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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 7, Pages 1317–1324 (Mi zvmmf9609)  
This article is cited in 2 scientific papers (total in 2 papers)

Numerical model for the shallow water equations on a curvilinear grid with the preservation of the Bernoulli integral

V. A. Shlychkov

Institute for Water and Ecological Problems, SB RAS
Full-text PDF (496 kB) Citations (2)
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Abstract: Methodological aspects concerning the construction of a two-dimensional numerical model for reservoir flows based on the shallow water equations are considered. A numerical scheme is constructed by applying the control volume method on staggered grids in combination with the Bernoulli integral, which is used to interpolate the desired fields inside a grid cell. The implementation of the method yields a monotone numerical scheme. The results of numerical integration are compared with the exact solution.
Key words: numerical scheme, control volume method, curvilinear grids, Bernoulli integral, exact solutions, reservoir flows.
Received: 15.12.2010
Revised: 10.09.2011
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 7, Pages 1072–1078
DOI: https://doi.org/10.1134/S0965542512040148
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: V. A. Shlychkov, “Numerical model for the shallow water equations on a curvilinear grid with the preservation of the Bernoulli integral”, Zh. Vychisl. Mat. Mat. Fiz., 52:7 (2012), 1317–1324; Comput. Math. Math. Phys., 52:7 (2012), 1072–1078
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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