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Matematicheskoe modelirovanie, 2016, Volume 28, Number 9, Pages 31–42 (Mi mm3765)  

This article is cited in 1 scientific paper (total in 1 paper)

Statistical characteristics of the anomalously large surface waves based on computational experiments

R. V. Shamin, A. V. Yudin

Peoples’ Friendship University of Russia
Full-text PDF (409 kB) Citations (1)
References:
Abstract: In our computational experiments we simulate the two dimensional potential flow of ideal liquid with a free surface. We used results of these experiments for investigating statistics of occurrence of abnormally large surface waves in depending on initial parameters. The suddenness of the occurrence of abnormally large waves in the ocean defines serious danger that they pose to ships and marine buildings. Now we have incontrovertible evidence of this phenomenon such as the instrumental recordings and photographs. The main method of studying the phenomenon of rogue waves in our work is computational experiment that is based on the full nonlinear equations of hydrodynamics of ideal liquid with free surface. We apply the method of conformal variables to the original system of equations. This method allows doing efficient and accurate calculations using computers. According to the results of experiments investigated the statistics of occurrence of abnormally large surface waves. Using dissipation and pumping in these computational experiments will spend long calculations, which did not cease in case of rogue waves. Estimates were made of the intensity of the occurrence of the rogue waves, depending on the values of the squares of the average steepness and wave dispersion. It is shown that in doubling the calculated field intensity is nearly doubled. The proposed methods of computational experiments allows estimating the average waiting time of rogue waves in a given area.
Keywords: surface wave, rogue waves, abnormally large waves in the ocean, computer experiment.
Funding agency Grant number
Russian Foundation for Basic Research 15-35-20550_мол_а_вед
Ministry of Education and Science of the Russian Federation 11.G34.31.0035
Received: 01.09.2015
English version:
Mathematical Models and Computer Simulations, 2017, Volume 9, Issue 2, Pages 176–184
DOI: https://doi.org/10.1134/S2070048217020107
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: R. V. Shamin, A. V. Yudin, “Statistical characteristics of the anomalously large surface waves based on computational experiments”, Matem. Mod., 28:9 (2016), 31–42; Math. Models Comput. Simul., 9:2 (2017), 176–184
Citation in format AMSBIB
\Bibitem{ShaYud16}
\by R.~V.~Shamin, A.~V.~Yudin
\paper Statistical characteristics of the anomalously large surface waves based on computational experiments
\jour Matem. Mod.
\yr 2016
\vol 28
\issue 9
\pages 31--42
\mathnet{http://mi.mathnet.ru/mm3765}
\elib{https://elibrary.ru/item.asp?id=26604133}
\transl
\jour Math. Models Comput. Simul.
\yr 2017
\vol 9
\issue 2
\pages 176--184
\crossref{https://doi.org/10.1134/S2070048217020107}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85016132956}
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  • https://www.mathnet.ru/eng/mm3765
  • https://www.mathnet.ru/eng/mm/v28/i9/p31
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    Abstract page:376
    Full-text PDF :111
    References:47
    First page:13
     
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