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On step approximations for water-wave problems

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journal contribution
posted on 23.02.2009, 14:37 authored by D.V. Evans, Christopher LintonChristopher Linton
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.

History

School

  • Science

Department

  • Mathematical Sciences

Citation

EVANS, D.V. and LINTON, C.M., 1994. On step approximations for water-wave problems. Journal of Fluid Mechanics, 278, pp.229-249

Publisher

© Cambridge University Press

Version

VoR (Version of Record)

Publication date

1994

Notes

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

ISSN

0022-1120

Language

en

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