TECHNICAL PAPERS
Dec 1, 2000

Solitary Wave Interaction with Porous Breakwaters

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 126, Issue 6

Abstract

This paper presents a numerical model for long-wave interaction with vertically walled porous structures. Based on depth-integrated equations of motion, the model is suitable for weakly nonlinear, weakly dispersive transient waves propagating in both variable-depth open water and porous regions. Comparisons with experimental data for problems with one horizontal dimension show that a single choice of empirical parameters for hydraulic conductivity gives accurate numerical predictions for various sizes of rocks used in the construction of porous breakwaters. A rigorous experimental comparison of a porous breakwater gap shows that the numerical model is excellent in predicting the waveform and phase of the transformed wave. In this paper attention is focused on the reflection, transmission, and diffraction of solitary waves by a porous breakwater.

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References

1.
Coastal Engineering Research Center (CERC). ( 1984). Shore protection manual, U.S. Army Corps of Engineers, Washington, D.C.
2.
Dalrymple, R. A., and Martin, P. A. (1990). “Wave diffraction through offshore breakwaters.”J. Wtrwy., Port, Coast., and Oc. Engrg., ASCE, 116(6), 721–741.
3.
Goda, Y., Takayama, T., and Suzuki, Y. ( 1978). “Diffraction diagrams for directional random waves.” Proc., 16th Int. Conf. Coast. Engrg., ASCE, New York, 628–650.
4.
Jiang, L., Ren, X., Wang, K.-H., and Jin, K.-R. ( 1996). “Generalized Boussinesq model for periodic non-linear shallow-water waves.” Oc. Engrg., 23, 309–323.
5.
Liu, P. L.-F. (1984). “Diffraction of solitary waves.”J. Wtrwy., Port, Coast., and Oc. Engrg., ASCE, 110(2), 201–214.
6.
Liu, P. L.-F., Lin, P., Chang, K.-A., and Sakakiyama, T. (1999). “Numerical modeling of wave interaction with porous structures.”J. Wtrwy., Port, Coast., and Oc. Engrg., ASCE, 125(6), 322–330.
7.
Liu, P. L.-F., and Wen, J. ( 1997). “Nonlinear diffusive surface waves in porous media.” J. Fluid Mech., Cambridge, U.K., 347, 119–139.
8.
McIver, P. (1999). “Water wave diffraction by thin porous breakwaters.”J. Wtrwy., Port, Coast., and Oc. Engrg., ASCE, 125(2), 66–70.
9.
Madsen, O. S. (1974). “Wave transmission through porous structures.”J. Wtrwy., Harb. and Coast. Engrg. Div., ASCE, 100(3), 169–188.
10.
Madsen, O. S., and White, S. M. ( 1975). “Reflection and transmission characteristics of porous rubble mound breakwaters.” Rep. No. 207, R. M. Parsons Lab., Massachusetts Institute of Technology, Cambridge, Mass.
11.
Penny, W. G., and Price, A. T. ( 1952). “The diffraction theory of sea waves by breakwaters, and the shelter afforded by breakwaters.” Philosophical Trans. Royal Soc., London, Ser. A, 244, 236–253.
12.
Press, W. H., Flannery, B. P., and Teukolsky, S. A. ( 1989). Numerical recipes, Cambridge University Press, Cambridge, U.K., 569–572.
13.
Sollitt, C. K., and Cross, R. H. ( 1972). “Wave transmission through permeable breakwaters.” Proc., 13rd Int. Conf. Coast. Engrg., ASCE, New York, 1827–1846.
14.
Sulisz, W. ( 1985). “Wave reflection and transmission at permeable breakwaters of arbitrary cross-section.” Coast. Engrg., 9, 371–386.
15.
van Gent, M. R. A. ( 1995). “Wave interaction with permeable coastal structures.” PhD thesis, Delft University, Delft, The Netherlands.
16.
Vidal, C., Losada, M. A., Medina, R., and Rubio, J. ( 1988). “Solitary wave transmission through porous breakwaters.”Proc., 21st Int. Conf. Coast. Engrg., ASCE, New York, 1073–1083.
17.
Wang, K.-H. (1993). “Diffraction of solitary waves by breakwaters.”J. Wtrwy., Port, Coast., and Oc. Engrg., ASCE, 119(1), 49–69.
18.
Wei, G., and Kirby, J. T. (1995). “A time-dependent numerical code for extended Boussinesq equations.”J. Wtrwy., Port, Coast., and Oc. Engrg., ASCE, 121(5), 251–261.
19.
Wu, T. Y. (1981). “Long waves in ocean and coastal waters.”J. Engrg. Mech. Div., ASCE, 107(3), 501–522.
20.
Yu, X. (1995). “Diffraction of water waves by porous breakwaters.”J. Wtrwy., Port, Coast., and Oc. Engrg., ASCE, 121(6), 275–282.
21.
Yu, X., and Togashi, H. ( 1996). “Combined diffraction and transmission of water waves around a porous breakwater gap.” Proc., 25th Int. Conf. Coast. Engrg., ASCE, New York, 2063–2076.

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Published In

Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 126Issue 6December 2000
Pages: 314 - 322

History

Received: Oct 18, 1999
Published online: Dec 1, 2000
Published in print: Dec 2000

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Authors

Affiliations

Associate Member, ASCE
Fellow, ASCE
Associate Member, ASCE
Grad. Res. Asst., School of Civ. and Envir. Engrg., Cornell Univ., Ithaca, NY 14853.
Prof., School of Civ. and Envir. Engrg., Cornell Univ., Ithaca, NY.
Prof., Oc. and Coast. Res. Group, Universidad de Cantabria, Santander, Spain.
Assoc. Prof., Oc. and Coast. Res. Group, Universidad de Cantabria, Santander, Spain.

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