An improved mapped weighted essentially non-oscillatory scheme

DOI10.1016/j.amc.2014.01.061zbMath1410.65306OpenAlexW1968767119MaRDI QIDQ1646134

Hui Feng, Cong Huang, Rong Wang

Publication date: 22 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.01.061

zbMATH Keywords

hyperbolic conservation lawsmapping functionWENO methods

Mathematics Subject Classification ID

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

Related Items (36)

A modified fifth-order WENOZ method for hyperbolic conservation laws ⋮ An Extension of the Order-Preserving Mapping to the WENO-Z-Type Schemes ⋮ A new mapped weighted essentially non-oscillatory method using rational mapping function ⋮ On the accuracy of WENO and CWENO reconstructions of third order on nonuniform meshes ⋮ Evaluation of Riemann flux solvers for WENO reconstruction schemes: Kelvin-Helmholtz instability ⋮ A New Mapped WENO Scheme Using Order-Preserving Mapping ⋮ A new finite difference mapped unequal-sized WENO scheme for Hamilton-Jacobi equations ⋮ A General Improvement in the WENO-Z-Type Schemes ⋮ New mapped unequal-sized trigonometric WENO scheme for hyperbolic conservation laws ⋮ A simple WENO-AO method for solving hyperbolic conservation laws ⋮ Novel weighted essentially non-oscillatory schemes with adaptive weights ⋮ An improved fifth-order WENO scheme with symmetry-preserving smoothness indicators for hyperbolic conservation laws ⋮ Locally order-preserving mapping for WENO methods ⋮ New simple local smoothness indicators for fifth-order WENO schemes simulating compressible flows ⋮ Analysis of spectral properties of WENO schemes in smooth regions ⋮ A smoothness indicators free third-order weighted ENO scheme for gas-dynamic Euler equations ⋮ New Finite Volume Mapped Unequal-Sized WENO Scheme for Hyperbolic Conservation Laws ⋮ A new adaptively central-upwind sixth-order WENO scheme ⋮ A new sixth-order WENO scheme for solving hyperbolic conservation laws ⋮ An efficient finite difference IFWENO-THINC hybrid scheme for capturing discontinuities ⋮ Adaptive mapping for high order WENO methods ⋮ An improved WLS-ENO method for solving hyperbolic conservation laws ⋮ A mapping-function-free WENO-M scheme with low computational cost ⋮ WENO scheme with new smoothness indicator for Hamilton-Jacobi equation ⋮ CWENO: Uniformly accurate reconstructions for balance laws ⋮ High-order finite volume shallow water model on the cubed-sphere: 1D reconstruction scheme ⋮ Positivity-preserving sixth-order implicit finite difference weighted essentially non-oscillatory scheme for the nonlinear heat equation ⋮ On developing piecewise rational mapping with fine regulation capability for WENO schemes ⋮ A novel high efficiency adaptive mapped WENO scheme ⋮ An efficient smoothness indicator mapped WENO scheme for hyperbolic conservation laws ⋮ An efficient hybrid method for solving Euler equations ⋮ A robust and efficient component-wise WENO scheme for Euler equations ⋮ High-order variable index weighted essentially non-oscillatory scheme for hyperbolic conservation law ⋮ A finite difference mapped WENO scheme with unequal-size stencils for hyperbolic conservation laws ⋮ An Efficient Mapped WENO Scheme Using Approximate Constant Mapping ⋮ Improvements of the fifth-order WENO-JS-type scheme with normalized smoothing factor for gas dynamic Euler equations

Cites Work

• Unnamed Item
• High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
• Numerical experiments on the accuracy of ENO and modified ENO schemes
• WENO schemes based on upwind and centred TVD fluxes
• ENO schemes with subcell resolution
• Some results on uniformly high-order accurate essentially nonoscillatory schemes
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• Weighted essentially non-oscillatory schemes
• 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
• A new mapped weighted essentially non-oscillatory scheme
• An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
• TVD fluxes for the high-order ADER schemes
• Strong Stability-Preserving High-Order Time Discretization Methods
• High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• Uniformly High-Order Accurate Nonoscillatory Schemes. I

This page was built for publication: An improved mapped weighted essentially non-oscillatory scheme