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Type: Journal article
Title: A multi-mode approximation to wave scattering by ice sheets of varying thickness
Author: Bennetts, L.
Biggs, N.
Porter, D.
Citation: Journal of Fluid Mechanics, 2007; 579:413-443
Publisher: Cambridge Univ Press
Issue Date: 2007
ISSN: 0022-1120
Statement of
L. G. Bennetts, N. R. T. Biggs and D. Porter
Abstract: The 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.
Rights: Copyright © Cambridge University Press 2007
DOI: 10.1017/S002211200700537X
Appears in Collections:Aurora harvest 4
Mathematical Sciences publications

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