Document Type	Master's Dissertation
Author	Dymond, Antoine Smith Dryden
Email	antoine.dymond@up.ac.za
URN	etd-03022011-163939
Document Title	Multiple objective optimization of an airfoil shape
Degree	MEng
Department	Mechanical and Aeronautical Engineering
Supervisor	Advisor Name Title Dr S Kok Committee Chair
Keywords	real-world optimization multi-objective optimization undefined regions
Date	2011-02-15
Availability	unrestricted
Abstract An airfoil shape optimization problem with conflicting objectives is handled using two different multi-objective approaches. These are an a priori scalarization approach where the conflicting objectives are assigned weights and summed together to form a single objective, and the Pareto-optimal multi-objective approach. The optimization formulations for both approaches contain challenging numerical characteristics which include noise, multi-modality and undefined regions. Gradient-, surrogate- and population-based single objective optimization methods are applied to the `a priori' formulations. The gradient methods are modified to improve their performance on noisy problems as well as to handle undefined regions in the design space. The modifications are successful but the modified methods are outperformed by the surrogate methods and population based methods. Population-based techniques are used for the Pareto-optimal multi-objective approach. Two established optimization algorithms and two custom algorithms are implemented. The custom algorithms use fitted unrotated hyper ellipses and linear aggregating functions to search the design space for non-dominated designs. Various multi-objective formulations are posed to investigate different aspects of the airfoil design problem. The non-dominated designs found by the Pareto-optimal multi-objective optimization algorithms are then presented. © 2011 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. Please cite as follows: Dymond, ASD 2011, Multiple objective optimization of an airfoil shape, MEng dissertation, University of Pretoria, Pretoria, viewed yymmdd < http://upetd.up.ac.za/thesis/available/etd-03022011-163939/ > C11/70/ag
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