Magnetohydrodynamics (MHD) simulation via an adaptive element free Galerkin method

被引：5
|
作者：
Jannesari, Zahra [1 ]
Tatari, Mehdi [1 ]
机构：
[1] Isfahan Univ Technol, Dept Math Sci, Esfahan 8415683111, Iran
来源：
ENGINEERING WITH COMPUTERS | 2022年 / 38卷 / 01期
关键词：
Element free Galerkin method; MHD equations; Error estimation; Adaptive technique; Local refinement; POSTERIORI ERROR ESTIMATORS; MESHLESS METHOD; CHANNEL FLOWS; APPROXIMATIONS; COLLOCATION; ALGORITHM; EQUATIONS; SCHEME; PIPE; FORM;
D O I：
10.1007/s00366-020-01079-8
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this work, an adaptive element free Galerkin technique is presented to solve magnetohydrodynamics (MHD) equations. An a posteriori error estimation based on gradient recovery is suggested to find locations with largest error contribution. For stabilization, the MHD equations are converted into two convection diffusion equations and these equations are stabilized by adding an artificial diffusion based on local Peclet number. The presented numerical examples show efficiency of the adaptive technique.
引用
收藏
页码：679 / 693
页数：15
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