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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 4, Pages 665–684
DOI: https://doi.org/10.7868/S0044466916040050 (Mi zvmmf10381) 		 
This article is cited in 21 scientific papers (total in 21 papers)

Regularized shallow water equations for numerical simulation of flows with a moving shoreline

O. V. Bulatova, T. G. Elizarovab

a Lomonosov Moscow State University, Faculty of Physics
b Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow
Full-text PDF (1671 kB) Citations (21)
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DOI: https://doi.org/10.7868/S0044466916040050
Abstract: A numerical algorithm for simulating free-surface flows based on regularized shallow water equations is adapted to flows involving moving dry-bed areas. Well-balanced versions of the algorithm are constructed. Test computations of flows with dry-bed areas in the cases of water runup onto a plane beach and a constant-slope beach are presented. An example of tsunami simulation is given.
Key words: shallow water equations, regularization, finite volume method, well-balanced condition, flow with dry-bed areas, tsunami wave.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00703_а
This work was supported by the Russian Foundation for Basic Research, project no. 13-01-00703-a.
Received: 06.06.2015
Revised: 10.08.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 4, Pages 661–679
DOI: https://doi.org/10.1134/S0965542516040047
Bibliographic databases:
Document Type: Article
UDC: 519.934
Language: Russian
Citation: O. V. Bulatov, T. G. Elizarova, “Regularized shallow water equations for numerical simulation of flows with a moving shoreline”, Zh. Vychisl. Mat. Mat. Fiz., 56:4 (2016), 665–684; Comput. Math. Math. Phys., 56:4 (2016), 661–679
Citation in format AMSBIB
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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