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Symmetric Interior Penalty DG Methods for the Compressible Navier--Stokes Equations I: Method Formulation

Hartmann, Ralf and Houston, Paul (2006) Symmetric Interior Penalty DG Methods for the Compressible Navier--Stokes Equations I: Method Formulation. International Journal of Numerical Analysis & Modeling, 3 (1), pp. 1-20.

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Official URL: http://www.math.ualberta.ca/ijnam/Volume-3-2006/No-1-06/2006-01-01.pdf

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.

Item URL in elib:https://elib.dlr.de/44199/
Document Type:Article
Title:Symmetric Interior Penalty DG Methods for the Compressible Navier--Stokes Equations I: Method Formulation
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Hartmann, RalfUNSPECIFIEDUNSPECIFIED
Houston, PaulUniversity of NottinghamUNSPECIFIED
Date:2006
Journal or Publication Title:International Journal of Numerical Analysis & Modeling
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Volume:3
Page Range:pp. 1-20
Status:Published
Keywords:Finite element methods, discontinuous Galerkin methods, compressible Navier--Stokes equations
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research (old)
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Concepts & Integration (old)
Location: Braunschweig
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > CASE
Deposited By: Hartmann, Dr.rer.nat. Ralf
Deposited On:21 Jul 2006
Last Modified:31 Jul 2019 19:17

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