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Adaptive discontinuous Galerkin methods with shock-capturing for the compressible Navier-Stokes equations

Hartmann, Ralf (2006) Adaptive discontinuous Galerkin methods with shock-capturing for the compressible Navier-Stokes equations. International Journal for Numerical Methods in Fluids, 51 (9-10), pp. 1131-1156. John Wiley & Sons.

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Official URL: http://www3.interscience.wiley.com/cgi-bin/abstract/112221421/ABSTRACT

Abstract

We present the Interior Penalty discontinuous Galerkin method for the compressible Navier-Stokes equations. Shock-capturing is used to reduce over-shoots at discontinuities and sharp gradients. This stabilization introduces artificial viscosity at places of large local residuals, but preserves conservation and Galerkin orthogonality of the DG method. Based on this discretization we derive <em>a posteriori</em> error estimates for the error measured in terms of arbitrary target functionals, like e.g. the drag and lift coefficients of an airfoil immersed in a viscous or inviscid fluid. The performance of the nonlinear solution process, the <em>a posteriori</em> error estimation and an adaptive mesh refinement specially tailored for the accurate computation of the force coefficients are demonstrated for supersonic laminar flows around the NACA0012 airfoil.

Item URL in elib:https://elib.dlr.de/44200/
Document Type:Article
Title:Adaptive discontinuous Galerkin methods with shock-capturing for the compressible Navier-Stokes equations
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Hartmann, RalfUNSPECIFIEDUNSPECIFIED
Date:2006
Journal or Publication Title:International Journal for Numerical Methods in Fluids
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Volume:51
Page Range:pp. 1131-1156
Publisher:John Wiley & Sons
Status:Published
Keywords:discontinuous Galerkin methods, compressible Navier-Stokes equations, shock-capturing
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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