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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 3, Pages 447–460 (Mi zvmmf9669)  
This article is cited in 24 scientific papers (total in 24 papers)

On the strong monotonicity of the CABARET scheme

V. V. Ostapenko

Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent’eva 15, Novosibirsk, 630090 Russia
Full-text PDF (612 kB) Citations (24)
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Abstract: The strong monotonicity of the CABARET scheme with single flux correction is analyzed as applied to the linear advection equation. It is shown that the scheme is strongly monotone (has the NED property) at Courant numbers $r\in (0,0.5]$, for which it is monotone. Test computations illustrating this property of the CABARET scheme are presented.
Key words: CABARET finite difference scheme, strong monotonicity, flux corrected transport.
Received: 02.09.2011
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 3, Pages 387–399
DOI: https://doi.org/10.1134/S0965542512030141
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: V. V. Ostapenko, “On the strong monotonicity of the CABARET scheme”, Zh. Vychisl. Mat. Mat. Fiz., 52:3 (2012), 447–460; Comput. Math. Math. Phys., 52:3 (2012), 387–399
Citation in format AMSBIB
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    • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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