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Helicity-conservative finite element discretization for MHD systems

07/15/2020
by   Kaibo Hu, et al.
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We construct finite element methods for the 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 fitting in a de Rham complex. We present numerical tests to show the performance of the algorithm.

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Energetic Stable Discretization for Non-Isothermal Electrokinetics Model

We propose an edge averaged finite element(EAFE) discretization to solve...