The theoretical model and the associated computational algorithm is presented for the simulation of the linear and nonlinear motions of ships in waves of small and large steepness. The solution method is based on a three dimensional Rankine Panel Method which has been shown to be accurate, robust and efficient for the treatment of steady and unsteady potential flows past realistic ship hulls. In this article new results are presented for the seakeeping of the 5415 destroyer in waves of moderate steepness. Oblique wave seakeeping computations are presented in steep waves for the S-175 containership which confirm the importance of nonlinear effects.

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