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Type: Journal article
Title: Water wave transmission by an array of floating discs
Author: Bennetts, L.
Williams, T.
Citation: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2015; 471(2173):20140698-1-20140698-18
Publisher: The Royal Society of London
Issue Date: 2015
ISSN: 1364-5021
Statement of
L. G. Bennetts and T. D. Williams
Abstract: An experimental validation of theoretical models of regular-water-wave transmission through arrays of floating discs is presented. The experiments were conducted in a wave basin. The models are based on combined potential-flow and thin-plate theories, and the assumption of linear motions. A low-concentration array, in which discs are separated by approximately a disc diameter in equilibrium, and a high-concentration array, in which adjacent discs are almost touching in equilibrium, were used for the experiments. The proportion of incident-wave energy transmitted by the discs is presented as a function of wave period, and for different wave amplitudes. Results indicate the models predict wave-energy transmission accurately for small-amplitude waves and low-concentration arrays. Discrepancies for large-amplitude waves and high-concentration arrays are attributed to wave overwash of the discs and collisions between discs. Validation of model predictions of a solitary disc's rigid-body motions are also presented.
Keywords: water waves; wave scattering; wave–structure interactions
Description: Published 27 November 2014
Rights: © 2014 The Author(s) Published by the Royal Society. All rights reserved.
DOI: 10.1098/rspa.2014.0698
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Mathematical Sciences publications

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