Nonlinear numerical algorithms for studying tearing modes
Abstract
The numerical methods that have recently been developed to study the nonlinear evolution of tearing modes in tokamaks are summarized. The essential features of tearing modes can be described by the resistive MHD equations. The numerical algorithms described here are based on a reduced set of twodimensional resistive MHD equations that are numerically tractable. Two distinct types of numerical methods are described in detail. In the first method, referred to as the MASSLESS algorithm, the inertia is neglected. On the other hand, in the second method, referred to as the MASS algorithm, the inertia is retained and consequently the scheme is capable of handling a larger variety of problems. Codes based on these two algorithms give similar results for the nonlinear evolution of the m = 2 tearing mode.
 Publication:

Theoretical and Computational Plasma Physics
 Pub Date:
 1978
 Bibcode:
 1978tcpp.proc...79W
 Keywords:

 Algorithms;
 Digital Simulation;
 Magnetohydrodynamic Stability;
 Nonlinear Equations;
 Tokamak Devices;
 Controlled Fusion;
 Energy Technology;
 Finite Difference Theory;
 Modal Response;
 Numerical Stability;
 Perturbation Theory;
 Plasma Physics