Computation of multi-region relaxed magnetohydrodynamic equilibria

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 thre...

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Bibliographic Details
Published in:arXiv.org 2012-11
Main Authors: Hudson, S R, Dewar, R L, Dennis, G, Hole, M J, McGann, M, G von Nessi, Lazerson, S
Format: Article
Language:English
Subjects:
Chaos theory
Computational fluid dynamics
Equilibrium
Finite element method
Fluid flow
Magnetic vector potentials
Magnetohydrodynamics
Mathematical models
Three dimensional models
Well posed problems
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1211.3072