Wave intensities and slopes in Lagrangian seas
(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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1407527
- author
- Åberg, Sofia LU
- organization
- publishing date
- 2007
- 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
- 2016-04-01 11:54:15
- date last changed
- 2022-01-26 19:59:22
@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}},
keywords = {{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}},
doi = {{10.1239/aap/1198177237}},
volume = {{39}},
year = {{2007}},
}