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A singular finite element technique for calculating continuum damping of Alfvén eigenmodes

Bowden, G. W.; Hole, M. J.

Description

Damping due to continuum resonances can be calculated using dissipation-less ideal magnetohydrodynamics provided that the poles due to these resonances are properly treated. We describe a singular finite element technique for calculating the continuum damping of Alfvén waves. A Frobenius expansion is used to determine appropriate finite element basis functions on an inner region surrounding a pole due to the continuum resonance. The location of the pole due to the continuum resonance and mode...[Show more]

dc.contributor.authorBowden, G. W.
dc.contributor.authorHole, M. J.
dc.date.accessioned2015-04-15T03:32:11Z
dc.date.available2015-04-15T03:32:11Z
dc.identifier.issn1070-664X
dc.identifier.urihttp://hdl.handle.net/1885/13252
dc.description.abstractDamping due to continuum resonances can be calculated using dissipation-less ideal magnetohydrodynamics provided that the poles due to these resonances are properly treated. We describe a singular finite element technique for calculating the continuum damping of Alfvén waves. A Frobenius expansion is used to determine appropriate finite element basis functions on an inner region surrounding a pole due to the continuum resonance. The location of the pole due to the continuum resonance and mode frequency is calculated iteratively using a Galerkin method. This method is used to find the complex frequency and mode structure of a toroidicity-induced Alfvén eigenmode in a large aspect ratio circular tokamak and is shown to agree closely with a complex contour technique.
dc.publisherAmerican Institute of Physics
dc.rightshttp://www.sherpa.ac.uk/romeo/issn/1070-664X/..."Publishers version/PDF may be used on author's personal website, institutional website or institutional repository" from SHERPA/RoMEO site (as at 15/04/15)
dc.sourcePhysics of Plasmas
dc.titleA singular finite element technique for calculating continuum damping of Alfvén eigenmodes
dc.typeJournal article
local.identifier.citationvolume22
dcterms.dateAccepted2015-01-26
dc.date.issued2015-02-06
local.identifier.absfor020204 - Plasma Physics; Fusion Plasmas; Electrical Discharges
local.identifier.ariespublicationu4695161xPUB150
local.publisher.urlhttp://www.aip.org/
local.type.statusPublished Version
local.contributor.affiliationBowden, G. W., Research School of Physical Sciences and Engineering, Australian National University
local.contributor.affiliationHole, M. J., Research School of Physical Sciences and Engineering, Australian National University
local.bibliographicCitation.issue2
local.bibliographicCitation.startpage022116
local.bibliographicCitation.lastpage8
local.identifier.doi10.1063/1.4907792
dc.date.updated2015-12-08T10:47:50Z
local.identifier.scopusID2-s2.0-84923794297
CollectionsANU Research Publications

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