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Using Magnetic Helicity, Topology, and Geometry to Investigate Complex Magnetic Fields

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Topics in Magnetohydrodynamic Topology, Reconnection and Stability Theory

Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 591))

Abstract

The complexity of magnetic fields is one of the essential ingredients of any magnetohydrodynamic study, with analysis depending heavily on 3D visualization. We discuss several approaches that enable us to analyze 3D magnetic fields in a synthetic manner. These approaches make use of the topology and geometry of magnetic fields and, in particular, the measure of magnetic helicity.

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Notes

  1. 1.

    In solar physics, closed fields have non-trivial normal components at a boundary. In theoretical studies of helicity, which will be discussed later, such fields are referred to as open. We will use both definitions which will be made clear by the context.

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  1. LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Univ. Paris Diderot, Sorbonne Paris Cité, Meudon, France

    Étienne Pariat

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  1. Étienne Pariat
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Correspondence to Étienne Pariat .

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  1. School of Mathematics and Statistics, University of Glasgow, Glasgow, UK

    David MacTaggart

  2. College of Engineering, Mathematics and Physical Sciences, University of Exeter, Exeter, UK

    Andrew Hillier

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Pariat, É. (2020). Using Magnetic Helicity, Topology, and Geometry to Investigate Complex Magnetic Fields. In: MacTaggart, D., Hillier, A. (eds) Topics in Magnetohydrodynamic Topology, Reconnection and Stability Theory. CISM International Centre for Mechanical Sciences, vol 591. Springer, Cham. https://doi.org/10.1007/978-3-030-16343-3_5

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  • DOI: https://doi.org/10.1007/978-3-030-16343-3_5

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