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Matematicheskoe modelirovanie, 2012, Volume 24, Number 4, Pages 107–116 (Mi mm3262)  
This article is cited in 10 scientific papers (total in 10 papers)

Numerical simulation of the solitary wave generation in a wind-water circular tunnel

T. G. Elizarovaa, M. A. Istominab, N. K. Shelkovnikovc

a M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences, Moscow
b M. V. Lomonosov Moscow State University, Faculty of Physics
c M. V. Lomonosov Moscow State University, Faculty of Physics
Full-text PDF (202 kB) Citations (10)
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Abstract: The short description of the wind-water solitary wave generation in a laboratory wind-water circular tunnel is presented. Mathematical model of this phenomenon in the framework of shallow-water equation system is constructed. Numerical algorithm for solving the system is based on the regularized equations. For the first time a numerical solution of the wind-water solitary wave is obtained based on shallow water equations. Numerical soliton is qualitatively similar to the wind-water soliton, examined in the experiment.
Keywords: wind-water solitary wave, shallow water equations, quasi-gas dynamic equations, regularized shallow water equations.
Received: 11.08.2011
English version:
Mathematical Models and Computer Simulations, 2012, Volume 4, Issue 6, Pages 552–559
DOI: https://doi.org/10.1134/S2070048212060051
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: T. G. Elizarova, M. A. Istomina, N. K. Shelkovnikov, “Numerical simulation of the solitary wave generation in a wind-water circular tunnel”, Mat. Model., 24:4 (2012), 107–116; Math. Models Comput. Simul., 4:6 (2012), 552–559
Citation in format AMSBIB
\Bibitem{EliIstShe12}
\by T.~G.~Elizarova, M.~A.~Istomina, N.~K.~Shelkovnikov
\paper Numerical simulation of the solitary wave generation in a wind-water circular tunnel
\jour Mat. Model.
\yr 2012
\vol 24
\issue 4
\pages 107--116
\mathnet{http://mi.mathnet.ru/mm3262}
\elib{https://elibrary.ru/item.asp?id=21276750}
\transl
\jour Math. Models Comput. Simul.
\yr 2012
\vol 4
\issue 6
\pages 552--559
\crossref{https://doi.org/10.1134/S2070048212060051}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84894618625}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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