A multi-mode approximation to wave scattering by ice sheets of varying thickness

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dc.contributor.authorBennetts, L.
dc.contributor.authorBiggs, N.
dc.contributor.authorPorter, D.
dc.date.issued2007
dc.description.abstractThe problem of linear wave scattering by an ice sheet of variable thickness floating on water of variable quiescent depth is considered by applying the Rayleigh–Ritz method in conjunction with a variational principle. By using a multi-mode expansion to approximate the velocity potential that represents the fluid motion, Porter & Porter (J. Fluid Mech. vol. 509, 2004, p. 145) is extended and the solution of the problem may be obtained to any desired accuracy. Explicit solution methods are formulated for waves that are obliquely incident on two-dimensional geometry, comparisons are made with existing work and a range of new examples that includes both total and partial ice-cover is considered.
dc.description.statementofresponsibilityL. G. Bennetts, N. R. T. Biggs and D. Porter
dc.identifier.citationJournal of Fluid Mechanics, 2007; 579:413-443
dc.identifier.doi10.1017/S002211200700537X
dc.identifier.issn0022-1120
dc.identifier.issn1469-7645
dc.identifier.orcidBennetts, L. [0000-0001-9386-7882]
dc.identifier.urihttp://hdl.handle.net/2440/75182
dc.language.isoen
dc.publisherCambridge Univ Press
dc.rightsCopyright © Cambridge University Press 2007
dc.source.urihttps://doi.org/10.1017/s002211200700537x
dc.titleA multi-mode approximation to wave scattering by ice sheets of varying thickness
dc.typeJournal article
pubs.publication-statusPublished

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