Aerodynamic shape optimization of unsteady, chaotic flows

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Authors
Ashley, Anthony
Issue Date
2019-08
Type
Electronic thesis
Thesis
Language
ENG
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Aeronautical engineering
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Abstract
Two stabilization approaches are investigated and their results analyzed. The energy stabilization method is subsequently extended to the sensitivity analysis of computational fluid dynamics and applied to a two-dimensional inviscid airfoil test case. The energy stabilization method is shown to successfully bound the exponential growth of the tangent sensitivity. The sensitivities produced by the energy-stabilization method are usable in the sense that they are not exponentially large, but they contain some bias when compared with a least-squares fit of the data, though the error is small in absolute terms. As predicted, the method is computationally inexpensive compared to other leading methods for obtaining sensitivities under chaotic dynamics.
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August 2019
School of Engineering
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Rensselaer Polytechnic Institute, Troy, NY
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