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A decoupling penalty finite element method for the stationary incompressible MagnetoHydroDynamics equation

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成果类型:
期刊论文
作者:
Deng, Jien;Si, Zhiyong*
通讯作者:
Si, Zhiyong
作者机构:
[Deng, Jien; Si, Zhiyong] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454003, Peoples R China.
[Si, Zhiyong] Xiangtan Univ Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China.
通讯机构:
[Si, Zhiyong] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454003, Peoples R China.
[Si, Zhiyong] Xiangtan Univ Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China.
语种:
英文
关键词:
Decouple penalty method;Finite element method;Stationary incompressible MHD equation;Stability analysis;Error analysis;Hartmann folw
期刊:
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
ISSN:
0017-9310
年:
2019
卷:
128
页码:
601-612
文献类别:
WOS:Article
所属学科:
WOS学科类别:Engineering, Mechanical;Mechanics;Thermodynamics
入藏号:
基金类别:
Key scientific research projects in China Postdoctoral Science Foundation [2018M630907]; Henan Colleges and Universities [19B110007]
机构署名:
本校为通讯机构
院系归属:
数学与计算科学学院
摘要:
In this paper, we give a penalty finite element method for the steady MHD equations. In this method, we decouple the MHD into two equations, one for the velocity and magnetic (u, B), the other for the pressure p. We prove the existence of the penalty method and the optimal error estimate. Then, we give the penalty finite element method for the MHD equations. The stability analysis shows our method is stable, and the error estimate shows our method has an optimal convergence order. Finally, we give some numerical results of exact solution equation and Hartmann flow. The numerical results show that our penalty finite element method is effect. (C) 2018 Elsevier Ltd. All rights reserved.
参考文献:
CAREY GF, 1984, COMPUT METHOD APPL M, V42, P183, DOI 10.1016/0045-7825(84)90025-2
Courant R., 1943, Bulletin of the American Mathematical Society, V49, P1, DOI 10.1090/S0002-9904-1943-07818-4
Dehghan M, 2015, COMPUT MATH APPL, V70, P2292, DOI 10.1016/j.camwa.2015.08.032
Dehghan M, 2014, J COMPUT APPL MATH, V268, P93, DOI 10.1016/j.cam.2014.02.013
Dehghan M, 2013, COMPUT MECH, V52, P1445, DOI 10.1007/s00466-013-0886-z

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