A Spectral Response Surface Method for Calculating Crest Elevation Statistics

Author:

Tromans Peter S.1,Vanderschuren Luc2

Affiliation:

1. Imperial College, London, England, and Peter Tromans Engineering

2. Engineering Systems, Louvain-la-Neuve, Belgium

Abstract

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.

Publisher

ASME International

Subject

Mechanical Engineering,Ocean Engineering

Reference17 articles.

1. Haring, R. E., Osborne, A. R., and Spencer, L. P. (1976) “Extreme wave parameters based on continental shelf strom wave records.” Proc. 15th Int. Conf. on Coastal Engineering, Honolulu, USA, 151–170.

2. Tayfun, M. A. , 1980, “Narrow-band non-linear sea waves.” J. Geophys. Res., [Oceans], 85, 1548–1552.

3. Huang, N. E., Bliven, L. F., Long, S. R., and Tung, C. C., 1986, “An analytical model for oceanic whitecap coverage.” J. Phys. Oceanogr., 16, 1597–1604.

4. Kriebel, D. L., and Dawson, T. H. (1993), “Nonlinearity in wave crest statistics.” Proc. Second Int. Symp. on Ocean Wave Measurement and Analysis, New Orleans, LA, USA, ASCE, 61–75.

5. Jensen, J. J. , 1996, “Second-order wave kinematics conditional on a given wave crest.” Appl. Ocean. Res., 18, 119–128.

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