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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 5, Pages 741–761
DOI: https://doi.org/10.7868/S004446691805006X (Mi zvmmf10734) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Regularized equations for numerical simulation of flows in the two-layer shallow water approximation

T. G. Elizarovaa, A. V. Ivanovb

a Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia
b Faculty of Physics, Moscow State University, Moscow, Russia
Citations (9)
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DOI: https://doi.org/10.7868/S004446691805006X
Abstract: Regularized equations describing hydrodynamic flows in the two-layer shallow water approximation are constructed. A conditionally stable finite-difference scheme based on the finitevolume method is proposed for the numerical solution of these equations. The scheme is tested using several well-known one-dimensional benchmark problems, including Riemann problems.
Key words: two-layer shallow water equations, quasi-gasdynamic approach, regularized equations, finite-volume method, central-difference scheme, one-dimensional flows, transcritical flows.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00048_а
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 5, Pages 714–734
DOI: https://doi.org/10.1134/S0965542518050081
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: T. G. Elizarova, A. V. Ivanov, “Regularized equations for numerical simulation of flows in the two-layer shallow water approximation”, Zh. Vychisl. Mat. Mat. Fiz., 58:5 (2018), 741–761; Comput. Math. Math. Phys., 58:5 (2018), 714–734
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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