An Implementation of Self-Organizing Maps for Airfoil Design Exploration via Multi-Objective Optimization Technique

Design candidates obtained from optimization techniques may have meaningful information, which provides not only the best solution, but also a relationship between object functions and design variables. In particular, trade-off studies for optimum airfoil shape design involving various objectives an...

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Main Authors: SungKi Jung, Won Choi, Luiz S. Martins-Filho, Fernando Madeira
Format: Article
Language:English
Published: Instituto de Aeronáutica e Espaço (IAE) 2016-04-01
Series:Journal of Aerospace Technology and Management
Subjects:
Online Access:http://www.jatm.com.br/ojs/index.php/jatm/article/view/585
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author SungKi Jung
Won Choi
Luiz S. Martins-Filho
Fernando Madeira
author_facet SungKi Jung
Won Choi
Luiz S. Martins-Filho
Fernando Madeira
author_sort SungKi Jung
collection DOAJ
description Design candidates obtained from optimization techniques may have meaningful information, which provides not only the best solution, but also a relationship between object functions and design variables. In particular, trade-off studies for optimum airfoil shape design involving various objectives and design variables require the effective analysis tool to take into account a complexity between objectives and design variables. In this study, for the multiple-conflicting objectives that need to be simultaneously fulfilled, the real-coded Adaptive Range Multi-Objective Genetic Algorithm code, which represents the global and stochastic multi-objective evolutionary algorithm, was developed for an airfoil shape design. Furthermore, the PARSEC method reflecting geometrical properties of airfoil is adopted to generate airfoil shapes. In addition, the Self-Organizing Maps, based on the neural network, are used to visualize trade-offs of a relationship between the objective function space and the design variable space obtained by evolutionary computation. The Self-Organizing Maps that can be considered as data mining of the engineering design generate clusters of object functions and design variables as an essential role of trade-off studies. The aerodynamic data for all candidate airfoils is obtained through Computational Fluid Dynamics. Lastly, the relationship between the maximum lift coefficient and maximum lift-to-drag ratio as object functions and 12 airfoil design parameters based on the PARSEC method is investigated using the Self-Organizing Maps method.
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spelling doaj.art-ce3820d43fd24b128a624bc73a5901ad2022-12-22T03:41:52ZengInstituto de Aeronáutica e Espaço (IAE)Journal of Aerospace Technology and Management1984-96482175-91462016-04-018219320210.5028/jatm.v8i2.585An Implementation of Self-Organizing Maps for Airfoil Design Exploration via Multi-Objective Optimization TechniqueSungKi Jung0Won Choi1Luiz S. Martins-Filho2Fernando Madeira3Universidade Federal do ABC – Centro de Engenharia, Modelagem e Ciências Sociais AplicadasHanwha Corporation/Machinery – Aerospace DivisionUniversidade Federal do ABC – Centro de Engenharia, Modelagem e Ciências Sociais AplicadasUniversidade Federal do ABC – Centro de Engenharia, Modelagem e Ciências Sociais AplicadasDesign candidates obtained from optimization techniques may have meaningful information, which provides not only the best solution, but also a relationship between object functions and design variables. In particular, trade-off studies for optimum airfoil shape design involving various objectives and design variables require the effective analysis tool to take into account a complexity between objectives and design variables. In this study, for the multiple-conflicting objectives that need to be simultaneously fulfilled, the real-coded Adaptive Range Multi-Objective Genetic Algorithm code, which represents the global and stochastic multi-objective evolutionary algorithm, was developed for an airfoil shape design. Furthermore, the PARSEC method reflecting geometrical properties of airfoil is adopted to generate airfoil shapes. In addition, the Self-Organizing Maps, based on the neural network, are used to visualize trade-offs of a relationship between the objective function space and the design variable space obtained by evolutionary computation. The Self-Organizing Maps that can be considered as data mining of the engineering design generate clusters of object functions and design variables as an essential role of trade-off studies. The aerodynamic data for all candidate airfoils is obtained through Computational Fluid Dynamics. Lastly, the relationship between the maximum lift coefficient and maximum lift-to-drag ratio as object functions and 12 airfoil design parameters based on the PARSEC method is investigated using the Self-Organizing Maps method.http://www.jatm.com.br/ojs/index.php/jatm/article/view/585AerodynamicsAdaptive Range Multi-Object Genetic AlgorithmPARSECSelf-Organizing MapComputational Fluid Dynamics
spellingShingle SungKi Jung
Won Choi
Luiz S. Martins-Filho
Fernando Madeira
An Implementation of Self-Organizing Maps for Airfoil Design Exploration via Multi-Objective Optimization Technique
Journal of Aerospace Technology and Management
Aerodynamics
Adaptive Range Multi-Object Genetic Algorithm
PARSEC
Self-Organizing Map
Computational Fluid Dynamics
title An Implementation of Self-Organizing Maps for Airfoil Design Exploration via Multi-Objective Optimization Technique
title_full An Implementation of Self-Organizing Maps for Airfoil Design Exploration via Multi-Objective Optimization Technique
title_fullStr An Implementation of Self-Organizing Maps for Airfoil Design Exploration via Multi-Objective Optimization Technique
title_full_unstemmed An Implementation of Self-Organizing Maps for Airfoil Design Exploration via Multi-Objective Optimization Technique
title_short An Implementation of Self-Organizing Maps for Airfoil Design Exploration via Multi-Objective Optimization Technique
title_sort implementation of self organizing maps for airfoil design exploration via multi objective optimization technique
topic Aerodynamics
Adaptive Range Multi-Object Genetic Algorithm
PARSEC
Self-Organizing Map
Computational Fluid Dynamics
url http://www.jatm.com.br/ojs/index.php/jatm/article/view/585
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