A modified fifth-order WENOZ method for hyperbolic conservation laws

DOI10.1016/j.cam.2016.02.027zbMath1336.65136OpenAlexW2291865455MaRDI QIDQ269361

Xueyong Chen, Fuxing Hu, Rong Wang

Publication date: 18 April 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.02.027

zbMATH Keywords

hyperbolic conservation lawshigh-order schemessmoothness indicatorsWENO schemes

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Cites Work

• Unnamed Item
• Accuracy of the weighted essentially non-oscillatory conservative finite difference schemes
• High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• Weighted essentially non-oscillatory schemes
• Comparison of improved finite-difference WENO schemes for the implicit large eddy simulation of turbulent non-reacting and reacting high-speed shear flows
• An improved mapped weighted essentially non-oscillatory scheme
• Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
• Efficient implementation of weighted ENO schemes
• A new mapped weighted essentially non-oscillatory scheme
• An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
• Analysis of WENO Schemes for Full and Global Accuracy
• Uniformly High-Order Accurate Nonoscillatory Schemes. I
• The dynamics of bubble growth for Rayleigh–Taylor unstable interfaces
• Total-Variation-Diminishing Time Discretizations
• Total variation diminishing Runge-Kutta schemes