Helicity-conservative finite element discretization for incompressible MHD systems
We construct finite element methods for the incompressible magnetohydrodynamics (MHD)
system that precisely preserve the 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.
system that precisely preserve the 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.
Abstract
We construct finite element methods for the incompressible magnetohydrodynamics (MHD) system that precisely preserve the 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.
Elsevier
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