Email this article Monotonicity of the CABARET scheme approximating a hyperbolic equation with a sign-changing characteristic field
- Authors: Kovyrkina O.A.1, Ostapenko V.V.1,2
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Affiliations:
- Lavrent’ev Institute of Hydrodynamics, Siberian Branch
- Novosibirsk State University
- Issue: Vol 56, No 5 (2016)
- Pages: 783-801
- Section: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/178438
- DOI: https://doi.org/10.1134/S0965542516050122
- ID: 178438
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Abstract
The monotonicity of the CABARET scheme approximating a hyperbolic differential equation with a sign-changing characteristic field is analyzed. Monotonicity conditions for this scheme are obtained in domains where the characteristics have a sign-definite propagation velocity and near sonic lines, on which the propagation velocity changes its sign. These properties of the CABARET scheme are illustrated by test computations.
About the authors
O. A. Kovyrkina
Lavrent’ev Institute of Hydrodynamics, Siberian Branch
Author for correspondence.
Email: olyana@ngs.ru
Russian Federation, pr. Akademika Lavrent’eva 15, Novosibirsk, 630090
V. V. Ostapenko
Lavrent’ev Institute of Hydrodynamics, Siberian Branch; Novosibirsk State University
Author for correspondence.
Email: ostapenko_vv@ngs.ru
Russian Federation, pr. Akademika Lavrent’eva 15, Novosibirsk, 630090; Universitetskii pr. 2, Novosibirsk, 630090
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