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Adaptive infill sampling criterion for multi-fidelity optimization based on Gappy-POD

Application to the flight domain study of a transonic airfoil

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Abstract

This paper presents a reformulation of the “Gappy Proper Orthogonal Decomposition” (Gappy-POD) multi-fidelity modeling approach and proposes an enrichment criterion associated with an adaptive infill algorithm. The latter is here applied to the study of the flight domain of the RAE-2822 transonic airfoil at two different levels of accuracy to demonstrate its ability to detect areas in a two-dimensional design space where the surrogate model needs improvement to better drive the optimization process.

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Acknowledgments

The present work was partly founded by the Association Nationale de la Recherche et Technologie. The authors would like to thank Snecma from the SAFRAN Group for their support and permission to publish this study and especially Dr. Mickaël Meunier and Ir. Jean Coussirou for their technical support in this research project. Last but not least, the authors would like to acknowledge the three anonymous reviewers whose comments helped improve and clarify this manuscript.

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Authors and Affiliations

  1. Laboratoire Roberval, UMR 7337 UTC-CNRS, Université de Technologie de Compiêgne, Centre de Recherches de Royallieu, CS60319, 60203, Compiêgne Cedex, France

    Tariq Benamara & Piotr Breitkopf

  2. MINAMO Team, CENAERO, Eole Building, Rue des Frères Wright 29, 6041, Gosselies, Belgium

    Tariq Benamara, Ingrid Lepot & Caroline Sainvitu

  3. Snecma, Site de Villaroche, Rond Point René Ravaud-Réau, 77550, Moissy-Cramayel, France

    Tariq Benamara

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  1. Tariq Benamara
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  4. Caroline Sainvitu
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Correspondence to Tariq Benamara.

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Benamara, T., Breitkopf, P., Lepot, I. et al. Adaptive infill sampling criterion for multi-fidelity optimization based on Gappy-POD. Struct Multidisc Optim 54, 843–855 (2016). https://doi.org/10.1007/s00158-016-1440-3

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  • DOI: https://doi.org/10.1007/s00158-016-1440-3

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