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The free boundary equilibrium problem for helically symmetric plasmas

Gardner, Henry James

Description

An iterative technique is described for solving the helically symmetric plasma equilibrium equations with a free boundary. The method involves an application of Green’s theorem , and has been formulated for the geometry of a heliac. Provision is made to incorporate the field of the external solenoid into the model, and the limits of applicability of the conventional Fourier-Bessel series representation of th a t field are investigated. The free boundary model is implemented as p art of an...[Show more]

dc.contributor.authorGardner, Henry James
dc.date.accessioned2017-12-20T03:17:23Z
dc.date.available2017-12-20T03:17:23Z
dc.date.copyright1986
dc.identifier.otherb1581701
dc.identifier.urihttp://hdl.handle.net/1885/138359
dc.description.abstractAn iterative technique is described for solving the helically symmetric plasma equilibrium equations with a free boundary. The method involves an application of Green’s theorem , and has been formulated for the geometry of a heliac. Provision is made to incorporate the field of the external solenoid into the model, and the limits of applicability of the conventional Fourier-Bessel series representation of th a t field are investigated. The free boundary model is implemented as p art of an inverse equilibrium version of the PEST code and is applied to the SHEILA heliac. Mercier and ballooning stability are examined for fixed and free boundary equilibria as a function of pressure and a deformation parameter which is taken to be the current in an extra helical winding near the centre of the configuration. The free boundary stability properties depend almost entirely on the existence of a vacuum magnetic well.
dc.format.extentiii, 134 p
dc.language.isoen
dc.subject.lcshPlasma confinement
dc.subject.lcshGreen's functions
dc.subject.lcshPlasma (Ionized gases)
dc.titleThe free boundary equilibrium problem for helically symmetric plasmas
dc.typeThesis (PhD)
local.contributor.supervisorDewar, R.L.
dcterms.valid1986
local.description.notesThesis (Ph.D.)--Australian National University, 1986. This thesis has been made available through exception 200AB to the Copyright Act.
local.type.degreeDoctor of Philosophy (PhD)
dc.date.issued1986
local.contributor.affiliationThe Australian National University
local.identifier.doi10.25911/5d6f9ef61782b
dc.date.updated2017-11-22T22:52:32Z
local.mintdoimint
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