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      Data-Based Approach for Fast Airfoil Analysis and Optimization

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          Abstract

          Airfoils are of great importance in aerodynamic design, and various tools have been developed to evaluate and optimize their performance. Existing tools are usually either accurate or efficient, but not both. This paper presents a tool that can analyze airfoils in both subsonic and transonic regimes in about one-hundredth of a second, and optimize airfoil shapes in a few seconds. Camber and thickness mode shapes derived from over 1000 existing airfoils are used to parameterize the airfoil shape, which reduces the number of design variables. More than 100,000 Reynolds-averaged Navier–Stokes (RANS) evaluations associated with different airfoils and flow conditions are used to train a surrogate model that combines gradient-enhanced kriging, partial least squares, and mixture of experts. These surrogate models provide fast aerodynamic analysis and gradient computation, which are coupled with a gradient-based optimizer to perform rapid airfoil shape design optimization. When comparing the surrogate-based optimization with optimization based on direct RANS evaluations, the largest differences in minimum C d are 0.04 counts for subsonic cases and 2.5 counts for transonic cases. This approach opens the door for interactive airfoil analysis and design optimization using any modern computer or mobile device.

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          Most cited references39

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          A one-equation turbulence model for aerodynamic flows

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            SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization

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              A statistical approach to some basic mine valuation problems on the Witwatersrand

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                Author and article information

                Conference
                aiaaj
                AIAA Journal
                AIAA Journal
                American Institute of Aeronautics and Astronautics
                0001-1452
                1533-385X
                31 October 2018
                February 2019
                : 57
                : 2
                : 581-596
                Affiliations
                University of Michigan , Ann Arbor, Michigan 48109
                Author notes
                [*]

                Visiting Scholar, Department of Aerospace Engineering. Member AIAA.

                [†]

                Postdoctoral Fellow, Department of Aerospace Engineering.

                [‡]

                Professor, Department of Aerospace Engineering. Associate Fellow AIAA.

                Article
                J057129 J057129
                10.2514/1.J057129
                1ee846cd-6ad8-4959-884d-1f5127eeb092
                Copyright © 2018 by the authors. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. All requests for copying and permission to reprint should be submitted to CCC at www.copyright.com; employ the ISSN 0001-1452 (print) or 1533-385X (online) to initiate your request. See also AIAA Rights and Permissions www.aiaa.org/randp.
                History
                : 2 February 2018
                : 31 July 2018
                : 5 August 2018
                Page count
                Figures: 22, Tables: 1
                Funding
                Funded by: Air Force Office of Scientific Research10.13039/100000181
                Award ID: FA9550-15-1-0038
                Categories
                Regular Articles

                Engineering,Physics,Mechanical engineering,Space Physics
                Engineering, Physics, Mechanical engineering, Space Physics

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