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.

引用

页数：24

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