On convergence of finite-difference shock-capturing schemes in regions of shock waves influence

DOI10.1134/S1064562422030048zbMath1496.65118OpenAlexW4289883931MaRDI QIDQ2171645

V. V. Ostapenko, O. A. Kovyrkina, V. F. Tishkin

Publication date: 9 September 2022

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562422030048

zbMATH Keywords

shockCABARET schemelocal convergence of difference solutionRusanov schemeWENO5 scheme

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (1)

On the accuracy of shock-capturing schemes when calculating Cauchy problems with periodic discontinuous initial data

Cites Work

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• Efficient implementation of weighted ENO schemes
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Computational Considerations for the Simulation of Shock-Induced Sound
• Systems of conservation laws

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