A kinetic energy preserving DG scheme based on Gauss-Legendre points
type: Item
instance of: scholarly article
title: A kinetic energy preserving DG scheme based on Gauss-Legendre points
author: Sigrun Ortleb
published in: Journal of Scientific Computing
publication date: 2017-08-11T00:00:00Z
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 65M08
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M70
zbMATH DE Number: 6759489
zbMATH Keywords: discontinuous Galerkin
zbMATH Keywords: Gauss-Legendre nodes
zbMATH Keywords: kinetic energy preserving
zbMATH Keywords: skew-symmetric
zbMATH Keywords: summation-by-parts
zbMATH Keywords: compressible flow
MaRDI profile type: Publication
full work available at URL: s10915-016-0334-2
OpenAlex ID: W2563998525
cites work: Connections between the filtered discontinuous Galerkin method and the flux reconstruction approach to high order discretizations
cites work: A numerical investigation of a spectral‐type nodal collocation discontinuous Galerkin approximation of the Euler and Navier–Stokes equations
cites work: Numerical evaluation of two discontinuous Galerkin methods for the compressible Navier–Stokes equations
cites work: A stable and conservative interface treatment of arbitrary spatial accuracy
cites work: Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations
cites work: A generalized framework for nodal first derivative summation-by-parts operators
cites work: Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: theory and boundary conditions
cites work: A skew-symmetric discontinuous Galerkin spectral element discretization and its relation to SBP-SAT finite difference methods
cites work: A kinetic energy preserving nodal discontinuous Galerkin spectral element method
cites work: A Comparison of the Dispersion and Dissipation Errors of Gauss and Gauss–Lobatto Discontinuous Galerkin Spectral Element Methods
cites work: Multidimensional Summation-by-Parts Operators: General Theory and Application to Simplex Elements
cites work: Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks
cites work: Q2481380
cites work: On the quadrature and weak form choices in collocation type discontinuous Galerkin spectral element methods
cites work: Q4127319
cites work: Skew-symmetric form of convective terms and fully conservative finite difference schemes for variable density low-Mach number flows
cites work: Fully conservative higher order finite difference schemes for incompressible flow
cites work: Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation
cites work: Finite volume methods, unstructured meshes and strict stability for hyperbolic problems
cites work: Summation-by-parts operators for correction procedure via reconstruction
cites work: High-order methods for decaying two-dimensional homogeneous isotropic turbulence
cites work: A staggered conservative scheme for every Froude number in rapidly varied shallow water flows
cites work: A fully discrete, kinetic energy consistent finite volume scheme for compressible flows
cites work: Review of summation-by-parts schemes for initial-boundary-value problems
cites work: Short note on the mass matrix for Gauss-Lobatto grid points
cites work: Mass, momentum and energy conserving (MaMEC) discretizations on general grids for the compressible Euler and shallow water equations
cites work: Symmetry-preserving discretization of turbulent flow.
DOI: 10.1007/S10915-016-0334-2
description: scientific article; zbMATH DE number 6759489