Finite deformation in ideal magnetohydrodynamics

David MacTaggart

Research output: Contribution to journalArticle

1 Citation (Scopus)
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Abstract

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
Volume542
DOIs
Publication statusPublished - Jun 2012

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magnetohydrodynamics
magnetohydrostatics
magnetohydrodynamic simulation
magnetic field
simplification
magnetic fields
simulation
symmetry
physics
method

Cite this

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Finite deformation in ideal magnetohydrodynamics. / MacTaggart, David.

In: Astronomy and Astrophysics, Vol. 542, A97, 06.2012.

Research output: Contribution to journalArticle

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AB - 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.

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VL - 542

JO - Astronomy and Astrophysics Supplement Series

JF - Astronomy and Astrophysics Supplement Series

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