Diffraction by Axisymmetric Green's Function
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 109, Issue 1
Abstract
Diffraction of linear, monochromatic surface gravity waves by circular cylinders is reviewed by constructing an axisymmetric Green's function by an eigenfunction expansion. This study indicates that the Green's function method is capable of solving a complex problem, such as nonlinear diffraction theory. Nonlinear diffraction theory or second-order velocity potential can then be used to solve the practical problems faced by designers when utilizing large diameter cylindrical shapes for offshore structures in large amplitude storm waves.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Butkov, E., Mathematical Physics, Addison‐Wesley Publishing Co., Inc., Reading, Mass., 1968, p. 537.
2.
Chen, M. C., and Hudspeth, R. T., “Nonlinear Diffraction by Eigenfunction Expansions,” ASCE Journal of the Waterway, Port, Coastal, and Ocean Division, Vol. 108, No. WW3, Proc. Paper 1729, Aug., 1982, pp. 306–325.
3.
Havelock, T. H., “The Pressure of Water Waves on a Fixed Obstacle,” Proceedings of the Royal Society of London, Series A, Vol. 175, 1940, pp. 409–421.
4.
John, F., “On the Motion of Floating Bodies, II,” Communications on Pure and Applied Mathematics, Vol. 3, No. 1, Mar., 1950, pp. 45–101.
5.
Kellog, O. D., Foundations of Potential Theory, Dover Publications, Inc., New York, N.Y., 1953, pp. 211–216.
6.
MacCamy, R., and Fuchs, R. A., “Wave Forces on Piles: A Diffraction Theory,” Technical Memorandum No. 69, U.S. Army Corps of Engineers, Beach Erosion Board, Washington, D.C., Dec., 1954.
Information & Authors
Information
Published In
Copyright
Copyright © 1983 ASCE.
History
Published online: Feb 1, 1983
Published in print: Feb 1983
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.