Modified stencil approximations for fifth-order weighted essentially non-oscillatory schemes

DOI10.1007/s10915-019-01042-wzbMath1427.65192OpenAlexW2971169355WikidataQ127312028 ScholiaQ127312028MaRDI QIDQ2333728

Kunlei Zhao, Li Yuan, Yulong Du, Ya-Hui Wang

Publication date: 13 November 2019

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

Full work available at URL: https://doi.org/10.1007/s10915-019-01042-w

zbMATH Keywords

Euler equationhyperbolic conservation lawWENO schemesmoothness indicatorstencil approximation order

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Multiphase and multicomponent flows (76T99) 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Approximation by polynomials (41A10) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Euler equations (35Q31)

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A New Mapped WENO Scheme Using Order-Preserving Mapping, A General Improvement in the WENO-Z-Type Schemes, A new 6th-order WENO scheme with modified stencils, Improved third-order WENO scheme with a new reference smoothness indicator, An improved fifth-order WENO scheme with symmetry-preserving smoothness indicators for hyperbolic conservation laws, New simple local smoothness indicators for fifth-order WENO schemes simulating compressible flows, Improved weighted essentially non-oscillatory schemes with modified stencil approximation, An Efficient Mapped WENO Scheme Using Approximate Constant Mapping, A Hybrid Targeted Eno-Thinc Scheme With a Modified BVD Algorithm and its Application in Stiff Detonation

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