On the joint distribution of wave periods and amplitudes in a random wave field
A theoretical probability density is derived for the joint distribution of wave periods and amplitudes which has the following properties: (1) the distribution is asymmetric, in accordance with observation; (2) it depends only on three lowest moments m 0 , m 1 , m 2 of the spectral density function....
Published in: | Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences |
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Format: | Article in Journal/Newspaper |
Language: | English |
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The Royal Society
1983
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Online Access: | http://dx.doi.org/10.1098/rspa.1983.0107 https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1983.0107 |
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crroyalsociety:10.1098/rspa.1983.0107 2024-06-23T07:55:08+00:00 On the joint distribution of wave periods and amplitudes in a random wave field 1983 http://dx.doi.org/10.1098/rspa.1983.0107 https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1983.0107 en eng The Royal Society https://royalsociety.org/journals/ethics-policies/data-sharing-mining/ Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences volume 389, issue 1797, page 241-258 ISSN 0080-4630 journal-article 1983 crroyalsociety https://doi.org/10.1098/rspa.1983.0107 2024-06-10T04:15:11Z A theoretical probability density is derived for the joint distribution of wave periods and amplitudes which has the following properties: (1) the distribution is asymmetric, in accordance with observation; (2) it depends only on three lowest moments m 0 , m 1 , m 2 of the spectral density function. It is therefore independent of the fourth moment m 4 , which previously was used to define the spectral width (Cavanié et al . 1976). In the present model the width is defined by the lower-order parameter v = ( m 0 m 2 / m 2 1 - 1) ½ . The distribution agrees quite well with wave data taken in the North Atlantic (Chakrabarti & Cooley 1977) and with other data from the Sea of Japan (Goda 1978). Among the features predicted is that the total distribution of wave heights is slightly non-Rayleigh, and that the interquartile range of the conditional wave period distribution tends to zero as the wave amplitude diminishes. The analytic expressions are simpler than those derived previously, and may be useful in handling real statistical data. Article in Journal/Newspaper North Atlantic The Royal Society Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences 389 1797 241 258 |
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Open Polar |
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The Royal Society |
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crroyalsociety |
language |
English |
description |
A theoretical probability density is derived for the joint distribution of wave periods and amplitudes which has the following properties: (1) the distribution is asymmetric, in accordance with observation; (2) it depends only on three lowest moments m 0 , m 1 , m 2 of the spectral density function. It is therefore independent of the fourth moment m 4 , which previously was used to define the spectral width (Cavanié et al . 1976). In the present model the width is defined by the lower-order parameter v = ( m 0 m 2 / m 2 1 - 1) ½ . The distribution agrees quite well with wave data taken in the North Atlantic (Chakrabarti & Cooley 1977) and with other data from the Sea of Japan (Goda 1978). Among the features predicted is that the total distribution of wave heights is slightly non-Rayleigh, and that the interquartile range of the conditional wave period distribution tends to zero as the wave amplitude diminishes. The analytic expressions are simpler than those derived previously, and may be useful in handling real statistical data. |
format |
Article in Journal/Newspaper |
title |
On the joint distribution of wave periods and amplitudes in a random wave field |
spellingShingle |
On the joint distribution of wave periods and amplitudes in a random wave field |
title_short |
On the joint distribution of wave periods and amplitudes in a random wave field |
title_full |
On the joint distribution of wave periods and amplitudes in a random wave field |
title_fullStr |
On the joint distribution of wave periods and amplitudes in a random wave field |
title_full_unstemmed |
On the joint distribution of wave periods and amplitudes in a random wave field |
title_sort |
on the joint distribution of wave periods and amplitudes in a random wave field |
publisher |
The Royal Society |
publishDate |
1983 |
url |
http://dx.doi.org/10.1098/rspa.1983.0107 https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1983.0107 |
genre |
North Atlantic |
genre_facet |
North Atlantic |
op_source |
Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences volume 389, issue 1797, page 241-258 ISSN 0080-4630 |
op_rights |
https://royalsociety.org/journals/ethics-policies/data-sharing-mining/ |
op_doi |
https://doi.org/10.1098/rspa.1983.0107 |
container_title |
Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences |
container_volume |
389 |
container_issue |
1797 |
container_start_page |
241 |
op_container_end_page |
258 |
_version_ |
1802647570196987904 |