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Preconditioning the pressure tracking in fluid dynamics by shape Hessian information

Eppler, Karsten and Schmidt, Stephan and Schulz, Volker and Ilic, Caslav (2009) Preconditioning the pressure tracking in fluid dynamics by shape Hessian information. Journal of Optimization Theory and Applications, 141 (3), pp. 513-531. Springer. DOI: 10.1007/s10957-008-9507-y


Official URL: http://www.springerlink.com/content/mphg728053270506/


Potential flow pressure matching is a classical inverse design aerodynamic problem. The resulting loss of regularity during the optimization poses challenges for shape optimization with normal perturbation of the surface mesh nodes. Smoothness is not enforced by the parameterization but by a proper choice of the scalar product based on the shape Hessian, which is derived in local coordinates for starshaped domains. Significant parts of the Hessian are identified and combined with an aerodynamic panel solver. The resulting shape Hessian preconditioner is shown to lead to superior convergence properties of the resulting optimization method. Additionally, preconditioning gives the potential for level independent convergence.

Item URL in elib:https://elib.dlr.de/75978/
Document Type:Article
Title:Preconditioning the pressure tracking in fluid dynamics by shape Hessian information
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Eppler, KarstenTechnical University DresdenUNSPECIFIED
Schmidt, StephanUniversity of TrierUNSPECIFIED
Schulz, VolkerUniversity of TrierUNSPECIFIED
Ilic, CaslavGerman Aerospace Center (DLR)UNSPECIFIED
Date:January 2009
Journal or Publication Title:Journal of Optimization Theory and Applications
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:Yes
DOI :10.1007/s10957-008-9507-y
Page Range:pp. 513-531
Series Name:Mathematics and Statistics
Keywords:shape optimization, aerodynamic optimization, Hadamard gradient, shape Hessian, preconditioning
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 - Flight Physics (old)
Location: Braunschweig
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > Transport Aircraft
Deposited By: Ilic, Caslav
Deposited On:14 Jun 2012 10:01
Last Modified:31 Jul 2019 19:36

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