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Anisotropic adaptive finite element method for magnetohydrodynamic flow at high Hartmann numbers
Zhao, Jikun1; Mao, Shipeng2,3,4; Zheng, Weiying2,3,4
2016-11-01
Source PublicationAPPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN0253-4827
Volume37Issue:11Pages:1479-1500
AbstractThis paper presents an anisotropic adaptive finite element method (FEM) to solve the governing equations of steady magnetohydrodynamic (MHD) duct flow. A residual error estimator is presented for the standard FEM, and two-sided bounds on the error independent of the aspect ratio of meshes are provided. Based on the Zienkiewicz-Zhu estimates, a computable anisotropic error indicator and an implement anisotropic adaptive refinement for the MHD problem are derived at different values of the Hartmann number. The most distinguishing feature of the method is that the layer information from some directions is captured well such that the number of mesh vertices is dramatically reduced for a given level of accuracy. Thus, this approach is more suitable for approximating the layer problem at high Hartmann numbers. Numerical results show efficiency of the algorithm.
Keywordmagnetohydrodynamic (MHD) flow posteriori error estimate anisotropic adaptive finite element method (FEM)
DOI10.1007/s10483-016-2107-9
Language英语
Funding ProjectNational Natural Science Foundation of China[11471329] ; National Natural Science Foundation of China[11321061] ; National Natural Science Foundation of China[91430215] ; National Magnetic Confinement Fusion Science Program of China[2015GB110000] ; Youth Innovation Promotion Association of Chinese Academy of Sciences (CAS)[2016003] ; National Center for Mathematics and Interdisciplinary Sciences of CAS
WOS Research AreaMathematics ; Mechanics
WOS SubjectMathematics, Applied ; Mechanics
WOS IDWOS:000387550000006
PublisherSHANGHAI UNIV
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/24090
Collection计算数学与科学工程计算研究所
Affiliation1.Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China
2.Chinese Acad Sci, AMSS, State Key Lab Sci & Engn Comp LSEC, Beijing 100190, Peoples R China
3.Chinese Acad Sci, AMSS, Inst Computat Math, Beijing 100190, Peoples R China
4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Zhao, Jikun,Mao, Shipeng,Zheng, Weiying. Anisotropic adaptive finite element method for magnetohydrodynamic flow at high Hartmann numbers[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2016,37(11):1479-1500.
APA Zhao, Jikun,Mao, Shipeng,&Zheng, Weiying.(2016).Anisotropic adaptive finite element method for magnetohydrodynamic flow at high Hartmann numbers.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,37(11),1479-1500.
MLA Zhao, Jikun,et al."Anisotropic adaptive finite element method for magnetohydrodynamic flow at high Hartmann numbers".APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION 37.11(2016):1479-1500.
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