TECHNICAL PAPERS
Jan 1, 1985

Wave Forces on Vertical Walls

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 111, Issue 4

Abstract

Formulas are presented to third order in wave height for the force and moment exerted on a vertical wall by the complete reflection of waves with an arbitrary angle of incidence. These expressions show a number of unusual features, some of which have been found previously for the special case of standing waves. They include the following: the maximum force per unit length is caused by obliquely‐incident waves rather than standing waves; the secondorder contribution to the load may be larger than that at first order without invalidating the solution; the greatest net force is that directed offshore under the wave troughs; and the greatest onshore force sometimes does not occur under wave crests. The formulas presented make the problem of determining the maximum load for design purposes one of finding the maximum of a given function in a space which includes as its dimensions the wave height, wave length or period, angle of incidence, and the wall length relative to the wavelength.

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References

1.
Battjes, J. A., “Effects of Short‐Crestedness on Wave Loads on Long Struchires,” Applied Ocean Research, Vol. 4, 1982, pp. 165–172.
2.
Bryant, P. J., “Two‐Dimensional Periodic Permanent Waves in Shallow Water,” Journal of Fluid Mechanics, Vol. 115, 1982, pp. 525–532.
3.
Chappelear, J. E., “On the Description of Short‐Crested Waves,” Beach Erosion Board, U.S. Army Corps of Engineers, Technical Memo No. 125.
4.
Fenton, J. D., “A Fifth‐Order Stokes Theory for Steady Waves,” Journal of Waterway, Port, Coastal, and Ocean Division, ASCE, Vol. 111, No. 2, Mar., 1985, pp. 216–234.
5.
Fenton, J. D., and Rienecker, M. M., “A Fourier Method for Solving Nonlinear Water‐Wave Problems: Application to Solitary‐Wave Interactions,” Journal of Fluid Mechanics, Vol. 118, 1982, pp. 411–443.
6.
Goda, Y., “The Fourth Order Approximation to the Pressure of Standing Waves,” Coastal Engineering in Japan, Vol. 10, 1967, pp. 1–11.
7.
Hsu, J. R. C., Tsuchiya, Y., and Silvester, R., “Third‐Order Approximation to Short‐Crested Waves,” Journal of Fluid Mechanics, Vol. 90, 1979, pp. 179–196.
8.
Longuet‐Higgins, M. S., “A Theory of the Origin of Microseisms,” Phil. Trans. Royal Society of London A, Vol. 243, 1950, pp. 1–35.
9.
Melville, W. K., “On the Mach Reflexion of a Solitary Wave,” Journal of Fluid Mechanics, Vol. 98, 1980, pp. 285–297.
10.
Nagai, S., “Pressures of Standing Waves on Vertical Wall,” Journal of the Waterways and Harbors Division, ASCE, Vol. 95, 1969, pp. 53–76.
11.
Roberts, A. J., “Highly Nonlinear Short‐Crested Water Waves,” Journal of Fluid Mechanics, Vol. 135, 1983, pp. 301–321.
12.
Roberts, A. J., and Schwartz, L. W., “The Calculation of Nonlinear Short‐Crested Gravity Waves,” Physics of Fluids, Vol. 26, 1983, pp. 2388–2392.
13.
Rundgren, L., “Water Wave Forces—a Theoretical and Laboratory Study,” Bulletin 54, Royal Institute of Technology, Stockholm, Sweden, 1958.
14.
Silvester, R., Coastal Engineering, Vol. I, Elsevier, Amsterdam, Netherlands, 1974.
15.
Tadjbakhsh, I., and Keller, J. B., “Standing Surface Waves of Finite Amplitude,” Journal of Fluid Mechanics, Vol. 8, 1960, pp. 442–451.
16.
Tsuchiya, Y., and Yamaguchi, M., “Limiting Condition for Standing Wave Theories by Perturbation Method,” Proceedings of the 12th International Conference on Coastal Engineering, Vol. I, 1970, pp. 523–542.
17.
Yue, D. K. P., and Mei, C. C., “Forward Diffraction of Stokes' Waves by a Thin Wedge,” Journal of Fluid Mechanics, Vol. 99, 1980, pp. 33–52.

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Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 111Issue 4January 1985
Pages: 693 - 718

History

Published online: Jan 1, 1985
Published in print: Jan 1985

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John D. Fenton
Sr. Lect., School of Mathematics, Univ. of New South Wales, Kensington, N.S.W., Australia 2033

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