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Relaxed magnetohydrodynamics with ideal Ohm's law constraint

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dc.contributor.authorDewar, Robert
dc.contributor.authorQu, Zhisong
dc.date.accessioned2024-04-08T23:39:20Z
dc.date.issued2022
dc.date.updated2022-11-20T07:16:40Z
dc.description.abstractThe gap between a recently developed dynamical version of relaxed magnetohydrodynamics (RxMHD) and ideal MHD (IMHD) is bridged by approximating the zero-resistivity 'ideal' Ohm's law (IOL) constraint using an augmented Lagrangian method borrowed from optimization theory. The augmentation combines a pointwise vector Lagrange multiplier method and global penalty function method and can be used either for iterative enforcement of the IOL to arbitrary accuracy, or for constructing a continuous sequence of magnetofluid dynamics models running between RxMHD (no IOL) and weak IMHD (IOL almost everywhere). This is illustrated by deriving dispersion relations for linear waves on an MHD equilibrium.en_AU
dc.description.sponsorshipSimons Foundation/SFARI (560651, AB). R.L.D. and Z.Q. also acknowledge travel support from the Simons Foundation/SFARI (560651, AB).en_AU
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.issn0022-3778en_AU
dc.identifier.urihttp://hdl.handle.net/1885/316591
dc.language.isoen_AUen_AU
dc.publisherCambridge University Pressen_AU
dc.relationhttp://purl.org/au-research/grants/arc/DP170102606en_AU
dc.rights© 2022 The authorsen_AU
dc.sourceJournal of Plasma Physicsen_AU
dc.subjectplasma confinementen_AU
dc.subjectplasma dynamicsen_AU
dc.subjectplasma simulationen_AU
dc.titleRelaxed magnetohydrodynamics with ideal Ohm's law constrainten_AU
dc.typeJournal articleen_AU
local.bibliographicCitation.issue1en_AU
local.bibliographicCitation.lastpage37en_AU
local.bibliographicCitation.startpage1en_AU
local.contributor.affiliationDewar, Robert, College of Science, ANUen_AU
local.contributor.affiliationQu, Zhisong, College of Science, ANUen_AU
local.contributor.authoruidDewar, Robert, u8203580en_AU
local.contributor.authoruidQu, Zhisong, u5245081en_AU
local.description.embargo2099-12-31
local.description.notesImported from ARIESen_AU
local.identifier.absfor490301 - Experimental mathematicsen_AU
local.identifier.absfor510602 - Plasma physics; fusion plasmas; electrical dischargesen_AU
local.identifier.absfor490105 - Dynamical systems in applicationsen_AU
local.identifier.absseo280118 - Expanding knowledge in the mathematical sciencesen_AU
local.identifier.absseo170403 - Nuclear energyen_AU
local.identifier.absseo280120 - Expanding knowledge in the physical sciencesen_AU
local.identifier.ariespublicationa383154xPUB26086en_AU
local.identifier.citationvolume88en_AU
local.identifier.doi10.1017/S0022377821001355en_AU
local.identifier.scopusID2-s2.0-85124698788
local.publisher.urlhttps://www.cambridge.org/en_AU
local.type.statusPublished Versionen_AU

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