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Theory of Perturbed Equilibria for Solving the Grad-Shafranov Equation
Author(s) -
A. Pletzer,
L. Zakharov
Publication year - 1999
Publication title -
osti oai (u.s. department of energy office of scientific and technical information)
Language(s) - English
Resource type - Reports
DOI - 10.2172/8933
Subject(s) - magnetohydrodynamic drive , tokamak , mathematics , rotational symmetry , perturbation (astronomy) , perturbation theory (quantum mechanics) , stability (learning theory) , classical mechanics , magnetohydrodynamics , physics , mathematical analysis , plasma , computer science , geometry , quantum mechanics , machine learning
The theory of perturbed magnetohydrodynamic equilibria is presented for different formulations of the tokamak equilibrium problem. For numerical codes, it gives an explicit Newton scheme for solving the Grad-Shafranov equation subject to different constraints. The problem of stability of axisymmetric modes is shown to be a particular case of the equilibrium perturbation theory

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