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      Flowfield Prediction of Airfoil Off-Design Conditions Based on a Modified Variational Autoencoder

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          Abstract

          Multipoint optimization that considers the off-design flow conditions is usually applied to improve the robustness during airfoil aerodynamic optimization. Many deep learning models have been used for the rapid prediction of flowfields. However, the prediction accuracy may be insufficient, and the model generalization ability is questionable. Because a computational fluid dynamic evaluation of the cruise condition is usually necessary and affordable in industrial design, a novel deep learning model is proposed to use the cruise flowfield as a prior reference for the off-design condition prediction. A prior variational autoencoder is developed to extract features from the cruise flowfield and to generate new flowfields under other operation conditions. Physical-based loss functions based on aerodynamic force and conservation of mass are derived to minimize the prediction error. The results demonstrate that the proposed model can reduce the prediction error on test airfoils by 30% as compared to traditional models. The physical-based loss function can further reduce the prediction error by 4%. The proposed model illustrates a better balance between time cost and fidelity requirements as well as better generalization ability, which makes the model more feasible for industrial applications.

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                Author and article information

                Contributors
                Journal
                aiaaj
                AIAA Journal
                AIAA Journal
                American Institute of Aeronautics and Astronautics
                1533-385X
                02 September 2022
                October 2022
                : 60
                : 10
                : 5805-5820
                Affiliations
                Tsinghua University , 100084 Beijing, People’s Republic of China
                Author notes
                [*]

                Ph.D. Candidate, School of Aerospace Engineering; yangyj20@ 123456mails.tsinghua.edu.cn .

                [†]

                School of Aerospace Engineering; lirunze@ 123456tsinghua.edu.cn .

                [‡]

                Associate Professor, School of Aerospace Engineering; zhangyufei@ 123456tsinghua.edu.cn . Senior Member AIAA.

                [§]

                Professor, School of Aerospace Engineering; chenhaixin@ 123456tsinghua.edu.cn . Associate Fellow AIAA (Corresponding Author).

                Article
                J061972 J061972
                10.2514/1.J061972
                4acd183e-8361-43cb-af7a-210ceedcc69f
                Copyright © 2022 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved. All requests for copying and permission to reprint should be submitted to CCC at www.copyright.com; employ the eISSN 1533-385X to initiate your request. See also AIAA Rights and Permissions www.aiaa.org/randp.
                History
                : 19 April 2022
                : 01 June 2022
                : 29 June 2022
                Page count
                Figures: 23, Tables: 9
                Funding
                Funded by: National Natural Science Foundation of Chinahttp://dx.doi.org/10.13039/501100001809
                Award ID: 11872230
                Award ID: 91852108
                Award ID: 92052203
                Categories
                Regular Articles
                p2263, Fluid Dynamics
                p1804, Aerodynamics
                p1976, Flow Regimes
                p3282, Computational Fluid Dynamics
                p20543, Aerodynamic Performance
                p3987, Finite Volume Method
                p3830, Turbulence Models
                p3278, Fluid Flow Properties
                p16631, Conservation of Momentum Equations
                p28499, Numerical Interpolation

                Engineering,Physics,Mechanical engineering,Space Physics
                Supercritical Airfoils,Airfoil Geometry,Lift Coefficient,CFD Simulation,Flow Conditions,Industrial Applications,Convolutional Neural Network,Reynolds Averaged Navier Stokes,Drag Divergence Mach Number,Mass Flow

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