Numerical analysis of transient, finite amplitude waves by boundary integral and perturbation expansion

A method of numerical analysis for finite amplitude wave motion with velocity potential is developed, using boundary integral (Green's identity formula) and perturbation expansion. Availability and accuracy of the proposed method are proved by applying this method to the progressive wave problems which have already been solved analytically as Stokes waves and solitons, and then comparing computed results with the analytical results. As examples of practical application, heaving and swaying motions and the combined free motion of circular cylinder starting from rest are solved by the proposed method, where the first and the second problems are compared with analytical and experimental results, respectively.