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Comparing Surrogates for Estimating Aerodynamic Uncertainties of Airfoils

Maruyama, Daigo and Liu, Dishi and Görtz, Stefan (2019) Comparing Surrogates for Estimating Aerodynamic Uncertainties of Airfoils. In: Uncertainty Management for Robust Industrial Design in Aeronautics Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 140. Springer International Publishing AG. pp. 213-228. ISBN 978-3-319-77766-5. ISSN 1612-2909

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Official URL: https://www.springer.com/gp/book/9783319777665


Different surrogate models are compared in terms of their efficiency in estimating statistics of aerodynamic coefficients of the RAE2822 airfoil due to geometric input uncertainties. A comparison with direct integration and polynomial chaos methods is also performed. The aerodynamic coefficients and their partial gradients with respect to the uncertain input parameters are computed with a CFD solver and its adjoint counterpart. Reference statistics are computed in order to quantify the error of the different methods. The efficiency of the different methods is discussed in terms of the error in estimating a statistical quantity as a function of the number of CFD (and adjoint) computations used to construct the surrogate model. The results show that gradient-enhanced surrogate methods achieve better accuracy than direct integration methods for the same computational cost. Sampling techniques are discussed in the context of estimating stochastic quantities used for risk management. While the mean and standard deviation can be estimated by sampling the input parameters by distributing the samples according to input probability density function (mean-risk), an expected improvement based adaptive sampling technique leads more accurate results at the same computational costs the maximum or minimum value is sought after (worst-case risk). This fact indicates that advanced sampling techniques are required for evaluating both the mean risk and worst-case risk at the same time.

Item URL in elib:https://elib.dlr.de/125228/
Document Type:Contribution to a Collection
Title:Comparing Surrogates for Estimating Aerodynamic Uncertainties of Airfoils
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Maruyama, Daigodaigo.maruyama (at) dlr.deUNSPECIFIED
Liu, Dishidishi.liu (at) dlr.deUNSPECIFIED
Görtz, StefanStefan.Goertz (at) dlr.deUNSPECIFIED
Journal or Publication Title:Uncertainty Management for Robust Industrial Design in Aeronautics
Refereed publication:No
Open Access:No
Gold Open Access:No
In ISI Web of Science:No
DOI :10.1007/978-3-319-77767-2
Page Range:pp. 213-228
Hirsch, CharlesNUMECA Brüssel
Wunsch, DirkNUMECA Brüssel
Szumbarski, JacekUnivesity of Technology, Warschau
Laniewski-Wollk, LukaszUniverstiy of Technology, Warschau
Pons-Prats, JordiCIMNE, Barcelona
Publisher:Springer International Publishing AG
Series Name:Notes on Numerical Fluid Mechanics and Multidisciplinary Design
Keywords:Surrogate, Uncertainty Quantification, Aerodynamics, Statistics, Adaptive Sampling
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 for Aerodynamics and Flow Technology > CASE, BS
Deposited By: Seyfried, Beate
Deposited On:03 Jan 2019 12:39
Last Modified:03 Jan 2019 12:39

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