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Stochastic asymmetry properties of 3D Gauss-Lagrange ocean waves with directional spreading

Lindgren, Georg LU and Lindgren, Finn (2011) In Stochastic Models 27(3). p.490-520
Abstract
In the stochastic Lagrange model for ocean waves the vertical and horizontal location of

surface water particles are modeled as correlated Gaussian processes. In this article we investigate

the statistical properties of wave characteristics related to wave asymmetry in the 3D Lagrange

model. We present a modification of the original Lagrange model that can produce front-back

asymmetry both of the space waves, i.e. observation of the sea surface at a fixed time, and

of the time waves, observed at a fixed measuring station. The results, which are based on a

multivariate form of Rice’s formula for the expected number of level crossings, are given in

the form of the cumulative... (More)
In the stochastic Lagrange model for ocean waves the vertical and horizontal location of

surface water particles are modeled as correlated Gaussian processes. In this article we investigate

the statistical properties of wave characteristics related to wave asymmetry in the 3D Lagrange

model. We present a modification of the original Lagrange model that can produce front-back

asymmetry both of the space waves, i.e. observation of the sea surface at a fixed time, and

of the time waves, observed at a fixed measuring station. The results, which are based on a

multivariate form of Rice’s formula for the expected number of level crossings, are given in

the form of the cumulative distribution functions for the slopes observed either by asynchronous

sampling in space, or at synchronous sampling at upcrossings and down-crossings, respectively,

of a specified fixed level. The theory is illustrated in a numerical section, showing how the

degree of wave asymmetry depends on the directional spectral spreading and on the mean wave

direction. It is seen that the asymmetry is more accentuated for high waves, a fact that may be

of importance in safety analysis of capsizing risk. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Crossing theory, Directional spreading, Front-back asymmetry, Gaussian process, Palm distribution, Rice formula, Slope asymmetry, Wave steepness.
in
Stochastic Models
volume
27
issue
3
pages
490 - 520
publisher
Taylor & Francis
external identifiers
  • wos:000299783500006
  • scopus:80051479926
ISSN
1532-6349
DOI
10.1080/15326349.2011.593410
project
MERGE
BECC
language
English
LU publication?
yes
id
96fa8d9f-e633-4b7b-8b71-41622ef71ef5 (old id 2061970)
date added to LUP
2011-08-26 15:28:15
date last changed
2017-10-22 03:11:57
@article{96fa8d9f-e633-4b7b-8b71-41622ef71ef5,
  abstract     = {In the stochastic Lagrange model for ocean waves the vertical and horizontal location of<br/><br>
surface water particles are modeled as correlated Gaussian processes. In this article we investigate<br/><br>
the statistical properties of wave characteristics related to wave asymmetry in the 3D Lagrange<br/><br>
model. We present a modification of the original Lagrange model that can produce front-back<br/><br>
asymmetry both of the space waves, i.e. observation of the sea surface at a fixed time, and<br/><br>
of the time waves, observed at a fixed measuring station. The results, which are based on a<br/><br>
multivariate form of Rice’s formula for the expected number of level crossings, are given in<br/><br>
the form of the cumulative distribution functions for the slopes observed either by asynchronous<br/><br>
sampling in space, or at synchronous sampling at upcrossings and down-crossings, respectively,<br/><br>
of a specified fixed level. The theory is illustrated in a numerical section, showing how the<br/><br>
degree of wave asymmetry depends on the directional spectral spreading and on the mean wave<br/><br>
direction. It is seen that the asymmetry is more accentuated for high waves, a fact that may be<br/><br>
of importance in safety analysis of capsizing risk.},
  author       = {Lindgren, Georg and Lindgren, Finn},
  issn         = {1532-6349},
  keyword      = {Crossing theory,Directional spreading,Front-back asymmetry,Gaussian
process,Palm distribution,Rice formula,Slope asymmetry,Wave steepness.},
  language     = {eng},
  number       = {3},
  pages        = {490--520},
  publisher    = {Taylor & Francis},
  series       = {Stochastic Models},
  title        = {Stochastic asymmetry properties of 3D Gauss-Lagrange ocean waves with directional spreading},
  url          = {http://dx.doi.org/10.1080/15326349.2011.593410},
  volume       = {27},
  year         = {2011},
}