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.
基金
supported by the National Natural Science Foundation of China(Nos.12071404,11971410,12261131501 and 12026254)
Young Elite Scientist Sponsorship Program by CAST(No.2020QNRC001)
Key Project of Scientific Research Project of Hunan Provincial Department of Education(No.22A0136)
International Scientific and Technological Innovation Cooperation Base of Hunan Province for Computational Science(No.2018WK4006)
Postgraduate Scientific Research Innovation Project of Hunan Province(No.CX20210612).
