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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 7, Pages 1248–1267
DOI: https://doi.org/10.31857/S0044466920070066 (Mi zvmmf11108) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Numerical modeling of passive scalar transport in shallow water based on the quasi-gasdynamic approach

T. G. Elizarova, A. V. Ivanov

Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047 Russia
Citations (4)
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DOI: https://doi.org/10.31857/S0044466920070066
Abstract: A new method for the numerical solution of the passive scalar transport equation in the framework of hydrodynamic equations in the shallow water approximation is described. The method is based on previously developed quasi-gasdynamic algorithms for numerical simulation of compressible gas flows. Smoothed equations are derived, and their difference approximations, including for flows with a pollutant source, are presented. The numerical algorithms are tested as applied to one- and two-dimensional flows. As an example, the algorithm is used to solve the problem of water circulation in Lake Vallunden. The constructed approach is generalized to passive scalar transport in the case of viscous incompressible flows.
Key words: shallow water equations, pollutant transport, regularized equations, finite volume method, source term, Lake Vallunden.
Received: 13.08.2019
Revised: 13.01.2020
Accepted: 10.03.2020
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 7, Pages 1208–1227
DOI: https://doi.org/10.1134/S0965542520070064
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: T. G. Elizarova, A. V. Ivanov, “Numerical modeling of passive scalar transport in shallow water based on the quasi-gasdynamic approach”, Zh. Vychisl. Mat. Mat. Fiz., 60:7 (2020), 1248–1267; Comput. Math. Math. Phys., 60:7 (2020), 1208–1227
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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