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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 9, Pages 1488–1504
DOI: https://doi.org/10.31857/S004446690002528-1 (Mi zvmmf10784) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Monotonicity of the CABARET scheme approximating a hyperbolic system of conservation laws

O. A. Kovyrkinaa, V. V. Ostapenkoab

a Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Citations (6)
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DOI: https://doi.org/10.31857/S004446690002528-1
Abstract: The monotonicity of the CABARET scheme for approximating a quasilinear hyperbolic system of conservation laws is investigated. The conditions are obtained under which this scheme is monotonicity-preserving with respect to the invariants of the linear approximation of the approximated system. The system of shallow water equations is considered as an example. The capabilities of the scheme in the computation of discontinuous solutions with shock waves are illustrated by test calculations of Riemann problems.
Key words: hyperbolic system of conservation laws, monotonicity of CABARET scheme, shallow water theory, discontinuous waves.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00333_а
Received: 30.08.2017
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 9, Pages 1435–1450
DOI: https://doi.org/10.1134/S0965542518090129
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: O. A. Kovyrkina, V. V. Ostapenko, “Monotonicity of the CABARET scheme approximating a hyperbolic system of conservation laws”, Zh. Vychisl. Mat. Mat. Fiz., 58:9 (2018), 1488–1504; Comput. Math. Math. Phys., 58:9 (2018), 1435–1450
Citation in format AMSBIB
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    • This publication is cited in the following 6 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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