A re-averaged WENO reconstruction and a third order CWENO scheme for hyperbolic conservation laws

DOI10.1016/j.jcp.2013.12.056zbMath1349.65303OpenAlexW1970477324MaRDI QIDQ348865

Chieh-Sen Huang, Chen-Hui Hung, Todd Arbogast

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.12.056

zbMATH Keywords

Euler equationsWENO reconstructioncompact stencilcentral WENOCWENO3positive linear weightsre-averagere-map

Mathematics Subject Classification ID

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

Related Items (6)

Higher order finite volume central schemes for multi-dimensional hyperbolic problems ⋮ Stencil selection algorithms for WENO schemes on unstructured meshes ⋮ The finite volume WENO with Lax-Wendroff scheme for nonlinear system of Euler equations ⋮ Fifth order multi-moment WENO schemes for hyperbolic conservation laws ⋮ Stencil selection algorithms for WENO schemes on unstructured meshes ⋮ An Eulerian–Lagrangian Weighted Essentially Nonoscillatory scheme for nonlinear conservation laws

Cites Work

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• On the positivity of linear weights in WENO approximations
• Very-high-order WENO schemes
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Weighted essentially non-oscillatory schemes
• Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
• On the construction, comparison, and local characteristic decomposition for high-order central WENO schemes
• Efficient implementation of weighted ENO schemes
• A third order central WENO scheme for 2D conservation laws
• Natural Continuous Extensions of Runge-Kutta Methods
• Uniformly High-Order Accurate Nonoscillatory Schemes. I
• Central WENO schemes for hyperbolic systems of conservation laws
• Compact Central WENO Schemes for Multidimensional Conservation Laws
• A Weighted Essentially Nonoscillatory, Large Time-Step Scheme for Hamilton--Jacobi Equations
• A technique of treating negative weights in WENO schemes

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