Parallel Construction of Nonlinear Force-Free Fields

Physics

Scientific paper

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Scientific paper

A numerical approach to calculating nonlinear force-free fields is presented. The approach is similar to Sakurai (1981) being a current-field iteration scheme using the integral solution to Ampere's law (the Biot-Savart law). However, the method of solution presented here is simpler than Sakurai's approach, in that the field is directly constructed on a grid without the intermediate solution of a large system of nonlinear equations. The method also permits straightforward implementation on parallel computers. Results of applying the method to a number test cases, including boundary conditions with substantial currents, are presented.

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