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Free-form-deformation parameterization for multilevel 3D shape optimization in aerodynamics

Michele Andreoli 1 Janka Ales 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 : A versatile parameterization technique is developed for 3D shape optimization in aerodynamics. Special attention is paid to construct a hierarchical parameterization by progressive enrichment of the parametric space. After a brief review of possible approaches, the free-form deformation framework is elected for a 3D tensorial Bézier parameterization. The classical degree-elevation algorithm applicable to Bézier curves is still valid for tensor products, and its application yields a hierarchy of embedded parameterizations. A drag-reduction optimization of a 3D wing in transonic regime is carried out by applying the Nelder-Mead simplex algorithm and a genetic algorithm. The new parameterization including degree-elevation is validated by numerical experimentation and its performance assessed.
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Submitted on : Tuesday, May 23, 2006 - 5:58:16 PM
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  • HAL Id : inria-00071565, version 1

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Michele Andreoli, Janka Ales, Jean-Antoine Desideri. Free-form-deformation parameterization for multilevel 3D shape optimization in aerodynamics. [Research Report] RR-5019, INRIA. 2003. ⟨inria-00071565⟩

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