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Title: Computation of multi-region relaxed magnetohydrodynamic equilibria

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.

Authors:
;  [1]; ; ; ; ;  [2]
  1. Princeton Plasma Physics Laboratory, P.O. Box 451, Princeton, New Jersey 08543 (United States)
  2. Plasma Research Laboratory, Research School of Physics and Engineering, Australian National University, Canberra ACT 0200 (Australia)
Publication Date:
OSTI Identifier:
22068890
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 19; Journal Issue: 11; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; CHAOS THEORY; CONVERGENCE; FINITE ELEMENT METHOD; FOURIER ANALYSIS; HAMILTONIANS; MAGNETOHYDRODYNAMICS; MHD EQUILIBRIUM; RESOLUTION; THREE-DIMENSIONAL CALCULATIONS

Citation Formats

Hudson, S. R., Lazerson, S., Dewar, R. L., Dennis, G., Hole, M. J., McGann, M., and Nessi, G. von. Computation of multi-region relaxed magnetohydrodynamic equilibria. United States: N. p., 2012. Web. doi:10.1063/1.4765691.
Hudson, S. R., Lazerson, S., Dewar, R. L., Dennis, G., Hole, M. J., McGann, M., & Nessi, G. von. Computation of multi-region relaxed magnetohydrodynamic equilibria. United States. doi:10.1063/1.4765691.
Hudson, S. R., Lazerson, S., Dewar, R. L., Dennis, G., Hole, M. J., McGann, M., and Nessi, G. von. Thu . "Computation of multi-region relaxed magnetohydrodynamic equilibria". United States. doi:10.1063/1.4765691.
@article{osti_22068890,
title = {Computation of multi-region relaxed magnetohydrodynamic equilibria},
author = {Hudson, S. R. and Lazerson, S. and Dewar, R. L. and Dennis, G. and Hole, M. J. and McGann, M. and Nessi, G. von},
abstractNote = {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.},
doi = {10.1063/1.4765691},
journal = {Physics of Plasmas},
issn = {1070-664X},
number = 11,
volume = 19,
place = {United States},
year = {2012},
month = {11}
}