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Title: Water waves over arrays of horizontal cylinders: band gaps and Bragg resonance
Authors: Linton, C.M.
Keywords: Wave-structure interactions
Issue Date: 2011
Publisher: © Cambridge University Press
Citation: LINTON, C.M., 2011. Water waves over arrays of horizontal cylinders: band gaps and Bragg resonance. Journal of Fluid Mechanics, 670, pp.504-526.
Abstract: The existence of a band-gap structure associated with water waves propagating over infinite periodic arrays of submerged horizontal circular cylinders in deep water is established. Waves propagating at right angles to the cylinder axes and at an oblique angle are both considered. In each case an exact linear analysis is presented with numerical results obtained by solving truncated systems of equations. Calculations for large finite arrays are also presented, which show the effect of an incident wave having a frequency within a band gap – with the amount of energy transmitted across the array tending to zero as the size of the array is increased. The location of the band gaps is not as predicted by Bragg’s law, but we show that an approximate determination of their position can be made very simply if the phase of the transmission coefficient for a single cylinder is known.
Version: Published
DOI: 10.1017/S0022112010005471
URI: https://dspace.lboro.ac.uk/2134/15300
Publisher Link: http://dx.doi.org/10.1017/S0022112010005471
ISSN: 0022-1120
Appears in Collections:Published Articles (Maths)

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