Computation of forward-speed wave-body interactions in frequency domain

A panel-free method (PFM) has been further developed to compute wave interaction with bodies at forward speed in the frequency domain. The desingularized integral equation in terms of source strength distribution is developed by removing the singularity due to the Rankine term in the forward-speed Green function. Non-Uniform Rational B-Splines (NURBS) surfaces are adopted to describe the exact body geometry mathematically. The integral equations are then discretized over the body surface by Gaussian quadratures. In this work, the double-body m-terms are computed on the NURBS surface using PFM. The accuracy and reliability of this method was demonstrated by its applications to the radiation and diffraction problems of a submerged sphere and a Wigley-hull ship at forward speed. The computed results were compared with the analytical solutions and experimental results.