Numerical solution of three-dimensional magnetic differential equations. (English) Zbl 0652.76070
A computer code is described that solves differential equations of the form \(B\cdot \nabla f=h\) for a single-valued solution f, given a toroidal three-dimensional divergence-free field B and a single-valued function h. The code uses a new alorithm that Fourier decomposes a given function in a set of flux coordinates in which the field lines are straight. The algorithm automatically adjusts the required integration lengths to compensate for proximity to low order rational surfaces. Applying this algorithm to the Cartesian coordinates defines a transformation to magnetic coordinates, in which the magnetic differential equation can be accurately solved. Our method is illustrated by calculating the Pfirsch- Schlüter currents for a stellarator.
MSC:
| 76W05 | Magnetohydrodynamics and electrohydrodynamics |
| 65Z05 | Applications to the sciences |
| 82D10 | Statistical mechanics of plasmas |
Keywords:
computer code; toroidal three-dimensional divergence-free field; Pfirsch- Schlüter currentsReferences:
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