A New Type of Modified WENO Schemes for Solving Hyperbolic Conservation Laws

DOI10.1137/16M1087291zbMath1366.65081OpenAlexW2626634431MaRDI QIDQ5268995

Jun Zhu, Jianxian Qiu

Publication date: 14 June 2017

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1087291

zbMATH Keywords

hyperbolic conservation lawsnumerical resultweighted essentially nonoscillatory (WENO) schemesfinite difference frameworkhigh Mach number astrophysical jet problemsSedov blast wave

Mathematics Subject Classification ID

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

Related Items (15)

An improved hybridization strategy for the fifth-order unequal-sized weighted essentially non-oscillatory scheme ⋮ Hybrid fifth-order unequal-sized weighted essentially non-oscillatory scheme for shallow water equations ⋮ A new high order hybrid WENO scheme for hyperbolic conservation laws ⋮ On a Power WENO Scheme with Improved Accuracy Near Discontinuities ⋮ An efficient hybrid multi-resolution WCNS scheme for solving compressible flows ⋮ An improved discontinuity sensor for high-order weighted essentially non-oscillatory scheme on triangular meshes ⋮ A class of bound-preserving MUSCL-Hancock schemes in two dimensions ⋮ A new hybrid WENO scheme for hyperbolic conservation laws ⋮ One dimensional hybrid WENO-AO method using improved troubled cell indicator based on extreme point ⋮ Troubled-Cell Indicator based on Mean Value Property for Hybrid WENO schemes ⋮ An efficient modified WENO scheme based on the identification of inflection points ⋮ Efficient seventh order WENO schemes of adaptive order for hyperbolic conservation laws ⋮ On New Strategies to Control the Accuracy of WENO Algorithms Close to Discontinuities ⋮ A Hybrid WENO Method with Modified Ghost Fluid Method for Compressible Two-Medium Flow Problems ⋮ On a class of robust bound-preserving MUSCL-hancock schemes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Positivity-preserving high order finite difference WENO schemes for compressible Euler equations
• Numerical simulation of the XZ Tauri supersonic astrophysical jet
• On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
• On maximum-principle-satisfying high order schemes for scalar conservation laws
• High resolution schemes for hyperbolic conservation laws
• 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
• Weighted essentially non-oscillatory schemes on triangular meshes
• Weighted essentially non-oscillatory schemes
• Efficient implementation of weighted ENO schemes
• A finite-volume high-order ENO scheme for two-dimensional hyperbolic systems
• Positive scheme numerical simulation of high Mach number astrophysical jets
• Numerical simulation of high Mach number astrophysical jets with radiative cooling
• Parametrized positivity preserving flux limiters for the high order finite difference WENO scheme solving compressible Euler equations
• Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments
• High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
• Uniformly High-Order Accurate Nonoscillatory Schemes. I
• Finite-volume implementation of high-order essentially nonoscillatory schemes in two dimensions
• Parametrized Maximum Principle Preserving Limiter for Finite Difference WENO Schemes Solving Convection-Dominated Diffusion Equations

This page was built for publication: A New Type of Modified WENO Schemes for Solving Hyperbolic Conservation Laws