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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/4263

Title: On step approximations for water-wave problems
Authors: Evans, D.V.
Linton, C.M.
Issue Date: 1994
Publisher: © Cambridge University Press
Citation: EVANS, D.V. and LINTON, C.M., 1994. On step approximations for water-wave problems. Journal of Fluid Mechanics, 278, pp.229-249
Abstract: The scattering of water waves by a varying bottom topography is considered using two-dimensional linear water-wave theory. A new approach is adopted in which the problem is first transformed into a uniform strip resulting in a variable free-surface boundary condition. This is then approximated by a finite number of sections on which the free-surface boundary condition is assumed to be constant. A transition matrix theory is developed which is used to relate the wave amplitudes at fm. The method is checked against examples for which the solution is known, or which can be computed by alternative means. Results show that the method provides a simple accurate technique for scattering problems of this type.
Description: This journal article was published in the journal, Journal of Fluid Mechanics [© Cambridge University Press]. The definitive version is available at: http://dx.doi.org/10.1017/S002211209400368X
Version: Published
DOI: 10.1017/S002211209400368X
URI: https://dspace.lboro.ac.uk/2134/4263
ISSN: 0022-1120
Appears in Collections:Published Articles (Maths)

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