Affine-invariant WENO operator on nonuniform Cartesian mesh with application to finite volume and discontinuous Galerkin methods
type: Item
instance of: scholarly article
title: Affine-invariant WENO operator on nonuniform Cartesian mesh with application to finite volume and discontinuous Galerkin methods
author: Xiao-Shuo Xiang
author: Baoshan Wang
author: Zhen Gao
author: Peng Li
published in: Journal of Scientific Computing
publication date: 2025-01-17T00:00:00Z
Mathematics Subject Classification ID: 65Mxx
Mathematics Subject Classification ID: 35Lxx
Mathematics Subject Classification ID: 76Mxx
zbMATH DE Number: 7969174
zbMATH Keywords: affine-invariant
zbMATH Keywords: WENO
zbMATH Keywords: finite volume scheme
zbMATH Keywords: DG method
zbMATH Keywords: nonuniform mesh
MaRDI profile type: Publication
cites work: An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
cites work: A problem-independent limiter for high-order Runge-Kutta discontinuous Galerkin methods
cites work: High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
cites work: TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
cites work: The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
cites work: TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
cites work: The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
cites work: The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
cites work: Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
cites work: A physical-constraint-preserving finite volume WENO method for special relativistic hydrodynamics on unstructured meshes
cites work: A novel and robust scale-invariant WENO scheme for hyperbolic conservation laws
cites work: High order weighted essentially nonoscillatory WENO-\(\eta\) schemes for hyperbolic conservation laws
cites work: High order bound- and positivity-preserving finite difference affine-invariant AWENO scheme for the five-equation model of two-medium flows
cites work: High order well-balanced positivity-preserving scale-invariant AWENO scheme for Euler systems with gravitational field
cites work: Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
cites work: Entropy stable shock capturing space-time discontinuous Galerkin schemes for systems of conservation laws
cites work: An adaptive central-upwind weighted essentially non-oscillatory scheme
cites work: Efficient implementation of weighted ENO schemes
cites work: An Alternative Formulation of Finite Difference Weighted ENO Schemes with Lax--Wendroff Time Discretization for Conservation Laws
cites work: New low-dissipation central-upwind schemes
cites work: Weak solutions of nonlinear hyperbolic equations and their numerical computation
cites work: Solution of Two-Dimensional Riemann Problems of Gas Dynamics by Positive Schemes
cites work: Central WENO schemes for hyperbolic systems of conservation laws
cites work: Scale-invariant multi-resolution alternative WENO scheme for the Euler equations
cites work: Sensitivity parameter-independent characteristic-wise well-balanced finite volume WENO scheme for the Euler equations under gravitational fields
cites work: A \(p\)-weighted limiter for the discontinuous Galerkin method on one-dimensional and two-dimensional triangular grids
cites work: Finite difference Hermite WENO schemes for hyperbolic conservation laws
cites work: Finite difference Hermite WENO schemes for conservation laws. II: An alternative approach
cites work: Weighted essentially non-oscillatory schemes
cites work: An Essentially Oscillation-Free Discontinuous Galerkin Method for Hyperbolic Systems
cites work: An Oscillation-free Discontinuous Galerkin Method for Scalar Hyperbolic Conservation Laws
cites work: A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids
cites work: Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One-dimensional case.
cites work: Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters
cites work: Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method. II: Two dimensional case
cites work: Q4996509
cites work: Classification of the Riemann Problem for Two-Dimensional Gas Dynamics
cites work: A technique of treating negative weights in WENO schemes
cites work: High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
cites work: High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments
cites work: Q4247279
cites work: Efficient implementation of essentially nonoscillatory shock-capturing schemes
cites work: Finite-volume WENO schemes for three-dimensional conservation laws
cites work: Affine-invariant WENO weights and operator
cites work: Fifth-order well-balanced positivity-preserving finite difference AWENO scheme with hydrostatic reconstruction for hyperbolic chemotaxis models
cites work: Fifth order AWENO finite difference scheme with adaptive numerical diffusion for Euler equations
cites work: The numerical simulation of two-dimensional fluid flow with strong shocks
cites work: On the Order of Accuracy and Numerical Performance of Two Classes of Finite Volume WENO Schemes
cites work: A Scale-Invariant Fifth Order WCNS Scheme for Hyperbolic Conservation Laws
cites work: A new fifth order finite difference WENO scheme for solving hyperbolic conservation laws
cites work: High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters
cites work: A new type of multi-resolution WENO schemes with increasingly higher order of accuracy
cites work: High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters on triangular meshes
cites work: Runge-Kutta Discontinuous Galerkin Method with a Simple and Compact Hermite WENO Limiter
cites work: Runge-Kutta Discontinuous Galerkin Method with a Simple and Compact Hermite WENO Limiter on Unstructured Meshes
DOI: 10.1007/S10915-024-02751-7
description: scientific article; zbMATH DE number 7969174