TECHNICAL NOTES
Feb 1, 1983

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.

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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.

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Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 109Issue 1February 1983
Pages: 117 - 121

History

Published online: Feb 1, 1983
Published in print: Feb 1983

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Authors

Affiliations

Min‐Chu Chen
Sr. Engr., SONAT Offshore Drilling, Inc., Houston, Tex.
Robert T. Hudspeth, M. ASCE
Assoc. Prof., Dept. of Civ. Engrg. and Ocean Engrg. Programs, Oregon State Univ., Corvallis, Oreg.

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