Numerical Solutions of Three-Dimensional Pressure-Bounded Magnetohydrostatic Flux Tubes |
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| Authors: | BS Hennig PS Cally |
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| Institution: | (1) Department of Mathematics and Statistics, Monash University, P.O. Box 28M, Victoria, 3800, Australia |
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| Abstract: | We present a three-dimensional technique for the solution of the magnetohydrostatic equations when we are modeling structures
bounded by a current sheet that is free to move to satisfy pressure balance. The magnetic field is expressed in terms of Euler
potentials and the equations are transformed to flux coordinates, greatly simplifying the problem of locating the free boundary.
Multi-grid techniques are used to rapidly solve the resulting nonlinear elliptic partial differential equations. The method
is tested against Low's (1982) exact solution of a bipolar plasma loop. It is shown that fast, accurate solutions can be found. |
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