Computation of multi-region relaxed magnetohydrodynamic equilibria
Autor: | Samuel Lazerson, Graham Dennis, G. von Nessi, Stuart R. Hudson, Robert L. Dewar, Matthew Hole, M. McGann |
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Jazyk: | angličtina |
Rok vydání: | 2012 |
Předmět: |
Physics
Discretization Computation FOS: Physical sciences Condensed Matter Physics Physics - Plasma Physics Plasma Physics (physics.plasm-ph) symbols.namesake Fourier transform symbols Applied mathematics Magnetohydrodynamic drive Magnetic potential Magnetohydrodynamics Hamiltonian (quantum mechanics) Energy functional |
Popis: | 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. |
Databáze: | OpenAIRE |
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