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Wave statistics in non-linear random sea

Machado, Ulla B. and Rychlik, Igor LU (2003) In Extremes 6. p.125-146
Abstract
The sea elevation at a fixed point is modeled as a sum of Gaussian process plus a quadratic random correction term. It is shown that the process can also be written as a quadratic form of a vector valued Gaussian process with arbitrary mean. The saddlepoint method is used to approximate the intensity μ(u), say, the sea level crosses the level u. The accuracy of the proposed method is studied. In examples the computed intensity is used to bound the wave crest distribution. The bounds are compared with empirical distributions derived from simulations.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Rice's formula, non-Gaussian sea, saddlepoint method, crest distribution
in
Extremes
volume
6
pages
125 - 146
publisher
Kluwer
ISSN
1572-915X
language
English
LU publication?
yes
id
cd21b225-1392-447f-93c5-2b467ddc07c2 (old id 698742)
date added to LUP
2007-12-05 15:30:46
date last changed
2016-04-16 09:04:32
@article{cd21b225-1392-447f-93c5-2b467ddc07c2,
  abstract     = {The sea elevation at a fixed point is modeled as a sum of Gaussian process plus a quadratic random correction term. It is shown that the process can also be written as a quadratic form of a vector valued Gaussian process with arbitrary mean. The saddlepoint method is used to approximate the intensity μ(u), say, the sea level crosses the level u. The accuracy of the proposed method is studied. In examples the computed intensity is used to bound the wave crest distribution. The bounds are compared with empirical distributions derived from simulations.},
  author       = {Machado, Ulla B. and Rychlik, Igor},
  issn         = {1572-915X},
  keyword      = {Rice's formula,non-Gaussian sea,saddlepoint method,crest distribution},
  language     = {eng},
  pages        = {125--146},
  publisher    = {Kluwer},
  series       = {Extremes},
  title        = {Wave statistics in non-linear random sea},
  volume       = {6},
  year         = {2003},
}