The statistics of wave crest elevation in a random, directionally spread sea are calculated using a novel approach. The nonlinearity of steep waves is modelled to second order using Sharma and Dean kinematics and a spectral response surface method is used to deduce the crest elevation corresponding to a given probability of exceedance. The spectral response surface method works in the probability domain, making it several times faster than conventional time domain simulation of random waves. However, the results from the two methods show good agreement. As expected, nonlinearity makes extreme crests higher than the corresponding linear ones.
A Spectral Response Surface Method for Calculating Crest Elevation Statistics
Contributed by the OOAE Division for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received October 2002; final revision, March 2003. Associate Editor: G. Forristall.
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Tromans, P. S., and Vanderschuren, L. (March 2, 2004). "A Spectral Response Surface Method for Calculating Crest Elevation Statistics ." ASME. J. Offshore Mech. Arct. Eng. February 2004; 126(1): 51–53. https://doi.org/10.1115/1.1641390
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