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Distribution of wave crests in non-Gaussian sea

Ronald W. Butler ; Ulla Machado ; Igor Rychlik (Institutionen för matematiska vetenskaper, matematisk statistik)
Applied Ocean Research (0141-1187). Vol. 31 (2009), 1, p. 57-64.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: Crest distribution; Non-Gaussian sea; Rice's formula; Saddlepoint method



Denna post skapades 2010-01-12. Senast ändrad 2016-07-25.
CPL Pubid: 106691

 

Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematisk statistik (2005-2016)

Ämnesområden

Matematisk statistik

Chalmers infrastruktur