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Investigation on Adjoint Based Gradient Computations for Realistic 3d Aero-Optimization

Widhalm, Markus and Brezillon, Joel and Caslav, Ilic and Leicht, Tobias (2010) Investigation on Adjoint Based Gradient Computations for Realistic 3d Aero-Optimization. 13th AIAA/ISSMO Multidisciplinary Analysis Optimization Conference, 13 - 15 Sep 2010, Fort Worth, Texas.



A discrete adjoint method for e�ciently computing gradients for aerodynamic shape op- timizations is presented. The chain itself involves an unstructured mesh Reynolds-Averaged Navier-Stokes solver, and is suitable for the optimization of complex geometries in three dimensions. In addition to the discrete ow adjoint the method introduces a second ad- joint equation for the mesh deformation. Using the adjoint chain it is possible to evaluate the gradients of a cost function for the cost of one adjoint ow solution and one adjoint volume mesh deformation, without performing any (forward) mesh deformation. By choos- ing a suitable mesh deformation operator, like linear elasticity, the chain may be readily constructed by hand. Furthermore, this adjoint chain can be subsequently used with pa- rameterized surface grids. The accuracy and the computational savings of the resulting procedure is examined for the gradient-based shape optimization of a wing in inviscid ow.

Item URL in elib:https://elib.dlr.de/65301/
Document Type:Conference or Workshop Item (Paper)
Title:Investigation on Adjoint Based Gradient Computations for Realistic 3d Aero-Optimization
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Widhalm, Markusmarkus.widhalm (at) dlr.deUNSPECIFIED
Brezillon, Joeljoel.brezillon (at) dlr.deUNSPECIFIED
Caslav, Iliccaslav.ilic (at) dlr.deUNSPECIFIED
Leicht, Tobiastobias.leicht (at) dlr.deUNSPECIFIED
Date:13 September 2010
Refereed publication:No
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:No
Keywords:Gradient based optimization, Shape derivatives
Event Title:13th AIAA/ISSMO Multidisciplinary Analysis Optimization Conference
Event Location:Fort Worth, Texas
Event Type:international Conference
Event Dates:13 - 15 Sep 2010
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 - Simulation & Validation (old)
Location: Braunschweig , Göttingen
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > CASE
Deposited By: Widhalm, Markus
Deposited On:23 Sep 2010 15:49
Last Modified:31 Jul 2019 19:28

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