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

Journal Computational Mathematics and Mathematical Physics
ISSN: 0965-5425
Output data Year: 2018, Volume: 58, Number: 9, Pages: 1435-1450 Pages count : 16 DOI: 10.1134/S0965542518090129
Tags discontinuous waves; hyperbolic system of conservation laws; monotonicity of CABARET scheme; shallow water theory
Authors Kovyrkina O.A. 1 , Ostapenko V.V 1,2
Affiliations
1 Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
2 Novosibirsk State University, Novosibirsk, 630090 Russia

Funding (1)

1 Российский фонд фундаментальных исследований 16-01-00333

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.
Cite: Kovyrkina O.A. , Ostapenko V.V.
Monotonicity of the CABARET Scheme Approximating a Hyperbolic System of Conservation Laws
Computational Mathematics and Mathematical Physics. 2018. V.58. N9. P.1435-1450. DOI: 10.1134/S0965542518090129 WOS Scopus РИНЦ OpenAlex
Original: Ковыркина О.А. , Остапенко В.В.
О монотонности схемы КАБАРЕ, аппроксимирующей гиперболическую систему законов сохранения
Журнал вычислительной математики и математической физики. 2018. Т.58. №9. С.1488-1504. DOI: 10.31857/s004446690002528-1 РИНЦ OpenAlex
Identifiers:
Web of science: WOS:000447653000006
Scopus: 2-s2.0-85055103418
Elibrary: 37213566
OpenAlex: W2897074686
Citing:
DB Citing
Scopus 8
OpenAlex 8
Elibrary 6
Web of science 5
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