Radiation and oblique diffraction by submerged prolate spheroids in water of finite depth

Abstract

In the present study we present a general methodology for estimating the hydrodynamic (added-mass and damping) coefficients of a fully submerged (below a free-surface) elongated axisymmetric ocean-going body (approximated by a prolate spheroid) in water of finite depth (rigid even sea bottom). Using the same approach, we also provide a solution for the corresponding linearized diffraction problem and analytically determine the exciting hydrodynamic forces and moments exerted on the body due to obliquely incident monochromatic surface waves. A comprehensive series of numerical simulations is presented for the relevant hydrodynamic parameters depending on the wave encounter frequency and angle of incidence, including body submergence and slenderness-ratio as well as the water depth. Numerical validations are also provided as limiting cases for spherical shapes in finite water and for spheroidal geometries in water of infinite depth.