The infinite interface limit of multiple-region relaxed magnetohydrodynamics

G. R. Dennis; S. R. Hudson; R. L. Dewar; M. J. Hole

doi:10.1063/1.4795739

The infinite interface limit of multiple-region relaxed magnetohydrodynamics

G. R. Dennis^*, S. R. Hudson, R. L. Dewar, M. J. Hole

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

Abstract

We show the stepped-pressure equilibria that are obtained from a generalization of Taylor relaxation known as multi-region, relaxed magnetohydrodynamics (MRXMHD) are also generalizations of ideal magnetohydrodynamics (ideal MHD). We show this by proving that as the number of plasma regions becomes infinite, MRXMHD reduces to ideal MHD. Numerical convergence studies illustrating this limit are presented.

Original language	English
Article number	032509
Journal	Physics of Plasmas
Volume	20
Issue number	3
DOIs	https://doi.org/10.1063/1.4795739
Publication status	Published - Mar 2013

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abstract = "We show the stepped-pressure equilibria that are obtained from a generalization of Taylor relaxation known as multi-region, relaxed magnetohydrodynamics (MRXMHD) are also generalizations of ideal magnetohydrodynamics (ideal MHD). We show this by proving that as the number of plasma regions becomes infinite, MRXMHD reduces to ideal MHD. Numerical convergence studies illustrating this limit are presented.",

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AB - We show the stepped-pressure equilibria that are obtained from a generalization of Taylor relaxation known as multi-region, relaxed magnetohydrodynamics (MRXMHD) are also generalizations of ideal magnetohydrodynamics (ideal MHD). We show this by proving that as the number of plasma regions becomes infinite, MRXMHD reduces to ideal MHD. Numerical convergence studies illustrating this limit are presented.

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The infinite interface limit of multiple-region relaxed magnetohydrodynamics

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