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Numerical modeling of solar magnetostatic structures bounded by current sheets
Pizzo, V. J.
AA(High Altitude Observatory, Boulder, CO)
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 365, Dec. 20, 1990, p. 764-777. (ApJ Homepage)
Publication Date:
Solar Physics
NASA/STI Keywords:
Computerized Simulation, Current Sheets, Magnetostatics, Solar Magnetic Field, Sunspots, Computational Grids, Equilibrium Equations, Magnetic Field Configurations, Magnetic Flux, Stellar Models
Bibliographic Code:


A numerical method for efficiently determining the magnetostatic equilibrium configuration of erupted solar flux concentrations, such as sunspots and flux tubes, is presented. The magnetic structures are taken to be approximately vertically oriented and axisymmetric in the surface layers and are assumed to be isolated from the surrounding photosphere by a vanishingly thin current sheet. Since the location of the current sheet is initially unknown, the final structure is generated iteratively as a free-surface problem, with the magnetic configuration for each iterate being obtained from the horizontal force balance equation, subject to the appropriate boundary conditions. Multigrid methods are used at each stage to solve the equilibrium equation, which is mapped algebraically into a body-fitted coordinate system via transfinite interpolation techniques. Several model flux tubes and sunspots are computed to illustrate the procedure, and the accuracy of the numerical method is assessed against exact analytic solutions.

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Database: Astronomy
arXiv e-prints