Wave‐Induced Oscillation in Harbor with Porous Breakwaters
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 120, Issue 2
Abstract
Wave‐induced oscillation in a semicircular harbor with porous breakwaters is studied on the basis of the linear potential wave theory and a newly derived boundary condition for the breakwaters. By separation of variables, general expressions of the velocity potential in terms of unknown constants are obtained in the harbor region and in the open sea. These expressions are matched so that the porous boundary condition and the continuity of mass flux and free surface at the harbor entrance are satisfied. The velocity potential and, consequently, the free surface oscillation in the whole domain concerned are thus determined. The frequency response of a harbor with breakwaters of various porous properties is investigated. It is noted that the inertial effect of the porous structure is mainly to increase the resonant wave number and it does not reduce the amplitude of the resonant oscillation significantly. On the other hand, the porous resistance gives rise to little change of the resonant wave number but it reduces the amplitude of the resonant oscillation effectively. A small but finite permeability of the breakwater is found to be optimal to diminish the resonant oscillation.
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References
1.
Carrier, G. F., Shaw, R. P., and Miyata, M. (1971). “The response of narrow‐mouthed harbors in a straight coastline to periodic incident waves.” J. Appl. Mech., 38(2), 335–344.
2.
Chwang, A. T. (1983). “A porous‐wavemaker theory.” J. Fluid Mech., 132, 395–406.
3.
Dalrymple, R. A., Losada, M. A., and Martin, P. A. (1991). “Reflection and transmission from porous structures under oblique wave attack.” J. Fluid Mech., 224, 625–644.
4.
Gember, M. (1986). “Modeling dissipation in harbor resonance.” Coastal Engrg., 10, 211–252.
5.
Goda, Y. (1985). Random seas and design of maritime structures. University of Tokyo Press, Tokyo, Japan.
6.
Hwang, L. S., and Tuck, E. O. (1970). “On the oscillation of harbors of arbitrary shape.” J. Fluid Mech., 42, 447–464.
7.
Ippen, A. T., and Goda, Y. (1963). “Wave induced oscillation in harbors: the solution for a rectangular harbor connected to the open sea.” Rep. no. 59, Hydrodynamics Lab, M.I.T., Cambridge, Mass.
8.
Kravtchnenko, J., and McNown, J. S. (1955). “Seiche in rectangular ports.” Quart. Appl. Math., 13, 19–26.
9.
Lamb, H. (1932). Hydrodynamics. Dover Publications, New York, N.Y.
10.
Lee, J. J. (1969). “Wave induced oscillation in harbor of arbitrary shape.” Rep. no. KH‐R‐20, Hydraulics and Water Resources Lab., Cal. Inst. Tech., Pasadena, Calif.
11.
Lee, J. J. (1971). “Wave induced oscillations in harbors of arbitrary geometry.” J. Fluid Mech., 45, 375–394.
12.
LeMehaute, B. (1961). “Theory of wave agitation in a harbor.” J. Hydr. Div., ASCE, 87(2), 31–50.
13.
Liu, P. L.‐F. (1983). “Effect of continental shelf on harbor resonance.” Tsunamis—their science and engineering. K. Iida, and T. Iwagaki, eds., Terra Scientific Publishing Co., Tokyo, Japan, 303–314.
14.
Liu, P. L.‐F. (1986). “Effect of depth discontinuity on harbor oscillations.” Coastal Engrg., 10, 395–404.
15.
Macaskill, C. (1979). “Reflection of waves by permeable barrier.” J. Fluid Mech., 95, 141–157.
16.
Madsen, O. S. (1974). “Wave transmission through porous structures.” J. Wtrwy., Harb., and Coast. Engrg. Div., ASCE, 100(3), 169–188.
17.
McNown, J. S. (1952). “Waves and seiche in idealized ports.” Gravity Waves Symp., National Bureau of Standards, Cir. 521, 153–164.
18.
Mei, C. C., and Agnon, Y. (1989). “Long period oscillations in a harbor induced by incident short waves.” J. Fluid Mech., 208, 595–608.
19.
Mei, C. C., and Chen, H. S. (1975). “Hybrid element method for water waves.” 2nd Annual Symp. of Waterways, Harbor, and Coastal Engrg. Div., ASCE, 1, 63–81.
20.
Mei, C. C., and Petroni, R. V. (1973). “Waves in a harbor with protruding break‐waters.” J. Wtrway., Harb., and Coast. Engrg. Div., ASCE, 99(2), 209–229.
21.
Miles, J., and Munk, W. (1961). “Harbor paradox.” J. Wtrway., and Harb. Div., ASCE, 87(3), 111–130.
22.
Ouellet, Y., and Theriault, T. (1989). “Wave grouping effect in irregular wave agitation in harbor.” J. Wtrway., Port, Coast., and Ocean Engrg., 115(3), 363–383.
23.
Raichlen, F., and Ippen, A. T. (1965). “Wave induced oscillation in harbors.” J. Hydr. Div., ASCE, 91(2), 1–26.
24.
Sato, N., Isobe, M., and Izumiya, T. (1990). “A numerical model for calculating wave height distribution in a harbor of arbitrary shape.” Coastal Engrg. in Japan, 33(2), 119–131.
25.
Sollitt, C. K., and Cross, R. H. (1972). “Wave transmission through permeable breakwaters.” Proc., 13th Conf. on Coastal Engrg., ASCE, 3, 1827–1846.
26.
Zhou, C. P., Cheung, Y. K., and Lee, J. H. W. (1991). “Response in harbor due to incidence of second order low‐frequency waves.” Wave Motion, 13, 167–184.
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Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 120 • Issue 2 • March 1994
Pages: 125 - 144
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Nov 6, 1992
Published online: Mar 1, 1994
Published in print: Mar 1994
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