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Towards Self-Adaptive Parameterization of Bézier Curves for Airfoil Aerodynamic Design

Zhi Li Tang 1 Jean-Antoine Desideri 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 : This report is part of a series of numerical studies in optimum-shape design in aerodynamics in which the equations of Fluid Mechanics (typically the Euler Equations for Compressible Perfect Gas) are solved by a Finite-Volum- e-type method over a structured or unstructured mesh, and the aerodynamic shape (wing or airfoil) is optimized w.r.t. some aerodynamic criterion (e.g. lift maximization or drag reduction). We are considering here the two-dimensionnal case in which the shape is an airfoil represented by a Bézier curve whose degree is much smaller than the number of meshpoints on the body surface and we assume that the control points have a priori fixed abscissas and that their ordinates constitute the set of parameters of the optimization. We evaluate by numerical experiments the incidence of this a priori choice on the efficacy of the optimization.
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Submitted on : Tuesday, May 23, 2006 - 7:34:18 PM
Last modification on : Thursday, January 20, 2022 - 5:32:10 PM
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  • HAL Id : inria-00072016, version 1


Zhi Li Tang, Jean-Antoine Desideri. Towards Self-Adaptive Parameterization of Bézier Curves for Airfoil Aerodynamic Design. [Research Report] RR-4572, INRIA. 2002. ⟨inria-00072016⟩



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