Two-dimensional magnetohydrodynamic simulation of toroidal pinches II: Belt pinches

The equations and method of solution used in a previous paper [Phys. Fluids 18, 1277 (1975)] for the simulation of toroidal screw pinches have been modified to simulate toroidal belt pinches and high-beta tokamaks of rectangular cross sections. In addition to accounting for the geometric difference between a belt pinch and a screw pinch, this work permits the inclusion of vertical fields, while the previous work dealt only with conducting shells. Calculated results have been compared with the experimental results of the Belt Pinch I of Garching, and the agreement is again very good. The present code has been used extensively in the design and prediction of the Torus I experiment at Columbia.