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A resistive extension for ideal MHD

A resistive extension for ideal MHD
A resistive extension for ideal MHD
We present an extension to the special relativistic, ideal magnetohydrodynamics (MHD) equations, designed to capture effects due to resistivity. The extension takes the simple form of an additional source term which, when implemented numerically, is shown to emulate the behaviour produced by a fully resistive MHD description for a range of initial data. The extension is developed from first principle arguments, and thus requires no fine tuning of parameters, meaning it can be applied to a wide range of dynamical systems. Furthermore, our extension does not suffer from the same stiffness issues arising in resistive MHD, and thus can be evolved quickly using explicit methods, with performance benefits of roughly an order of magnitude compared to current methods.
0035-8711
Wright, Alex, James
4960f51d-7e48-4b59-91d9-359af6d559c1
Hawke, Ian
fc964672-c794-4260-a972-eaf818e7c9f4
Wright, Alex, James
4960f51d-7e48-4b59-91d9-359af6d559c1
Hawke, Ian
fc964672-c794-4260-a972-eaf818e7c9f4

Wright, Alex, James and Hawke, Ian (2019) A resistive extension for ideal MHD. Monthly Notices of the Royal Astronomical Society. (doi:10.1093/mnras/stz2779). (In Press)

Record type: Article

Abstract

We present an extension to the special relativistic, ideal magnetohydrodynamics (MHD) equations, designed to capture effects due to resistivity. The extension takes the simple form of an additional source term which, when implemented numerically, is shown to emulate the behaviour produced by a fully resistive MHD description for a range of initial data. The extension is developed from first principle arguments, and thus requires no fine tuning of parameters, meaning it can be applied to a wide range of dynamical systems. Furthermore, our extension does not suffer from the same stiffness issues arising in resistive MHD, and thus can be evolved quickly using explicit methods, with performance benefits of roughly an order of magnitude compared to current methods.

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Accepted/In Press date: 3 October 2019

Identifiers

Local EPrints ID: 435991
URI: http://eprints.soton.ac.uk/id/eprint/435991
ISSN: 0035-8711
PURE UUID: 2614e046-70f1-45c4-b888-797547a51d72
ORCID for Ian Hawke: ORCID iD orcid.org/0000-0003-4805-0309

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Date deposited: 26 Nov 2019 17:30
Last modified: 16 May 2020 00:34

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