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Reduced order modeling of steady flows subject to aerodynamic constraints

Zimmermann, Ralf and Vendl, Alexander and Görtz, Stefan (2014) Reduced order modeling of steady flows subject to aerodynamic constraints. AIAA Journal, 52 (2), pp. 255-266. American Institute of Aeronautics and Astronautics (AIAA). doi: 10.2514/1.J052208. ISSN 0001-1452.

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Official URL: http://arc.aiaa.org/toc/aiaaj/52/2


A novel reduced-order modeling method based on proper orthogonal decomposition for predicting steady, turbulent flows subject to aerodynamic constraints is introduced. Model-order reduction is achieved by replacing the governing equations of computational fluid dynamics with a nonlinear weighted least-squares optimization problem, which aims at finding the flow solution restricted to the low-order proper orthogonal decomposition subspace that features the smallest possible computational fluid dynamics residual. As a second and new ingredient, aerodynamic constraints are added to the nonlinear least-squares problem. It is demonstrated that the constrained nonlinear least-squares problem can be solved almost as efficiently as its unconstrained counterpart and outperforms all alternative approaches known to the authors. The method is applied to data fusion, seeking to combine the use of computational fluid dynamics with wind-tunnel or flight testing to improve the prediction of aerodynamic loads. It is also demonstrated that it can be used to compute aerodynamic loads for a given aerodynamic configuration subject to aerodynamic design or performance targets. Exemplary results considering both applications are computed for the NACA 64A010 airfoil and the DLR-F15 high-lift configuration.

Item URL in elib:https://elib.dlr.de/88098/
Document Type:Article
Title:Reduced order modeling of steady flows subject to aerodynamic constraints
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Zimmermann, RalfTU BraunschweigUNSPECIFIED
Vendl, AlexanderTU BraunschweigUNSPECIFIED
Date:February 2014
Journal or Publication Title:AIAA Journal
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
Page Range:pp. 255-266
Publisher:American Institute of Aeronautics and Astronautics (AIAA)
Keywords:reduced order modeling, proper orthogonal decomoposition, constraints, loads, aerodynamics, CFD
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
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > C²A²S²E - Center for Computer Applications in AeroSpace Science and Engineering
Deposited By: Görtz, Stefan
Deposited On:10 Feb 2014 11:41
Last Modified:08 Mar 2018 18:42

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