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Design strategies for multi-objective optimization of aerodynamic surfaces

Anand Amrit (Department of Aerospace Engineering, Iowa State University, Ames, Iowa, USA)
Leifur Leifsson (Department of Aerospace Engineering, Iowa State University, Ames, Iowa, USA)
Slawomir Koziel (Gdansk University of Technology, Gdansk, Poland)

Engineering Computations

ISSN: 0264-4401

Article publication date: 3 July 2017




This paper aims to investigates several design strategies to solve multi-objective aerodynamic optimization problems using high-fidelity simulations. The purpose is to find strategies which reduce the overall optimization time while still maintaining accuracy at the high-fidelity level.


Design strategies are proposed that use an algorithmic framework composed of search space reduction, fast surrogate models constructed using a combination of physics-based surrogates and kriging and global refinement of the Pareto front with co-kriging. The strategies either search the full or reduced design space with a low-fidelity model or a physics-based surrogate.


Numerical investigations of airfoil shapes in two-dimensional transonic flow are used to characterize and compare the strategies. The results show that searching a reduced design space produces the same Pareto front as when searching the full space. Moreover, as the reduced space is two orders of magnitude smaller (volume-wise), the number of required samples to setup the surrogates can be reduced by an order of magnitude. Consequently, the computational time is reduced from over three days to less than half a day.


The proposed design strategies are novel and holistic. The strategies render multi-objective design of aerodynamic surfaces using high-fidelity simulation data in moderately sized search spaces computationally tractable.



Amrit, A., Leifsson, L. and Koziel, S. (2017), "Design strategies for multi-objective optimization of aerodynamic surfaces", Engineering Computations, Vol. 34 No. 5, pp. 1724-1753.



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