Email this article On the Construction of Combined Finite-Difference Schemes of High Accuracy
- Authors: Kovyrkina O.A.1, Ostapenko V.V.1,2
-
Affiliations:
- Lavrent’ev Institute of Hydrodynamics, Siberian Branch
- Novosibirsk State University
- Issue: Vol 97, No 1 (2018)
- Pages: 77-81
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225462
- DOI: https://doi.org/10.1134/S1064562418010246
- ID: 225462
Cite item
Open Access
Access granted
Subscription Access
Abstract
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.
About the authors
O. A. Kovyrkina
Lavrent’ev Institute of Hydrodynamics, Siberian Branch
Author for correspondence.
Email: olyana@ngs.ru
Russian Federation, Novosibirsk, 630090
V. V. Ostapenko
Lavrent’ev Institute of Hydrodynamics, Siberian Branch; Novosibirsk State University
Email: olyana@ngs.ru
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090
