Monotonicity of the CABARET scheme approximating a hyperbolic equation with a sign-changing characteristic field
- Авторлар: Kovyrkina O.A.1, Ostapenko V.V.1,2
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Мекемелер:
- Lavrent’ev Institute of Hydrodynamics, Siberian Branch
- Novosibirsk State University
- Шығарылым: Том 56, № 5 (2016)
- Беттер: 783-801
- Бөлім: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/178438
- DOI: https://doi.org/10.1134/S0965542516050122
- ID: 178438
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
O. Kovyrkina
Lavrent’ev Institute of Hydrodynamics, Siberian Branch
Хат алмасуға жауапты Автор.
Email: olyana@ngs.ru
Ресей, pr. Akademika Lavrent’eva 15, Novosibirsk, 630090
V. Ostapenko
Lavrent’ev Institute of Hydrodynamics, Siberian Branch; Novosibirsk State University
Хат алмасуға жауапты Автор.
Email: ostapenko_vv@ngs.ru
Ресей, pr. Akademika Lavrent’eva 15, Novosibirsk, 630090; Universitetskii pr. 2, Novosibirsk, 630090
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