Abstract

In the analysis of magnetohydrodynamic (MHD) equilibria of toroidal plasmas, we have to use numerical methods because of the non-linear governing equation. For an analysis of a field reversed configuration (FRC) device, the problem is reduced to solve the Grad-Shafranov equation with free boundaries, which has been studied by many authors [1,2]. So far we have been studying MHD equilibria fixed boundary problems by using boundary element method (BEM) [3,4]. In this paper, we solve a free boundary problem for a model of a FRC device, and obtain converged solutions with an iteration method.

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