Distribution of wave crests in non-Gaussian sea
Journal article, 2009

The sea elevation at a fixed point is modelled as a quadratic form of a vector valued Gaussian process with arbitrary mean. With this model, saddlepoint methods are used to approximate the mean upcrossing intensity with which the sea level crosses upwards at a certain height. This estimated intensity is further used to determine the probability distribution of wave crests. The use of saddlepoint technique is particularly important here because it can approximate the crest distribution without the need to perform simulations or use fitted distributions. Several numerical examples are given, including two with measured data. In the cases of real data, the results obtained with the saddlepoint technique are also compared with the results obtained with well known methods commonly used in the industry. © 2009 Elsevier Ltd. All rights reserved.

Non-Gaussian sea

Saddlepoint method

Rice's formula

Crest distribution

Author

Ronald W. Butler

Colorado State University

Ulla Machado

Fraunhofer-Chalmers Centre

Chalmers

Igor Rychlik

Chalmers, Mathematical Sciences, Mathematical Statistics

University of Gothenburg

Applied Ocean Research

0141-1187 (ISSN)

Vol. 31 1 57-64

Subject Categories

Probability Theory and Statistics

DOI

10.1016/j.apor.2009.05.001