Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997azh....74..625a&link_type=abstract
Astronomicheskij Zhurnal, vol. 74, p. 625
Astronomy and Astrophysics
Astronomy
Solar Magnetic Field, Force-Free Magnetic Fields, Solar Activity, Root-Mean-Square Errors, Magnetic Field Configurations, Linear Equations, Astronomical Models, Fourier Transformation, Green'S Functions, Boundary Conditions, Algorithms
Scientific paper
Modeling the linear force-free fields above solar active regions involves the use of either Fourier transforms or Green functions. The modeling results depend on the a priori conditions specified for the edges of the volume studied. However, none of the methods that have been developed allow direct specification of the values for the field at the nonphotospheric boundaries of the volume. A method that allows this would make it possible to study the influence of lateral boundary conditions on the solution inside the volume of interest and to use a priori information about the field in the corona. Here, an algorithm is presented for calculation of the linear force-free field in a limited volume (in the shape of a parallelepiped, Omega) using the distribution of the Bz component of the field at all boundaries of Omega and the distribution of Bx and Bv in a frame made up by the intersection of a lateral surface of Omega and a single arbitrarily chosen plane z = const. The algorithm is verified using a numerical model, permitting calculation of the linear force-free field of a dipole in a half-space using exact formulas. The rms deviation of the calculated and analytical solutions at each layer along the z axis does not exceed 1 percent. Substituting potential boundary conditions for force-free conditions at the nonphotospheric border of the Omega volume leads to a substantial change in the resulting magnetic configuration.
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