Statistical modeling of the sea surface in the presence of abnormal waves
A wide range of fundamental and applied problems requires a detailed description of the statistics of abnormal sea waves (freak waves or rouge waves). These waves are characterized not only by a change in ener-gy, but also by strong nonlinearity, leading to extreme values of the higher cumulants. Th...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2023-01-01
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| Series: | E3S Web of Conferences |
| Subjects: | |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/13/e3sconf_ersme2023_03021.pdf |
| _version_ | 1797850793385132032 |
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| author | Zapevalov A. Knyazkov A. |
| author_facet | Zapevalov A. Knyazkov A. |
| author_sort | Zapevalov A. |
| collection | DOAJ |
| description | A wide range of fundamental and applied problems requires a detailed description of the statistics of abnormal sea waves (freak waves or rouge waves). These waves are characterized not only by a change in ener-gy, but also by strong nonlinearity, leading to extreme values of the higher cumulants. The possibilities and limitations of modeling the probability density function (PDF) of sea surface elevations by a two-component Gaussian mixture at extreme values of skewness and excess kurtosis are analyzed. The parameters of a two-component Gaussian mixture are calcu-lated from known values of statistical moments. Model PDFs in the form of a two-component Gaussian mixture are compared with PDFs based on direct wave measurement data, and also compared with the known Gram-Charlier distribution. It is shown that with positive values of the excess kurtosis, the PDF in the form of a two-component Gaussian mixture can be constructed at the limit values of the skewness and excess kurtosis ob-tained in different regions of the World Ocean. With large negative values of the kurtosis, the shape of the probability density function is strongly dis-torted, which indicates the limit of applicability of a two-component Gaussian mixture to the description of such situations. |
| first_indexed | 2024-04-09T19:06:07Z |
| format | Article |
| id | doaj.art-b0a63f79ecb142648819f7f522932873 |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-04-09T19:06:07Z |
| publishDate | 2023-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-b0a63f79ecb142648819f7f5229328732023-04-07T08:58:19ZengEDP SciencesE3S Web of Conferences2267-12422023-01-013760302110.1051/e3sconf/202337603021e3sconf_ersme2023_03021Statistical modeling of the sea surface in the presence of abnormal wavesZapevalov A.0Knyazkov A.1Marine Hydrophysical InstituteMarine Hydrophysical InstituteA wide range of fundamental and applied problems requires a detailed description of the statistics of abnormal sea waves (freak waves or rouge waves). These waves are characterized not only by a change in ener-gy, but also by strong nonlinearity, leading to extreme values of the higher cumulants. The possibilities and limitations of modeling the probability density function (PDF) of sea surface elevations by a two-component Gaussian mixture at extreme values of skewness and excess kurtosis are analyzed. The parameters of a two-component Gaussian mixture are calcu-lated from known values of statistical moments. Model PDFs in the form of a two-component Gaussian mixture are compared with PDFs based on direct wave measurement data, and also compared with the known Gram-Charlier distribution. It is shown that with positive values of the excess kurtosis, the PDF in the form of a two-component Gaussian mixture can be constructed at the limit values of the skewness and excess kurtosis ob-tained in different regions of the World Ocean. With large negative values of the kurtosis, the shape of the probability density function is strongly dis-torted, which indicates the limit of applicability of a two-component Gaussian mixture to the description of such situations.https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/13/e3sconf_ersme2023_03021.pdftwo-component gaussian mixturesea surfaceelevation distribution |
| spellingShingle | Zapevalov A. Knyazkov A. Statistical modeling of the sea surface in the presence of abnormal waves E3S Web of Conferences two-component gaussian mixture sea surface elevation distribution |
| title | Statistical modeling of the sea surface in the presence of abnormal waves |
| title_full | Statistical modeling of the sea surface in the presence of abnormal waves |
| title_fullStr | Statistical modeling of the sea surface in the presence of abnormal waves |
| title_full_unstemmed | Statistical modeling of the sea surface in the presence of abnormal waves |
| title_short | Statistical modeling of the sea surface in the presence of abnormal waves |
| title_sort | statistical modeling of the sea surface in the presence of abnormal waves |
| topic | two-component gaussian mixture sea surface elevation distribution |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/13/e3sconf_ersme2023_03021.pdf |
| work_keys_str_mv | AT zapevalova statisticalmodelingoftheseasurfaceinthepresenceofabnormalwaves AT knyazkova statisticalmodelingoftheseasurfaceinthepresenceofabnormalwaves |