Proper Orthogonal Decomposition as Surrogate Model for Aerodynamic Optimization

A surrogate model based on the proper orthogonal decomposition is developed in order to enable fast and reliable evaluations of aerodynamic fields. The proposed method is applied to subsonic turbulent flows and the proper orthogonal decomposition is based on an ensemble of high-fidelity computations...

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Main Authors: Valentina Dolci, Renzo Arina
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:International Journal of Aerospace Engineering
Online Access:http://dx.doi.org/10.1155/2016/8092824
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author Valentina Dolci
Renzo Arina
author_facet Valentina Dolci
Renzo Arina
author_sort Valentina Dolci
collection DOAJ
description A surrogate model based on the proper orthogonal decomposition is developed in order to enable fast and reliable evaluations of aerodynamic fields. The proposed method is applied to subsonic turbulent flows and the proper orthogonal decomposition is based on an ensemble of high-fidelity computations. For the construction of the ensemble, fractional and full factorial planes together with central composite design-of-experiment strategies are applied. For the continuous representation of the projection coefficients in the parameter space, response surface methods are employed. Three case studies are presented. In the first case, the boundary shape of the problem is deformed and the flow past a backward facing step with variable step slope is studied. In the second case, a two-dimensional flow past a NACA 0012 airfoil is considered and the surrogate model is constructed in the (Mach, angle of attack) parameter space. In the last case, the aerodynamic optimization of an automotive shape is considered. The results demonstrate how a reduced-order model based on the proper orthogonal decomposition applied to a small number of high-fidelity solutions can be used to generate aerodynamic data with good accuracy at a low cost.
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institution Kabale University
issn 1687-5966
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publishDate 2016-01-01
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series International Journal of Aerospace Engineering
spelling doaj-art-7804228d07784980868ef758c91d9e792025-02-03T01:20:55ZengWileyInternational Journal of Aerospace Engineering1687-59661687-59742016-01-01201610.1155/2016/80928248092824Proper Orthogonal Decomposition as Surrogate Model for Aerodynamic OptimizationValentina Dolci0Renzo Arina1DIMEAS, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, ItalyDIMEAS, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, ItalyA surrogate model based on the proper orthogonal decomposition is developed in order to enable fast and reliable evaluations of aerodynamic fields. The proposed method is applied to subsonic turbulent flows and the proper orthogonal decomposition is based on an ensemble of high-fidelity computations. For the construction of the ensemble, fractional and full factorial planes together with central composite design-of-experiment strategies are applied. For the continuous representation of the projection coefficients in the parameter space, response surface methods are employed. Three case studies are presented. In the first case, the boundary shape of the problem is deformed and the flow past a backward facing step with variable step slope is studied. In the second case, a two-dimensional flow past a NACA 0012 airfoil is considered and the surrogate model is constructed in the (Mach, angle of attack) parameter space. In the last case, the aerodynamic optimization of an automotive shape is considered. The results demonstrate how a reduced-order model based on the proper orthogonal decomposition applied to a small number of high-fidelity solutions can be used to generate aerodynamic data with good accuracy at a low cost.http://dx.doi.org/10.1155/2016/8092824
spellingShingle Valentina Dolci
Renzo Arina
Proper Orthogonal Decomposition as Surrogate Model for Aerodynamic Optimization
International Journal of Aerospace Engineering
title Proper Orthogonal Decomposition as Surrogate Model for Aerodynamic Optimization
title_full Proper Orthogonal Decomposition as Surrogate Model for Aerodynamic Optimization
title_fullStr Proper Orthogonal Decomposition as Surrogate Model for Aerodynamic Optimization
title_full_unstemmed Proper Orthogonal Decomposition as Surrogate Model for Aerodynamic Optimization
title_short Proper Orthogonal Decomposition as Surrogate Model for Aerodynamic Optimization
title_sort proper orthogonal decomposition as surrogate model for aerodynamic optimization
url http://dx.doi.org/10.1155/2016/8092824
work_keys_str_mv AT valentinadolci properorthogonaldecompositionassurrogatemodelforaerodynamicoptimization
AT renzoarina properorthogonaldecompositionassurrogatemodelforaerodynamicoptimization