Decay of unstable strong discontinuities in the case of a convex-flux scalar conservation law approximated by the CABARET scheme

DOI10.1134/S0965542518060155zbMath1410.65336OpenAlexW2822259254WikidataQ114847335 ScholiaQ114847335MaRDI QIDQ1785071

V. V. Ostapenko, N. A. Zyuzina

Publication date: 27 September 2018

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542518060155

zbMATH Keywords

strong discontinuityscalar conservation lawdifference analogue of entropy inequalitymonotone CABARET scheme

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (1)

Studying the accuracy and applicability of the finite difference scheme for solving the diffusion-convection problem at large grid Péclet numbers

Cites Work

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• The principle of minimum of partial local variations for determining convective flows in the numerical solution of one-dimensional nonlinear scalar hyperbolic equations
• On the strong monotonicity of the CABARET scheme
• Uniformly High-Order Accurate Nonoscillatory Schemes. I
• On finite-difference approximations and entropy conditions for shocks
• Systems of conservation laws
• Systems of Conservation Equations with a Convex Extension

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