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A numerical study of a first order modular grad-div stabilization for the magnetohydrodynamics equations.
- Source :
- AIP Conference Proceedings; 2020, Vol. 2334 Issue 1, p1-4, 4p
- Publication Year :
- 2020
-
Abstract
- This paper proposes a stabilization method to approximate analytical solutions of magnetohydrodynamics (MHD) equations. The method adds two modular grad-div steps into fully-discrete finite element MHD solver. The main idea in these intrusive steps is to penalize the divergence of the velocity/magnetic fields both in L<superscript>2</superscript> and H<superscript>1</superscript>-norms. The paper confirms the optimal convergence of the method, and gives numerical experiments which reveal positive effect of the method as in the usual grad-div stabilization. [ABSTRACT FROM AUTHOR]
- Subjects :
- MAGNETIC fields
EQUATIONS
ANALYTICAL solutions
Subjects
Details
- Language :
- English
- ISSN :
- 0094243X
- Volume :
- 2334
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- AIP Conference Proceedings
- Publication Type :
- Conference
- Accession number :
- 149021817
- Full Text :
- https://doi.org/10.1063/5.0042578