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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2020, Volume 23, Number 4, Pages 431–440
DOI: https://doi.org/10.15372/SJNM20200406 (Mi sjvm758) 		 
On monotonicity of CABARET scheme approximating the multidimensional scalar conservation law

V. V. Ostapenko, T. V. Protopopova

Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
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DOI: https://doi.org/10.15372/SJNM20200406
Abstract: The monotonicity of the two-layer with respect to time CABARET scheme approximating the multidimensional scalar conservation law is analyzed. There is proposed a modification of this scheme. This modification of the CABARET scheme retains the monotonicity of the one-dimensional difference solutions in the linear approximation, and, as a result, it provides an increased smoothness during the calculation of the multidimensional discontinuous solutions. The results of test calculations are given. They illustrate the advantages of the modified scheme.
Key words: CABARET difference scheme, multidimensional scalar conservation law, monotonicity property.
Funding agency Grant number
Russian Science Foundation 16-11-10033-П
This work was supported by the Russian Science Foundation (project no.В 16-11-10033-P).
Received: 10.06.2019
Revised: 02.02.2020
Accepted: 16.07.2020
English version:
Numerical Analysis and Applications, 2020, Volume 13, Issue 4, Pages 360–367
DOI: https://doi.org/10.1134/S1995423920040060
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: V. V. Ostapenko, T. V. Protopopova, “On monotonicity of CABARET scheme approximating the multidimensional scalar conservation law”, Sib. Zh. Vychisl. Mat., 23:4 (2020), 431–440; Num. Anal. Appl., 13:4 (2020), 360–367
Citation in format AMSBIB
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