On the Monotonicity of the CABARET Scheme Approximating a Scalar Conservation Law with an Alternating Characteristic Field and Convex Flux Function
- Authors: Zyuzina N.A.1,2, Kovyrkina O.A.1, Ostapenko V.V.1,2
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Affiliations:
- Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences
- Novosibirsk State University
- Issue: Vol 11, No 1 (2019)
- Pages: 46-60
- Section: Article
- URL: https://journals.rcsi.science/2070-0482/article/view/202877
- DOI: https://doi.org/10.1134/S2070048219010186
- ID: 202877
Cite item
Abstract
The monotonicity of the CABARET scheme approximating the quasi-linear scalar conservation law with a convex flux is analyzed. The monotonicity conditions for this scheme are obtained in the areas where the propagation velocity of the characteristics has a constant sign, as well as in the areas of sonic lines, sonic bands, and shock waves, where the propagation velocity of the characteristics of the approximated divergent equation changes sign. The test computations are presented that illustrate these properties of the CABARET scheme.
About the authors
N. A. Zyuzina
Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences; Novosibirsk State University
Author for correspondence.
Email: nzyuzina1992@gmail.com
Russian Federation, Siberia; Siberia
O. A. Kovyrkina
Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences
Author for correspondence.
Email: olyana@ngs.ru
Russian Federation, Siberia
V. V. Ostapenko
Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences; Novosibirsk State University
Author for correspondence.
Email: ostapenko_vv@ngs.ru
Russian Federation, Siberia; Siberia
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