A Fast Current-Field Iteration Method for Calculating Nonlinear Force-Free Fields

Details A Fast Current-Field Iteration Method for Calculating Nonlinear Force-Free Fields A Fast Current-Field Iteration Method for Calculating Nonlinear Force-Free Fields

Oct 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006soph..238...29w&link_type=abstract

Solar Physics, Volume 238, Issue 1, pp.29-39

Physics

20

Scientific paper

Existing methods for calculating nonlinear force-free magnetic fields are slow, and are likely to be inadequate for reconstructing coronal magnetic fields based on high-resolution vector magnetic field data from a new generation of spectro-polarimetric instruments. In this paper a new implementation of the current-field iteration method is presented, which is simple, fast, and accurate. The time taken by the method scales as N 4, for a three-dimensional grid with N 3 points. The method solves the field-updating part of the iteration by exploiting a three-dimensional Fast Fourier Transform solution of Ampere’s law with a current density field constructed to satisfy the required boundary conditions, and uses field line tracing to solve the current-updating part of the iteration. The method is demonstrated in application to a known nonlinear force-free field and to a bipolar test case.

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