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A Splitting Method for a CABARET Scheme Approximating a Nonuniform Scalar Conservation Law Full article

Journal Numerical Analysis and Applications
ISSN: 1995-4239
Output data Year: 2018, Volume: 11, Number: 2, Pages: 146-157 Pages count : 12 DOI: 10.1134/S1995423918020052
Tags monotone CABARET scheme; nonuniform scalar conservation law; splitting method
Authors Zyuzina N.A. 1,2 , Ostapenko V.V. 1,2 , Polunina E.I. 2
Affiliations
1 Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Lavrent’eva 15, Novosibirsk, 630090 Russia
2 Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090 Russia

Funding (1)

1 Российский фонд фундаментальных исследований 16-01-00333

Abstract: In this paper, a splitting method for a CABARET scheme approximating a nonuniform scalar conservation law with a convex and monotonically increasing flux function is proposed. It is shown that at the first step of this method, when a uniform conservation law is approximated, the CABARET scheme is monotone and its numerical solutions do not have nonphysical oscillations in shock wavefronts. Test computations illustrating these properties of the modified CABARET scheme are presented.
Cite: Zyuzina N.A. , Ostapenko V.V. , Polunina E.I.
A Splitting Method for a CABARET Scheme Approximating a Nonuniform Scalar Conservation Law
Numerical Analysis and Applications. 2018. V.11. N2. P.146-157. DOI: 10.1134/S1995423918020052 WOS Scopus РИНЦ OpenAlex
Original: Зюзина Н.А. , Остапенко В.В. , Полунина Е.И.
Метод расщепления при аппроксимации схемой CABARET неоднородного скалярного закона сохранения
Сибирский журнал вычислительной математики. 2018. Т.21. №2. С.185-200. DOI: 10.15372/sjnm20180205 РИНЦ OpenAlex
Identifiers:
Web of science: WOS:000434641800005
Scopus: 2-s2.0-85048140822
Elibrary: 35735014
OpenAlex: W2805072148
Citing:
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Scopus 2
OpenAlex 2
Elibrary 1
Web of science 2
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