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Wave intensities and slopes in Lagrangian seas

Åberg, Sofia LU (2007) In Advances in Applied Probability 39(4). p.1020-1035
Abstract
In many applications, such as remote sensing or wave slamming on ships and offshore structures, it is important to have a good model for wave slope. Today, most models are based on the assumption that the sea surface is well described by a Gaussian random field. However, since the Gaussian model does not capture several important features of real ocean waves, e.g. the asymmetry of crests and troughs, it may lead to unconservative safety estimates. An alternative is to use a stochastic Lagrangian wave model. Few studies have been carried out on the Lagrangian model; in particular, very little is known about its probabilistic properties. Therefore, in this paper we derive expressions for the level-crossing intensity of the Lagrangian sea... (More)
In many applications, such as remote sensing or wave slamming on ships and offshore structures, it is important to have a good model for wave slope. Today, most models are based on the assumption that the sea surface is well described by a Gaussian random field. However, since the Gaussian model does not capture several important features of real ocean waves, e.g. the asymmetry of crests and troughs, it may lead to unconservative safety estimates. An alternative is to use a stochastic Lagrangian wave model. Few studies have been carried out on the Lagrangian model; in particular, very little is known about its probabilistic properties. Therefore, in this paper we derive expressions for the level-crossing intensity of the Lagrangian sea surface, which has the interpretation of wave intensity, as well as the distribution of the wave slope at an arbitrary crossing. These results are then compared to the corresponding intensity and distribution of slope for the Gaussian model. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Rice's formula, Palm distribution, Gaussian process, crossing theory, wave steepness
in
Advances in Applied Probability
volume
39
issue
4
pages
1020 - 1035
publisher
Applied Probability Trust
external identifiers
  • wos:000253218900010
  • scopus:39549107110
ISSN
0001-8678
DOI
10.1239/aap/1198177237
language
English
LU publication?
yes
id
c350f228-f560-4ba5-969b-98573b7f20fc (old id 1407527)
date added to LUP
2009-05-29 15:23:49
date last changed
2017-01-01 04:39:08
@article{c350f228-f560-4ba5-969b-98573b7f20fc,
  abstract     = {In many applications, such as remote sensing or wave slamming on ships and offshore structures, it is important to have a good model for wave slope. Today, most models are based on the assumption that the sea surface is well described by a Gaussian random field. However, since the Gaussian model does not capture several important features of real ocean waves, e.g. the asymmetry of crests and troughs, it may lead to unconservative safety estimates. An alternative is to use a stochastic Lagrangian wave model. Few studies have been carried out on the Lagrangian model; in particular, very little is known about its probabilistic properties. Therefore, in this paper we derive expressions for the level-crossing intensity of the Lagrangian sea surface, which has the interpretation of wave intensity, as well as the distribution of the wave slope at an arbitrary crossing. These results are then compared to the corresponding intensity and distribution of slope for the Gaussian model.},
  author       = {Åberg, Sofia},
  issn         = {0001-8678},
  keyword      = {Rice's formula,Palm distribution,Gaussian process,crossing theory,wave steepness},
  language     = {eng},
  number       = {4},
  pages        = {1020--1035},
  publisher    = {Applied Probability Trust},
  series       = {Advances in Applied Probability},
  title        = {Wave intensities and slopes in Lagrangian seas},
  url          = {http://dx.doi.org/10.1239/aap/1198177237},
  volume       = {39},
  year         = {2007},
}