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Adjoint-based airfoil optimization with discretization error control

Hartmann, Ralf and Li, Ding (2015) Adjoint-based airfoil optimization with discretization error control. International Journal for Numerical Methods in Fluids, 77 (1), pp. 1-17. Wiley. doi: 10.1002/fld.3971. ISSN 0271-2091.

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Official URL: http://onlinelibrary.wiley.com/doi/10.1002/fld.3971/abstract


In this article, we develop a new airfoil shape optimization algorithm based on higher order adaptive Discontinuous Galerkin methods with control of the discretization error. Each flow solution in the optimization loop is computed on a sequence of goal-oriented h- or hp-refined meshes until the error estimation of the discretization error in a flow-related target quantity (including the drag and lift coefficients) is below a prescribed tolerance. Discrete adjoint solutions are computed and employed for the multi-target error estimation and adaptive mesh refinement. Furthermore, discrete adjoint solutions are employed for evaluating the gradients of the objective function used in the Conjugate Gradients (CG) optimization algorithm. Furthermore, an extension of the adjoint-based gradient evaluation to the case of target lift flow computations is employed. The proposed algorithm is demonstrated on an inviscid transonic flow around the RAE2822 where the shape is optimized to minimize the drag at a given constant lift and airfoil thickness. The effect of the accuracy of the underlying flow solutions on the quality of the optimized airfoil shapes is investigated.

Item URL in elib:https://elib.dlr.de/99966/
Document Type:Article
Title:Adjoint-based airfoil optimization with discretization error control
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Hartmann, RalfRalf.Hartmann (at) dlr.deUNSPECIFIED
Li, DingDing.Li (at) dlr.deUNSPECIFIED
Date:10 January 2015
Journal or Publication Title:International Journal for Numerical Methods in Fluids
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
DOI :10.1002/fld.3971
Page Range:pp. 1-17
EditorsEmailEditor's ORCID iD
Keywords:Discontinuous Galerkin methods, optimization, error estimation, adaptive mesh refinement, hp-refinement, adjoint approach
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 (old)
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 08:32
Last Modified:10 May 2016 23:36

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