On scattering and radiation problem for a cylinder in water of finite depth

Wave loadings due to scattering and radiation for a floating vertical circular cylinder in water of finite depth are derived. These are derived from the total velocity potential which can be decomposed as four velocity potentials; one due to scattering in the presence of an incident wave on fixed structure (diffraction problem), and the other three due to radiation respectively by surge, heave and pitch motion on calm water (radiation problem). For each case, the velocity potential is derived by considering two regions, namely, interior region and exterior region. The complex matrix equations can be solved numerically to determine the unknown coefficients to compute the wave loads. Numerical results can be obtained for different depth to radius and draft to radius ratios.