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Statistical Properties of Envelope Field for Gaussian Sea Surface

Podgorski, Krzysztof LU and Rychlik, Igor LU (2002) 21st International Conference on Offshore Mechanics and Arctic Engineering In Proceedings of OMAE'02
Abstract
The envelope process is a useful analytical tool which is often used to study wave groups. Most research on statistical properties of the envelope, and thus of wave groups, was focused on one dimensional records. However for the marine application, an appropriate concept should be two dimensional in space and variable int time. Although a generalization to higher dimensions was introduced by Adler (1978), little work was done to investigate its features. Since the envelope is not defined uniquely and its properties depend on a chosen version, we discuss the definition of the envelope field for a two dimensional random field evolving in time which serves as a model of irregular sea surface. Assuming Gaussian distribution of this field we... (More)
The envelope process is a useful analytical tool which is often used to study wave groups. Most research on statistical properties of the envelope, and thus of wave groups, was focused on one dimensional records. However for the marine application, an appropriate concept should be two dimensional in space and variable int time. Although a generalization to higher dimensions was introduced by Adler (1978), little work was done to investigate its features. Since the envelope is not defined uniquely and its properties depend on a chosen version, we discuss the definition of the envelope field for a two dimensional random field evolving in time which serves as a model of irregular sea surface. Assuming Gaussian distribution of this field we derive sampling properties of the height of the envelope field as well as of its velocity. The latter is important as the velocity of the envelope is related to the rate at which energy is transported by propagating waves. We also study how statistical distributions of group waves differ from the corresponding ones for individual waves and how a choice of a version of the envelope affects its sampling distributions. Analysing the latter problem helps in determination of the version which is appropriate in an application in hand. (Less)
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Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
Proceedings of OMAE'02
conference name
21st International Conference on Offshore Mechanics and Arctic Engineering
external identifiers
  • Scopus:0036441769
language
English
LU publication?
yes
id
db0ad035-6192-402c-83e7-a104cc01e49e (old id 630272)
date added to LUP
2007-11-29 13:51:35
date last changed
2016-10-13 04:54:45
@misc{db0ad035-6192-402c-83e7-a104cc01e49e,
  abstract     = {The envelope process is a useful analytical tool which is often used to study wave groups. Most research on statistical properties of the envelope, and thus of wave groups, was focused on one dimensional records. However for the marine application, an appropriate concept should be two dimensional in space and variable int time. Although a generalization to higher dimensions was introduced by Adler (1978), little work was done to investigate its features. Since the envelope is not defined uniquely and its properties depend on a chosen version, we discuss the definition of the envelope field for a two dimensional random field evolving in time which serves as a model of irregular sea surface. Assuming Gaussian distribution of this field we derive sampling properties of the height of the envelope field as well as of its velocity. The latter is important as the velocity of the envelope is related to the rate at which energy is transported by propagating waves. We also study how statistical distributions of group waves differ from the corresponding ones for individual waves and how a choice of a version of the envelope affects its sampling distributions. Analysing the latter problem helps in determination of the version which is appropriate in an application in hand.},
  author       = {Podgorski, Krzysztof and Rychlik, Igor},
  language     = {eng},
  series       = {Proceedings of OMAE'02},
  title        = {Statistical Properties of Envelope Field for Gaussian Sea Surface},
  year         = {2002},
}