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Matem. Mod., 2013, Volume 25, Number 12, Pages 65–82 (Mi mm3430)  

This article is cited in 11 scientific papers (total in 11 papers)

Mathematical modeling of sediment transport in the coastal zone of shallow reservoirs

A. I. Sukhinov, A. E. Chistyakov, E. A. Protsenko

Taganrog Institute of Technology of the Southern Federal University

Abstract: Coupled non-stationary two-dimensional models of deposits transportation and hydrodynamics processes have been presented in a coastal zone of shallow water basins. The deposit transportation model is taking into account the following physical parameters and processes: porosity of bottom deposits, critical value of tangential tension, for deposit moving, turbulent exchange, dynamically changing bottom shape and variable function elevation, wind currents and bottom friction. Discretization and numerical algorithms have been presented for constructed models. The complex of programs was constructed and results of numerical experiments were given on the basis of the developed algorithms.

Keywords: coupled hydrodynamics and 2D-model of transport of deposits in a coastal zone, discrete models, numerical realization and experiments.

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English version:
Mathematical Models and Computer Simulations, 2014, 6:4, 351–363

Bibliographic databases:

UDC: 519.6:532.5
Received: 24.09.2012

Citation: A. I. Sukhinov, A. E. Chistyakov, E. A. Protsenko, “Mathematical modeling of sediment transport in the coastal zone of shallow reservoirs”, Matem. Mod., 25:12 (2013), 65–82; Math. Models Comput. Simul., 6:4 (2014), 351–363

Citation in format AMSBIB
\by A.~I.~Sukhinov, A.~E.~Chistyakov, E.~A.~Protsenko
\paper Mathematical modeling of sediment transport in the coastal zone of shallow reservoirs
\jour Matem. Mod.
\yr 2013
\vol 25
\issue 12
\pages 65--82
\jour Math. Models Comput. Simul.
\yr 2014
\vol 6
\issue 4
\pages 351--363

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    This publication is cited in the following articles:
    1. A. V. Nikitina, M. V. Puchkin, I. S. Semenov, A. I. Sukhinov, G. A. Ugolnitskii, A. B. Usov, A. E. Chistyakov, “Differentsialno-igrovaya model predotvrascheniya zamorov v melkovodnykh vodoemakh”, UBS, 55 (2015), 343–361  mathnet  elib
    2. A. I. Sukhinov, D. S. Khachunts, A. E. Chistyakov, “A mathematical model of pollutant propagation in near-ground atmospheric layer of a coastal region and its software implementation”, Comput. Math. Math. Phys., 55:7 (2015), 1216–1231  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    3. 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
    4. Sukhinov A.I. Chistyakov A.E. Levin I.I. Semenov I.S. Nikitina A.V. Semenyakina A.A., “Solution of the Problem of Biological Rehabilitation of Shallow Waters on Multiprocessor Computer System”, 2016 5th International Conference on Informatics, Electronics and Vision (ICIEV), IEEE, 2016, 1128–1133  crossref  isi  scopus
    5. Sukhinov A. Chistyakov A. Nikitina A. Semenyakina A. Korovin I. Schaefer G., “Modelling of Oil Spill Spread”, 2016 5th International Conference on Informatics, Electronics and Vision (ICIEV), IEEE, 2016, 1134–1139  crossref  isi  scopus
    6. Sukhinov A. Chistyakov A. Semenyakina A. Protsenko E. Korovin I. Schaefer G., “Parallel Implementation of Three-Dimensional Model of Two-Phase Fluid Filtration Based on Improved Alternating Triangular Method”, 2016 5th International Conference on Informatics, Electronics and Vision (ICIEV), IEEE, 2016, 1143–1148  crossref  isi  scopus
    7. 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
    8. 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
    9. A. I. Sukhinov, V. V. Sidoryakina, “O skhodimosti resheniya linearizovannoi posledovatelnosti zadach k resheniyu nelineinoi zadachi transporta nanosov”, Matem. modelirovanie, 29:11 (2017), 19–39  mathnet  elib
    10. A. Sukhinov, A. Chistyakov, V. Sidoryakina, “Investigation of nonlinear 2d bottom transportation dynamics in coastal zone on optimal curvilinear boundary adaptive grids”, XIII International Scientific-Technical Conference Dynamic of Technical Systems (DTS-2017), Matec Web of Conferences, 132, eds. T. Najafabadi, I. Sevostianov, K. Yeghiazaryan, A. Dong, V. Mladenovic, EDP Sciences, 2017, UNSP 04003  crossref  isi  scopus
    11. A. V. Kleschenkov, V. V. Sorokina, A. L. Chikin, L. G. Chikina, “Modelirovanie protsessa postupleniya stoka rechnykh nanosov Dona v Taganrogskii zaliv Azovskogo morya”, Matem. modelirovanie, 32:3 (2020), 47–60  mathnet  crossref
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