Discontinuity-detecting method for a four-point stencil and its application to develop a third-order hybrid-WENO scheme

DOI10.1007/s10915-019-01060-8zbMath1448.65111OpenAlexW2978691662WikidataQ127173509 ScholiaQ127173509MaRDI QIDQ2291888

Shengping Liu, Yiqing Shen

Publication date: 31 January 2020

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

Full work available at URL: http://dspace.imech.ac.cn/handle/311007/81625

zbMATH Keywords

discontinuity-detecting methodhybrid-WENO schemenon-nodal critical pointthird-order WENO scheme

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) 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)

Two-step weighting method for constructing fourth-order hybrid central WENO scheme ⋮ A new family of downwind-limited, scale-invariant WENO schemes with optimal accuracy ⋮ Efficient implementation of high-order WENO schemes with sharing function for solving Euler equations ⋮ A unified framework for non-linear reconstruction schemes in a compact stencil. I: Beyond second order ⋮ An improved continuity-preserving interface reconstruction method for multi-material flow

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