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Wave characteristics distributions for Gaussian waves - wave-length, amplitude and steepness

Lindgren, Georg LU orcid and Rychlik, Igor LU (1982) In Ocean Engineering 9(5). p.411-432
Abstract
In as tationary stochastic process the wave-length and amplitude are defined as the difference in time and height between a crest and the following trough. The distributions of these quantities are of great practical importance, but no closed form expressions are known at present. In previous papers we have presented an approximation which gives correct upper and lower bounds, regardless of the covariance structure under Gaussian assumptions. In this paper the suggested approximations are compared to two simpler approximations, one due to Cavanié et al. (1976) based on a cosine process and a new one, derived by replacing the model process by its regression curve.
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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Ocean Engineering
volume
9
issue
5
pages
411 - 432
publisher
Elsevier
external identifiers
  • scopus:0020292721
ISSN
1873-5258
DOI
10.1016/0029-8018(82)90034-8
language
English
LU publication?
yes
id
117b9431-45dd-41a2-88b0-137d21212fdb (old id 1215224)
alternative location
http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6V4F-482GPC4-6P-1&_cdi=5757&_user=745831&_orig=search&_coverDate=12%2F31%2F1982&_sk=999909994&view=c&wchp=dGLbVlb-zSkWz&md5=95ad74bb14c4044ce90b77066bff5c65&ie=/sdarticle.pdf
date added to LUP
2016-04-01 12:10:12
date last changed
2021-08-29 03:26:30
@article{117b9431-45dd-41a2-88b0-137d21212fdb,
  abstract     = {{In as tationary stochastic process the wave-length and amplitude are defined as the difference in time and height between a crest and the following trough. The distributions of these quantities are of great practical importance, but no closed form expressions are known at present. In previous papers we have presented an approximation which gives correct upper and lower bounds, regardless of the covariance structure under Gaussian assumptions. In this paper the suggested approximations are compared to two simpler approximations, one due to Cavanié et al. (1976) based on a cosine process and a new one, derived by replacing the model process by its regression curve.}},
  author       = {{Lindgren, Georg and Rychlik, Igor}},
  issn         = {{1873-5258}},
  language     = {{eng}},
  number       = {{5}},
  pages        = {{411--432}},
  publisher    = {{Elsevier}},
  series       = {{Ocean Engineering}},
  title        = {{Wave characteristics distributions for Gaussian waves - wave-length, amplitude and steepness}},
  url          = {{http://dx.doi.org/10.1016/0029-8018(82)90034-8}},
  doi          = {{10.1016/0029-8018(82)90034-8}},
  volume       = {{9}},
  year         = {{1982}},
}