On the scattering and radiation of water waves by a finite dock floating over a rectangular trench

Abstract

In this study, the scattering and radiation of surface water waves by a finite dock floating over an asymmetric rectangular trench-type bottom topography are analyzed. The boundary value problems are handled for solutions analytically using a matched eigenfunction expansion method and numerically using the boundary element method. Various physical quantities associated with the scattering and radiation problems are studied for various values of wave and structural parameters. The results demonstrate that the scattering coefficients are significantly influenced due to the variation in dock length and depth ratios of the bottom trench. In the case of radiation problems, the dock length plays a crucial role in analyzing the radiation coefficients and wave excitation forces associated with each mode of motion. On the other hand, the effect of depth ratios of the bottom trench is negligible on the radiation coefficients. The present study reveals that the scattering of water waves by a floating dock over an abrupt change in bottom topography plays an important role in the construction of floating structures having more durability to resist harsh wave environments and reduce the wave impact near the seashore.