Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/105217
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Type: Journal article
Title: Localisation of Rayleigh-Bloch waves and damping of resonant loads on arrays of vertical cylinders
Author: Bennetts, L.
Peter, M.
Montiel, F.
Citation: Journal of Fluid Mechanics, 2017; 813:508-527
Publisher: Cambridge University Press
Issue Date: 2017
ISSN: 0022-1120
1469-7645
Statement of
Responsibility: 
Luke G. Bennetts, Malte A. Peter and Fabien Montiel
Abstract: Linear potential-flow theory is used to study loads imposed on finite line arrays of rigid, bottom-mounted, surface-piercing, vertical cylinders by surface water waves. Perturbations in the cylinder locations are shown to damp the resonant loads experienced by the unperturbed array. A relationship is established between the damping and the phenomenon of Anderson localisation. Specifically, the Rayleigh–Bloch waves responsible for the resonant loads are shown to attenuate along the array when perturbations are introduced, resulting in localisation when the attenuation rate is sufficiently large with respect to the array length. Further, an efficient solution method for line arrays is introduced that captures the Rayleigh–Bloch wave modes supported by unperturbed arrays from the scattering characteristics of an individual cylinder.
Keywords: Surface gravity waves; wave scattering; waves in random media
Rights: © 2017 Cambridge University Press
DOI: 10.1017/jfm.2016.855
Grant ID: http://purl.org/au-research/grants/arc/DE130101571
Published version: http://dx.doi.org/10.1017/jfm.2016.855
Appears in Collections:Aurora harvest 3
Mathematical Sciences publications

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