TECHNICAL PAPERS
Jan 1, 1987

Breakwater Gap Wave Diffraction: an Experimental and Numerical Study

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 113, Issue 1

Abstract

Breakwater gap configurations with gap‐to‐wavelength (B/L) ratios of 1.64, 1.41, 1.20, 1.00, 0.75, and 0.50 are investigated, both experimentally (using close‐range photogrammetry) and numerically (using finite and infinite elements). The experimental results, when compared to the finite element and available analytical results, show that: (1) The measured wave heights in the shadow zones (those regions sheltered by the breakwater arms) tend to be larger than predicted theoretically due to the combined effect of secondary waves generated at the breakwater tips and wave orthogonal spreading near the gap centerline (and subsequent wave orthogonal bunching in the shadow zones) caused by wave steepness differences along the crests; and (2) the wave heights outside the shadow zones tend to be smaller than predicted theoretically, again due to wave orthogonal spreading caused by the greater steepness of waves near the gap centerline. The results suggest that linear theory provides conservative wave height estimates outside the shadow zone, but underestimates wave heights in the shadow zone.

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References

1.
Adams, L. P., and Pos, J. D. (1981). “Model harbor wave form studies using short range photogrammetry,” Photogramm. Rec., 10, 457–470.
2.
Adams, L. P., and Pos, J. D. (1984). “Wave height measurements in model harbors using close range photogrammetry,” Inter. Arch. Photogramm., 25 (A5), Commission 5, 9–18.
3.
Berkhoff, J. C. W. (1972). “Computation of combined refraction‐diffraction,” Proc. 13th Inter. Conf. Coastal Engrg., Vancouver, Canada, 471–490.
4.
Berkhoff, J. C. W. (1976). “Mathematical models for simple harmonic linear water waves, wave diffraction and refraction,” Publ. No. 163, Delft Hydraulics Laboratory, Delft, the Netherlands.
5.
Bettess, P., Liang, S. G., and Bettess, J. A. (1984). “Diffraction of waves by semi‐infinite breakwater using finite and infinite elements,” Inter. J. Numer. Meth. Fluids, 4, 813–832.
6.
Bettess, P., and Zienkiewicz, O. C. (1977). “Diffraction and refraction of surface waves using finite and infinite elements,” Inter. J. Numer. Meth. Engrg. 11, 1271–1290.
7.
Biesel, F. (1966). “Les phénomenes du second ordre rayonnants dans les ondes de gravite,” Houille Blanche, 4, 403–420.
8.
Biesel, F. (1963). “Radiating second‐order phenomena in gravity waves,” Recent Res. Coast. Hydraul., 1, Inter. Assn. Hydraul. Res., 10th Cong., London, England, 197–203.
9.
Blue, F. L., and Johnson, J. W. (1949). “Diffraction of water waves passing through a breakwater gap,” Trans. Am. Geophys. Union, 30, 705–718.
10.
Carr, J. H., and Stelzriede, M. E. (1952). “Diffraction of water waves by breakwaters,” Gravity Waves, Circular No. 521, U.S. Nat. Bur. Standards, 109–125.
11.
CERC (1984). Shore protection manual, 1, 4th ed., U.S. Army Coastal Engineering Research Center (CERC).
12.
Daemrich, K.‐F., and Kohlhase, S. (1978). “Influence of breakwater‐reflection on diffraction,” Proc. 16th Inter. Conf. Coast. Engrg., Hamburg, Germany, 651–663.
13.
Fan, S., Cumming, J. D., and Wiegel, R. L. (1967). “Computer solution of wave diffraction by semi‐infinite breakwater,” Tech. Rep. No. HEL‐1‐8, Univ. of California, Berkeley, Coll. of Engrg.
14.
Hales, L. Z. (1980). “Erosion control of scour during construction, Rep. 3, Experimental measurements of refraction, diffraction and current patterns near jetties,” Tech. Rep. No. HL‐80‐3, U.S. Army Engrg. Exper. Sta.
15.
Harms, V. W. (1976). “Diffraction of water waves by cylindrical structures of arbitrary shape,” thesis presented to the University of California, at Berkeley, California, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
16.
Harms, V. W. (1979). “Diffraction of waves by a shore‐connected breakwater,” J. Hydraul. Div., ASCE, 105(HY12), 1501–1519.
17.
Houston, J. R. (1981). “Combined refraction and diffraction of short waves using the finite element method,” Applied Ocean Res., 3(4), 163–170.
18.
Irons, B. (1970). “A frontal solution program for finite element analysis,” Inter. J. Numer. Meth. Engrg., 2, 5–32.
19.
Johnson, J. W. (1952). “Generalized wave diffraction diagrams,” Proc. 2nd Inter. Conf. Coast. Engrg., 6–23.
20.
Lacombe, H. (1952). “The diffraction of a swell: A practical approximate solution and its justification,” Gravity Waves, Circular No. 521, U.S. Nat. Bur. of Standards, 129–140.
21.
Lamb, H. (1932). Hydrodynamics, 6th ed., Cambridge University Press, Cambridge, England.
22.
Larras, J. (1966). “Diffraction de la houle par les obstacles rectilignes semi‐indéfinis sous incidence oblique,” Cah. Océanograph., 18, 661–667.
23.
Memos, C. D. (1976). “Diffraction of waves through a gap between two inclined breakwaters,” thesis presented to the University of London, at London, England, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
24.
Memos, C. D. (1980a). “An extended approach to wave scattering through a harbor entrance,” PIANC Bulletin, 1, 20–25.
25.
Memos, C. D. (1980b). “Water waves diffracted by two breakwaters,” J. Hydraul. Res., 18(4), 343–357.
26.
Mitsui, H., and Murakami, H. (1967). “Wave height distribution at discontinuous parts of coastal structures,” Kaigen Kôgagu Kôenkai, 14 (in Japanese).
27.
Mobarek, I. (1962). “Effect of bottom slope on wave diffraction,” Rep. No. HEL‐1‐1, Univ. of California, Berkeley, Calif.
28.
Morse, P. M., and Rubenstein, P. J. (1938). “The diffraction of waves by ribbons and by slits,” Phys. Rev., 54, 895–898.
29.
Nussenzveig, H. M. (1959). “Solution of a diffraction problem, I. The wide double wedge, II. The narrow double wedge,” Philosoph. Trans. Royal Soc. London, Ser. A, 252, 1–51.
30.
Penney, W. G., and Price, A. T. (1952). “The diffraction theory of sea waves and the shelter afforded by breakwaters,” Philosoph. Trans. Royal Soc. London, Ser. A, 244, 236–253.
31.
Pos, J. D. (1985). “Asymmetrical breakwater gap wave diffraction using finite and infinite elements,” Coast. Engrg., 9, 101–123.
32.
Pos, J. D. (1982). “Photogrammetric wave height measurements in model harbours using projective transformations,” S. African Survey J., 18(6), 15–22.
33.
Pos, J. D. (1984). “A study of breakwater gap wave diffraction using close range photogrammetry and finite and infinite elements,” thesis presented to the University of Cape Town, at Cape Town, South Africa, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
34.
Pos, J. D. (1983). “Wave diffraction using finite and infinite elements,” Computer Meth. Appl. Mech. and Engrg., 41(2), 219–235.
35.
Pos, J. D., and Kilner, F. A. (1982). “Laboratory photogrammetric wave height measurement,” Proc. 18th Inter. Conf. Coast. Engrg., Cape Town, South Africa, 695–709.
36.
Pos, J. D., Kilner, F. A., and Fischer, P. G. (1985). “Combined refraction‐diffraction of water waves by an island,” Proc. Finite Element Meth. in S. Africa 1985 Conf., Stellenbosch, South Africa, 31–58. Also accepted for publication in The International Journal of Engineering Science.
37.
Putnam, J. A., and Arthur, R. S. (1948). “Diffraction of water waves by breakwaters,” Trans. Am. Geophys. Union, 29, 481–490.
38.
Silvester, R., and Lim, T. (1968). “Application of wave diffraction data,” Proc. 11th Inter. Conf. Coast. Engrg., London, England, 248–270.
39.
Smallman, J. V., and Porter, D. (1985). “Wave diffraction by two inclined semiinfinite breakwaters,” Proc. Inter. Conf. Numer. and Hydraul. Modelling of Ports and Harbours, Birmingham, England, 269–278.
40.
Sommerfeld, A. (1896). “Mathematische Theorie der Diffraktion,” Mathemat. Annalen, 47, 317–374.
41.
Zienkiewicz, O. C., and Bettess, P. (1975). “Infinite elements in the study of fluid structure interaction problems,” Proc. 2nd Inter. Synvp. Computer Meth. for Appl. Sci. and Engrg., Versailles, France, 133–172.

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Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 113Issue 1January 1987
Pages: 1 - 21

History

Published online: Jan 1, 1987
Published in print: Jan 1987

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Authors

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John D. Pos
Research Engr., Natl. Research Inst. for Oceanology, CSIR, Stellenbosch, South Africa
Frederic A. Kilner
Assoc. Prof., Dept. of Civ. Engrg., Univ. of Cape Town, Rondebosch, South Africa

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