A structure-preserving finite element method for compressible ideal and resistive magnetohydrodynamics
نویسندگان
چکیده
We construct a structure-preserving finite element method and time-stepping scheme for compressible barotropic magnetohydrodynamics both in the ideal resistive cases, presence of viscosity. The is deduced from geometric variational formulation equations. It preserves balance laws governing evolution total energy magnetic helicity, mass constraint $\text {div}B = 0$ to machine precision, at spatially temporally discrete levels. In particular, conservation helicity hold levels case. observed that cross-helicity well conserved our simulation
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ژورنال
عنوان ژورنال: Journal of Plasma Physics
سال: 2021
ISSN: ['1469-7807', '0022-3778']
DOI: https://doi.org/10.1017/s0022377821000842