Computer algebra for automatically solving kinematic dynamo problems

Abstract

A computer algorithm was developed by which kinematic dynamo problems can be automatically solved for different combinations of velocity fields, velocity radial functions, starting magnetic fields, maximum degree, and number of divisions in the radius. The method of analysis is based on the scheme originally developed by Bullard and Gellman, with minor modifications. The program was applied to the Bullard-Gellman velocity field of T1 and S22c and the results agreed well with previously reported values. -from Author