Fundamental research on a nonlinear diffraction problem of the long waves by a huge vertical circular cylinder
Year: 1988
Type: article
Abstract: The objectives of present paper are to formulate the nonlinear diffraction problem for the long waves induced by a short wave groups using the multiple scales perturbation method and to find the effect of 2 nd-order long waves on the ocean structures.The governing equation for the 1 st-order zeroth harmonic potential is obtained by using the solvability condition of the boundary value problem for 3 rd-order zeroth harmonic potential. The formulas for the surface elevation of the 2 nd-order long waves induced by modulated short wave groups are derived analytically.Numerical results are presented for the case where the envelope of incident waves-train is a sine function and the influences of the long waves around a huge circular cylinder are considered.
Authors: Koichi Masuda, Takashi Nagai
Institution: Nihon University
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1970653981