Simulated annealing for three-dimensional low-beta reduced MHD equilibria in cylindrical geometry

Simulated annealing (SA) is applied for three-dimensional (3D) equilibrium calculation of ideal, low-beta reduced MHD in cylindrical geometry. The SA is based on the theory of Hamiltonian mechanics. The dynamical equation of the original system, low-beta reduced MHD in this study, is modified so tha...

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Bibliographic Details
Published in:Plasma physics and controlled fusion 2017-03, Vol.59 (5), p.54001
Main Authors: Furukawa, M, Morrison, P J
Format: Article
Language:English
Subjects:
magnetohydrodynamics
Physics
simulated annealing
stationary state
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Summary:Simulated annealing (SA) is applied for three-dimensional (3D) equilibrium calculation of ideal, low-beta reduced MHD in cylindrical geometry. The SA is based on the theory of Hamiltonian mechanics. The dynamical equation of the original system, low-beta reduced MHD in this study, is modified so that the energy changes monotonically while preserving the Casimir invariants in the artificial dynamics. An equilibrium of the system is given by an extremum of the energy, therefore SA can be used as a method for calculating ideal MHD equilibrium. Previous studies demonstrated that the SA succeeds to lead to various MHD equilibria in two-dimensional rectangular domain. In this paper, the theory is applied to 3D equilibrium of ideal, low-beta reduced MHD. An example of equilibrium with magnetic islands, obtained as a lower energy state, is shown. Several versions of the artificial dynamics are developed that can effect smoothing. The smoothing effect is examined in the numerical results.
ISSN:0741-3335
1361-6587
DOI:10.1088/1361-6587/aa5863