TECHNICAL PAPERS
Nov 1, 1999

Numerical Modeling of Wave Interaction with Porous Structures

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 125, Issue 6

Abstract

This paper presents a numerical model for simulating wave interaction with porous structures. The model calculates the mean flow outside of porous structures based on the Reynolds averaged Navier-Stokes equations. The corresponding turbulence field is modeled by an improved k-ε model. The flow in porous structures is described by the spatially averaged Navier-Stokes equations. The drag forces caused by the presence of a solid skeleton are modeled by the empirical linear and nonlinear frictional forms. The numerical model is first calibrated by simple experiments for flow passing through a porous dam with different porous media. Excellent agreements are obtained for the case using gravels with mean sizes of O(1 cm) to O(10 cm) as the materials for the porous dam. Reasonably good agreements are also obtained when small uniform glass beads with diameters of 3 mm are used. The calibrated numerical model is then employed to investigate the breaking wave overtopping a caisson breakwater, protected by a layer of armor units. Good agreements between numerical results and laboratory data are obtained in terms of both free surface displacement and overtopping rate. Different design scenarios are also studied numerically. The porous armor layer is effective in reducing the overtopping rate as well as in preventing the caisson breakwater from bottom scouring.

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References

1.
Aminti, P., and Lamberti, A. (1996). “Interaction between main armour and toe berm damage.” Proc., 25th Int. Conf. Coast. Engrg., ASCE, New York, 1542–1555.
2.
Andersen, O. H. ( 1994). “Flow in porous media with special reference to breakwater structures,” PhD thesis, Aalborg University, Denmark.
3.
Bear, J. (1972). Dynamics of fluids in porous media. Elsevier Science, New York.
4.
Conley, D. C., and Inman, D. (1994). “Ventilated oscillatory boundary layers.” J. Fluid Mech., 273, 261–284.
5.
Donnars, P., and Benoit, M. (1996). “Interactions in the stability of toe-berm and main-armour for rubble mount breakwaters: An experimental study.” Proc., 25th Int. Conf. Coast. Engrg., ASCE, New York, 1617–1630.
6.
Dybbs, A., and Edwards, R. V. ( 1984). “A new look at porous media fluid mechanics—Darcy to turbulent.” Fundamentals of transport phenomena in porous media, J. Bear and M. Y. Corapcioglu, eds., Martinus Nijhoff, Dordrecht, The Netherlands, 199–256.
7.
Gu, Z., and Wang, H. (1991). “Gravity waves over porous bottoms.” Coast. Engrg., 15, 497–524.
8.
Ilegbusi, O. J. (1989). “Turbulent boundary layer on a porous flat plate with severe injection at various angles to the surface.” Int. J. Heat and Mass Transfer, 32(4), 761–765.
9.
Keulegan, G. H., and Carpenter, L. H. (1958). “Forces on cylinders and plates in an oscillating fluid.” J. Res. Nat. Bureau of Standards, 60(5), 423–440.
10.
Kobayashi, N., and Wurjanto, A. (1990). “Numerical model for waves on rough permeable slopes.” J. Coast. Res., 7, 149–166.
11.
Lin, P. ( 1998). “Numerical modeling of breaking waves,” PhD thesis, Cornell University, Ithaca, N.Y.
12.
Lin, P., and Liu, P. L.-F. (1998). “A numerical study of breaking waves in the surf zone.” J. of Fluid Mech., 359, 239–264.
13.
Liu, P. L.-F., and Lin, P. (1997). “A numerical model for breaking wave: The volume of fluid method.” Res. Rep. No. CACR-97-02, Ctr. for Appl. Coast. Res., Oc. Engrg. Lab., University of Delaware, Newark.
14.
Liu, P. L.-F., and Wen, J. (1997). “Nonlinear diffusive surface waves in porous media.” J. Fluid Mech., 347, 119–139.
15.
Losada, I. J., Losada, M. A., and Martin, F. L. (1995). “Experimental study of wave-induced flow in a porous structure.” Coast. Engrg., 26, 77–98.
16.
Madsen, O. S. (1974). “Wave transmission through porous structures.”J. Wtrwy., Harb., and Coast. Engrg. Div., ASCE, 100(3), 169–188.
17.
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.
18.
Polubarinova-Kochina, P. Y. (1962). Theory of groundwater movement. Princeton University Press, Princeton, N.J.
19.
Sakakiyama, T., and Kayama, M. (1997). “Numerical simulation of wave breaking and overtopping on wave absorbing revetment.” Proc., of Coast. Engrg., JSCE, Tokyo, 44, 741–745.
20.
Sollitt, C. K., and Cross, R. H. (1972). “Wave transmission through permeable breakwaters.” Proc., 13th Int. Conf. Coast. Engrg., ASCE, New York, 1827–1846.
21.
Sulisz, W. (1985). “Wave reflection and transmission at permeable breakwaters of arbitrary cross-section.” Coast. Engrg., 9, 371–386.
22.
Troch, P., and de Rouck, J. (1998). “Development of two-dimensional numerical wave flume for wave interaction with rubble mound breakwaters.” Proc., 26th Int. Conf. Coast. Engrg., ASCE, Reston, Va., 1638–1649.
23.
van Gent, M. R. A. ( 1995). “Wave interaction with permeable coastal structures,” PhD thesis, Delft University, Delft, The Netherlands.
24.
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.
25.
Wurjanto, A., and Kobayashi, N. (1993). “Irregular wave reflection and runup on permeable slopes.”J. Wtrwy., Port, Coast., and Oc. Engrg., ASCE, 119(5), 537–557.
26.
Zhou, D., and Mendoza, C. (1993). “Flow through porous bed of turbulent stream.”J. Engrg. Mech., ASCE, 119(2), 365–383.

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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 125Issue 6November 1999
Pages: 322 - 330

History

Received: Jul 31, 1998
Published online: Nov 1, 1999
Published in print: Nov 1999

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Authors

Affiliations

Fellow, ASCE
Prof., School of Civ. and Envir. Engrg., Cornell Univ., Ithaca, NY 14853.
Postdoctoral Assoc., School of Civ. and Envir. Engrg., Cornell Univ., Ithaca, NY.
Postdoctoral Assoc., School of Civ. and Envir. Engrg., Cornell Univ., Ithaca, NY.
Sr. Res., Central Res. Inst. of Electric Power Industry, 1646, Abiko, Abiko-shi, Chiba, 270-11, Japan.

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