Geometric Study of Monochromatic Wave Breaking on Beaches
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 133, Issue 5
Abstract
A video image processing technique has been developed for the study of free surface water waves. The technique allows detailed examination of continuous image sequences of progressing waves, providing a complete and precise geometric description of an evolving breaking wave. Wave breaking on sloping beaches has been investigated under monochromatic sea conditions and geometric parameters of a large number of breakers have been obtained. The bed slope was found to influence the breaking wave height and depth relationship. A number of new empirical equations have been derived defining the functional relationship between the nondimensional breaking height and breaking depth , between the breaking wave steepness and relative depth , and between the breaking height to depth ratio and nondimensional breaking depth .
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Acknowledgments
This work was supported by the Engineering and Physical Science Research Council in the form of a research studentship for Paul Canning. The writers would also like to thank Bob Gaylor for his technical assistance in the laboratory.
References
Basco, D. R. (1985). “A qualitative description of wave breaking.” J. Waterway, Port, Coastal, Ocean Eng., 111(2), 171–188.
Buhr Hansen, J. (1990). “Periodic waves in the surf zone: An analysis of experimental data.” Coastal Eng., 14, 19–41.
Canning, P. J., She, K., and Morfett, J. (1998). “Application of video imaging to water wave studies.” Proc., 3rd Int. Conf. on HydroScience and Engineering, Cottbus, Germany.
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.
Galvin, C. J. (1968). “Breaker type classification on three laboratory beaches.” J. Fusion Energy, 73(12), 3651–3659.
Galvin, C. J. (1969). “Breaker travel and choice of design wave height.” J. Wtrwy. and Harb. Div., 95(2), 175–200.
Griffiths, M. W. P. (1989). “Breaking waves.” Ph.D. thesis, Dept. of Physics, Univ. of Edinburgh, Edinburgh.
Grilli, S. T., Svendsen, I. A., and Subramanya, R. (1997). “Breaking criterion and characteristics for solitary waves on slopes.” J. Waterway, Port, Coastal, Ocean Eng., 123(3), 102–112.
Hattori, M. (1986). “Experimental study on the validity range of various wave theories.” Proc., Int. Conf. Coastal Eng., Taipei, Chap. 18, 232–246.
Iversen, H. W. (1952). “Laboratory study of breakers.” Gravity waves, US Bureau of Standards, Washington, D.C., Chap. 52, 9–32.
Kjeldsen, S. P., Lystad, M., and Myrhaug, D. (1981). “Forecast of breaking waves on the Norwegian continental shelf.” Project Rep., The Norwegian Meteorological Institute and Norwegian Hydrodynamic Laboratories, Division Ship and Ocean Laboratory, Oslo.
Kobayashi, N., Cox, D. T., and Wurjanto, A. (1990). “Irregular wave reflection and run-up on rough impermeable slopes.” J. Waterway, Port, Coastal, Ocean Eng., 116(6), 708–726.
Komar, P. D., and Gaughan, M. K. (1973). “Airy wave theory and breaker height prediction.” Proc., Int. Conf. Coastal Eng., Copenhagen, Chap. 20, 405–418.
McCowan, J. (1891). “On the solitary wave.” Philos. Mag., 36, 430–438.
Mizuguchi, M. (1986). “Experimental study on kinematics and dynamics of wave breaking.” Proc., Int. Conf. Coastal Eng., Taipei, Chap. 45, 589–603.
Patrick, D. A., and Wiegel, R. L. (1955). “Amphibian tractors in the surf.” Proc. 1st Conf. on Ships and Waves, The Engineering Foundation Council on Wave Research and the American Society of Naval Architects and Marine Engineers, Hoboken, N.J., 397–422.
Sakai, T., and Iwagaki, Y. (1978). “Estimation of water particle velocity of breaking wave.” Proc., Int. Conf. Coastal Eng., Chap. 31, 551–568.
She, K., Greated, C. A., and Easson, W. J. (1994). “Experimental study of three-dimensional wave breaking.” J. Waterway, Port, Coastal, Ocean Eng., 120(1), 20–36.
She, K., Greated, C. A., and Easson, W. J. (1997). “Experimental study of three-dimensional breaking wave kinematics.” Appl. Ocean. Res., 19, 329–343.
She, K., Pullen, T., and Morfett, J. (1998). “Numerical study of breaking wave parameters.” Proc. 3rd Int. Conf. on HydroScience and Engineering, Cottbus, Germany.
Skyner, D. J., and Greated, C. A. (1992). “The evolution of a long-crested deepwater breaking wave.” Proc., 2nd Int. Offshore and Polar Engineering Conf., San Francisco, 132–138.
Southgate, H. N. (1993). “Review of wave breaking in shallow water.” Advances in Underwater Technology, Ocean Science, and Offshore Engineering, London, Vol. 29, 251–273.
US Army Corps of Engineers (USACE). (2003). Coastal engineering manual, Chap. II-4 US Army Engineer Research and Development Center, Coastal and Hydraulics Laboratory, Vicksburg, Miss.
Van Dorn, W. G. (1978). “Breaking invariants in shoaling waves.” J. Geophys. Res., 83(C6), 2981–2988.
Weggel, J. R. (1972). “Maximum breaker height.” J. Wtrwy., Harb. and Coast. Engrg. Div., 98(WW4), 529–548.
Weggel, J. R., and Maxwell, W. H. C. (1970). “Experimental study of breaking wave pressure.” OTC-1244, Second Offshore Technology Conf., Houston.
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© 2007 ASCE.
History
Received: Sep 21, 2004
Accepted: Nov 17, 2006
Published online: Sep 1, 2007
Published in print: Sep 2007
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