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

N. A. Zyuzina; V. V. Ostapenko; E. I. Polunina

doi:10.1134/S1995423918020052

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

N. A. Zyuzina, V. V. Ostapenko, E. I. Polunina

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

1 Цитирования (Scopus)

Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	146-157
Число страниц	12
Журнал	Numerical Analysis and Applications
Том	11
Номер выпуска	2
DOI	https://doi.org/10.1134/S1995423918020052
Состояние	Опубликовано - 1 апр 2018

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10.1134/S1995423918020052

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A Splitting Method for a CABARET Scheme Approximating a Nonuniform Scalar Conservation Law. / Zyuzina, N. A.; Ostapenko, V. V.; Polunina, E. I.

В: Numerical Analysis and Applications, Том 11, № 2, 01.04.2018, стр. 146-157.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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