Computation of multi-region relaxed magnetohydrodynamic equilibria
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Authors
Hudson, S. R.
Dewar, R. L.
Dennis, G.
Hole, M. J.
McGann, M.
von Nessi, G.
Lazerson, S.
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American Institute of Physics
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.
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Physics of Plasmas
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