Distribution of wave crests in a non-Gaussian sea
(2009) In Applied Ocean Research 31(1). p.57-64- Abstract
- 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... (More)
- 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. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1474360
- author
- Butler, R.W. ; Machado, U.B. and Rychlik, Igor LU
- organization
- publishing date
- 2009
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Crest distribution, saddlepoint method, Rice's formula, non-Gaussian sea
- in
- Applied Ocean Research
- volume
- 31
- issue
- 1
- pages
- 57 - 64
- publisher
- Elsevier
- external identifiers
-
- wos:000269718800008
- scopus:67650904195
- ISSN
- 1879-1549
- DOI
- 10.1016/j.apor.2009.05.001
- language
- English
- LU publication?
- yes
- id
- fb2b3e22-6726-489e-b856-530a9de62e96 (old id 1474360)
- date added to LUP
- 2016-04-01 12:05:58
- date last changed
- 2022-01-26 22:46:21
@article{fb2b3e22-6726-489e-b856-530a9de62e96,
abstract = {{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.}},
author = {{Butler, R.W. and Machado, U.B. and Rychlik, Igor}},
issn = {{1879-1549}},
keywords = {{Crest distribution; saddlepoint method; Rice's formula; non-Gaussian sea}},
language = {{eng}},
number = {{1}},
pages = {{57--64}},
publisher = {{Elsevier}},
series = {{Applied Ocean Research}},
title = {{Distribution of wave crests in a non-Gaussian sea}},
url = {{http://dx.doi.org/10.1016/j.apor.2009.05.001}},
doi = {{10.1016/j.apor.2009.05.001}},
volume = {{31}},
year = {{2009}},
}