TECHNICAL PAPERS
May 1, 1984

Diffraction of Solitary Waves

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 110, Issue 2

Abstract

Diffraction of solitary waves by a semi‐infinite thin barrier is studied both theoretically and experimentally. A theoretical solution is developed based on the linear shallow water wave theory. The linear wave theory compares reasonably well with the experimental data in the vicinity of the barrier. Nonlinear and dispersive effects are not important in the region examined. The formation of a vortex behind the tip of the barrier is observed and is an important factor in estimating the wave amplitudes in the shadow zone.

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References

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Goring, D. G., “Tsunamis—the Propagation of Long Waves onto a Shelf,” Report No. KH‐R‐38, W. M. Keck Laboratory, California Institute of Technology.
2.
Lamb, H., “On Sommerfeld's Diffraction Problem; and on Reflection by a Parabolic Mirror,” Proc. London Math. Soc. Series 2, 4, 1906, pp. 190–203.
3.
Lamb, H., “On the Diffraction of a Solitary Wave,” Proc. London Math. Soc. Series 2, 8, 1910, pp. 422–437.
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Lamb, H., Hydrodynamics, Dover Publications, Inc., New York, N.Y., 1932.
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Melville, W. K., “On the Mach Reflection of a Solitary Wave,” Journal of Fluid Mechanics, Vol. 98, 1980, pp. 285–247.
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Miles, J. W., “Damping of Weakly Nonlinear Shallow‐Water Waves,” Journal of Fluid Mechanics, Vol. 76, 1976, pp. 251–257.
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Miles, J. W., “Diffraction of Solitary Waves,” Z. Angew. Math. Phys., Vol. 28, 1977, pp. 889–902.
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Perroud, P. H., “The Solitary Wave Reflection Along a Straight Vertical Wall at Oblique Incidence,” thesis presented to the University of California, at Berkeley, Calif., in 1957, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
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Raichlen, F., “Wave Induced Oscillations of Small Moored Vessels,” Report No. KH‐R‐10, W. M. Keck Laboratory, California Institute of Technology, 1965.
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Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 110Issue 2May 1984
Pages: 201 - 214

History

Published online: May 1, 1984
Published in print: May 1984

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Authors

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Philip L.‐F. Liu, A. M. ASCE
Prof., School of Civ. and Environmental Engrg., Cornell Univ., Ithaca, N.Y. 14853

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