The method of projected characteristics for the evolution of magnetic arches

Details The method of projected characteristics for the evolution of magnetic arches The method of projected characteristics for the evolution of magnetic arches

Jun 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...179..354n&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 179, no. 1-2, June 1987, p. 354-370.

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28

Magnetic Field Configurations, Solar Magnetic Field, Stellar Magnetic Fields, Computational Astrophysics, Coronal Loops, Magnetohydrodynamics, Method Of Characteristics

Scientific paper

A numerical method of solving fully nonlinear MHD equation is described. In particular, the formulation based on the newly developed method of projected characteristics (Nakagawa, 1981) suitable to study the evolution of magnetic arches due to motions of their foot-points is presented. The final formulation is given in the form of difference equations, therefore, the analysis of numerical stability is also presented. Further, the most important derivation of physically self-consistent, time-dependent boundary conditions (i.e., the evolving boundary equations) is given in detail, and some results obtained with such boundary equations are reported.

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