Premium
On the discontinuous Galerkin method for the numerical solution of the Navier–Stokes equations
Author(s) -
Dolejší Vít
Publication year - 2004
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.730
Subject(s) - discretization , discontinuous galerkin method , mathematics , finite element method , scalar (mathematics) , navier–stokes equations , galerkin method , compressibility , mathematical analysis , numerical analysis , convection–diffusion equation , geometry , physics , mechanics , thermodynamics
The paper deals with the use of the discontinuous Galerkin finite element method (DGFEM) for the numerical solution of viscous compressible flows. We start with a scalar convection–diffusion equation and present a discretization with the aid of the non‐symmetric variant of DGFEM with interior and boundary penalty terms. We also mention some theoretical results. Then we extend the scheme to the system of the Navier–Stokes equations and discuss the treatment of stabilization terms. Several numerical examples are presented. Copyright © 2004 John Wiley & Sons, Ltd.