Scattering of Water Waves by a Floating Body with Two Vertically Attached Porous Walls

Abstract

In this study, the scattering focused hydrodynamic interaction between linear waves and a proposed structural system with a floating body and two attached vertical porous walls was investigated analytically and experimentally. By the application of two sets of orthogonal eigenfunctions and matching conditions, the velocity potential and associated unknown coefficients in each fluid region were theoretically derived. The free-surface elevations and wave loads, including the force components and moment, were also formulated. Additionally, wavetank tests were performed to confirm the derived solutions, especially the transmitted waves. The present solutions of the limiting cases in terms of reflection/transmission coefficients and hydrodynamic forces and moments were found to match well the other published results. To evaluate the performance of the proposed floating-body system, the variations of the reflection and transmission coefficients versus the relative water depth, the porous-effect parameters, and the relative size of the structure were investigated. The results, which show the role played by the porous walls on the hydrodynamic forces and moments, are presented and discussed.