This work focuses on an investigation of multi-modality in typical aerodynamic shape optimization problems and development of optimization algorithms that can find a global optimum.
First, a classification of problems based on the degree of multi-modality is introduced.
Then, two optimization algorithms are described that can find a global optimum in a computationally efficient manner: a gradient-based multi-start Sobol algorithm,
and a hybrid optimization algorithm.
Two additional algorithms are considered as well: a gradient-based optimizer and a genetic algorithm.
Finally, we consider a set of typical aerodynamic shape optimization problems.
In each problem, the primary objectives are to classify the problem according to the degree of multi-modality, and to select the preferred optimization algorithm for the problem.
We find that typical two-dimensional airfoil shape optimization problems are unimodal.
Three-dimensional shape optimization problems may contain local optima. In these problems, the gradient-based multi-start Sobol algorithm is the most efficient algorithm.
| Identifer | oai:union.ndltd.org:TORONTO/oai:tspace.library.utoronto.ca:1807/30548 |
| Date | 06 December 2011 |
| Creators | Chernukhin, Oleg |
| Contributors | Zingg, David W. |
| Source Sets | University of Toronto |
| Language | en_ca |
| Detected Language | English |
| Type | Thesis |
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