Email this article On the monotonicity of the CABARET scheme approximating a scalar conservation law with a convex flux
- Authors: Zyuzina N.A.1, Ostapenko V.V.1,2
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Affiliations:
- Lavrent’ev Institute of Hydrodynamics, Siberian Branch
- Novosibirsk State University
- Issue: Vol 93, No 1 (2016)
- Pages: 69-73
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223383
- DOI: https://doi.org/10.1134/S1064562416010282
- ID: 223383
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Abstract
The monotonicity of the CABARET scheme approximating a scalar conservation law with a convex flux is analyzed. Monotonicity conditions for this scheme are obtained assuming that the propagation velocity of characteristics of the approximated conservative equation is positive. Test computations are presented that illustrate these properties of the CABARET scheme.
About the authors
N. A. Zyuzina
Lavrent’ev Institute of Hydrodynamics, Siberian Branch
Email: ostapenko_vv@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
