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Title: D-shaped equilibrium for the Grad-Shafranov equation

We present a particular solution for D-shaped equilibrium from the solution of the Grad-Shafranov equation. We review a method we introduced on a previous work, on which we depart from Palumbo's method and we generalize the method for an arbitrary expansion of the magnetic flux. We show that for a particular class of solutions we can obtain an exact analytical D-shaped magnetic surface. We also show that further expansion of this method leads to an overdetermined problem, with more equations than unknowns.
Authors:
;  [1]
  1. Department of Physics, Universidade Federal de Juiz de Fora–UFJF, 36036-900 Juiz de Fora, Minas Gerais (Brazil)
Publication Date:
OSTI Identifier:
22218536
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 20; Journal Issue: 10; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; CALCULATION METHODS; EQUILIBRIUM; GRAD-SHAFRANOV EQUATION; MAGNETIC FLUX; MAGNETIC SURFACES; MAGNETOHYDRODYNAMICS; MATHEMATICAL SOLUTIONS; PLASMA