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Second-order water wave diffraction by an array of vertical cylinders

Published online by Cambridge University Press:  10 July 1999

š. MALENICA
Affiliation:
Bureau Veritas, 17bis Place des Re ets, La Défense 2 FR 92400, Courbevoie, France
R. EATOCK TAYLOR
Affiliation:
Department of Engineering Science, University of Oxford, OX1 3PJ, UK
J. B. HUANG
Affiliation:
Department of Engineering Science, University of Oxford, OX1 3PJ, UK

Abstract

The problem of second-order water wave diffraction of an incident monochromatic wave field by an array of bottom-mounted circular cylinders is solved by a semi-analytical approach. The solution for the second-order potential is obtained by combining eigenfunction expansions with an integral representation. Unlike the indirect approach for second-order forces (Lighthill 1979; Molin 1979), this approach gives complete information about local flow characteristics (pressure, velocities, wave elevation, etc.) thus providing a basis for solving the third-order problem. The results obtained are compared with other published data, and new detailed results, useful for benchmarking purposes, are given. Finally the influences of wave incidence, cylinder radius and cylinder configuration are considered. This leads to the suggestion that there exists a near-trapping phenomenon for the second-order wave in an array of cylinders, at half the wave frequency at which the corresponding linear near-trapped mode occurs.

Type
Research Article
Copyright
© 1999 Cambridge University Press

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