Analytical Study of Porous Wave Absorber
Publication: Journal of Engineering Mechanics
Volume 127, Issue 4
Abstract
Linear potential theory is applied to the analysis of wave reflection from a composite porous wave absorber that lies on a solid foundation with a seaward slope. By adopting the mathematical model of wave-induced flow in a porous medium, the interaction between water waves and a porous wave absorber is investigated. An extended linear refraction-diffraction model for surface waves is applied to the sloping region in front of the porous absorber. Using the eigenfunction expansions and the finite-difference method, an analytical study is undertaken to predict the wave reflection from such a composite porous absorber. The reflection behavior is discussed for several wave conditions, and the functional efficiency of this absorber is evaluated. It is noted that the present numerical results agree very well with the experimental results available in the literature.
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References
1.
Chamberlain, P. G., and Porter, D. ( 1995). “The modified mild-slope equation.” J. Fluid Mech., Cambridge, U.K., 291, 393–407.
2.
Chandrasekera, C. N., and Cheung, K. F. (1997). “Extended linear refraction-diffraction model.”J. Wtrwy., Port, Coast., and Oc. Engrg., ASCE, 123(5), 280–286.
3.
Chwang, A. T., and Chan, A. T. ( 1998). “Interaction between porous media and wave motion.” Annu. Rev. Fluid Mech., 30, 53–84.
4.
Dalrymple, R. A., Losada, M. A., and Martin, P. A. ( 1991). “Reflection and transmission from porous structures under oblique wave attack.” J. Fluid Mech., Cambridge, U.K., 224, 625–644.
5.
Debler, W. R. ( 1990). Fluid mechanics fundamentals, Prentice-Hall, Englewood Cliffs, N.J.
6.
Hughes, S. A. ( 1993). Physical models and laboratory techniques in coastal engineering, World Scientific, Hong Kong.
7.
Losada, I. J., Dalrymple, R. A., and Losada, M. A. (1993). “Water waves on crown breakwaters.”J. Wtrwy., Port, Coast., and Oc. Engrg., ASCE, 119(4), 367–380.
8.
Madsen, O. S. (1974). “Wave transmission through porous structures.”J. Wtrwy., Harb. and Coast. Engrg. Div., ASCE, 100(3), 169–188.
9.
Madsen, P. A. ( 1983). “Wave reflection from a vertical permeable wave absorber.” Coast. Engrg., 7, 381–396.
10.
Mallayachari, V., and Sundar, V. ( 1994). “Reflection characteristics of permeable seawalls.” Coast. Engrg., 23, 135–150.
11.
Massel, S. R. ( 1993). “Extended refraction-diffraction equation for surface waves.” Coast. Engrg., 19, 97–126.
12.
Porter, D., and Staziker, D. J. ( 1995). “Extensions of the mild-slope equation.” J. Fluid Mech., Cambridge, U.K., 300, 367–382.
13.
Rojanakamthorn, S., Isobe, M., and Martin, P. A. ( 1989). “A mathematical model of wave transmission over a submerged breakwater.” Coast. Engrg. in Japan, Tokyo, 32, 144–169.
14.
Sollitt, C. K., and Cross, R. H. ( 1972). “Wave transmission through permeable breakwaters.” Proc., 13th Conf. Coast. Engrg., ASCE, New York, 1827–1846.
15.
Sulisz, W. ( 1985). “Wave reflection and transmission at permeable breakwaters of arbitrary cross section.” Coast. Engrg., 9, 371–386.
16.
Twu, S. W., and Lin, D. T. ( 1991). “On a highly effective wave absorber.” Coast. Engrg., 15, 389–405.
17.
Yu, X., and Chwang, A. T. (1994). “Wave motion through porous structures.”J. Engrg. Mech., ASCE, 120(5), 989–1008.
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Received: Nov 16, 1999
Published online: Apr 1, 2001
Published in print: Apr 2001
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