A general framework to construct schemes satisfying additional conservation relations. Application to entropy conservative and entropy dissipative schemes
type: Item
instance of: scholarly article
title: A general framework to construct schemes satisfying additional conservation relations. Application to entropy conservative and entropy dissipative schemes
zbMATH Open document ID: 1415.76442
published in: Journal of Computational Physics
publication date: 2019-06-28T00:00:00Z
full work available at URL: https://arxiv.org/abs/1711.10358
full work available at URL: abgrall ageneralframework.pdf
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35L40
zbMATH DE Number: 7074841
zbMATH Keywords: conservation
zbMATH Keywords: entropy stable scheme
zbMATH Keywords: residual distribution scheme
zbMATH Keywords: discontinuous Galerkin scheme
zbMATH Keywords: finite element method
author: R. Abgrall
MaRDI profile type: Publication
OpenAlex ID: W2768176009
arXiv ID: 1711.10358
cites work: Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws
cites work: Entropy stable shock capturing space-time discontinuous Galerkin schemes for systems of conservation laws
cites work: A skew-symmetric discontinuous Galerkin spectral element discretization and its relation to SBP-SAT finite difference methods
cites work: Multidimensional Summation-by-Parts Operators: General Theory and Application to Simplex Elements
cites work: Handbook of numerical methods for hyperbolic problems. Basic and fundamental issues
cites work: The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I
cites work: Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
cites work: On a Cell Entropy Inequality for Discontinuous Galerkin Methods
cites work: A MUSCL method satisfying all the numerical entropy inequalities
cites work: Fully Discrete, Entropy Conservative Schemes of ArbitraryOrder
cites work: Solutions of multi-dimensional hyperbolic systems of conservation laws by square entropy condition satisfying discontinuous Galerkin method
cites work: Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks
cites work: Entropy viscosity method for nonlinear conservation laws
cites work: Summation-by-parts operators for correction procedure via reconstruction
cites work: Entropy stable staggered grid discontinuous spectral collocation methods of any order for the compressible Navier-Stokes equations
cites work: Review of summation-by-parts schemes for initial-boundary-value problems
cites work: Entropy-stable schemes for the Euler equations with far-field and wall boundary conditions
cites work: Entropy stable schemes for compressible Euler equations
cites work: Entropy Stable Scheme on Two-Dimensional Unstructured Grids for Euler Equations
cites work: A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations
cites work: Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations
cites work: Q4162607
cites work: Theory and practice of finite elements.
cites work: Construction of very high order residual distribution schemes for steady inviscid flow problems on hybrid unstructured meshes
cites work: High-order preserving residual distribution schemes for advection-diffusion scalar problems on arbitrary grids
cites work: A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics
cites work: Edge stabilization for Galerkin approximations of convection-diffusion-reaction problems
cites work: Essentially non-oscillatory residual distribution schemes for hyperbolic problems
cites work: High-order fluctuation schemes on triangular meshes
cites work: Q3124139
cites work: Staggered Grid Residual Distribution Scheme for Lagrangian Hydrodynamics
cites work: A high-order nonconservative approach for hyperbolic equations in fluid dynamics
cites work: High order schemes for hyperbolic problems using globally continuous approximation and avoiding mass matrices
cites work: Explicit Runge-Kutta residual distribution schemes for time dependent problems: second order case
cites work: Q4589025
Wikidata QID: Q129612962
DOI: 10.1016/J.JCP.2018.06.031
description: scientific article