Scattering of surface waves by vertical truncated structured cylinders


by R. Porter, S. Zheng & H. Liang (submitted, Oct 2021)

This paper describes the solution to the problem of scattering of plane incident waves on water of constant depth by a bottom mounted circular cylinder extending partially through the depth which has an internal structure comprised of closely-spaced thin vertical barriers allowing fluid to flow in the narrow gaps between. The problem solved under fully depth dependent linearised water wave theory using an effective medium equation to describe the flow in cylinder and effective boundary conditions to match that flow to the fluid region outside the cylinder. The theory is compared with a shallow water approximation based on the recent work of Marangos & Porter (2021) and with an accurate computation of an accurate representation of the geometry using discrete set of plates. Other results highlight the resonant directional lensing effects of the type of cylindrical plate array device.

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