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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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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