Email this article Application of the CABARET scheme for calculation of discontinuous solutions of the scalar conservation law with nonconvex flux
- Authors: Ostapenko V.V.1,2, Cherevko A.A.1,2
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Affiliations:
- Lavrent’ev Institute of Hydrodynamics, Siberian Branch
- Novosibirsk State University
- Issue: Vol 62, No 10 (2017)
- Pages: 470-474
- Section: Mechanics
- URL: https://journals.rcsi.science/1028-3358/article/view/191914
- DOI: https://doi.org/10.1134/S1028335817100056
- ID: 191914
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Abstract
The monotonicity of the CABARET scheme approximating the quasi-linear scalar conservation law with nonconvex flux is analyzed. The conditions of monotonicity of this scheme are obtained in the case when the speed of propagation of characteristics of the approximated equation is limited and nonnegative. As an example, the test calculations by the CABARET scheme of discontinuous solutions of the Buckley–Leverett equation are presented.
About the authors
V. V. Ostapenko
Lavrent’ev Institute of Hydrodynamics, Siberian Branch; Novosibirsk State University
Email: cherevko@mail.ru
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090
A. A. Cherevko
Lavrent’ev Institute of Hydrodynamics, Siberian Branch; Novosibirsk State University
Author for correspondence.
Email: cherevko@mail.ru
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090
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