A Moment Limiter for the Discontinuous Galerkin Method on Unstructured Triangular Meshes

DOI10.1137/17M1159038zbMath1414.65020OpenAlexW2911425791WikidataQ128428192 ScholiaQ128428192MaRDI QIDQ4623141

Lilia Krivodonova, Andrew Giuliani

Publication date: 19 February 2019

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

Full work available at URL: https://doi.org/10.1137/17m1159038

zbMATH Keywords

limitersunstructured meshesdiscontinuous Galerkin

Mathematics Subject Classification ID

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

Related Items (6)

A high-order moment limiter for the discontinuous Galerkin method on triangular meshes ⋮ Non-linear Boltzmann equation on hybrid-unstructured non-conforming multi-domains ⋮ A robust CFL condition for the discontinuous Galerkin method on triangular meshes ⋮ A moment limiter for the discontinuous Galerkin method on unstructured tetrahedral meshes ⋮ A new perspective on flux and slope limiting in discontinuous Galerkin methods for hyperbolic conservation laws ⋮ Entropy stabilization and property-preserving limiters for \(\mathbb{P}_1\) discontinuous Galerkin discretizations of scalar hyperbolic problems

Cites Work

• Unnamed Item
• Multislope MUSCL method for general unstructured meshes
• Monoslope and multislope MUSCL methods for unstructured meshes
• High resolution schemes for hyperbolic conservation laws
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Parallel, adaptive finite element methods for conservation laws
• Analysis of slope limiters on unstructured triangular meshes
• Spatial and modal superconvergence of the discontinuous Galerkin method for linear equations
• Limiters for high-order discontinuous Galerkin methods
• Two-Dimensional Slope Limiters for Finite Volume Schemes on Non-Coordinate-Aligned Meshes
• On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes
• The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• On the Accuracy of Stable Schemes for 2D Scalar Conservation Laws
• Convenient Total Variation Diminishing Conditions for Nonlinear Difference Schemes
• New two‐dimensional slope limiters for discontinuous Galerkin methods on arbitrary meshes

This page was built for publication: A Moment Limiter for the Discontinuous Galerkin Method on Unstructured Triangular Meshes