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Aerodynamic Shape Optimization with Uncertain Operating Conditions using Metamodels

Régis Duvigneau 1
1 OPALE - Optimization and control, numerical algorithms and integration of complex multidiscipline systems governed by PDE
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR6621
Abstract : In this paper, we address aerodynamic shape optimization problems including uncertain operating conditions. After a review of the possible approaches to take into account uncertainty, we propose to use meta-modeling techniques in order to develop a two-level modeling procedure for statistics estimation. Radial basis functions are employed to approximate the aerodynamic coefficients as operating conditions vary. Then, a Monte-Carlo method is employed to estimate statistics using the approximate model. The proposed approach is applied to the robust optimization of the wing shape of a business aircraft, by minimizing the mean and the variance of the drag coefficient with uncertain free-stream Mach number.
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https://hal.inria.fr/inria-00136494
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Submitted on : Thursday, March 15, 2007 - 9:56:07 AM
Last modification on : Friday, January 21, 2022 - 11:28:05 AM
Long-term archiving on: : Tuesday, September 21, 2010 - 1:06:14 PM

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  • HAL Id : inria-00136494, version 2

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Régis Duvigneau. Aerodynamic Shape Optimization with Uncertain Operating Conditions using Metamodels. [Research Report] RR-6143, INRIA. 2007, pp.32. ⟨inria-00136494v2⟩

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