Email this article CABARET scheme’s modification ensuring its high accuracy on local extrema
- Authors: Zyuzina N.A.1, Ostapenko V.V.2
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Affiliations:
- Novosibirsk State University
- Lavrentyev Institute of Hydrodynamics, Siberian Branch
- Issue: Vol 8, No 3 (2016)
- Pages: 231-237
- Section: Article
- URL: https://journals.rcsi.science/2070-0482/article/view/200854
- DOI: https://doi.org/10.1134/S2070048216030108
- ID: 200854
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Abstract
It is demonstrated that the standard flow-variables’ correction required for the monotonicity of the CABARET scheme reduces its accuracy near local extrema. A modified correction of the flows is proposed; it retains the strong monotonicity of the CABARET scheme for Courant numbers r ∈ (0,0.5], and thus ensures its high accuracy near local extrema. The results of the test computations of discontinuous solutions of a nonlinear transport equation are presented; these results illustrate the advantages of the modified scheme.
About the authors
N. A. Zyuzina
Novosibirsk State University
Author for correspondence.
Email: nzyuzina1992@gmail.com
Russian Federation, ul. Pirogova 2, Novosibirsk, 630090
V. V. Ostapenko
Lavrentyev Institute of Hydrodynamics, Siberian Branch
Email: nzyuzina1992@gmail.com
Russian Federation, ul. Lavrent’eva 15, Novosibirsk, 630090
