Abstract
Abstract
Highlights
The interaction of water waves with impermeable vertical cylinders extending through the surface of a fluid has been an active area of study over many decades
The extension to multiple cylinders has been the subject of a number of papers (e.g. Siddorn & Eatock Taylor 2008; Zheng, Zhang & Iglesias 2018) and the theory for a finite number of arbitrarily placed cylinders in a water wave setting is described by Linton & Evans (1990), who followed and extended the original method of solution devised by Záviška (1913) and later Spring & Monkmeyer (1974) to show that the forces on the cylinders could be expressed in a simple way in terms of the solution of certain infinite systems of equations
When the damping is too large that it works like a solid lid placed on the surface of the structured cylinder, the angle response of the scattered far-field amplitude is lightly dependent on β1, indicating that the orientation of the plates is relatively unimportant as far as the overall effect of the cylinder is on wave diffraction
Summary
The interaction of water waves with impermeable vertical cylinders extending through the surface of a fluid has been an active area of study over many decades. When vertical axes of N ≥ 4 cylinders are spaced in a circular arrangement, Evans & Porter (1997) showed that large amplifications of the incident waves could occur inside the ring of cylinders. The application of effective boundary conditions matching the flow in the exterior of the cylinders to the uni-directional flow inside the structured cylinders leads to infinite systems of equations to be solved
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