On the practical accuracy of shock-capturing schemes

DOI10.1134/S2070048214020069zbMath1357.65121OpenAlexW1984906514MaRDI QIDQ2961205

V. V. Ostapenko, O. A. Kovyrkina

Publication date: 17 February 2017

Published in: Mathematical Models and Computer Simulations (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/mm3401

zbMATH Keywords

discontinuous solutionshigher accuracyshock-capturing difference schemesintegral order of convergence

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (11)

Сравнительный анализ точности трех различных схем при сквозном расчете ударных волн ⋮ On the construction of combined finite-difference schemes of high accuracy ⋮ On the accuracy of discontinuous Galerkin method calculating gas-dynamic shock waves ⋮ On the integral convergence of numerical schemes calculating gas-dynamic shock waves ⋮ О сравнении решений в задачах верификации ⋮ Monotone finite-difference scheme preserving high accuracy in regions of shock influence ⋮ О точности схемы типа MUSCL при расчете разрывных решений ⋮ On the accuracy of the discontinuous Galerkin method in calculation of shock waves ⋮ К обоснованию метода интегральной сходимости исследования точности разностных схем сквозного счета ⋮ О повышении устойчивости комбинированной схемы разрывного метода Галеркина ⋮ On Construction of Combined Shock-Capturing Finite-Difference Schemes of High Accuracy

Cites Work

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• On the convergence of shock-capturing difference schemes
• High resolution schemes for hyperbolic conservation laws
• Flux-corrected transport. II: Generalizations of the method
• On the strong monotonicity of nonlinear difference schemes
• Weak finite difference approximation of a divergence differential operator of arbitrary order
• New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• The use of smoothing operators in difference schemes of a high order of accuracy
• The Convergence Rate of Finite Difference Schemes in the Presence of Shocks
• Computational Considerations for the Simulation of Shock-Induced Sound
• Systems of conservation laws

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