Abstract
A numerical scheme based on the boundaryintegral equation method is developed to obtain the motion of floating bodies in time harmonic waves. It is assumed that the fluid is homogeneous, inviscid and incompressible, the flow is irrotational and the motionsare small. Theapproachhas been to formulatetheassociated problems with the motion of floating bodies in time harmonic waves as integral equations, modify the kernels of the integral equations to make them non-singular, discretize the integral equations using the Gaussian quadratureformula, solve the systems of linear complex algebraic equations for the velocity potentials and find the hydrodynamic characteristics regarding the motion of the body. The computations were performed on a hemisphere, two semi-spheroids, and a circular cylinder. The nondimensional parameters of each mode of motion of the floating bodies in regular waves were calculated and presented in graphical form.
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