High-order central Hermite WENO schemes on staggered meshes for hyperbolic conservation laws

DOI10.1016/j.jcp.2014.10.027zbMath1352.65271OpenAlexW1989299386MaRDI QIDQ728745

Fengyan Li, Zhanjing Tao, Jianxian Qiu

Publication date: 20 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.2014.10.027

zbMATH Keywords

finite volume methodhigh-order accuracycentral schemesLax-WendroffHermite WENOnatural continuous extension (NCE) of Runge-Kutta

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (23)

Fifth-order Hermite targeted essentially non-oscillatory schemes for hyperbolic conservation laws ⋮ Positivity-preserving high order finite volume hybrid Hermite WENO schemes for compressible Navier-Stokes equations ⋮ High order residual distribution conservative finite difference HWENO scheme for steady state problems ⋮ A new finite volume multi-resolution central WENO scheme for Navier-Stokes equations on staggered meshes ⋮ Seventh order Hermite WENO scheme for hyperbolic conservation laws ⋮ High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations ⋮ Hermite upwind positive schemes (HUPS) for non-linear hyperbolic systems of conservation laws ⋮ A New Fifth-Order Finite Volume Central WENO Scheme for Hyperbolic Conservation Laws on Staggered Meshes ⋮ Dimension-by-dimension moment-based central Hermite WENO schemes for directly solving Hamilton-Jacobi equations ⋮ A sixth-order finite difference HWENO scheme for nonlinear degenerate parabolic equation ⋮ A robust fifth order finite difference Hermite WENO scheme for compressible Euler equations ⋮ A modified fifth order finite difference Hermite WENO scheme for hyperbolic conservation laws ⋮ A hybrid Hermite WENO scheme for hyperbolic conservation laws ⋮ High Order Finite Difference Scheme based on DG Boundary Treatment (FDbDG) ⋮ A Hermite WENO Method with Modified Ghost Fluid Method for Compressible Two-Medium Flow Problems ⋮ High-order central Hermite WENO schemes: dimension-by-dimension moment-based reconstructions ⋮ A new weighted essentially non-oscillatory WENO-NIP scheme for hyperbolic conservation laws ⋮ A new very high-order upwind directional multi-layer compact (DMLC) scheme for multi-dimensional flows ⋮ New finite difference Hermite WENO schemes for Hamilton-Jacobi equations ⋮ Compact high-order numerical schemes for scalar hyperbolic partial differential equations ⋮ A Hermite method with a discontinuity sensor for Hamilton-Jacobi equations ⋮ A Hermite WENO scheme with artificial linear weights for hyperbolic conservation laws ⋮ New finite difference unequal-sized Hermite WENO scheme for Navier-Stokes equations

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