On the Monotonicity of the CABARET Scheme Approximating a Scalar Conservation Law with an Alternating Characteristic Field and Convex Flux Function Full article
| Journal |
Mathematical Models and Computer Simulations
ISSN: 2070-0482 |
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| Output data | Year: 2019, Volume: 11, Number: 1, Pages: 46-60 Pages count : 15 DOI: 10.1134/S2070048219010186 | ||||
| Tags | CABARET scheme; monotonicity; scalar conservation law with a convex flux; sonic lines | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Российский фонд фундаментальных исследований | 16-01-00333 |
Abstract:
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.
Cite:
Ostapenko V.V.
, Zyuzina N.A.
, Kovyrkina O.A.
On the Monotonicity of the CABARET Scheme Approximating a Scalar Conservation Law with an Alternating Characteristic Field and Convex Flux Function
Mathematical Models and Computer Simulations. 2019. V.11. N1. P.46-60. DOI: 10.1134/S2070048219010186 Scopus РИНЦ OpenAlex
On the Monotonicity of the CABARET Scheme Approximating a Scalar Conservation Law with an Alternating Characteristic Field and Convex Flux Function
Mathematical Models and Computer Simulations. 2019. V.11. N1. P.46-60. DOI: 10.1134/S2070048219010186 Scopus РИНЦ OpenAlex
Original:
Зюзина Н.А.
, Ковыркина О.А.
, Остапенко В.В.
О монотонности схемы КАБАРЕ, аппроксимирующей скалярный закон сохранения со знакопеременным характеристическим полем и выпуклой функцией потоков
Математическое моделирование. 2018. Т.30. №5. С.76-98. РИНЦ
О монотонности схемы КАБАРЕ, аппроксимирующей скалярный закон сохранения со знакопеременным характеристическим полем и выпуклой функцией потоков
Математическое моделирование. 2018. Т.30. №5. С.76-98. РИНЦ
Identifiers:
| Scopus: | 2-s2.0-85065417619 |
| Elibrary: | 38691856 |
| OpenAlex: | W2944373024 |