High-order Runge-Kutta discontinuous Galerkin methods with multi-resolution WENO limiters for solving steady-state problems
type: Item
instance of: scholarly article
title: High-order Runge-Kutta discontinuous Galerkin methods with multi-resolution WENO limiters for solving steady-state problems
zbMATH Open document ID: 1475.65140
author: Jun Zhu
author: Chi-Wang Shu
author: Jianxian Qiu
published in: Applied Numerical Mathematics
publication date: 2021-06-03T00:00:00Z
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35Q31
zbMATH DE Number: 7354401
zbMATH Keywords: multi-resolution WENO limiter
zbMATH Keywords: RKDG method
zbMATH Keywords: slight post-shock oscillation
zbMATH Keywords: machine zero
zbMATH Keywords: steady-state problem
MaRDI profile type: Publication
full work available at URL: j.apnum.2021.03.011
OpenAlex ID: W3138854715
cites work: A sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes
cites work: Parallel, adaptive finite element methods for conservation laws
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: A central WENO scheme for solving hyperbolic conservation laws on non-uniform meshes
cites work: High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
cites work: The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
cites work: TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
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: 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: Arbitrary high order \(P_{N}P_{M}\) schemes on unstructured meshes for the compressible Navier-Stokes equations
cites work: A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
cites work: \textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
cites work: Weighted essentially non-oscillatory schemes for the interpolation of mean values on unstructured grids
cites work: A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws
cites work: High resolution schemes for hyperbolic conservation laws
cites work: AWeighted Runge-Kutta Discontinuous Galerkin Method for 3D Acoustic and Elastic Wave-Field Modeling
cites work: Weighted essentially non-oscillatory schemes on triangular meshes
cites work: Q3947360
cites work: Efficient implementation of weighted ENO schemes
cites work: Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws.
cites work: Central WENO schemes for hyperbolic systems of conservation laws
cites work: Compact Central WENO Schemes for Multidimensional Conservation Laws
cites work: Weighted essentially non-oscillatory schemes
cites work: Reconstructed discontinuous Galerkin methods for linear advection-diffusion equations based on first-order hyperbolic system
cites work: A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids
cites work: A discontinuous Galerkin method based on a Taylor basis for the compressible flows on arbitrary grids
cites work: A reconstructed discontinuous Galerkin method for the compressible Navier-Stokes equations on arbitrary grids
cites work: A Hermite WENO reconstruction-based discontinuous Galerkin method for the Euler equations on tetrahedral grids
cites work: A reconstructed discontinuous Galerkin method based on a hierarchical WENO reconstruction for compressible flows on tetrahedral grids
cites work: Numerical techniques for global atmospheric models.
cites work: High Resolution Schemes and the Entropy Condition
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: Power ENO methods: A fifth-order accurate weighted power ENO method.
cites work: Q4247279
cites work: Efficient implementation of essentially nonoscillatory shock-capturing schemes
cites work: Self-Similar Solutions for Weak Shock Reflection
cites work: Self-Similar Solutions for the Triple Point Paradox in Gasdynamics
cites work: Convergence to steady state solutions of the Euler equations on unstructured grids with limiters
cites work: High Order Fixed-Point Sweeping WENO Methods for Steady State of Hyperbolic Conservation Laws and Its Convergence Study
cites work: Implicit total variation diminishing (TVD) schemes for steady-state calculations
cites work: Improvement of convergence to steady state solutions of Euler equations with the WENO Schemes
cites work: A class of hybrid DG/FV methods for conservation laws. I: Basic formulation and one-dimensional systems
cites work: A class of hybrid DG/FV methods for conservation laws. II: Two-dimensional cases
cites work: A new smoothness indicator for the WENO schemes and its effect on the convergence to steady state solutions
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: Convergence to steady-state solutions of the new type of high-order multi-resolution WENO schemes: a numerical study
DOI: 10.1016/J.APNUM.2021.03.011
description: scientific article; zbMATH DE number 7354401