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Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2018, Volume 21, Number 2, Pages 185–200
DOI: https://doi.org/10.15372/SJNM20180205 (Mi sjvm677) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Splitting method for CABARET scheme approximating the non-uniform scalar conservation law

N. A. Zyuzinaab, V. V. Ostapenkoab, E. I. Poluninab

a Lavrentiev Institute of Hydrodynamics SB RAS, 15 Lavrentiev av., Novosibirsk, 630090, Russia
b Novosibirsk State University, 2 Pirogova str., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.15372/SJNM20180205
Abstract: The splitting method for the CABARET scheme approximating the non-uniform scalar conservation law with convex and monotonically increasing flux function has been proposed. It was shown that at the first step of this method, when the uniform conservation law is approximated, the CABARET scheme is monotonic and its numerical solutions do not have non-physical oscillations in the shock wavefronts. Test computations that illustrate these properties of the CABARET scheme are presented.
Key words: splitting method, monotone CABARET scheme, non-uniform scalar conservation law.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00333
Received: 05.05.2017
Revised: 06.09.2017
English version:
Numerical Analysis and Applications, 2018, Volume 11, Issue 2, Pages 146–157
DOI: https://doi.org/10.1134/S1995423918020052
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: N. A. Zyuzina, V. V. Ostapenko, E. I. Polunina, “Splitting method for CABARET scheme approximating the non-uniform scalar conservation law”, Sib. Zh. Vychisl. Mat., 21:2 (2018), 185–200; Num. Anal. Appl., 11:2 (2018), 146–157
Citation in format AMSBIB
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