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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 1, Pages 170–184 (Mi zvmmf8054)  
This article is cited in 44 scientific papers (total in 44 papers)

Regularized shallow water equations and an efficient method for numerical simulation of shallow water flows

O. V. Bulatova, T. G. Elizarovab

a Moscow State University, Moscow, 119992 Russia
b Institute for Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047 Russia
Full-text PDF (399 kB) Citations (44)
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Abstract: Regularized shallow water equations are derived as based on a regularization of the Navier–Stokes equations in the form of quasi-gasdynamic and quasi-hydrodynamic equations. Efficient finite-difference algorithms based on the regularized shallow water equations are proposed for the numerical simulation of shallow water flows. The capabilities of the model are examined by computing a test Riemann problem, the flow over an obstacle, and asymmetric dam break.
Key words: quasi-gasdynamic and quasi-hydrodynamic equations, regularized shallow water equations, finite volume method.
Received: 25.07.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 1, Pages 160–173
DOI: https://doi.org/10.1134/S0965542511010052
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: O. V. Bulatov, T. G. Elizarova, “Regularized shallow water equations and an efficient method for numerical simulation of shallow water flows”, Zh. Vychisl. Mat. Mat. Fiz., 51:1 (2011), 170–184; Comput. Math. Math. Phys., 51:1 (2011), 160–173
Citation in format AMSBIB
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    • This publication is cited in the following 44 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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