A method for improving the performance of the WENO5 scheme near discontinuities

DOI10.1016/j.aml.2009.05.016zbMath1177.65130OpenAlexW2025914617MaRDI QIDQ1036828

Muddun Bhuruth, Arshad Ahmud Iqbal Peer, Muhammad Zaid Dauhoo

Publication date: 13 November 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.05.016

zbMATH Keywords

numerical examplessemidiscretizationdiscontinuitieshyperbolic conservation lawsmoothness indicatornonlinear weightsfifth-order weighted essentially non-oscillatory (WENO5) scheme

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) 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)

Related Items (7)

A high-order weighted essentially non-oscillatory (WENO) finite difference scheme for nonlinear degenerate parabolic equations ⋮ Further improvement of weighted compact nonlinear scheme using compact nonlinear interpolation ⋮ A hybrid ENO reconstruction with limiters for systems of hyperbolic conservation laws ⋮ <scp>RBF‐ENO</scp>/<scp>WENO</scp> schemes with <scp>Lax–Wendroff</scp> type time discretizations for <scp>Hamilton–Jacobi</scp> equations ⋮ An efficient three-level weighted essentially non-oscillatory scheme for hyperbolic equations ⋮ Unnamed Item ⋮ Three-level order-adaptive weighted essentially non-oscillatory schemes

Cites Work

• Numerical experiments on the accuracy of ENO and modified ENO schemes
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• Power ENO methods: A fifth-order accurate weighted power ENO method.
• Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
• Efficient implementation of weighted ENO schemes
• Simplified discretization of systems of hyperbolic conservation laws containing advection equations
• An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
• High-order linear multistep methods with general monotonicity and boundedness properties
• Strong Stability-Preserving High-Order Time Discretization Methods
• A weighted ENO-flux limiter scheme for hyperbolic conservation laws
• Linear Instability of the Fifth-Order WENO Method
• Computational Gasdynamics

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