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Coupling Local and Global Shape Optimization in Aerodynamic Design

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 : Wing design in aerodynamics requires the definition of global geometrical characteristics, such as span, root/tip length ratio, angle of attack, twist angle, sweep angle, etc, as well as local geometrical features that determine the wing section. The objective of this study is to propose an efficient algorithm to achieve the optimization of both global and local shape parameters. We consider as testcase the drag minimization, under lift constraint, of the wing shape of a business aircraft in transonic regime, the flow being modeled by the compressible Euler equations. We show that a straightforward optimization of all parameters fails, due to multimodality of the optimization problem. Then, some alternative strategies are proposed. Among them, the use of virtual Nash games yields the best results, in terms of cost function value obtained as well as computational efficiency.
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Submitted on : Friday, July 15, 2011 - 10:52:23 AM
Last modification on : Thursday, August 4, 2022 - 4:52:47 PM
Long-term archiving on: : Monday, November 12, 2012 - 11:05:44 AM


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  • HAL Id : inria-00608846, version 1


Régis Duvigneau. Coupling Local and Global Shape Optimization in Aerodynamic Design. [Research Report] RR-7684, INRIA. 2011. ⟨inria-00608846⟩



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