A numerical analysis of the nodal discontinuous Galerkin scheme via flux reconstruction for the advection-diffusion equation
type: Item
instance of: scholarly article
title: A numerical analysis of the nodal discontinuous Galerkin scheme via flux reconstruction for the advection-diffusion equation
zbMATH Open document ID: 1390.76367
author: Jerry Watkins
author: Kartikey Asthana
author: Antony Jameson
published in: Computers and Fluids
publication date: 2018-06-26T00:00:00Z
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 6894323
zbMATH Keywords: high-order
zbMATH Keywords: flux reconstruction
zbMATH Keywords: discontinuous Galerkin
zbMATH Keywords: advection-diffusion
zbMATH Keywords: CFL
zbMATH Keywords: dispersion
MaRDI profile type: Publication
full work available at URL: j.compfluid.2016.09.013
OpenAlex ID: W2519627074
cites work: Q4952239
cites work: A conservative staggered-grid Chebyshev multidomain method for compressible flows
cites work: Spectral difference method for unstructured grids. I. Basic formulation
cites work: A new class of high-order energy stable flux reconstruction schemes
cites work: On the non-linear stability of flux reconstruction schemes
cites work: Non-linear stabilization of high-order flux reconstruction schemes via Fourier-spectral filtering
cites work: A new class of high-order energy stable flux reconstruction schemes for triangular elements
cites work: Energy stable flux reconstruction schemes for advection-diffusion problems on triangles
cites work: Energy stable flux reconstruction schemes for advection-diffusion problems on tetrahedra
cites work: A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids
cites work: An analysis of the discontinuous Galerkin method for wave propagation problems
cites work: Linear dispersion-diffusion analysis and its application to under-resolved turbulence simulations using discontinuous Galerkin spectral/\(hp\) methods
cites work: Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
cites work: CFL conditions for Runge-Kutta discontinuous Galerkin methods on triangular grids
cites work: Insights from von Neumann analysis of high-order flux reconstruction schemes
cites work: High-order flux reconstruction schemes with minimal dispersion and dissipation
cites work: A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
cites work: The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
cites work: An analysis of the minimal dissipation local discontinuous Galerkin method for convection-diffusion problems
cites work: Compact finite difference schemes with spectral-like resolution
cites work: A Numerical Method for Solving the Equations of Compressible Viscous Flow
DOI: 10.1016/J.COMPFLUID.2016.09.013
description: scientific article; zbMATH DE number 6894323