A New Third-Order Finite Difference WENO Scheme to Improve Convergence Rate at Critical Points

DOI10.1080/10618562.2023.2237898MaRDI QIDQ6077341

Xiao-Gang Li, Tian Xia, Unnamed Author, Unnamed Author, Unnamed Author

Publication date: 25 September 2023

Published in: International Journal of Computational Fluid Dynamics (Search for Journal in Brave)

zbMATH Keywords

hyperbolic conservation lawsWENO schemesmoothness indicatorsconvergence accuracy

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Cites Work

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• Weighted essentially non-oscillatory schemes
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• Improvement of third-order WENO-Z scheme at critical points
• Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
• Efficient implementation of weighted ENO schemes
• An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
• On the miscible Rayleigh–Taylor instability: two and three dimensions
• Uniformly High-Order Accurate Nonoscillatory Schemes. I
• Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics
• Improvement of third-order finite difference WENO scheme at critical points
• Weak solutions of nonlinear hyperbolic equations and their numerical computation

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