Abstract
An analytical method to evaluate the interaction between waves and a three-dimensional floating body is presented. The General solution of velocity potential of the fluid motion is expanded into a series of eigen functions. The fluid region is divided into two sub-regions: one is the region beneath the floating body and the other relates to the remainder. Then both expansions in each region are matched at collocation points taken on the boundary of the regions. By using this collocation matching, theoretical formulation and computer programming become much simpler than the conventional matching method in which tedious integrations for eigen functions are needed. The theoretical formulation is described in detail for a floating body with a rectangular cross section. The validity of the method is confirmed, and the merit of the method compared to existing ones discussed.
