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Semi-analytical solution for the water wave diffraction by arrays of truncated circular cylinders in front of a vertical wall
Institution:1. Department of Civil and Environmental Engineering, National University of Singapore, Kent Ridge, Singapore 117576, Singapore;2. Department of Engineering Science, University of Oxford, Parks Road, Oxford OX1 3PJ, UK
Abstract:The present study investigates the combined wave field that is induced by the continuous interaction of plane waves with an array of truncated circular cylinders in front of a rigid wall. The long-term goal of the study is the investigation of possible increase in the efficiency of cylindrical Wave Energy Converters (WECs) by putting in the vicinity of the array a barrier to propagation, a wall, that could assist the reflection of the incoming waves. The main task is to develop a generic solution method that is free of conceptual simplifications employed, e.g. by the method of images and the assumption of “pure” wave reflection. To cope with the set task, the proposed method relies on the semi-analytical formulation of the velocity potentials, while the solution is sought by combined expressions that involve polar and elliptical harmonics. The wall is represented as an elliptical cylinder with zero semi-minor axis. This assumption has eventually a beneficial effect to the underlying formulation given that it simplifies significantly the expansions of the involved diffraction potentials.
Keywords:Hydrodynamics  Elliptical and circular cylinders  Water wave diffraction  Vertical wall  Semi-analytical method  Addition theorems
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