Improved weighted essentially non-oscillatory schemes with modified stencil approximation

DOI10.1007/S40314-022-02075-YzbMath1506.65139OpenAlexW4320913251MaRDI QIDQ2688150

Ya-Hui Wang

Publication date: 2 March 2023

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

Full work available at URL: https://doi.org/10.1007/s40314-022-02075-y

zbMATH Keywords

hyperbolic conservation lawWENOnonlinear weightmodified stencilreference smoothness indicator

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (2)

Improved third-order WENO scheme with a new reference smoothness indicator ⋮ Linear lattice Boltzmann flux solver with compact third-order finite volume method for acoustic propagation simulations on three-dimensional hybrid unstructured grids

Cites Work

• High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
• The numerical simulation of two-dimensional fluid flow with strong shocks
• 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
• An improved third-order WENO-Z scheme
• Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
• Efficient implementation of weighted ENO schemes
• ENO and WENO schemes using arc-length based smoothness measurement
• Modified stencil approximations for fifth-order weighted essentially non-oscillatory schemes
• An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
• A new 6th-order WENO scheme with modified stencils
• Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics
• Weak solutions of nonlinear hyperbolic equations and their numerical computation

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