Email this article Monotonicity of the CABARET Scheme Approximating a Hyperbolic System of Conservation Laws
- Authors: Kovyrkina O.A.1, Ostapenko V.V.1,2
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Affiliations:
- Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences
- Novosibirsk State University
- Issue: Vol 58, No 9 (2018)
- Pages: 1435-1450
- Section: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/179834
- DOI: https://doi.org/10.1134/S0965542518090129
- ID: 179834
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Abstract
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.
About the authors
O. A. Kovyrkina
Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences
Author for correspondence.
Email: olyana@ngs.ru
Russian Federation, Novosibirsk, 630090
V. V. Ostapenko
Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences; Novosibirsk State University
Author for correspondence.
Email: ostapenko_vv@ngs.ru
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090
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