Volume 33, Issue 2
Application of MFCAV Riemann Solver to Maire's Cell-Centered Lagrangian Method

J. Comp. Math., 33 (2015), pp. 128-145.

Published online: 2015-04

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• 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.

• Keywords

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

65N06 65B99.

yan_liu_zh@163.com (Yan Liu)

tian-baolin@iapcm.ac.cn (Baolin Tian)

dkmao@staff.shu.edu.cn (Dekang Mao)

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@Article{JCM-33-128, author = {Liu , Yan and Tian , Baolin and Shen , Weidong and Wang , Shuanghu and Jiang , Song and Mao , Dekang }, title = {Application of MFCAV Riemann Solver to Maire's Cell-Centered Lagrangian Method}, journal = {Journal of Computational Mathematics}, year = {2015}, volume = {33}, number = {2}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1408-m4411}, url = {http://global-sci.org/intro/article_detail/jcm/9832.html} }
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://dor.org/10.4208/jcm.1408-m4411 UR - https://global-sci.org/intro/article_detail/jcm/9832.html KW - Maire's node-based Lagrangian scheme KW - Riemann solvers KW - Riemann invariants KW - weighted least squares procedure 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.

Yan Liu , Baolin Tian, Weidong Shen , Shuanghu Wang , Song Jiang & Dekang Mao . (2020). Application of MFCAV Riemann Solver to Maire's Cell-Centered Lagrangian Method. Journal of Computational Mathematics. 33 (2). 128-145. doi:10.4208/jcm.1408-m4411
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