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Generalized adjoint consistent treatment of wall boundary conditions for compressible flows

Hartmann, Ralf and Leicht, Tobias (2015) Generalized adjoint consistent treatment of wall boundary conditions for compressible flows. Journal of Computational Physics, 300, pp. 754-778. Elsevier. DOI: 10.1016/j.jcp.2015.07.042 ISSN 0021-9991

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Official URL: http://www.sciencedirect.com/science/article/pii/S0021999115004878

Abstract

In this article, we revisit the adjoint consistency analysis of Discontinuous Galerkin discretizations of the compressible Euler and Navier-Stokes equations with application to the Reynolds-averaged Navier-Stokes and k-ω turbulence equations. Here, particular emphasis is laid on the discretization of wall boundary conditions. While previously only one specific combination of discretizations of wall boundary conditions and of aerodynamic force coefficients has been shown to give an adjoint consistent discretization, in this article we generalize this analysis and provide a discretization of the force coefficients for any consistent discretization of wall boundary conditions. Furthermore, we demonstrate that a related evaluation of the cp- and cf-distributions is required. The freedom gained in choosing the discretization of boundary conditions without loosing adjoint consistency is used to devise a new adjoint consistent discretization including numerical fluxes on the wall boundary which is more robust than the adjoint consistent discretization known up to now. While this work is presented in the framework of Discontinuous Galerkin discretizations, the insight gained is also applicable to (and thus valuable for) other discretization schemes. In particular, the discretization of integral quantities, like the drag, lift and moment coefficients, as well as the discretization of local quantities at the wall like surface pressure and skin friction should follow as closely as possible the discretization of the flow equations and boundary conditions at the wall boundary.

Item URL in elib:https://elib.dlr.de/99975/
Document Type:Article
Title:Generalized adjoint consistent treatment of wall boundary conditions for compressible flows
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Hartmann, RalfRalf.Hartmann (at) dlr.deUNSPECIFIED
Leicht, TobiasTobias.Leicht (at) dlr.deUNSPECIFIED
Date:1 November 2015
Journal or Publication Title:Journal of Computational Physics
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:300
DOI :10.1016/j.jcp.2015.07.042
Page Range:pp. 754-778
Editors:
EditorsEmail
Abgrall, RemiUNSPECIFIED
Publisher:Elsevier
ISSN:0021-9991
Status:Published
Keywords:Adjoint consistency, boundary conditions, compressible flows, Discontinuous Galerkin methods
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:fixed-wing aircraft
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Simulation and Validation
Location: Braunschweig
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > C²A²S²E - Center for Computer Applications in AeroSpace Science and Engineering
Deposited By: Hartmann, Dr.rer.nat. Ralf
Deposited On:26 Nov 2015 08:34
Last Modified:10 May 2016 23:36

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