Anisotropic adaptive finite element method for magnetohydrodynamic flow at high Hartmann numbers

doi:10.1007/s10483-016-2107-9

	Anisotropic adaptive finite element method for magnetohydrodynamic flow at high Hartmann numbers
	Zhao, Jikun 1; Mao, Shipeng2,3,4 ; Zheng, Weiying 2,3,4
	2016-11-01
发表期刊	APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN	0253-4827
卷号	37 期号:11 页码:1479-1500
摘要	This 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.
关键词	magnetohydrodynamic (MHD) flow posteriori error estimate anisotropic adaptive finite element method (FEM)
DOI	10.1007/s10483-016-2107-9
语种	英语
资助项目	National 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研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000387550000006
出版者	SHANGHAI UNIV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24090
专题	计算数学与科学工程计算研究所
通讯作者	Mao, Shipeng
作者单位	1.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
推荐引用方式 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.