Research Article
Feb 1977
Second Approximation to Gravity Wave Attenuation
Publication: Journal of the Waterway, Port, Coastal and Ocean Division
Volume 103, Issue 1
Abstract
A second approximation is developed for the viscous damping of cnoidal waves propagating over a smooth horizontal bed. Experimental data are needed to examine the ranges of validity of the theory, although it may possibly apply at greater depths than does the first approximation and over a wider range of heights than does the theory of sinusoidal wave damping. Calculated attenuation coefficients vary markedly with wave height itself and for shallow water they are considerably larger than those predicted by sinusoidal wave theory, whereas for intermediate depths they are slightly smaller. The variation of wave number with distance, not predicted by the first approximation, is also determined. The damping of second order Stokes waves is shown to be given by the sinusoidal wave approximation.
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Information
Published In
Journal of the Waterway, Port, Coastal and Ocean Division
Volume 103 • Issue 1 • February 1977
Pages: 43 - 55
Copyright
© 1977 American Society of Civil Engineers.
History
Published in print: Feb 1977
Published online: Feb 12, 2021
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Authors
Affiliations
Michael de St.Q. Isaacson
Asst. Prof., Dept. of Civ. Engrg., Univ. of British Columbia, Vancouver, Canada; formerly, Postdoct. Research Assoc., Joint Tsunami Research Effort, National Oceanic and Atmospheric Administration, Honolulu, Hawaii
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