A finite element method for MHD that preserves energy, cross-helicity, magnetic helicity, incompressibility, and div B = 0 - Archive ouverte HAL Access content directly
Journal Articles Journal of Computational Physics Year : 2022

A finite element method for MHD that preserves energy, cross-helicity, magnetic helicity, incompressibility, and div B = 0

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Abstract

We construct a structure-preserving finite element method and time-stepping scheme for inhomogeneous, incompressible magnetohydrodynamics (MHD). The method preserves energy, cross-helicity (when the fluid density is constant), magnetic helicity, mass, total squared density, pointwise incompressibility, and the constraint div B = 0 to machine precision, both at the spatially and temporally discrete levels.
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Dates and versions

insu-03726924 , version 1 (19-07-2022)

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Evan S. Gawlik, François Gay-Balmaz. A finite element method for MHD that preserves energy, cross-helicity, magnetic helicity, incompressibility, and div B = 0. Journal of Computational Physics, 2022, 450, ⟨10.1016/j.jcp.2021.110847⟩. ⟨insu-03726924⟩
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