Asymptotic Solutions and Radiation Conditions for Second-Order Diffracted Waves

Abstract

The far-field asymptotic solutions for the second-order diffracted waves have been developed, both in three and two-dimensional problems. The radiation conditions for the second-order diffracted waves are derived by using the asymptotic solutions. The nonlinear wave forces on a half-circular cylinder on seabed are presented by using finite element methods with the radiation conditions imposed on the artificial boundaries.

Time‐Domain Solution for Second‐Order Wave Diffraction

“…The three-dimensional problem involving a vertical circular cylinder has been studied extensively by Hunt & Baddour (1981), Hunt & Williams (1982), Chen & Hudspeth (1982), Kriebel (1987) and Shimada (1987), while Garrison (1984) has developed a method to treat problems involving structures of arbitrary shape. Huang et al (1989) have examined the use of an asymptotic form of the potential at second order in solving the second-order diffraction problems in two and three dimensions. With the use of the asymptotic solution as described by Molin (1979), Kim & Yue (1989) have solved the secondorder diffraction solution for axisymmetric bodies and subsequently extended the method to include bichromatic wave diffraction and body motions (Kim & Yue, 1990).…”