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Fast Multi-Objective Aerodynamic Optimization Using Space-Mapping-Corrected Multi-Fidelity Models and Kriging Interpolation

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Simulation-Driven Modeling and Optimization

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 153))

Abstract

The chapter describes a computationally efficient procedure for multi-objective aerodynamic design optimization with multi-fidelity models, corrected using space mapping, and kriging interpolation. The optimization procedure utilizes a multi-objective evolutionary algorithm to generate an initial Pareto front which is subsequently refined iteratively using local enhancements of the kriging-based surrogate model. The refinements are realized with space mapping response correction based on a limited number of high-fidelity training points allocated along the initial Pareto front. The method yields—at a low computational cost—a set of designs representing trade-offs between the conflicting objectives. We demonstrate the approach using examples of airfoil design, one in transonic flow and another one in low-speed flow, in low-dimensional design spaces.

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Author information

Authors and Affiliations

  1. Department of Aerospace Engineering, Iowa State University, Ames, IA 50011, USA

    Leifur Leifsson

  2. Engineering Optimization & Modeling Center, School of Science and Engineering, Reykjavik University, Menntavegur 1, 101, Reykjavik, Iceland

    Slawomir Koziel, Yonatan Tesfahunegn & Adrian Bekasiewicz

Authors
  1. Leifur Leifsson
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  2. Slawomir Koziel
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  3. Yonatan Tesfahunegn
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  4. Adrian Bekasiewicz
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Corresponding author

Correspondence to Leifur Leifsson .

Editor information

Editors and Affiliations

  1. Engin. Optimization & Modeling Cent, Reykjavik University, Reykjavik, Iceland

    Slawomir Koziel

  2. College of Engineering, Iowa State University, Ames, Iowa, USA

    Leifur Leifsson

  3. School of Science and Technology, Middlesex University, London, United Kingdom

    Xin-She Yang

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Leifsson, L., Koziel, S., Tesfahunegn, Y., Bekasiewicz, A. (2016). Fast Multi-Objective Aerodynamic Optimization Using Space-Mapping-Corrected Multi-Fidelity Models and Kriging Interpolation. In: Koziel, S., Leifsson, L., Yang, XS. (eds) Simulation-Driven Modeling and Optimization. Springer Proceedings in Mathematics & Statistics, vol 153. Springer, Cham. https://doi.org/10.1007/978-3-319-27517-8_3

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