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.
