Multi-region relaxed magnetohydrodynamics with anisotropy and flow

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

doi:10.1063/1.4890847

Multi-region relaxed magnetohydrodynamics with anisotropy and flow

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

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

10 Citations (Scopus)

Abstract

We present an extension of the multi-region relaxed magnetohydrodynamics (MRxMHD) equilibrium model that includes pressure anisotropy and general plasma flows. This anisotropic extension to our previous isotropic model is motivated by Sun and Finn's model of relaxed anisotropic magnetohydrodynamic equilibria. We prove that as the number of plasma regions becomes infinite, our anisotropic extension of MRxMHD reduces to anisotropic ideal MHD with flow. The continuously nested flux surface limit of our MRxMHD model is the first variational principle for anisotropic plasma equilibria with general flow fields.

Original language	English
Article number	072512
Journal	Physics of Plasmas
Volume	21
Issue number	7
DOIs	https://doi.org/10.1063/1.4890847
Publication status	Published - Jul 2014

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AB - We present an extension of the multi-region relaxed magnetohydrodynamics (MRxMHD) equilibrium model that includes pressure anisotropy and general plasma flows. This anisotropic extension to our previous isotropic model is motivated by Sun and Finn's model of relaxed anisotropic magnetohydrodynamic equilibria. We prove that as the number of plasma regions becomes infinite, our anisotropic extension of MRxMHD reduces to anisotropic ideal MHD with flow. The continuously nested flux surface limit of our MRxMHD model is the first variational principle for anisotropic plasma equilibria with general flow fields.

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Multi-region relaxed magnetohydrodynamics with anisotropy and flow

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