RESEARCH PAPERS: Offshore Mechanics

On Two Alternative Field Solutions for Second-Order Wave Diffraction

[+] Author and Article Information
K. F. Cheung, M. Isaacson

Department of Civil Engineering, University of British Columbia, Vancouver, British Columbia, Canada

J. Offshore Mech. Arct. Eng 113(3), 185-192 (Aug 01, 1991) (8 pages) doi:10.1115/1.2919918 History: Received April 19, 1990; Revised November 29, 1990


The present paper set out a nonlinear boundary value problem involving the interaction of surface waves with large submerged structures in two dimensions. The problem is solved to second order by a time-stepping procedure on the basis of two alternative methods. Both of these involve the application of Green’s theorem, a Taylor series expansion of variables at the free surface and a perturbation series representation of the pertinent variables. Differences between the two solutions are associated with alternative integral equations applicable to second-order terms. The two second-order solutions are compared with each other and with previous theoretical and experimental results, and their applicability is assessed.

Copyright © 1991 by The American Society of Mechanical Engineers
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