Finite deformation in ideal magnetohydrodynamics
Aims: In this paper we investigate the finite deformation of magnetic fields that can enable one to find complex analytical magnetohydrostatic (MHS) equilibria. These can be used as input to non-linear simulations. Methods: In order to find analytical equilibria, one normally has to consider simplifications or exploit a particular symmetry. Even with these measures, however, the desired equilibrium is often out of analytical reach. Here we describe a method that can work when traditional methods fail. It is based on the smooth deformation of simple magnetic fields into complex ones. Results: Examples are given, to demonstrate the method, that are of practical importance in coronal physics. This technique will prove useful in setting up the initial conditions of non-linear magnetohydrodynamic simulations.
RightsThis is the published version of this article. Reproduced with permission from the publisher. Published version (c)EDP Sciences, available from http://dx.doi.org/10.1051/0004-6361/201218785 and http://www.aanda.org/
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