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Num. Meth. Prog., 2015, Volume 16, Issue 2, Pages 256–267 (Mi vmp537)  

This article is cited in 6 scientific papers (total in 6 papers)

A parallel implementation of sediment transport and bottom surface reconstruction problems on the basis of higher-order difference schemes

A. I. Sukhinova, A. E. Chistyakovb, A. A. Semenyakinab, A. Nikitinab

a Taganrog State Pedagogical Institute
b Institute of Computer Technology and Information Security, Engineering and Technological Academy, Southern Federal University

Abstract: Discrete analogs of convective and diffusive transport operators of the fourth order of accuracy are studied in the case of partially filled cells. The numerical results obtained when solving the sediment transport problem on the basis of difference schemes of the second and fourth orders of accuracy are compared. These results show that the accuracy of the solutions to the diffusion problem and the convection-diffusion problem increases by a factor of 66.7 and 48.7, respectively. A library of two-layer iterative methods is built to solve the two-dimensional convection-diffusion problem on the basis of higher-order schemes for nine-diagonal difference equations on a multiprocessor computer system. An algorithm is proposed to reconstruct the submarine bottom topography on the basis of hydrographic information (the water depth at a number of points or contour levels) and its numerical implementation is performed. The proposed method is used to draw a map of the bottom relief of the Azov sea.

Keywords: sediment transport, bottom relief, parallel algorithms, higher-order difference schemes, diffusion-convection problem, distributed computing.

Full text: PDF file (1517 kB)
UDC: 519.6
Received: 27.03.2015

Citation: A. I. Sukhinov, A. E. Chistyakov, A. A. Semenyakina, A. Nikitina, “A parallel implementation of sediment transport and bottom surface reconstruction problems on the basis of higher-order difference schemes”, Num. Meth. Prog., 16:2 (2015), 256–267

Citation in format AMSBIB
\by A.~I.~Sukhinov, A.~E.~Chistyakov, A.~A.~Semenyakina, A.~Nikitina
\paper A parallel implementation of sediment transport and bottom surface reconstruction problems on the basis of higher-order difference schemes
\jour Num. Meth. Prog.
\yr 2015
\vol 16
\issue 2
\pages 256--267

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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. V. Nikitina, A. E. Chistyakov, I. S. Semenov, A. A. Semenyakina, D. S. Khachunts, “Matematicheskoe modelirovanie protsessov evtrofikatsii v melkovodnykh vodoemakh na mnogoprotsessornoi vychislitelnoi sisteme”, Vestn. YuUrGU. Ser. Vych. matem. inform., 5:3 (2016), 36–53  mathnet  crossref  elib
    3. 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
    4. A. I. Sukhinov, A. E. Chistyakov, “Error solving the wave equation based on the scheme with weights”, Math. Models Comput. Simul., 9:6 (2017), 649–656  mathnet  crossref  elib
    5. 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
    6. A. I. Sukhinov, A. V. Nikitina, A. E. Chistyakov, A. A. Semenyakina, “Practical aspects of implementation of the parallel algorithm for solving problem of ctenophore population interaction in the Azov Sea”, Vestn. YuUrGU. Ser. Vych. matem. inform., 7:3 (2018), 31–54  mathnet  crossref  elib
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