Parallel Construction of Nonlinear Force-Free Fields
Abstract
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.
- Publication:
-
Solar Physics
- Pub Date:
- August 2004
- DOI:
- 10.1023/B:SOLA.0000043579.93988.6f
- Bibcode:
- 2004SoPh..222..247W
- Keywords:
-
- Boundary Condition;
- Nonlinear Equation;
- Biot;
- Large System;
- Numerical Approach