High-order mapped WENO methods with improved efficiency

DOI10.1016/J.COMPFLUID.2021.104874OpenAlexW3127897665MaRDI QIDQ2245281

Fuxing Hu

Publication date: 15 November 2021

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2021.104874

zbMATH Keywords

hyperbolic conservation lawshigh-order methodsWENO methodsoptimal order of accuracy

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical interpolation (65D05)

Related Items (6)

New simple local smoothness indicators for fifth-order WENO schemes simulating compressible flows ⋮ A smoothness indicators free third-order weighted ENO scheme for gas-dynamic Euler equations ⋮ A novel high efficiency adaptive mapped WENO scheme ⋮ An efficient smoothness indicator mapped WENO scheme for hyperbolic conservation laws ⋮ High-order variable index weighted essentially non-oscillatory scheme for hyperbolic conservation law ⋮ Improvements of the fifth-order WENO-JS-type scheme with normalized smoothing factor for gas dynamic Euler equations

Cites Work

• Unnamed Item
• High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
• High resolution 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
• Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
• Weighted essentially non-oscillatory schemes
• Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
• Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
• Efficient implementation of weighted ENO schemes
• A mapping-function-free WENO-M scheme with low computational cost
• 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

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