A plasma Resistive Diffusion Model
Abstract
A selfconsistent study of the slow resistive evolution of an axisymmetric toroidal plasma gives rise to a set of transport equations involving one space variable which require input from the solution of a generalized differential equation obtained from the timedifferentiated GradShafranov equation. An iterative scheme is presented for the numerical solution of this generalized differential equation which overcomes the problems of the nonstandard boundary conditions. As an illustration this method is used to compute the instantaneous diffusion velocity of a class of model toroidal equilibria. A more detailed study is presented of the time evolution of this model in the cylindrical limit in order to illustrate techniques which can be used in a more complete toroidal simulation.
 Publication:

Journal of Computational Physics
 Pub Date:
 June 1983
 DOI:
 10.1016/00219991(83)901043
 Bibcode:
 1983JCoPh..50..409T