In this thesis, a numerical program has been developed to simulate the wave-inducedudship motions in the time domain. Wave-body interactions have been studied forudvarious ships and floating bodies through forced motion and free motion simulationsudin a wide range of wave frequencies.udA three-dimensional Rankine panel method is applied to solve the boundary valueudproblem for the wave-body interactions. The velocity potentials and normal velocitiesudon the boundaries are obtained in the time domain by solving the mixed boundary integraludequations in relation to the source and dipole distributions. The hydrodynamicudforces are calculated by the integration of the instantaneous hydrodynamic pressuresudover the body surface. The equations of ship motion are solved simultaneously withudthe boundary value problem for each time step.udThe wave elevation is computed by applying the linear free surface conditions. Audnumerical damping zone is adopted to absorb the outgoing waves in order to satisfyudthe radiation condition for the truncated free surface. A numerical filter is applied onudthe free surface for the smoothing of the wave elevation.udGood convergence has been reached for both forced motion simulations and free motionudsimulations. The computed added-mass and damping coefficients, wave excitingudforces, and motion responses for ships and floating bodies are in good agreement withudthe numerical results from other programs and experimental data.
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