Diffraction Patterns Near Narrow Breakwater Gaps
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 112, Issue 4
Abstract
Dimensionless presentations of wave diffraction through a narrow breakwater gap have been computed from the analytical solution of Morse and Rubenstein. Particular attention is given to narrow gaps, typical of smaller harbors, and to the wave field near the gap, where available details are approximate and most sparse. These solutions are compared with frequently‐used approximate solutions from superposition of partial Sommerfeld solutions for a semi‐infinite breakwater. The superposition approximation is extended to angled incidence for wide breakwater gaps and generally to non‐aligned breakwaters.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Abramowitz, M. and Stegun, I. A. (1964). Handbook of Mathematical Functions, Dover Publications, Inc., New York, N.Y.
2.
Blanch, G. and Clemm, D. S. (1962). “Tables Relating to the Radial Mathieu Functions, Vol. 1, Functions of the First Kind,” Aeronautical Research Laboratories, U.S. Govt. Printing Office, Washington, D.C.
3.
Blanch, G. and Clemm, D. S. (1965). “Tables Relating to the Radial Mathieu Functions, Vol. 2, Functions of the Second Kind,” Aeronautical Research Laboratories, U.S. Govt. Printing Office, Washington, D.C.
4.
Blue, R. L., and Johnson, J. W. (1949). “Diffraction of Water Waves Passing through a Breakwater Gap,” Transactions, American Geophysical Union, 30, 705–718.
5.
Chen, H. S., and Mei, C. C. (1971). “Wave Forces on a Stationary Platform of Elliptical Shape,” Journal of Ship Research, 17, 61–71.
6.
Carr, J. H., and Stelzreide, M. E. (1951). “Diffraction of Water Waves by Breakwaters,” Proceedings, Symposium on Gravity Waves, NBS Circular 521, 109–125.
7.
Goda, Y., Yoshimura, T., and Ito, M. (1971) “Reflection and Diffraction of Water Waves by an Insular Breakwater,” Report of the Port and Harbour Research Institute, Japan, 10, 4–52 (in Japanese).
8.
Johnson, J. W. (1952). “Generalized Wave Diffraction Diagrams,” Proceedings, 2nd International Conference of Coastal Engineering, Houston, Tex., 6–23.
9.
Kirkpatrick, E. T. (1960). “Tables of Values of the Modified Mathieu Functions,” Mathematics of Computation, 14, 118–129.
10.
McLachlan, N. W. (1947). Theory and Application of Mathieu Functions, Clarendon Press, Oxford, England.
11.
Memos, D. D. (1980). “Water Waves Diffracted by Two Breakwaters,” Journal of Hydraulic Research, 18, 343–357.
12.
Montefusco, L. (1968). “The Diffraction of a Plane Wave by an Isolated Breakwater,” Meccanica, 3, 156–166.
13.
Morse, P. M. and Feshback, H. (1953). Methods of Theoretical Physics, McGraw‐Hill Book Co., Inc., New York, N.Y.
14.
Morse, P. M., and Rubenstein, P. J. (1938). “The Diffraction of Waves by Ribbons and by Slits,” Physical Review, 54, 895–898.
15.
National Bureau of Standards (1967). “Tables Relating to Mathieu Functions,” NBS Applied Mathematics Series 59, U.S. Dept. of Commerce.
16.
Penney, W. G., and Price, A. T. (1952). “Part 1. The Diffraction Theory pf Sea Waves and the Shelter Afforded by Breakwaters,” Philosophical Transactions of the Royal Society, London, A244, 236–253.
17.
Shore Protection Manual (1984). Dept. of the Army, Coastal Engrg. Research Center, 4th ed., Vicksburg, Miss.
18.
Sommerfeld, A. (1896). “Mathematische Theorie der Diffraction,” Mathematische Annalen, 47, 317–374.
19.
Stiassnie, M., and Dagan, G. (1972). “Wave Diffraction by Detached Breakwater,” Journal of Waterways, Harbors, and Coastal Engrg. Div., ASCE, 98, 209–224.
20.
Stoker, J. J. (1954). Water Waves, John Wiley and Sons, Inc., New York, N.Y.
21.
Wiegel, R. L. (1962). “Diffraction of Waves by a Semi‐Infinite Breakwater,” Journal of the Hydraulics Div., ASCE, 88, 27–44.
Information & Authors
Information
Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 112 • Issue 4 • July 1986
Pages: 512 - 528
Copyright
Copyright © 1986 ASCE.
History
Published online: Jul 1, 1986
Published in print: Jul 1986
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.