Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006apj...638.1162y&link_type=abstract
The Astrophysical Journal, Volume 638, Issue 2, pp. 1162-1168.
Astronomy and Astrophysics
Astronomy
27
Sun: Activity, Sun: Atmosphere, Sun: Corona, Sun: Flares, Sun: Magnetic Fields, Sun: Sunspots
Scientific paper
A direct boundary integral formulation for a force-free magnetic field with finite energy content in the semispace above the Sun is presented. This is a new formulation for a three-dimensional nonlinear force-free field in which the boundary data can easily be incorporated. We have proposed an optimal method to numerically find the non-constant-α force-free field solution at any position in semispace. Therefore, the present computational procedure for the new representation is actually a pointwise method, so that no volume integration is needed. A test case study has been carried out to demonstrate the convergence, accuracy, and efficiency of the numerical procedures. The computational procedure is quite robust. The agreement between numerical and exact results validates the correctness and merits of the new formulation and computational procedure proposed. The application of the new direct boundary integral formulation to practical solar magnetic field problems is straightforward and prospective.
Li Zhuheng
Yan Yihua
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