电邮这篇文章 Monotonicity of the CABARET Scheme Approximating a Hyperbolic System of Conservation Laws
- 作者: Kovyrkina O.A.1, Ostapenko V.V.1,2
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隶属关系:
- Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences
- Novosibirsk State University
- 期: 卷 58, 编号 9 (2018)
- 页面: 1435-1450
- 栏目: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/179834
- DOI: https://doi.org/10.1134/S0965542518090129
- ID: 179834
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详细
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.
作者简介
O. Kovyrkina
Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences
编辑信件的主要联系方式.
Email: olyana@ngs.ru
俄罗斯联邦, Novosibirsk, 630090
V. Ostapenko
Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences; Novosibirsk State University
编辑信件的主要联系方式.
Email: ostapenko_vv@ngs.ru
俄罗斯联邦, Novosibirsk, 630090; Novosibirsk, 630090
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