Computation of multi-region relaxed magnetohydrodynamic equilibria

S. R. Hudson; R. L. Dewar; G. Dennis; M. J. Hole; M. McGann; G. Von Nessi; S. Lazerson

doi:10.1063/1.4765691

Computation of multi-region relaxed magnetohydrodynamic equilibria

S. R. Hudson^*, R. L. Dewar, G. Dennis, M. J. Hole, M. McGann, G. Von Nessi, S. Lazerson

^*Corresponding author for this work

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

103 Citations (Scopus)

Abstract

We describe the construction of stepped-pressure equilibria as extrema of a multi-region, relaxed magnetohydrodynamic (MHD) energy functional that combines elements of ideal MHD and Taylor relaxation, and which we call MRXMHD. The model is compatible with Hamiltonian chaos theory and allows the three-dimensional MHD equilibrium problem to be formulated in a well-posed manner suitable for computation. The energy-functional is discretized using a mixed finite-element, Fourier representation for the magnetic vector potential and the equilibrium geometry; and numerical solutions are constructed using the stepped-pressure equilibrium code, SPEC. Convergence studies with respect to radial and Fourier resolution are presented.

Original language	English
Article number	112502
Journal	Physics of Plasmas
Volume	19
Issue number	11
DOIs	https://doi.org/10.1063/1.4765691
Publication status	Published - Nov 2012

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abstract = "We describe the construction of stepped-pressure equilibria as extrema of a multi-region, relaxed magnetohydrodynamic (MHD) energy functional that combines elements of ideal MHD and Taylor relaxation, and which we call MRXMHD. The model is compatible with Hamiltonian chaos theory and allows the three-dimensional MHD equilibrium problem to be formulated in a well-posed manner suitable for computation. The energy-functional is discretized using a mixed finite-element, Fourier representation for the magnetic vector potential and the equilibrium geometry; and numerical solutions are constructed using the stepped-pressure equilibrium code, SPEC. Convergence studies with respect to radial and Fourier resolution are presented.",

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AU - Hudson, S. R.

AU - Dewar, R. L.

AU - Dennis, G.

AU - Hole, M. J.

AU - McGann, M.

AU - Von Nessi, G.

AU - Lazerson, S.

PY - 2012/11

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AB - We describe the construction of stepped-pressure equilibria as extrema of a multi-region, relaxed magnetohydrodynamic (MHD) energy functional that combines elements of ideal MHD and Taylor relaxation, and which we call MRXMHD. The model is compatible with Hamiltonian chaos theory and allows the three-dimensional MHD equilibrium problem to be formulated in a well-posed manner suitable for computation. The energy-functional is discretized using a mixed finite-element, Fourier representation for the magnetic vector potential and the equilibrium geometry; and numerical solutions are constructed using the stepped-pressure equilibrium code, SPEC. Convergence studies with respect to radial and Fourier resolution are presented.

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Computation of multi-region relaxed magnetohydrodynamic equilibria

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