Oblique wave interaction with a floating structure near a wall with stepped bottom

Diffraction of obliquely incident waves by a floating structure near a wall with step-type bottom topography is investigated under the three-dimensional small amplitude wave theory. Full solution of the problem under the potential flow approach is obtained by the matched eigenfunction expansion method. The wave-induced forces on the structure and on the wall, the reflection and transmission characteristics and the wave elevations in the free surface regions are studied for different incident wave angles, water depth ratios and dimension of the structure and the distance of the wall from the center of the structure. The problem is reformulated under shallow water approximations and results are compared with the finite depth results.

► Diffraction of obliquely incident waves by floating structure near a wall with step-type bottom topography is investigated. ► Full solution is obtained by the matched eigenfunction expansion method. ► Wave-induced forces on the structure and on the wall, the reflection and transmission characteristics are studied. ► Different incident wave angles, water depth ratios, length of structure and the space of wall from the center of structure. ► Problem is reformulated under shallow water approximations.