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Dissertation (MEng)--University of Pretoria, 2011.
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| Format: | Thesis |
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University of Pretoria
2013
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| _version_ | 1867613548659605504 |
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| access_status_str | Open Access |
| author2 | Kok, Schalk |
| author_browse | Kok, Schalk |
| author_facet | Kok, Schalk |
| collection | Thesis |
| dc_rights_str_mv | © 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. |
| description | Dissertation (MEng)--University of Pretoria, 2011. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/22939 |
| institution | University of Pretoria (South Africa) |
| last_indexed | 2026-06-10T12:37:54.123Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2013 |
| publishDateRange | 2013 |
| publishDateSort | 2013 |
| publisher | University of Pretoria |
| publisherStr | University of Pretoria |
| record_format | dspace |
| source_str | UPSpace — University of Pretoria Institutional Repository |
| spelling | oai:repository.up.ac.za:2263/22939 Multiple objective optimization of an airfoil shape Kok, Schalk antoine.dymond@up.ac.za Dymond, Antoine Smith Dryden Real-world optimization Multi-objective optimization Undefined regions UCTD Dissertation (MEng)--University of Pretoria, 2011. 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. Mechanical and Aeronautical Engineering unrestricted 2013-09-06T14:02:27Z 2011-05-10 2013-09-06T14:02:27Z 2011-02-15 2011 2011-03-02 Dissertation Dymond, ASD 2011, Multiple objective optimization of an airfoil shape, MEng dissertation, University of Pretoria, Pretoria, viewed yymmdd < http://hdl.handle.net/2263/22939 > C11/70/ag http://hdl.handle.net/2263/22939 http://upetd.up.ac.za/thesis/available/etd-03022011-163939/ © 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. application/pdf University of Pretoria |
| spellingShingle | Real-world optimization Multi-objective optimization Undefined regions UCTD Multiple objective optimization of an airfoil shape |
| title | Multiple objective optimization of an airfoil shape |
| title_full | Multiple objective optimization of an airfoil shape |
| title_fullStr | Multiple objective optimization of an airfoil shape |
| title_full_unstemmed | Multiple objective optimization of an airfoil shape |
| title_short | Multiple objective optimization of an airfoil shape |
| title_sort | multiple objective optimization of an airfoil shape |
| topic | Real-world optimization Multi-objective optimization Undefined regions UCTD |
| url | http://hdl.handle.net/2263/22939 http://upetd.up.ac.za/thesis/available/etd-03022011-163939/ |