On the Construction of Combined Finite-Difference Schemes of High Accuracy
- Авторы: Kovyrkina O.1, Ostapenko V.1,2
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Учреждения:
- Lavrent’ev Institute of Hydrodynamics, Siberian Branch
- Novosibirsk State University
- Выпуск: Том 97, № 1 (2018)
- Страницы: 77-81
- Раздел: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225462
- DOI: https://doi.org/10.1134/S1064562418010246
- ID: 225462
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Аннотация
A method is proposed for constructing combined shock-capturing finite-difference schemes that localize shock fronts with high accuracy and preserve the high order of convergence in all domains where the computed weak solution is smooth. A particular combined scheme is considered in which a nonmonotone compact scheme with a third-order weak approximation is used as a basis one, while the internal scheme is the second-order accurate (for smooth solutions) monotone CABARET. The advantages of the new scheme are demonstrated using test computations.
Об авторах
O. Kovyrkina
Lavrent’ev Institute of Hydrodynamics, Siberian Branch
Автор, ответственный за переписку.
Email: olyana@ngs.ru
Россия, Novosibirsk, 630090
V. Ostapenko
Lavrent’ev Institute of Hydrodynamics, Siberian Branch; Novosibirsk State University
Email: olyana@ngs.ru
Россия, Novosibirsk, 630090; Novosibirsk, 630090