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Abstract
Fast and accurate airfoil design under uncertainty using non-intrusive polynomial chaos (NIPC) expansions and utility functions is proposed. The NIPC expansions provide a means to efficiently and accurately compute statistical information for a given set of input variables with associated probability distribution. Utility functions provide a way to rigorously formulate the design problem. In this work, these two methods are integrated for the design of airfoil shapes under uncertainty. The proposed approach is illustrated on a numerical example of lift-constrained airfoil drag minimization in transonic viscous flow using the Mach number as an uncertain variable. The results show that compared with the standard problem formulation the proposed approach yields more robust designs. In other words, t he designs obtained by the proposed approach are less sensitive to variations in the uncertain variables than those obtained with the standard problem formulation.
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Authors (4)
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Xiaosong Du
- Iowa state University
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Leifur Leifsson
- Iowa state University
Cite as
Full text
- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.procs.2017.05.079
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- Category:
- Conference activity
- Type:
- materiały konferencyjne indeksowane w Web of Science
- Published in:
-
Procedia Computer Science
no. 108,
pages 1493 - 1499,
ISSN: 1877-0509 - Title of issue:
- International Conference on Computational Science (ICCS) strony 1493 - 1499
- Language:
- English
- Publication year:
- 2017
- Bibliographic description:
- Du X., Leifsson L., Kozieł S., Bekasiewicz A..: Airfoil Design Under Uncertainty Using Non-Intrusive Polynomial Chaos Theory and Utility Functions, W: International Conference on Computational Science (ICCS), 2017, ,.
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.procs.2017.05.079
- Verified by:
- Gdańsk University of Technology
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