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

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

Журнал

Numerical Analysis and Applications
ISSN: 1995-4239

Вых. Данные

Год: 2018, Том: 11, Номер: 2, Страницы: 146-157 Страниц : 12 DOI: 10.1134/S1995423918020052

Ключевые слова

monotone CABARET scheme; nonuniform scalar conservation law; splitting method

Авторы

Zyuzina N.A. ^1,2 , Ostapenko V.V. ^1,2 , Polunina E.I. ²

Организации

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

Информация о финансировании (1)

Российский фонд фундаментальных исследований

16-01-00333

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.

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

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

Web of science:	WOS:000434641800005
Scopus:	2-s2.0-85048140822
РИНЦ:	35735014
OpenAlex:	W2805072148

БД	Цитирований
Scopus	2
OpenAlex	2
РИНЦ	1
Web of science	2