RECONSTRUCTING THE SOLAR CORONAL MAGNETIC FIELD AS A FORCE-FREE MAGNETIC FIELD |
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| Authors: | Amari T. Aly J. J. Luciani J. F. Boulmezaoud T. Z. Mikic Z. |
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| Affiliation: | (1) Service d'Astrophysique (URA 2052 associée au CNRS), Centre d'Etudes de Saclay, CEA, DSM/DAPNIA, F-91191 Gif sur Yvette Cedex, France;(2) CNRS, L.P.S.H. Observatoire de Paris, F-92195 Meudon Principal Cedex, France;(3) Centre de Physique Théorique de l'Ecole Polytechnique, CNRS, F-91128 Palaiseau Cedex, France;(4) Laboratoire d'Analyse Numérique, Université P.& M. Curie, 75252 Paris Cedex 05, France;(5) S.A.I.C., 10260 Campus Point Drive, San Diego, CA, 92121, U.S.A |
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| Abstract: | ![]()
We present some preliminary results on different mathematical problems encountered in attempts to reconstruct the coronal magnetic field, assumed to be in a force-free state, from its values in the photosphere. We discuss the formulations associated with these problems, and some new numerical methods that can be used to get their approximate solutions. Both the linear constant- and the nonlinear cases are considered. We also discuss the possible use of dynamical 3D MHD codes to construct approximate solutions of the equilibrium force-free equations, which are needed for testing numerical extrapolation schemes. |
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