Three Dimensional Computation of Magnetohydrodynamic Equilibrium of Toroidal Pla

Cover Three Dimensional Computation of Magnetohydrodynamic Equilibrium of Toroidal Pla
Three Dimensional Computation of Magnetohydrodynamic Equilibrium of Toroidal Pla
Octavio L Betancourt
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, -4 e = min (10, 0. 1 £p/c, ) where min(a, b) denotes the minimum between a and b. The choice of the scale factor c^ is due to the fact that the biggest error in Laplace's equation occurs in the potential ii, , which must be multiplied by the factor c, .
The various convergence factors which occur in the formulation of the problem were determined by trial and error to produce a convergent scheme. For the relaxation factor to in the successive overrelaxation method we used 1. 9 for the vacuum r
...egion, and 1. 8 for the plasma region. For the relaxation factor X in the steepest descent method we used values ranging from 0. 02 to 0. 06.
5. 2. Description of the Mesh Size and Computing Time .
For our production runs we have used a mesh with 30 points in the and 9 directions and 12 points in the radial direction, six of which lie in the vacuum region and the other six in the plasma region. The program was -48- designed by trying to minimize the core space needed. For the mesh size just described, the amount of core needed is 110 K which is one-third of the total core available in the CDC 6600 computer.


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