Journal
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
Volume -, Issue -, Pages -Publisher
GLOBAL SCIENCE PRESS
DOI: 10.4208/aamm.OA-2022-0200xxx2023
Keywords
Variational multiscale method; stationary incompressible magnetohydrodynamics; large-scale spaces; stability and convergence; high Reynolds numbers
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Funding
- National Natural Science Foundation of China [12071404, 11971410, 12261131501, 12026254]
- CAST [2020QNRC001]
- Key Project of Scientific Research Project of Hunan Provincial Department of Education [22A0136]
- International Scientific and Technological Innovation Cooperation Base of Hunan Province for Computational Science [2018WK4006]
- Postgraduate Scientific Research Innovation Project of Hunan Province [CX20210612]
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This paper proposes a variational multiscale method for solving flow problems at high Reynolds numbers and proves its stability and convergence.
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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