An efficient reconstruction algorithm for diffusion on triangular grids using the nodal discontinuous Galerkin method

DOI10.1016/j.cpc.2021.107873zbMath1529.76056arXiv1912.06221MaRDI QIDQ6104190

Yang Song, Bhuvana Srinivasan

Publication date: 5 June 2023

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.06221

zbMATH Keywords

convection-diffusion equationaffine reconstructed nodal methodhigh-energy-density hydrodynamicsunstructured discontinuous Galerkin finite element method

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Diffusion and convection (76R99)

Cites Work

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• Cross-code comparisons of mixing during the implosion of dense cylindrical and spherical shells
• Reconstructed discontinuous Galerkin methods for linear advection-diffusion equations based on first-order hyperbolic system
• A contribution to the construction of diffusion fluxes for finite volume and discontinuous Galerkin schemes
• A discontinuous \(hp\) finite element method for diffusion problems
• The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
• High-order accurate discontinuous finite element solution of the 2D Euler equations
• A ghost-cell immersed boundary method for flow in complex geometry.
• A reconstructed discontinuous Galerkin method for the compressible Navier-Stokes equations on three-dimensional hybrid grids
• A reconstructed direct discontinuous Galerkin method for simulating the compressible laminar and turbulent flows on hybrid grids
• The compact gradient recovery discontinuous Galerkin method for diffusion problems
• A reconstructed discontinuous Galerkin method for the compressible Navier-Stokes equations on arbitrary grids
• An Interior Penalty Finite Element Method with Discontinuous Elements
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems
• The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems
• Numerical Methods for Two-Fluid Dispersive Fast MHD Phenomena
• Geometry. I, II. Transl. from the French by M. Cole and S. Levy