Monotonicity of the CABARET Scheme Approximating a Hyperbolic System of Conservation Laws

Monotonicity of the CABARET Scheme Approximating a Hyperbolic System of Conservation Laws Научная публикация

Журнал

Computational Mathematics and Mathematical Physics
ISSN: 0965-5425

Вых. Данные

Год: 2018, Том: 58, Номер: 9, Страницы: 1435-1450 Страниц : 16 DOI: 10.1134/S0965542518090129

Ключевые слова

discontinuous waves; hyperbolic system of conservation laws; monotonicity of CABARET scheme; shallow water theory

Авторы

Kovyrkina O.A. ¹ , Ostapenko V.V ^1,2

Организации

1	Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
2	Novosibirsk State University, Novosibirsk, 630090 Russia

Информация о финансировании (1)

Российский фонд фундаментальных исследований

16-01-00333

The monotonicity of the CABARET scheme for approximating a quasilinear hyperbolic system of conservation laws is investigated. The conditions are obtained under which this scheme is monotonicity-preserving with respect to the invariants of the linear approximation of the approximated system. The system of shallow water equations is considered as an example. The capabilities of the scheme in the computation of discontinuous solutions with shock waves are illustrated by test calculations of Riemann problems.

Kovyrkina O.A. , Ostapenko V.V.
Monotonicity of the CABARET Scheme Approximating a Hyperbolic System of Conservation Laws
Computational Mathematics and Mathematical Physics. 2018. V.58. N9. P.1435-1450. DOI: 10.1134/S0965542518090129 WOS Scopus РИНЦ OpenAlex

Ковыркина О.А. , Остапенко В.В.
О монотонности схемы КАБАРЕ, аппроксимирующей гиперболическую систему законов сохранения
Журнал вычислительной математики и математической физики. 2018. Т.58. №9. С.1488-1504. DOI: 10.31857/s004446690002528-1 РИНЦ OpenAlex

Web of science:	WOS:000447653000006
Scopus:	2-s2.0-85055103418
РИНЦ:	37213566
OpenAlex:	W2897074686

БД	Цитирований
Scopus	8
OpenAlex	8
РИНЦ	6
Web of science	5