Seventh order Hermite WENO scheme for hyperbolic conservation laws

DOI10.1016/j.compfluid.2016.03.010zbMath1390.76641OpenAlexW2325400660MaRDI QIDQ1646902

Yousef Hashem Zahran, Amr H. Abdalla

Publication date: 26 June 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2016.03.010

zbMATH Keywords

conservation lawsBurgers equationEuler equationsHermite WENOcentral-upwind fluxSSPRK Runge-Kutta

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (23)

Fifth-order Hermite targeted essentially non-oscillatory schemes for hyperbolic conservation laws ⋮ Seventh order compact-WENO scheme for hyperbolic conservation laws ⋮ Multi-resolution HWENO schemes for hyperbolic conservation laws ⋮ High order residual distribution conservative finite difference HWENO scheme for steady state problems ⋮ 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 ⋮ Hybrid Hermite TENO scheme with a simple smoothness indicator for compressible flow simulations ⋮ 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 ⋮ Well-balanced fifth-order finite difference Hermite WENO scheme for the shallow water equations ⋮ Hybrid HWENO method for nonlinear degenerate parabolic equations ⋮ An oscillation-free Hermite WENO scheme for hyperbolic conservation laws ⋮ A modified fifth order finite difference Hermite WENO scheme for hyperbolic conservation laws ⋮ A hybrid Hermite WENO scheme for hyperbolic conservation laws ⋮ A Hermite WENO Method with Modified Ghost Fluid Method for Compressible Two-Medium Flow Problems ⋮ A modified seventh-order WENO scheme with new nonlinear weights for hyperbolic conservation laws ⋮ Positivity-preserving sixth-order implicit finite difference weighted essentially non-oscillatory scheme for the nonlinear heat equation ⋮ 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 ⋮ A fifth-order finite difference HWENO scheme combined with limiter for hyperbolic conservation laws ⋮ New finite difference unequal-sized Hermite WENO scheme for Navier-Stokes equations

Cites Work

• On high order strong stability preserving Runge-Kutta and multi step time discretizations
• High-order central Hermite WENO schemes on staggered meshes for hyperbolic conservation laws
• Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method. II: Two dimensional case
• High resolution schemes for hyperbolic conservation laws
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One-dimensional case.
• Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
• Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
• Efficient implementation of weighted ENO schemes
• Finite difference Hermite WENO schemes for hyperbolic conservation laws
• Improved ninth order WENO scheme for hyperbolic conservation laws
• An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
• A Hermite upwind WENO scheme for solving hyperbolic conservation laws
• Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations
• RCM-TVD hybrid scheme for hyperbolic conservation laws
• Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws

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