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Matematicheskoe modelirovanie, 2012, Volume 24, Number 8, Pages 32–44 (Mi mm3299)  
This article is cited in 46 scientific papers (total in 46 papers)

Mathematical model for calculating coastal wave processes

A. I. Sukhinova, A. E. Chistyakova, E. F. Timofeevab, A. V. Shishenyaa

a Taganrog Institute of Technology of the Southern Federal University
b North Caucasus State Technical University
Full-text PDF (645 kB) Citations (46)
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Abstract: A mathematical model for the wave hydrodynamics problem, describing wash ashore and taking into account such physical parameters as turbulence exchange, complexity of domain and coastal line geometry, and bottom friction is developed. For the given mathematical model a discrete model is constructed, taking into account dynamical changing of the calculation domain. Proposed technique for mathematical models sampling takes into account fullness of the control cells. This technique allows improving the real accuracy of a solution in case of complex domain geometry, by improving approximation of the boundary. A software implementation and numerical experiments of the posed problem of the wave hydrodynamics are performed.
Keywords: hydrodynamics, numerical experiment, wave process, balance method, numerical experiment.
Received: 26.09.2011
English version:
Mathematical Models and Computer Simulations, 2013, Volume 5, Issue 2, Pages 122–129
DOI: https://doi.org/10.1134/S2070048213020087
Bibliographic databases:
Document Type: Article
UDC: 519.6:532.5
Language: Russian
Citation: A. I. Sukhinov, A. E. Chistyakov, E. F. Timofeeva, A. V. Shishenya, “Mathematical model for calculating coastal wave processes”, Mat. Model., 24:8 (2012), 32–44; Math. Models Comput. Simul., 5:2 (2013), 122–129
Citation in format AMSBIB
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\by A.~I.~Sukhinov, A.~E.~Chistyakov, E.~F.~Timofeeva, A.~V.~Shishenya
\paper Mathematical model for calculating coastal wave processes
\jour Mat. Model.
\yr 2012
\vol 24
\issue 8
\pages 32--44
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\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3053267}
\zmath{https://zbmath.org/?q=an:1289.76010}
\elib{https://elibrary.ru/item.asp?id=21276780}
\transl
\jour Math. Models Comput. Simul.
\yr 2013
\vol 5
\issue 2
\pages 122--129
\crossref{https://doi.org/10.1134/S2070048213020087}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928988509}
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    • This publication is cited in the following 46 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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