Helicity-conservative finite element discretization for incompressible MHD systems
Numerical Analysis
2021-04-07 v3 Numerical Analysis
Computational Physics
Plasma Physics
Abstract
We construct finite element methods for the incompressible magnetohydrodynamics (MHD) system that precisely preserve magnetic and cross helicity, the energy law and the magnetic Gauss law at the discrete level. The variables are discretized as discrete differential forms in a de Rham complex. We present numerical tests to show the performance of the algorithm.
Keywords
Cite
@article{arxiv.2007.07516,
title = {Helicity-conservative finite element discretization for incompressible MHD systems},
author = {Kaibo Hu and Young-Ju Lee and Jinchao Xu},
journal= {arXiv preprint arXiv:2007.07516},
year = {2021}
}