Solving the radiation problem in the time domain with a panel method

In the present study a linear boundary value solution for the ship wave radiation problem at zero speed and at forward speed is obtained in the time domain. Fluid velocity potentials due to the non-impulsive input and constant input are obtained by solving the boundary value problem using source strengths (indirect method). The singularities in the Rankine source of the transit free surface Green function were dealt with by the use of the well known Hess-Smith method. The panel method was validated by the application of the classical problem of the hemisphere and extended to the application of the Wigley Hull for the radiation problems at forward speed. The computed response functions added-mass and damping coefficients, along with the wave resistances were compared with published results. The final part of this thesis discusses some of the limitations of the Green function and suggest numerous ways to avoid these intrinsic errors.