TECHNICAL PAPERS
Feb 1, 2001

Wave-Induced Mean Magnitudes in Permeable Submerged Breakwaters

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 127, Issue 1

Abstract

The influence of wave reflection and energy dissipation by breaking and by porous flow induced by a permeable submerged structure on second-order mean quantities such as mass flux, energy flux, radiation stress, and mean water level is analyzed. For this purpose, analytical expressions for those mean quantities in terms of the shape functions are obtained. The dependence of those quantities on the incident wave characteristics, structure geometry, and permeable material characteristics is modeled, extending the writers' previous work including wave breaking. Two models for regular waves are presented: a 2D model to be applied to submerged trapezoidal breakwaters and a 3D model for submerged permeable rectangular breakwaters. Both models are able to reproduce experimental wave height transformation as well as mean water level variations along the wave flume with reasonable accuracy. Results give useful information for engineering applications of wave height evolution and set-up and set-down evolution in the vicinity of the submerged permeable structure.

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References

1.
Cruz, E. C., Isobe, M., and Watanabe, A. ( 1992). “Nonlinear wave transformation over a submerged permeable breakwater.” Proc., 23rd Coast. Engrg. Conf., ASCE, New York, 1101–1114.
2.
Cruz, E. C., Isobe, M., and Watanabe, A. ( 1997). “Boussinesq equations for wave transformation on porous beds.” Coast. Engrg., 30, 125–154.
3.
Dally, W. R., Dean, R. G., and Dalrymple, R. A. ( 1985). “Wave height variation across beaches of arbitrary profile.” J. Geophys. Res., 90(C6), 11917–11927.
4.
Dalrymple, R. A., Losada, M. A., and Martin, P. ( 1991). “Reflection and transmission from porous structures under oblique wave attack.” J. Fluid Mech., 224, 625–644.
5.
Eldeberky, Y., and Battjes, J. A. ( 1994). “Nonlinear coupling in waves propagating over a bar.” Proc., 24th Coast. Engrg. Conf., ASCE, New York, 157–167.
6.
Gourlay, M. R. ( 1996a). “Wave set-up on coral reefs. I: Set-up and wave-generated flow on an idealised two dimensional horizontal reef.” Coast. Engrg., 27, 161–193.
7.
Gourlay, M. R. ( 1996b). “Wave set-up on coral reefs. II: Wave set-up on reefs with various profiles.” Coast. Engrg., 28, 17–56.
8.
Gu, Z. G., and Wang, H. ( 1992). “Numerical modeling for wave energy dissipation within porous submerged breakwaters of irregular cross section.” Proc., 23rd Coast. Engrg. Conf., ASCE, New York, 1189–1202.
9.
Iwata, K., and Kiyono, H. ( 1985). “Breaking of standing two-component composite and irregular waves.” Coast. Engrg. in Japan, Tokyo, 28, 71–87.
10.
Losada, I. J. ( 1996). “Wave interaction with permeable structures.” PhD thesis, University of Delaware, Newark, Del.
11.
Losada, I. J., Silva, R., and Losada, M. A. ( 1996a). “3-D non-breaking regular wave interaction with submerged breakwaters.” Coast. Engrg., 28, 229–248.
12.
Losada, I. J., Silva, R., and Losada, M. A. ( 1996b). “Interaction of non-breaking directional random waves with submerged breakwaters.” Coast. Engrg., 28, 249–267.
13.
Losada, I. J., Patterson, M. D., and Losada, M. A. ( 1997). “Harmonic generation past a submerged porous step.” Coast. Engrg., 31, 281–304.
14.
Losada, M. A., Vidal, C., and Medina, R. ( 1989). “Experimental study of the evolution of a solitary wave at an abrupt junction.” J. Geophys. Res., 94(C10), 14557–14566.
15.
Loveless, J., and Debski, D. ( 1998). “Sea level set-up behind detached breakwaters.” Proc., 26th Coast. Engrg. Conf., ASCE, Reston, Va., 1665–1678.
16.
Massel, S. R. ( 1983). “Harmonic generation by waves propagating over a submerged step.” Coast. Engrg., 7, 357–380.
17.
Mei, C. C. ( 1989). The applied dynamics of ocean surface waves, World Scientific, Singapore.
18.
Méndez, F. J. ( 1997). “Flujos medios inducidos por las ondas de gravedad en medios reflejantes y disipativos naturales o artificiales.” PhD thesis, University of Cantabria, Cantabria, Spain (in Spanish).
19.
Mizutani, N., Mostafa, A. M., and Iwata, K. ( 1998). “Nonlinear regular wave, submerged breakwater and seabed dynamic interaction.” Coast. Engrg., 33, 177–202.
20.
Mory, M., and Hamm, L. ( 1997). “Wave height, set-up and currents around a detached breakwater submitted to regular or random wave forcing.” Coast. Engrg., 31, 77–96.
21.
Ohyama, T., and Nadaoka, K. ( 1992). “Modelling of the transformation of nonlinear waves passing over a submerged dike.” Proc., 23rd Coast. Engrg. Conf., ASCE, New York, 526–539.
22.
Rey, V., Belzons, M., and Guazzelli, E. ( 1992). “Propagation of surface gravity waves over a rectangular submerged bar.” J. Fluid Mech., 235, 453–479.
23.
Rivero, F. J., S.-Arcilla, A., Gironella, X., and Corrons, A. ( 1998). “Large-scale hydrodynamic experiments in submerged breakwaters.” Proc., Coast. Dyn. '97, ASCE, Reston, Va., 754–762.
24.
Rojanakamthorn, S., Isobe, M., and Watanabe, A. ( 1989). “A mathematical model of wave transformation over a submerged breakwater.” Coast. Engrg. in Japan, Tokyo, 32(2), 209–234.
25.
Rojanakamthorn, S., Isobe, M., and Watanabe, A. ( 1990). “Modeling of wave transformation on submerged breakwater.” Proc., 22nd Coast. Engrg. Conf., ASCE, New York, 1060–1073.
26.
Sollitt, C. K., and Cross, R. H. ( 1972). “Wave transmission through permeable breakwaters.” Proc., 13th Coast. Engrg. Conf., ASCE, New York, 1827–1846.
27.
Tang, C. J., and Chang, J. H. (1998). “Flow separation during solitary wave passing over submerged obstacle.”J. Hydr. Engrg., ASCE, 124(7), 742–749.
28.
Tomé, M. ( 1997). “Modelado matemático de la circulación 2DH inducida por el oleaje en presencia de diques sumergidos.” MS thesis, UPC (in Spanish).
29.
van Gent, M. R. A. ( 1995). “Wave interaction with permeable coastal structures.” PhD thesis, Delft University of Technology, Delft, The Netherlands.
30.
Watanabe, A., and Dibajnia, M. ( 1988). “A numerical model of wave deformation in surf zone.” Proc., 21st Coast. Engrg. Conf., ASCE, New York, 578–587.

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Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 127Issue 1February 2001
Pages: 7 - 15

History

Received: Aug 13, 1998
Published online: Feb 1, 2001
Published in print: Feb 2001

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Member, ASCE
Member, ASCE
Postdoct. Res., Oc. and Coast. Res. Group, Universidad de Cantabria, Dpto. de Ciencias y Técnicas del Agua y del Medio Ambiente, Av. de los Castros s/n, 39005 Santander, Spain.
Prof., Oc. and Coast. Res. Group, Universidad de Cantabria, Dpto. de Ciencias y Técnicas del Agua y del Medio Ambiente, Av. de los Castros s/n, 39005 Santander, Spain.
Prof., Universidad de Granada, E.T.S.I. de Caminos, C.y.P. Campus de la Cartuja s/n, 18071 Granada, Spain.

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