Finite deformation in ideal magnetohydrodynamics

David MacTaggart

    Research output: Contribution to journalArticlepeer-review

    1 Citation (Scopus)
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    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.
    Original languageEnglish
    Article numberA97
    Number of pages6
    JournalAstronomy and Astrophysics
    Publication statusPublished - Jun 2012


    • Magnetohydrodynamics
    • Magnetic fields
    • Analytical
    • Finite deformation
    • Continuum mechanics
    • MHD


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