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Analysis and Applications of Second-Order Models for Maximum Crest Height

[+] Author and Article Information
Harald E. Krogstad

Dept. Math. Sciences, NTNU, N-7491 Trondheim, NORWAYe-mail: harald.krogstad@math.ntnu.no

Stephen F. Barstow

OCEANOR ASA, Pirsenteret, N-7005 Trondheim, NORWAYe-mail: sbarstow@oceanor.no

J. Offshore Mech. Arct. Eng 126(1), 66-71 (Mar 02, 2004) (6 pages) doi:10.1115/1.1641798 History: Received October 01, 2002; Revised February 01, 2003; Online March 02, 2004
Copyright © 2004 by ASME
Topics: Waves , Water , Sensors
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References

Prevosto,  M., Krogstad,  H. E., and Robin,  A., 2000, “Probability Distributions for Maximum Wave and Crest Heights,” Coastal Eng., 40, pp. 329–360.
Forristall,  G. Z., 2000, “Wave Crest Distributions: Observations and Second Order Theory,” J. Phys. Ocean., 30, pp. 1931–1943.
Leadbetter, M. R., Lindgren, G., and Rootzen, H., 1983, Extremes and related properties of random sequences and processes, Springer-Verlag, New York.
Tucker, M. J., 1991, “Waves in Ocean Engineering; measurement, analysis, interpretation,” Ellis Horwood Series in Marine Science.
Prevosto, M., Forristall, G. Z., Van Iseghem, S., and Moreau, B., 2001, “WACSIS—Common Data Base—Analyses—Crest Height,” WACSIS internal report.
Forristall, G. Z., 2002, “Wave Crest Sensor Intercomparison Study: An overview of WACSIS,” OMAE 2002, Oslo.
Borgman,  L., 1973, “Probabilities for highest wave in hurricane,” J. Waterways, Harbors, and Coastal Engineering, Div. ASCE 99, pp. 185–207.
Krogstad,  H. E., 1985, “Height and period distributions of extreme waves,” Appl. Ocean. Res., 7(3), pp. 158–165.
Krogstad, H. E., and S. Barstow, 2000, “A Unified Approach to Extreme Value Analysis of Ocean Waves,” Proc. ISOPE 2000, Seattle, USA, 3 , pp. 103–108.
Barstow, S. F., Athanassoulis, M., and Cavaleri, L., 2000, “EUROWAVES: Integration of data from many sources in a user-friendly software package for calculation of wave statistics in European coastal waters,” Proc. Oceanology International 2000 Conference, Brighton, UK, March 2000, pp. 269–277 (CD-ROM)

Figures

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Ursell numbers, Ur, and steepness, S1, for all data sets.
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Distribution of the maximum crest height divided by the significant wave height, ηmax/Hs.
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Distribution functions for the Kolmogorov-Smirnov variable U.
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Ratio between the observed maximum crest height and the expected maximum crest height assuming Forristall’s model.
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Empirical distribution functions for optimally fitted α and β parameters (only including Hs>2m).
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Mode of the maximum crest height scaled by the significant wave height for steepness=.07 and Ursell number 0.05 (typical for the WACSIS data set) compared to the laser and buoy results in the WADIC experiment, and a Gaussian sea.
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Second-order theory for deep water waves shown for s1=0 (Gaussian theory), 0.05, 0.10, and 0.15.
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Predictions of the mode of the maximum crest based on optimally fit Weibull distributions for the various data sets (G: Gauss, T: Thorn, B: Baylor, S: Saab, V: Vlissingen). The Marex data did not fit well and has been left out.
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Time series of significant wave height and mean wave period for a storm at the Frigg field (courtesy of Elf Petroleum Norge as).
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Probability density for the maximum crest height during the Frigg storm. The water depth has been varied, whereas the sea-state time history is kept the same.
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Vøringplatået, Norwegian Sea. The plot shows the distribution of Hs to the left, and the probability density of the maximum crest height for a time span of 100 years to the right. The displayed parameters are explained in the text.
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Ekofisk, North Sea. For legend, see Fig. 11 and the text.
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Data from the North Sea coast. For legend, see Fig. 11 and the text.

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