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How fast are the two-dimensional gaussian waves?

Baxevani, Anastassia LU ; Podgorski, Krzysztof LU and Rychlik, Igor LU (2002) Proceedings of the Twelfth (2002) International Offshore and Polar Engineering Conference In Proceedings of the International Offshore and Polar Engineering Conference 12. p.18-25
Abstract
For a stationary two-dimensional random field evolving in time, we derive the intensity distributions of appropriately defined velocities of crossing contours. The results are based on a generalization of the Rice formula. The theory can be applied to practical problems where evolving random fields are considered to be adequate models. We study dynamical aspects of deep sea waves by applying the derived results to Gaussian fields modeling irregular sea surfaces. In doing so, we obtain distributions of velocities for the sea surface as well as for the envelope field based on this surface. Examples of wave and wave group velocities are computed numerically and illustrated graphically.
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Level crossing contours, Rice formulae, Directional spectrum, Gaussian sea, Wave groups
in
Proceedings of the International Offshore and Polar Engineering Conference
volume
12
pages
18 - 25
publisher
International Society of Offshore and Polar Engineers
conference name
Proceedings of the Twelfth (2002) International Offshore and Polar Engineering Conference
external identifiers
  • WOS:000223062500003
  • Other:CODEN: POPEEG
  • Scopus:1842427352
language
English
LU publication?
yes
id
06f81479-74dd-4272-ad8f-0fff54e39c96 (old id 611741)
date added to LUP
2007-11-23 15:14:20
date last changed
2017-01-01 08:00:46
@inproceedings{06f81479-74dd-4272-ad8f-0fff54e39c96,
  abstract     = {For a stationary two-dimensional random field evolving in time, we derive the intensity distributions of appropriately defined velocities of crossing contours. The results are based on a generalization of the Rice formula. The theory can be applied to practical problems where evolving random fields are considered to be adequate models. We study dynamical aspects of deep sea waves by applying the derived results to Gaussian fields modeling irregular sea surfaces. In doing so, we obtain distributions of velocities for the sea surface as well as for the envelope field based on this surface. Examples of wave and wave group velocities are computed numerically and illustrated graphically.},
  author       = {Baxevani, Anastassia and Podgorski, Krzysztof and Rychlik, Igor},
  booktitle    = {Proceedings of the International Offshore and Polar Engineering Conference},
  keyword      = {Level crossing contours,Rice formulae,Directional spectrum,Gaussian sea,Wave groups},
  language     = {eng},
  pages        = {18--25},
  publisher    = {International Society of Offshore and Polar Engineers},
  title        = {How fast are the two-dimensional gaussian waves?},
  volume       = {12},
  year         = {2002},
}