A Finite Element Variational Multiscale Method for Stationary Incompressible Magnetohydrodynamics Equations
Year: 2023
Author: Huayi Huang, Yunqing Huang, Qili Tang
Advances in Applied Mathematics and Mechanics, Vol. 15 (2023), Iss. 5 : pp. 1142–1165
Abstract
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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2022-0200
Advances in Applied Mathematics and Mechanics, Vol. 15 (2023), Iss. 5 : pp. 1142–1165
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Variational multiscale method stationary incompressible magnetohydrodynamics large-scale spaces stability and convergence high Reynolds numbers.