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.
5510-5523
Wright, Alex, James
4960f51d-7e48-4b59-91d9-359af6d559c1
Hawke, Ian
fc964672-c794-4260-a972-eaf818e7c9f4
February 2020
Wright, Alex, James
4960f51d-7e48-4b59-91d9-359af6d559c1
Hawke, Ian
fc964672-c794-4260-a972-eaf818e7c9f4
Wright, Alex, James and Hawke, Ian
(2020)
A resistive extension for ideal MHD.
Monthly Notices of the Royal Astronomical Society, 491 (4), .
(doi:10.1093/mnras/stz2779).
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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stz2779
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Accepted/In Press date: 1 October 2019
e-pub ahead of print date: 3 October 2019
Published date: February 2020
Identifiers
Local EPrints ID: 435991
URI: http://eprints.soton.ac.uk/id/eprint/435991
ISSN: 1365-2966
PURE UUID: 2614e046-70f1-45c4-b888-797547a51d72
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Date deposited: 26 Nov 2019 17:30
Last modified: 17 Mar 2024 03:02
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Author:
Alex, James Wright
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