A Finite Element Variational Multiscale Method for Stationary Incompressible Magnetohydrodynamics Equations

被引：0
|
作者：
Huang, Huayi [1 ]
Huang, Yunqing [1 ]
Tang, Qili [1 ]
机构：
[1] Xiangtan Univ, Sch Math & Computat Sci, Hunan Key Lab Computat & Simulat Sci & Engn, Key Lab Intelligent Comp & Informat Proc,Minist Ed, Xiangtan 411105, Hunan, Peoples R China
来源：
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2022年
基金：
中国国家自然科学基金;
关键词：
Variational multiscale method; stationary incompressible magnetohydrodynamics; large-scale spaces; stability and convergence; high Reynolds numbers; ITERATIVE METHODS; CONVERGENCE; FORMULATION; FLOWS;
D O I：
10.4208/aamm.OA-2022-0200xxx2023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a variational multiscale method (VMM) for the stationary incompressible magnetohydrodynamics equations. This method is defined by large-scale spaces for the velocity field and the magnetic field, which aims to solve flows at high Reynolds numbers. We provide a new VMM formulation and prove its stability and convergence. Finally, some numerical experiments are presented to indicate the optimal convergence of our method.
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页数：24
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