TECHNICAL PAPERS
May 1, 2006

Prediction of Long Forcing Waves for Harbor Agitation Studies

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 132, Issue 3

Abstract

An approximate analytical assessment of long wave development due to nonlinear shoaling is obtained and verified against wave-flume experiments. The phase averaged equation for the nonlinear evolution of shoaling waves by Agnon and Sheremet serves as a starting point. Their shoaling interaction function J is significantly simplified through the mild slope assumption. Results, which may be used to assess the long wave input for engineering applications such as harbor resonance studies, are given.

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Acknowledgments

The present work emerged from a study that M.S. began in the summer of 1996, while visiting the International Research Center for Computational Hydrodynamics (ICCH) in Denmark. He is grateful to Professor Per A. Madsen and the staff at ICCH for their hospitality. Many fruitful discussions with Professor Yehuda Agnon are much appreciated.

References

Agnon, Y., and Sheremet, A. (1997). “Stochastic nonlinear shoaling of directional spectra.” J. Fluid Mech., 345, 79–99.
Agnon, Y., and Sheremet, A. (2000). “Stochastic evolution models for nonlinear gravity waves over uneven topography.” Advances in coastal and ocean engineering, P.L.-F. Liu, ed., Vol. 6, World Scientific, Singapore, 103–131.
Agnon, Y., Sheremet, A., Gonsalves, J., and Stiassnie, M. (1993). “Nonlinear evolution of a unidirectional shoaling wave field.” Coastal Eng., 20, 29–58.
Baldock, T. E., O’Hare, T. J., and Huntley, D. A. (2004). “Long wave forcing on a barred beach.” J. Fluid Mech., 503, 321–343.
Battjes, J. A., Bakkenes, H. J., Janssen, H. J., and Van Dongeren, A. R. (2004). “Shoaling of subharmonic gravity waves.” J. Geophys. Res., 109(C2), CO 2009, 1–15.
Eldeberky, Y., and Madsen, P. A. (1999). “Deterministic and stochastic evolution equations for fully dispersive and weakly nonlinear waves.” Coastal Eng., 38, 1–24.
Goda, Y. (1985). Random seas and design of maritime structures, University of Tokyo Press, Tokyo.
Sheremet, A., and Stiassnie, M. (1996). “Laboratory validation of nonlinear shoaling computations.” ICZM in the Mediterranean & Black Sea, Proc., Int. Workshop, Sarigerme, Turkey, 391–403.

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Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 132Issue 3May 2006
Pages: 166 - 171

History

Received: Oct 1, 2004
Accepted: Aug 22, 2005
Published online: May 1, 2006
Published in print: May 2006

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Authors

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Michael Stiassnie
Professor, Dept. of Civil and Environmental Engineering, Technion-Israel Institute of Technology, Haifa 32000, Israel (corresponding author). E-mail: [email protected]
Nitai Drimer
Director, Coastal And Marine Engineering Research Institute (CAMERI), Technion City, Haifa 32000, Israel. E-mail: [email protected]

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