The validity of the boundary integral equation for magnetic field extrapolation in open space above a spherical surface

Details The validity of the boundary integral equation for magnetic field extrapolation in open space above a spherical surface The validity of the boundary integral equation for magnetic field extrapolation in open space above a spherical surface

Jun 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006mnras.369..207h&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Volume 369, Issue 1, pp. 207-215.

Astronomy and Astrophysics

Astronomy

6

Sun: Atmosphere: Sun: Corona: Sun: Magnetic Fields, Sun: Atmosphere, Sun: Corona, Sun: Magnetic Fields

Scientific paper

The boundary integral equation (BIE) is a representation for the force-free magnetic field in the solar atmosphere, which is proposed by Yan & Sakurai. By using the force-free solutions given by Low & Lou, the validity of this method for magnetic extrapolation in open space above a spherical surface is checked. The magnetic fields selected for the examination have different ranges of α values that represent the extents to which the force-free fields deviate from the potential field. The field points selected for calculation cover the altitude ranging from 1.1R0 to 2.5R0, where R0 denotes the radius of the spherical surface. The results of the examination support the application of the BIE method to large-scale and global extrapolation of the force-free magnetic field in open space above a spherical surface. The calculations also show that, for a complex force-free field with a large range of α values, the volume integral equation in the BIE method has a poor convergence property and more computing time is needed to obtain a meaningful result, whereas the altitude of the field point does not influence the convergence speed.

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