Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/105217
Citations | ||
Scopus | Web of Science® | Altmetric |
---|---|---|
?
|
?
|
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 |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.