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Adaptive modeling strategy for constrained global optimization with application to aerodynamic wing design

Bartoli, Nathalie and Lefebvre, Thierry and Dubreuil, Sylvain and Olivanti, Romain and Priem, Rémy and Bons, Nicolas and Martins, Joaquim R.R. A. and Morlier, Joseph Adaptive modeling strategy for constrained global optimization with application to aerodynamic wing design. (2019) Aerospace Science and Technology, 90. 85-102. ISSN 1270-9638

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Official URL: https://doi.org/10.1016/j.ast.2019.03.041

Abstract

Surrogate models are often used to reduce the cost of design optimization prob- lems that involve computationally costly models, such as computational fluid dynamics simulations. However, the number of evaluations required by sur- rogate models usually scales poorly with the number of design variables, and there is a need for both better constraint formulations and multimodal function handling. To address this issue, we developed a surrogate-based gradient-free optimization algorithm that can handle cases where the function evaluations are expensive, the computational budget is limited, the functions are multimodal, and the optimization problem includes nonlinear equality or inequality con- straints. The proposed algorithm—super efficient global optimization coupled with mixture of experts (SEGOMOE)—can tackle complex constrained design optimization problems through the use of an enrichment strategy based on a mixture of experts coupled with adaptive surrogate models. The performance of this approach was evaluated for analytic constrained and unconstrained prob- lems, as well as for a multimodal aerodynamic shape optimization problem with 17 design variables and an equality constraint. Our results showed that the method is efficient and that the optimum is much less dependent on the starting point than the conventional gradient-based optimization.

Item Type:Article
HAL Id:hal-02149236
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Ecole nationale supérieure des Mines d'Albi-Carmaux - IMT Mines Albi (FRANCE)
Université de Toulouse > Institut National des Sciences Appliquées de Toulouse - INSA (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Other partners > Michigan State University - MSU (USA)
French research institutions > Office National d'Etudes et Recherches Aérospatiales - ONERA (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Laboratory name:
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Deposited By: Joseph Morlier
Deposited On:30 Apr 2019 08:06

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