A simple weighted essentially non-oscillatory limiter for the correction procedure via reconstruction (CPR) framework on unstructured meshes

DOI10.1016/j.apnum.2014.12.004zbMath1326.65130OpenAlexW2155570156MaRDI QIDQ2513956

Chi-Wang Shu, Mengping Zhang, Jie Du

Publication date: 29 January 2015

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2014.12.004

zbMATH Keywords

unstructured meshespositivity-preservingWENO limiterCPR framework

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (9)

Arbitrary high-order non-oscillatory scheme on hybrid unstructured grids based on multi-moment finite volume method ⋮ A high-order compact limiter based on spatially weighted projections for the spectral volume and the spectral differences method ⋮ High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments ⋮ A third-order gas-kinetic CPR method for the Euler and Navier-Stokes equations on triangular meshes ⋮ A Priori Subcell Limiting Approach for the FR/CPR Method on Unstructured Meshes ⋮ High order sub-cell finite volume schemes for solving hyperbolic conservation laws. II: Extension to two-dimensional systems on unstructured grids ⋮ Discontinuous Galerkin Methods for Time-Dependent Convection Dominated Problems: Basics, Recent Developments and Comparison with Other Methods ⋮ A High Order Stable Conservative Method for Solving Hyperbolic Conservation Laws on Arbitrarily Distributed Point Clouds ⋮ Compact multi-stage reconstruction method on polyhedral unstructured grids: extension to higher-order finite volume scheme

Cites Work

• Unnamed Item
• Unnamed Item
• Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes
• Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations
• Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes
• On the non-linear stability of flux reconstruction schemes
• Spectral (finite) volume method for conservation laws on unstructured grids. II: Extension to two-dimensional scalar equation
• A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids
• Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Weighted essentially non-oscillatory schemes on triangular meshes
• The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
• Stable spectral methods for conservation laws on triangles with unstructured grids
• Weighted essentially non-oscillatory schemes
• Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws.
• Spectral (finite) volume method for conservation laws on unstructured grids. IV: Extension to two-dimensional systems.
• Spectral (finite) volume method for conservation laws on unstructured grids. III: One-dimensional systems and partition optimization
• Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
• Spectral (finite) volume method for conservation laws on unstructured grids. Basic formulation
• Efficient implementation of weighted ENO schemes
• A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids
• Spectral difference method for unstructured grids. I. Basic formulation
• Spectral difference method for unstructured grids. II. Extension to the Euler equations
• A High-Order Unifying Discontinuous Formulation for the Navier-Stokes Equations on 3D Mixed Grids
• The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
• A Comparison of Troubled-Cell Indicators for Runge--Kutta Discontinuous Galerkin Methods Using Weighted Essentially Nonoscillatory Limiters
• A technique of treating negative weights in WENO schemes

This page was built for publication: A simple weighted essentially non-oscillatory limiter for the correction procedure via reconstruction (CPR) framework on unstructured meshes