Monotonicity of the CABARET scheme approximating a hyperbolic system of conservation laws

DOI10.1134/S0965542518090129zbMath1448.35332OpenAlexW2897074686WikidataQ114847333 ScholiaQ114847333MaRDI QIDQ1757631

O. A. Kovyrkina, V. V. Ostapenko

Publication date: 15 January 2019

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

Full work available at URL: https://doi.org/10.1134/s0965542518090129

zbMATH Keywords

shallow water theorydiscontinuous waveshyperbolic system of conservation lawsmonotonicity of CABARET scheme

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

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Uses Software

• SHASTA

Cites Work

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• On the monotonicity of the CABARET scheme approximating a scalar conservation law with a convex flux
• Monotonicity of the CABARET scheme approximating a hyperbolic equation with a sign-changing characteristic field
• On the monotonicity of the CABARET scheme in the multidimensional case
• Monotone approximation of a scalar conservation law based on the CABARET scheme in the case of a sign-changing characteristic field
• Non-oscillatory central differencing for hyperbolic conservation laws
• High resolution schemes for hyperbolic conservation laws
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Construction of high-order accurate shock-capturing finite difference schemes for unsteady shock waves
• Balance-characteristic scheme as applied to the shallow water equations over a rough bottom
• Efficient implementation of weighted ENO schemes
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Balanced characteristic method for systems of hyperbolic conservation laws
• On the strong monotonicity of the CABARET scheme
• Generalized Leapfrog Methods
• On finite-difference approximations and entropy conditions for shocks
• Systems of conservation laws
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works