A new adaptively central-upwind sixth-order WENO scheme

DOI10.1016/j.jcp.2017.12.032zbMath1382.65245OpenAlexW2775893302MaRDI QIDQ1699454

Cong Huang, Li Li Chen

Publication date: 23 February 2018

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.12.032

zbMATH Keywords

hyperbolic conservation lawsWENO schemesmoothness indicatoradaptively central-upwind scheme

Mathematics Subject Classification ID

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

Related Items (12)

Multi-level WENO schemes with an adaptive characteristic-wise reconstruction for system of Euler equations ⋮ A new paradigm of dissipation-adjustable, multi-scale resolving schemes for compressible flows ⋮ Two-step weighting method for constructing fourth-order hybrid central WENO scheme ⋮ A new sixth-order WENO scheme for solving hyperbolic conservation laws ⋮ Stability analysis and improvement of the solution reconstruction for cell-centered finite volume methods on unstructured meshes ⋮ A Fourth Order WENO Scheme for Hyperbolic Conservation Laws ⋮ A class of non-oscillatory direct-space-time schemes for hyperbolic conservation laws ⋮ Simple smoothness indicator and multi-level adaptive order WENO scheme for hyperbolic conservation laws ⋮ Maximum principle and positivity-preserving high order spectral volume schemes with parametrized flux limiters for solving hyperbolic conservation laws ⋮ Efficient seventh order WENO schemes of adaptive order for hyperbolic conservation laws ⋮ A novel high efficiency adaptive mapped WENO scheme ⋮ A Hybrid Targeted Eno-Thinc Scheme With a Modified BVD Algorithm and its Application in Stiff Detonation

Cites Work

• Unnamed Item
• A new mapped weighted essentially non-oscillatory method using rational mapping function
• An adaptive central-upwind weighted essentially non-oscillatory scheme
• High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
• A new fifth order finite difference WENO scheme for solving hyperbolic conservation laws
• 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
• Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
• An improved mapped weighted essentially non-oscillatory scheme
• An efficient class of WENO schemes with adaptive order
• Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
• On the construction, comparison, and local characteristic decomposition for high-order central WENO schemes
• 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
• Strong Stability-Preserving High-Order Time Discretization Methods
• Weak solutions of nonlinear hyperbolic equations and their numerical computation
• A technique of treating negative weights in WENO schemes

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