Groupiness Factor and Wave Height Distribution
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 115, Issue 1
Abstract
This paper examines wave height distributions in connection with wave grouping. The relationship between the groupiness factor, GF, calculated from Smoothed Instantaneous Wave Energy History (SIWEH) and the shape factor, m, of the one parameter Weibull distribution adopted to represent observed wave height distributions is examined by analyzing two field wave data sets and laboratory experimental data of transformation of wave grouping and wave height distributions over a plane beach of 1/20 slope. There is a moderate linear correlation between GF and m with a correlation coefficient of and the standard deviation of the difference between the observations and the results of the equation obtained by the least squares fit is 0.12. The value of GF becomes small in shoaling water, taking a minimum value around 0.8 times the still water depth normalized by the deep water significant wave height, while the value of m becomes maximum there.
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References
1.
Battjes, J. A., and Van Vledder, G. Ph. (1984). “Verification of Kimura's theory for wave group statistics.” Proc. 19th Coastal Engrg. Conf., ASCE, 642–648.
2.
Chuang, M.‐C., and Kao, C.‐C. (1987). “The non‐Gaussian characteristics of waves in various water depth: An analysis of field observations.” Proc. Coastal Hydrodynamics, ASCE, 343–355.
3.
Cohen, A. C., Jr. (1965). “Maximum likelihood estimation in Weibull distribution based on complete and on censored samples.” Technometrics, 7(4), 579–588.
4.
Forristall, G. Z. (1978). “On the statistical distribution of wave heights in a storm.” J. Geophys. Res., 83(C5), 2353–2358.
5.
Funke, E. R., and Mansard, E. P. D. (1979). “On the synthesis of realistic sea states in a laboratory flume.” Hydraulics Laboratory Report LTR‐HY‐66, National Res. Council of Canada, Ottawa, Canada.
6.
Goda, Y. (1983). “Analysis of wave grouping and spectra of long‐travelled swell.” Report Port and Harbour Res. Inst., Ministry of Transp., Japan, 22(1), 3–41.
7.
Hameed, T. S. S., and Baba, M. (1985). “Wave height distribution in shallow water.” Ocean Engrg., 12(4), 309–319.
8.
Hughes, S. A., and Borgman, L. E. (1987). “Beta‐Rayleigh distribution for shallow water wave heights.” Proc. Coastal Hydrodynamics, ASCE, 17–31.
9.
Kimura, A. (1980). “Statistical properties of random wave groups.” Proc. 17th Coastal Engrg. Conf., ASCE, 2955–2973.
10.
Kjeldsen, S. P. (1982). “2‐ and 3‐dimensional deterministic freak waves.” Proc. 18th Coastal Engrg. Conf., ASCE, 677–694.
11.
Longuet‐Higgins, M. S. (1953). “On the statistical distribution of the heights of sea waves.” J. Marine Res., 11(3), 245–266.
12.
Mansard, E. P. D., and Funke, E. R. (1982). “A new approach to transient wave generation.” Proc. 18th Coastal Engrg. Conf., ASCE, 710–724.
13.
Mase, H., and Iwagaki, Y. (1982). “Wave height distributions and wave grouping in surf zone.” Proc. 18th Coastal Engrg. Conf., ASCE, 58–76.
14.
Mase, H., and Iwagaki, Y. (1984). “An analysis of wave data for wave grouping.” Coastal Engrg. in Japan, JSCE, 27, 83–96.
15.
Mase, H., and Iwagaki, Y. (1986). “Wave group analysis of natural wind waves based on modulational instability theory.” Coastal Engrg., 10(4), 341–354.
16.
Mase, H., and Iwagaki, Y. (1987). “Evolution of wave groups in shallow water and wave group properties of random waves.” Coastal Engrg. in Japan, JSCE, 30(1), 19–32.
17.
Mase, H., Kita, N., and Iwagaki, Y. (1983). “Random wave simulation considering wave groups.” Coastal Engrg. in Japan, JSCE, 26, 61–75.
18.
Nolte, K. G., and Hsu, F. H. (1979). “Statistics of larger waves in a sea state.” J. Wtrway., Port, Coast., and Oc. Engrg., 105(WW4), 389–404.
19.
Thomas, K. V., Baba, M., and Harish, C. M. (1986). “Wave groupiness in longtraveled swell.” J. Wtrway., Port, Coast., and Oc. Engrg., ASCE, 112(4) 498–511.
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Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 115 • Issue 1 • January 1989
Pages: 105 - 121
Copyright
Copyright © 1989 ASCE.
History
Published online: Jan 1, 1989
Published in print: Jan 1989
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