Study on Two Methods for Nonlinear Force-Free Extrapolation Based on Semi-Analytical Field

Details Study on Two Methods for Nonlinear Force-Free Extrapolation Based on Semi-Analytical Field Study on Two Methods for Nonlinear Force-Free Extrapolation Based on Semi-Analytical Field

Mar 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011soph..269...41l&link_type=abstract

Solar Physics, Volume 269, Issue 1, pp.41-57

Physics

1

Active Regions, Magnetic Fields, Photosphere

Scientific paper

In this paper, two semi-analytical solutions of force-free fields (Low and Lou, Astrophys. J. 352, 343, 1990) have been used to test two nonlinear force-free extrapolation methods. One is the boundary integral equation (BIE) method developed by Yan and Sakurai ( Solar Phys. 195, 89, 2000), and the other is the approximate vertical integration (AVI) method developed by Song et al. ( Astrophys. J. 649, 1084, 2006). Some improvements have been made to the AVI method to avoid the singular points in the process of calculation. It is found that the correlation coefficients between the first semi-analytical field and extrapolated field using the BIE method, and also that obtained by the improved AVI method, are greater than 90% below a height 10 of the 64×64 lower boundary. For the second semi-analytical field, these correlation coefficients are greater than 80% below the same relative height. Although differences between the semi-analytical solutions and the extrapolated fields exist for both the BIE and AVI methods, these two methods can give reliable results for heights of about 15% of the extent of the lower boundary.

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