Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations I: Method Formulation
Year: 2006
International Journal of Numerical Analysis and Modeling, Vol. 3 (2006), Iss. 1 : pp. 1–20
Abstract
In this article we consider the development of discontinuous Galerkin finite element methods for the numerical approximation of the compressible Navier-Stokes equations. For the discretization of the leading order terms, we propose employing the generalization of the symmetric version of the interior penalty method, originally developed for the numerical approximation of linear self-adjoint second-order elliptic partial differential equations. In order to solve the resulting system of nonlinear equations, we exploit a (damped) Newton-GMRES algorithm. Numerical experiments demonstrating the practical performance of the proposed discontinuous Galerkin method with higher-order polynomials are presented.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2006-IJNAM-887
International Journal of Numerical Analysis and Modeling, Vol. 3 (2006), Iss. 1 : pp. 1–20
Published online: 2006-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: discontinuous Galerkin methods a posteriori error estimation adaptivity compressible Navier-Stokes equations.