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, the designs obtained by the proposed approach are less sensitive to variations in the uncertain variables than those obtained with the standard problem formulation.
Recommended Citation
X. Du et al., "Airfoil Design under Uncertainty using Non-Intrusive Polynomial Chaos Theory and Utility Functions," Procedia Computer Science, vol. 108, pp. 1493 - 1499, Elsevier, Jan 2017.
The definitive version is available at https://doi.org/10.1016/j.procs.2017.05.079
Department(s)
Mechanical and Aerospace Engineering
Keywords and Phrases
Design under uncertainty; stochastic surrogates; transonic airfoil design; utility theory
International Standard Serial Number (ISSN)
1877-0509
Document Type
Article - Conference proceedings
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2023 Elsevier, All rights reserved.
Creative Commons Licensing
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
Publication Date
01 Jan 2017
