Computations for Large Amplitude Two-Dimensional Body Motions

A numerical method is presented for the time-domain simulation of large amplitude motions of a 2-D surface piercing body with arbitrary shape in deep water. Based on potential theory, panels are distributed on the body and desingularized sources are distributed above the calm water surface. The body boundary condition is satisfied on the exact submerged body surface. The free surface boundary conditions are linearized and satisfied on the calm water level. The solution is stepped forward in time by integrating the free surface kinematic and dynamic conditions. The numerical solutions for the oscillation problem are compared with experimental results and other numerical results, and found to agree well. The results for the impact problem are compared with similarity solutions. Finally, results for the large amplitude sinusoidal motion of a 45-degree wedge are presented.