Monotone Finite-Difference Scheme Preserving High Accuracy in Regions of Shock Influence

Monotone Finite-Difference Scheme Preserving High Accuracy in Regions of Shock Influence Научная публикация

Журнал

Doklady Mathematics
ISSN: 1064-5624

Вых. Данные

Год: 2018, Том: 98, Номер: 2, Страницы: 506-510 Страниц : 5 DOI: 10.1134/S1064562418060315

Авторы

Zyuzina N.A. ^1,2 , Kovyrkina O.A. ¹ , Ostapenko V.V. ¹

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 научный фонд

16-11-10033

An explicit combined shock-capturing finite-difference scheme is constructed that localizes shock fronts with high accuracy and simultaneously preserves the high order of convergence in all domains where the computed weak solutions are smooth. In this scheme, Rusanov's explicit nonmonotone scheme of the third order is used as a basis one, while the internal scheme is based on the second-order monotone CABARET. The advantages of the new scheme as compared with the WENO scheme of the fifth order in space and third order in time are demonstrated in test computations. © 2018, Pleiades Publishing, Ltd.

Zyuzina N.A. , Kovyrkina O.A. , Ostapenko V.V.
Monotone Finite-Difference Scheme Preserving High Accuracy in Regions of Shock Influence
Doklady Mathematics. 2018. V.98. N2. P.506-510. DOI: 10.1134/S1064562418060315 WOS Scopus РИНЦ OpenAlex

Зюзина Н.А. , Ковыркина О.А. , Остапенко В.В.
Монотонная разностная схема, сохраняющая повышенную точность в областях влияния ударных волн
Доклады Академии наук. 2018. Т.482. №6. С.639-643. DOI: 10.31857/s086956520002921-6 РИНЦ OpenAlex

Web of science:	WOS:000449956100024
Scopus:	2-s2.0-85056273771
РИНЦ:	38202843
OpenAlex:	W2899683254

БД	Цитирований
Scopus	20
OpenAlex	26
РИНЦ	21
Web of science	16