, Baolin Tian, Weidong Shen, Shuanghu Wang, Song Jiang, Dekang Mao
Journal of Computational Mathematics, Vol. 33 (2015), Iss. 2 : pp. 128–145
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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1408-m4411
Journal of Computational Mathematics, Vol. 33 (2015), Iss. 2 : pp. 128–145
Published online: 2015-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Maire's node-based Lagrangian scheme Riemann solvers Riemann invariants weighted least squares procedure.
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