TECHNICAL PAPERS
Mar 1, 1999

Water-Wave Diffraction by Thin Porous Breakwater

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 125, Issue 2

Abstract

The linearized theory of water waves is used to study the diffraction of an incident plane wave by a thin porous vertical breakwater of semi-infinite extent. Under the assumption that the wavelength is much greater than the breakwater thickness, the breakwater is replaced by a thin permeable barrier and a suitable boundary condition applied on the barrier. An explicit solution, found by the Wiener-Hopf technique, is presented for the barrier diffraction problem and then easily computable asymptotic forms are derived. Results are presented to illustrate the effects of porosity and variable angle of wave incidence.

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References

1.
Noble, B. ( 1988). Methods based on the Wiener-Hopf technique, 2nd Ed., Chelsea Publishing, New York.
2.
Penny, W. G., and Price, A. T. ( 1952). “The diffraction theory of sea waves and the shelter afforded by breakwaters.” Philosophical Trans. Royal Soc. London A, London, 244, 236–253.
3.
Sollitt, C. K., and Cross, R. H. ( 1972). “Wave transmission through porous breakwaters.” Proc., 13th Conf. on Coast. Engrg., ASCE, New York, 1827–1846.
4.
Yu, X. (1995). “Diffraction of water waves by porous breakwaters.”J. Wtrwy., Port, Coast., and Oc. Engrg., ASCE, 121(6), 275–282.
5.
Yu, X., and Togashi, H. ( 1996). “Combined diffraction and transmission of water waves around a porous breakwater gap.” Proc., 25th Conf. on Coast. Engrg., ASCE, New York, 2063–2076.

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Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 125Issue 2March 1999
Pages: 66 - 70

History

Published online: Mar 1, 1999
Published in print: Mar 1999

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P. McIver
Reader in Appl. Mathematics, Dept. of Mathematical Sci., Loughborough Univ., Loughborough, Leics, LE11 3TU, U.K.

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