Solutions to Three-dimensional Second-order Diffraction Problems by Means of Simple-source Integral-equation Method

抄録

Second-order diffraction problems for a three-dimensional body are solved by the use of simple sources and eigen functions. Numerical results of second-order velocity potentials are available as well as second-order wave forces, which are usually computed from first-order velocity potentials only, invoking Green's theorem.
Numerical analyses are done for a vertical circular cylinder in deep water so as to verify the validity of the method. Agreement between the results by the present method and existing results are satisfactory. It is also confirmed that the second-order velocity potentials on the weather side penetrate the water much deeper than the first-order ones, i. e., the second-order velocity potentials surpass the first-order ones in the depth.