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
Your Session has timed out. Please sign back in to continue.


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)


Grahic Jump Location
Ursell numbers, Ur, and steepness, S1, for all data sets.
Grahic Jump Location
Distribution of the maximum crest height divided by the significant wave height, ηmax/Hs.
Grahic Jump Location
Distribution functions for the Kolmogorov-Smirnov variable U.
Grahic Jump Location
Ratio between the observed maximum crest height and the expected maximum crest height assuming Forristall’s model.
Grahic Jump Location
Empirical distribution functions for optimally fitted α and β parameters (only including Hs>2m).
Grahic Jump Location
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.
Grahic Jump Location
Second-order theory for deep water waves shown for s1=0 (Gaussian theory), 0.05, 0.10, and 0.15.
Grahic Jump Location
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.
Grahic Jump Location
Time series of significant wave height and mean wave period for a storm at the Frigg field (courtesy of Elf Petroleum Norge as).
Grahic Jump Location
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.
Grahic Jump Location
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.
Grahic Jump Location
Ekofisk, North Sea. For legend, see Fig. 11 and the text.
Grahic Jump Location
Data from the North Sea coast. For legend, see Fig. 11 and the text.



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In