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A Modified Third-Order Semi-Discrete Central-Upwind Scheme for MHD Simulation
Ji Zhen; Zhou Yu-Fen; Hou Tian-Xiang; Ji, Z (reprint author), Chinese Acad Sci, Ctr Space Sci & Appl Res, State Key Lab Space Weather, Beijing 100190, Peoples R China.
Department空间科学部
Source PublicationCHINESE PHYSICS LETTERS
2011
Volume28Issue:7Pages:75205
ISSN0256-307X
Language英语
AbstractThe Kurganov scheme is a third-order semi-discrete central numerical algorithm. The high solution of the scheme is ensured by a piecewise quadratic non-oscillatory reconstruction which consists of the cell-average data. We employ a modification of the smooth limiter of reconstruction in a simple way. The modified limiter possesses rigorous positivity and the reformulation does not change the non-oscillatory property of reconstruction. In order to explore the potential capability of application of the modified Kurganov scheme to magnetohydrodynamics (MHD) and resistive magnetohydrodynamics (RMHD) equations, two numerical problems are simulated in two dimensions (2D). These numerical simulations demonstrate that the modified Kurganov scheme keeps high precision and has stable reliable results for MHD and RMHD applications.; The Kurganov scheme is a third-order semi-discrete central numerical algorithm. The high solution of the scheme is ensured by a piecewise quadratic non-oscillatory reconstruction which consists of the cell-average data. We employ a modification of the smooth limiter of reconstruction in a simple way. The modified limiter possesses rigorous positivity and the reformulation does not change the non-oscillatory property of reconstruction. In order to explore the potential capability of application of the modified Kurganov scheme to magnetohydrodynamics (MHD) and resistive magnetohydrodynamics (RMHD) equations, two numerical problems are simulated in two dimensions (2D). These numerical simulations demonstrate that the modified Kurganov scheme keeps high precision and has stable reliable results for MHD and RMHD applications.
Indexed BySCI
Funding Project中国科学院空间科学与应用研究中心
Document Type期刊论文
Identifierhttp://ir.nssc.ac.cn/handle/122/3254
Collection空间科学部
Corresponding AuthorJi, Z (reprint author), Chinese Acad Sci, Ctr Space Sci & Appl Res, State Key Lab Space Weather, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Ji Zhen,Zhou Yu-Fen,Hou Tian-Xiang,et al. A Modified Third-Order Semi-Discrete Central-Upwind Scheme for MHD Simulation[J]. CHINESE PHYSICS LETTERS,2011,28(7):75205.
APA Ji Zhen,Zhou Yu-Fen,Hou Tian-Xiang,&Ji, Z .(2011).A Modified Third-Order Semi-Discrete Central-Upwind Scheme for MHD Simulation.CHINESE PHYSICS LETTERS,28(7),75205.
MLA Ji Zhen,et al."A Modified Third-Order Semi-Discrete Central-Upwind Scheme for MHD Simulation".CHINESE PHYSICS LETTERS 28.7(2011):75205.
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