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

DOI10.1016/j.apnum.2014.01.006zbMath1320.65114OpenAlexW2023141104MaRDI QIDQ2349313

Mengping Zhang, Jie Du, Chi-Wang Shu

Publication date: 22 June 2015

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2014.01.006

zbMATH Keywords

positivity-preservingWENO limiterCPR framework

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (11)

A high-order compact limiter based on spatially weighted projections for the spectral volume and the spectral differences method ⋮ A compact high-order gas-kinetic scheme on unstructured mesh for acoustic and shock wave computations ⋮ High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments ⋮ A priori subcell limiting based on compact nonuniform nonlinear weighted schemes of high-order CPR method for hyperbolic conservation laws ⋮ A Priori Subcell Limiting Approach for the FR/CPR Method on Unstructured Meshes ⋮ High-order positivity-preserving method in the flux reconstruction framework for the simulation of two-medium flow ⋮ Discontinuous Galerkin Methods for Time-Dependent Convection Dominated Problems: Basics, Recent Developments and Comparison with Other Methods ⋮ Implicit high-order flux reconstruction solver for high-speed compressible flows ⋮ \textit{A posteriori} correction of high-order discontinuous Galerkin scheme through subcell finite volume formulation and flux reconstruction ⋮ A fifth-order nonlinear spectral difference scheme for hyperbolic conservation laws ⋮ A High Order Stable Conservative Method for Solving Hyperbolic Conservation Laws on Arbitrarily Distributed Point Clouds

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
• On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
• 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
• Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method. II: Two dimensional case
• Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes
• On maximum-principle-satisfying high order schemes for scalar conservation laws
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
• TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
• A staggered-grid multidomain spectral method for the compressible Navier-Stokes equations
• The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
• Galerkin and discontinuous Galerkin spectral/\(hp\) methods
• Stable spectral methods for conservation laws on triangles with unstructured grids
• Parallel, adaptive finite element methods for conservation laws
• Weighted essentially non-oscillatory schemes
• Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One-dimensional case.
• 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
• A conservative staggered-grid Chebyshev multidomain method for compressible flows. II: A semi-structured method
• A conservative staggered-grid Chebyshev multidomain method for compressible flows
• Efficient implementation of weighted ENO schemes
• On the connection between the spectral volume and the spectral difference method
• Spectral difference method for unstructured grids. I. Basic formulation
• Spectral methods on arbitrary grids
• 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 $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
• The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
• TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
• Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters
• Nonoscillatory High Order Accurate Self-Similar Maximum Principle Satisfying Shock Capturing Schemes I
• An Alternative Formulation of Finite Difference Weighted ENO Schemes with Lax--Wendroff Time Discretization for Conservation Laws
• A Comparison of Troubled-Cell Indicators for Runge--Kutta Discontinuous Galerkin Methods Using Weighted Essentially Nonoscillatory Limiters
• A problem-independent limiter for high-order Runge-Kutta discontinuous Galerkin methods
• 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