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Zh. Vychisl. Mat. Mat. Fiz., 2010, Volume 50, Number 2, Pages 375–387 (Mi zvmmf4836)  

This article is cited in 1 scientific paper (total in 1 paper)

Modeling the transport of suspended substances on the continental shelf: horizontal dispersion

V. N. Koterov, Yu. S. Yurezanskaya

Dorodnitsyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia

Abstract: Suspended substance dispersion in a water body is simulated in the case when the spread area is considerably larger than the depth of the water body. A model of horizontal dispersion of pollutants is formulated and analyzed. Numerical approaches to the computation of suspended substance dispersion in a water body are discussed. A meshless stochastic numerical algorithm is proposed that combines the advantages of two well-known techniques, namely, the discrete cloud method and the stochastic discrete particle method. The performance the method and its features are demonstrated by comparing numerical results with the exact solution to the model problem of turbulent dispersion of a pollution plume produced by a continuous source of suspension.

Key words: numerical methods, advection-diffusion equation, shelf, suspended substances, turbulent mixing, Richardson $4/3$ law, longitudinal dispersion, shear effect, stochastic methods.

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English version:
Computational Mathematics and Mathematical Physics, 2010, 50:2, 357–368

Bibliographic databases:

UDC: 519.634
Received: 13.07.2009

Citation: V. N. Koterov, Yu. S. Yurezanskaya, “Modeling the transport of suspended substances on the continental shelf: horizontal dispersion”, Zh. Vychisl. Mat. Mat. Fiz., 50:2 (2010), 375–387; Comput. Math. Math. Phys., 50:2 (2010), 357–368

Citation in format AMSBIB
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\paper Modeling the transport of suspended substances on the continental shelf: horizontal dispersion
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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. B. V. Arkhipov, V. N. Koterov, V. V. Solbakov, Yu. S. Yurezanskaya, “Simulation of suspended substance transport on the continental shelf: Computation of soil dumping in the Sea of Azov”, Comput. Math. Math. Phys., 50:4 (2010), 711–720  mathnet  crossref  adsnasa  isi
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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