Int. J. of Mathematical Modelling and Numerical Optimisation   »   2011 Vol.2, No.2

 

 

Title: Variable-fidelity aerodynamic shape optimisation of single-element airfoils at high-lift conditions

 

Author: Slawomir Koziel, Leifur Leifsson

 

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

 

Abstract: A computationally efficient simulation-driven variable-fidelity design methodology for single-element airfoils at high-lift conditions is described. Direct optimisation of an accurate but computationally expensive high-fidelity simulation model based on the Reynolds-averaged Navier-Stokes equations and a one equation turbulence model is replaced by iterative updating and re-optimisation of a cheap surrogate. The surrogate model exploits a low-fidelity model (a polynomial approximation of the high-fidelity model data) and appropriate correction that aim at aligning its corresponding airfoil surface pressure distribution and skin friction distribution with that of the high-fidelity model using a shape-preserving response prediction technique. The test cases include lift coefficient maximisation of single-element airfoils at high-lift conditions, subject to a constraint on the drag coefficient. Over 83% reduction in the number of high-fidelity model simulations is demonstrated when compared to high-fidelity model optimisation using a pattern-search algorithm.

 

Keywords: airfoil shape optimisation; computational fluid dynamics; CFD; high-lift; surrogate-based optimisation; SBO; variable-fidelity modelling; aerodynamic shapes; aerodynamics; simulation; airfoils; surface pressure distribution; skin friction distribution.

 

DOI: 10.1504/IJMMNO.2011.039428

 

Int. J. of Mathematical Modelling and Numerical Optimisation, 2011 Vol.2, No.2, pp.194 - 212

 

Available online: 04 Apr 2011

 

 

Editors Full text accessAccess for SubscribersPurchase this articleComment on this article