A parallel finite element algorithm for nonstationary incompressible magnetohydrodynamics equations
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 4 September 2018
Issue publication date: 25 September 2018
Abstract
Purpose
The purpose of this paper is to design a parallel finite element (FE) algorithm based on fully overlapping domain decomposition for solving the nonstationary incompressible magnetohydrodynamics (MHD).
Design/methodology/approach
The fully discrete Euler implicit/explicit FE subproblems, which are defined in the whole domain with vast majority of the degrees of freedom associated with the particular subdomain, are solved in parallel. In each subproblem, the linear term is treated by implicit scheme and the nonlinear term is solved by explicit one.
Findings
For the algorithm, the almost unconditional convergence with optimal orders is validated by numerical tests. Some interesting phenomena are presented.
Originality/value
The proposed algorithm is effective, easy to realize with low communication costs and preferred for solving the strong nonlinear MHD system.
Keywords
Acknowledgements
The work was supported by NSFC (No: 11401174,11701151), China Postdoctoral Science Foundation (No: 2016M592434) and the Major Research Plan of NSFC (No: 91430213). The author would like to thank the referees and editor for the helpful suggestions.
Citation
Tang, Q. (2018), "A parallel finite element algorithm for nonstationary incompressible magnetohydrodynamics equations", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 28 No. 7, pp. 1579-1595. https://doi.org/10.1108/HFF-06-2017-0251
Publisher
:Emerald Publishing Limited
Copyright © 2018, Emerald Publishing Limited