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Error estimation and adjoint based refinement for an adjoint consistent DG discretization of the compressible Euler equations

Hartmann, Ralf (2006) Error estimation and adjoint based refinement for an adjoint consistent DG discretization of the compressible Euler equations. Int. J. Computing Science and Mathematics, 1 (2-4), pp. 207-220.

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Official URL: http://www.inderscience.com/search/index.php?action=record&rec_id=16532&prevQuery=&ps=10&m=or

Abstract

Adjoint consistency - in addition to consistency - is the key requirement for discontinuous Galerkin discretizations to be of optimal order in L<sup>2</sup> as well as measured in terms of target functionals. We provide a general framework for analyzing adjoint consistency and introduce consistent modifications of target functionals. This framework is then used to derive an adjoint consistent discontinuous Galerkin discretization of the compressible Euler equations. We demonstrate the effect of adjoint consistency on the accuracy of the flow solution, the smoothness of the discrete adjoint solution and the <em>a posteriori</em> error estimation with respect to aerodynamical force coefficients on locally refined meshes.

Item URL in elib:https://elib.dlr.de/50723/
Document Type:Article
Title:Error estimation and adjoint based refinement for an adjoint consistent DG discretization of the compressible Euler equations
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Hartmann, RalfUNSPECIFIEDUNSPECIFIED
Date:2006
Journal or Publication Title:Int. J. Computing Science and Mathematics
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Volume:1
Page Range:pp. 207-220
Status:Published
Keywords:Discontinuous Galerkin discretization, adjoint consistency, compressible Euler equations, continuous adjoint problem, discrete adjoint problem
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:09 Jan 2008
Last Modified:31 Jul 2019 19:20

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