Non-intrusive aerodynamic shape optimisation with a discrete empirical interpolation method

Simao P. Marques, Lucas Kob, Trevor T. Robinson, Weigang Yao, Liang Sun

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)


This work presents a strategy to build reduced order models suitable for aerodynamic shape optimization, resulting in a multi-fidelity optimisation framework. A reduced-order model (ROM) based on a Discrete Empirical Interpolation (DEIM) method is employed in lieu of computational fluid dynamics solvers, for fast, nonlinear, aerodynamic modeling. The DEIM builds a set of interpolation points that allows it to reconstruct the flow fields from set of basis obtained by Proper Orthogonal Decomposition of a matrix of snapshots. The aerodynamic reduced order model is completed by introducing a nonlinear mapping function between surface deformation and the DEIM interpolation points. The optimisation problem is managed by a trust-region algorithm linking the multiple fidelity solvers, with each subproblem solved using a gradient-based algorithm. The design space is initially restricted; as the optimisation trajectory evolves, new samples enrich the ROM. The proposed methodology is evaluated using a transonic viscous test case based on the Onera M6 wing. Results show that for cases with a moderate number of design variables, the approach proposed is competitive with state-of-the-art gradient based methods; in addition, the use of the trust-region methodology mitigates the likelihood of the optimiser converging to, shallower, local minima.
Original languageEnglish
Title of host publicationAIAA Scitech 2021 Forum
PublisherAmerican Institute of Aeronautics and Astronautics
Number of pages10
ISBN (Print)9781624106095
Publication statusPublished (in print/issue) - 11 Jan 2021
EventAIAA Scitech 2021 Forum - Virtual
Duration: 11 Jan 202121 Jan 2021

Publication series

NameAIAA Scitech 2021 Forum
PublisherAmerican Institute of Aeronautics and Astronautics


ConferenceAIAA Scitech 2021 Forum
Internet address

Bibliographical note

Funding Information:
The funding provided for this research from the Engineering and Physical Sciences Research Council (Grant No. EP/P025692/1) is gratefully acknowledged.

Publisher Copyright:
© 2021, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.


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