On developing piecewise rational mapping with fine regulation capability for WENO schemes

DOI10.1007/S10915-021-01559-ZzbMath1500.65045arXiv2101.11226OpenAlexW3194453298MaRDI QIDQ2051098

Qin Li, Fengyuan Xu, Xiao Huang, Liuqing Yang, Pan Yan, Yan-Cheng You

Publication date: 1 September 2021

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.11226

zbMATH Keywords

mapping methodWENO

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (5)

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 ⋮ Third-order scale-independent WENO-Z scheme to achieve optimal order at critical points ⋮ Improvements of the fifth-order WENO-JS-type scheme with normalized smoothing factor for gas dynamic Euler equations

Cites Work

• A new mapped weighted essentially non-oscillatory method using rational mapping function
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• Efficient implementation of weighted ENO schemes
• Robust explicit formulation of weighted compact nonlinear scheme
• Adaptive mapping for high order WENO methods
• A new mapped weighted essentially non-oscillatory scheme
• An improved WENO-Z scheme
• An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
• Piecewise Polynomial Mapping Method and Corresponding WENO Scheme with Improved Resolution

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