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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Format: | Article |
Language: | English |
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Wiley
2016-01-01
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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. |
format | Article |
id | doaj-art-7804228d07784980868ef758c91d9e79 |
institution | Kabale University |
issn | 1687-5966 1687-5974 |
language | English |
publishDate | 2016-01-01 |
publisher | Wiley |
record_format | Article |
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 |