Non-axisymmetric, multi-region relaxed magnetohydrodynamic equilibrium solutions

S. R. Hudson; R. L. Dewar; M. J. Hole; M. McGann

doi:10.1088/0741-3335/54/1/014005

Non-axisymmetric, multi-region relaxed magnetohydrodynamic equilibrium solutions

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

^*Corresponding author for this work

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

30 Citations (Scopus)

Abstract

We describe a magnetohydrodynamic constrained energy functional for equilibrium calculations that combines the topological constraints of ideal MHD with elements of Taylor relaxation. Extremizing states allow for partially chaotic magnetic fields and non-trivial pressure profiles supported by a discrete set of ideal interfaces with irrational rotational transforms. Numerical solutions are computed using the Stepped Pressure Equilibrium Code, and benchmarks and convergence calculations are presented.

Original language	English
Article number	014005
Journal	Plasma Physics and Controlled Fusion
Volume	54
Issue number	1
DOIs	https://doi.org/10.1088/0741-3335/54/1/014005
Publication status	Published - Jan 2012

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abstract = "We describe a magnetohydrodynamic constrained energy functional for equilibrium calculations that combines the topological constraints of ideal MHD with elements of Taylor relaxation. Extremizing states allow for partially chaotic magnetic fields and non-trivial pressure profiles supported by a discrete set of ideal interfaces with irrational rotational transforms. Numerical solutions are computed using the Stepped Pressure Equilibrium Code, and benchmarks and convergence calculations are presented.",

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AB - We describe a magnetohydrodynamic constrained energy functional for equilibrium calculations that combines the topological constraints of ideal MHD with elements of Taylor relaxation. Extremizing states allow for partially chaotic magnetic fields and non-trivial pressure profiles supported by a discrete set of ideal interfaces with irrational rotational transforms. Numerical solutions are computed using the Stepped Pressure Equilibrium Code, and benchmarks and convergence calculations are presented.

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Non-axisymmetric, multi-region relaxed magnetohydrodynamic equilibrium solutions

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