On self and mutual winding helicity

Candelaresi, S. , Hornig, G., MacTaggart, D. and Simitev, R. D. (2021) On self and mutual winding helicity. Communications in Nonlinear Science and Numerical Simulation, 103, 106015. (doi: 10.1016/j.cnsns.2021.106015)

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Abstract

The topological underpinning of magnetic fields connected to a planar boundary is naturally described by field line winding. This observation leads to the definition of winding helicity, which is closely related to the more commonly calculated relative helicity. Winding helicity, however, has several advantages, and we explore some of these in this work. In particular, we show, by splitting the domain into distinct subregions, that winding helicity can be decomposed naturally into “self” and “mutual” components and that these quantities can be calculated, in practice, for magnetic fields with complex geometries and topologies. Further, winding provides a unified topological description from which known expressions for self and mutual helicity can be readily derived and generalized. We illustrate the application of calculating self and mutual winding helicities in a simulation of an evolving magnetic field with non-trivial field line topology.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Mactaggart, Dr David and Simitev, Professor Radostin and Candelaresi, Dr Simon
Authors: Candelaresi, S., Hornig, G., MacTaggart, D., and Simitev, R. D.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Communications in Nonlinear Science and Numerical Simulation
Publisher:Elsevier
ISSN:1007-5704
ISSN (Online):1878-7274
Published Online:29 August 2021
Copyright Holders:Copyright © 2021 Elsevier B.V.
First Published:First published in Communications in Nonlinear Science and Numerical Simulation 103: 106015
Publisher Policy:Reproduced in accordance with the publisher copyright policy

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