Мақаланы E-mail арқылы жіберу Monotonicity of the CABARET Scheme Approximating a Hyperbolic System of Conservation Laws
- Авторлар: Kovyrkina O.A.1, Ostapenko V.V.1,2
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Мекемелер:
- Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences
- Novosibirsk State University
- Шығарылым: Том 58, № 9 (2018)
- Беттер: 1435-1450
- Бөлім: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/179834
- DOI: https://doi.org/10.1134/S0965542518090129
- ID: 179834
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Аннотация
The monotonicity of the CABARET scheme for approximating a quasilinear hyperbolic system of conservation laws is investigated. The conditions are obtained under which this scheme is monotonicity-preserving with respect to the invariants of the linear approximation of the approximated system. The system of shallow water equations is considered as an example. The capabilities of the scheme in the computation of discontinuous solutions with shock waves are illustrated by test calculations of Riemann problems.
Авторлар туралы
O. Kovyrkina
Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences
Хат алмасуға жауапты Автор.
Email: olyana@ngs.ru
Ресей, Novosibirsk, 630090
V. Ostapenko
Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences; Novosibirsk State University
Хат алмасуға жауапты Автор.
Email: ostapenko_vv@ngs.ru
Ресей, Novosibirsk, 630090; Novosibirsk, 630090
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