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Distribution of wave crests in a non-Gaussian sea

Butler, R.W.; Machado, U.B. and Rychlik, Igor LU (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)
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author
organization
publishing date
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
2009-09-17 13:27:35
date last changed
2017-08-06 03:41:01
@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},
  keyword      = {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},
  volume       = {31},
  year         = {2009},
}