Отправить статью по E-mail On the Monotonicity of the CABARET Scheme Approximating a Scalar Conservation Law with an Alternating Characteristic Field and Convex Flux Function
- Авторы: Zyuzina N.A.1,2, Kovyrkina O.A.1, Ostapenko V.V.1,2
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Учреждения:
- Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences
- Novosibirsk State University
- Выпуск: Том 11, № 1 (2019)
- Страницы: 46-60
- Раздел: Article
- URL: https://journals.rcsi.science/2070-0482/article/view/202877
- DOI: https://doi.org/10.1134/S2070048219010186
- ID: 202877
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Аннотация
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.
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N. Zyuzina
Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences; Novosibirsk State University
Автор, ответственный за переписку.
Email: nzyuzina1992@gmail.com
Россия, Siberia; Siberia
O. Kovyrkina
Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences
Автор, ответственный за переписку.
Email: olyana@ngs.ru
Россия, Siberia
V. Ostapenko
Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences; Novosibirsk State University
Автор, ответственный за переписку.
Email: ostapenko_vv@ngs.ru
Россия, Siberia; Siberia
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