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AN EFFICIENT AERODYNAMIC SHAPE OPTIMIZATION FRAMEWORK FOR ROBUST DESIGN OF AIRFOILS USING SURROGATE MODELS

Maruyama, Daigo and Liu, Dishi and Görtz, Stefan (2016) AN EFFICIENT AERODYNAMIC SHAPE OPTIMIZATION FRAMEWORK FOR ROBUST DESIGN OF AIRFOILS USING SURROGATE MODELS. In: ECCOMAS Congress 2016 on Computational Methods in Applied Sciences and Engineering. National Technical University of Athens (NTUA) Greeece. ECCOMAS Congress 2016, 5-10 June 2016, Crete, Greece.

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Abstract

This paper deals with developing an efficient Robust Design Optimization (RDO) framework. The goal is to obtain an aerodynamic shape that is less sensitive to small random geometry perturbations and to uncertain operational conditions. The initial shape is the RAE2822 airfoil which is parameterized with 10 design variables. The robust design formulation used is based on an expectation measure. The goal was to minimize the sum of the mean and standard deviation of the drag coefficient of the RAE 2822 airfoil for a given nominal lift coefficient. Here, we focus on improving the methods used for computing the statistics of the aerodynamic performance of the airfoil in every optimization cycle. A relatively small number of samples is evaluated with CFD and used to construct surrogate models based on Kriging and gradient-enhanced Kriging. The aerodynamic performance statistics, which are used to evaluate the robust objective function, are estimated by using quasi Monte Carlo (QMC) sampling with many samples evaluated on the surrogate models. A large number of geometrical uncertainties is parameterized by using a truncated Karhunen-Loève expansion, which enables a significant reduction of the dimensionality of the problem and thus of the surrogate models. By varying the number of samples used to build the surrogate model and by comparing the two types of surrogate modeling methods, it is confirmed that the robust objective function can be evaluated accurately with at most 30 CFD computations and corresponding adjoint computations.

Item URL in elib:https://elib.dlr.de/110031/
Document Type:Conference or Workshop Item (Speech)
Title:AN EFFICIENT AERODYNAMIC SHAPE OPTIMIZATION FRAMEWORK FOR ROBUST DESIGN OF AIRFOILS USING SURROGATE MODELS
Authors:
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
Date:June 2016
Journal or Publication Title:ECCOMAS Congress 2016 on Computational Methods in Applied Sciences and Engineering
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Editors:
EditorsEmail
Papadrakakis, M.UNSPECIFIED
Papadopoulos, V.UNSPECIFIED
Stefanou, G.UNSPECIFIED
Plevris, V,UNSPECIFIED
Publisher:National Technical University of Athens (NTUA) Greeece
Status:Published
Keywords:Robust Design Optimization, Geometrical Uncertainties, Surrogate Model, Aerodynamic Shape Optimization, Computational Fluid Dynamics (CFD)
Event Title:ECCOMAS Congress 2016
Event Location:Crete, Greece
Event Type:international Conference
Event Dates:5-10 June 2016
Organizer:ECCOMAS (European Congress on Computational Methods in Applied Sciences and Engineering
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, L - Flight Physics
Location: Braunschweig
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > C²A²S²E - Center for Computer Applications in AeroSpace Science and Engineering
Deposited By: Seyfried, Beate
Deposited On:22 Dec 2016 15:37
Last Modified:22 Dec 2016 15:37

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