Computation of multi-region relaxed magnetohydrodynamic equilibria

被引:115
作者
Hudson, S. R. [1 ]
Dewar, R. L. [2 ]
Dennis, G. [2 ]
Hole, M. J. [2 ]
McGann, M. [2 ]
von Nessi, G. [2 ]
Lazerson, S. [1 ]
机构
[1] Princeton Plasma Phys Lab, Princeton, NJ 08543 USA
[2] Australian Natl Univ, Plasma Res Lab, Res Sch Phys & Engn, Canberra, ACT 0200, Australia
基金
澳大利亚研究理事会;
关键词
SURFACE CURRENT EQUILIBRIA; MHD EQUILIBRIA; SPECTRAL CODE; PLASMA; STABILITY; ISLANDS; EXISTENCE; TRANSPORT; FIELD; RECONNECTION;
D O I
10.1063/1.4765691
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
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. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4765691]
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页数:18
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