A note on the convergence of Godunov type methods for shock reflection problems

DOI10.1016/J.CAMWA.2013.04.024zbMath1391.76284arXiv1204.6270OpenAlexW1992226975MaRDI QIDQ2629500

Jeffrey W. Banks

Publication date: 6 July 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.6270

zbMATH Keywords

weak solutionsEuler equationsGodunov methodsshock wavesshock capturing

Mathematics Subject Classification ID

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)

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Cites Work

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• On sub-linear convergence for linearly degenerate waves in capturing schemes
• Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Revisiting wall heating
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• On finite-difference approximations and entropy conditions for shocks
• The Rate of Convergence of Some Difference Schemes
• Solutions in the large for nonlinear hyperbolic systems of equations

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