Monotonicity of the CABARET Scheme Approximating a Hyperbolic System of Conservation Laws

O. A. Kovyrkina; V. V. Ostapenko

doi:10.1134/S0965542518090129

Monotonicity of the CABARET Scheme Approximating a Hyperbolic System of Conservation Laws

Результат исследования: Научные публикации в периодических изданиях › статья

Аннотация

Abstract: 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.

Язык оригинала	английский
Страницы (с-по)	1435-1450
Число страниц	16
Журнал	Computational Mathematics and Mathematical Physics
Том	58
Номер выпуска	9
DOI	https://doi.org/10.1134/S0965542518090129
Состояние	Опубликовано - 1 сен 2018

Доступ к документу

10.1134/S0965542518090129

Link to publication in Scopus

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Kovyrkina, O. A., & Ostapenko, V. V. (2018). Monotonicity of the CABARET Scheme Approximating a Hyperbolic System of Conservation Laws. Computational Mathematics and Mathematical Physics, 58(9), 1435-1450. https://doi.org/10.1134/S0965542518090129

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Monotonicity of the CABARET Scheme Approximating a Hyperbolic System of Conservation Laws. / Kovyrkina, O. A.; Ostapenko, V. V.

В: Computational Mathematics and Mathematical Physics, Том 58, № 9, 01.09.2018, стр. 1435-1450.

Результат исследования: Научные публикации в периодических изданиях › статья

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