Three-dimensional Solution For The Radiation And DiffractionOf A Submerged Spheroid Advancing In Ocean Waves

Abstract

We present a numerical scheme which deals with a three-dimensional solution for the radiation and diffraction of a submerged spheroid advancing in ocean waves. We assume that the fluid is inviscid and incompressible, and the fluid motion is irrotational. With these assumptions, there exists a velocity potential which satisfies Laplace's equation. The two boundary integral methods, mixed and source models, with the Green's diffraction-radiation function satisfying the Neumann-Kelvin linearized free-surface condition are used to compute the hydrodynamic forces acting on a spheroid. The wetted body surface is descretized into a number of small panels and in each panel the velocity potential is assumed to be constant. The Kelvin singularity is calculated by an adaptive Simpson's integration scheme. Then the added mass and damping coefficient and wave exciting forces on a submerged spheroid are computed. Numerical results are obtained and graphically displayed and compared with other numerical results. The comparison shows excellent agreement.