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Num. Meth. Prog., 2014, Volume 15, Issue 4, Pages 610–620 (Mi vmp277)  

This article is cited in 4 scientific papers (total in 4 papers)

Sediment transport mathematical modeling in a coastal zone using multiprocessor computing systems

A. I. Sukhinova, A. E. Chistyakova, E. Protsenkob

a Southern Federal University, Rostov-on-Don
b Taganrog State Pedagogical Institute

Abstract: A nonstationary two-dimensional model of sediment transport in a coastal zone of reservoirs is considered. The following physical parameters and processes are taken into account: the soil porosity; the critical value of the tangent tension for which the sediment movement begins; the turbulent exchange; the dynamically variable geometry of the bottom and the level elevation function; wind currents; and the friction on the bottom. Two-dimensional and three-dimensional models of hydrodynamics in a coastal zone of reservoirs as well as a transport model for weighted particles are constructed and are implemented on a distributed computing cluster. A number of numerical results are discussed.

Keywords: mathematical model, sediment transport, distributed computing, parallel programming, dynamics of marine sediments, shallow water equations, diffusion-convection-reaction equation, Navier-Stokes equations.

Full text: PDF file (956 kB)
UDC: 519.6
Received: 04.04.2014

Citation: A. I. Sukhinov, A. E. Chistyakov, E. Protsenko, “Sediment transport mathematical modeling in a coastal zone using multiprocessor computing systems”, Num. Meth. Prog., 15:4 (2014), 610–620

Citation in format AMSBIB
\Bibitem{SukChiPro14}
\by A.~I.~Sukhinov, A.~E.~Chistyakov, E.~Protsenko
\paper Sediment transport mathematical modeling in a coastal zone using multiprocessor computing systems
\jour Num. Meth. Prog.
\yr 2014
\vol 15
\issue 4
\pages 610--620
\mathnet{http://mi.mathnet.ru/vmp277}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. I. Sukhinov, A. E. Chistyakov, M. V. Yakobovskii, “Tochnost chislennogo resheniya uravneniya diffuzii-konvektsii na osnove raznostnykh skhem vtorogo i chetvertogo poryadkov pogreshnosti approksimatsii”, Vestn. YuUrGU. Ser. Vych. matem. inform., 5:1 (2016), 47–62  mathnet  crossref  elib
    2. A. I. Sukhinov, A. E. Chistyakov, A. A. Semenyakina, A. V. Nikitina, “Chislennoe modelirovanie ekologicheskogo sostoyaniya Azovskogo morya s primeneniem skhem povyshennogo poryadka tochnosti na mnogoprotsessornoi vychislitelnoi sisteme”, Kompyuternye issledovaniya i modelirovanie, 8:1 (2016), 151–168  mathnet  crossref
    3. V. V. Sidoryakina, A. I. Sukhinov, “Well-posedness analysis and numerical implementation of a linearized two-dimensional bottom sediment transport problem”, Comput. Math. Math. Phys., 57:6 (2017), 978–994  mathnet  crossref  crossref  mathscinet  isi  elib
    4. S. V. Protsenko, A. M. Atayan, A. E. Chistyakov, A. V. Nikitina, V. N. Litvinov, A. A. Filina, “Eksperimentalnoe issledovanie silovykh nagruzok na opory nadvodnoi konstruktsii na osnove matematicheskoi modeli volnovykh protsessov”, Vestn. YuUrGU. Ser. Vych. matem. inform., 8:3 (2019), 27–42  mathnet  crossref  elib
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