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Modèle géométrique déformable pour la simulation et l’optimisation automatique de forme

Elisa Berrini 1
1 AROMATH - AlgebRe, geOmetrie, Modelisation et AlgoriTHmes
CRISAM - Inria Sophia Antipolis - Méditerranée , NKUA | UoA - National and Kapodistrian University of Athens = University of Athens
Abstract : The precise control of geometric models plays an important role in many domains. For shape optimisation in CFD, the choice of control parameters and the way to deform a shape are critical. In this thesis, we propose a new approach to shape deformation for parametric modellers with the purpose of being integrated into an automatic shape optimisation loop with a CFD solver. Our methodology is based on a twofold parameterisation: geometrical and architectural. The geometrical approach consist of a skeleton-based representation of object. The skeleton is made of a family of B-Spline curves, called generating curve and section curves. The skeleton is parametrised with an architectural approach: meaningful design parameters are chosen on the studied object. Thus, instead of using the control points of a classical B-spline representation, we control the geometry in terms of architectural parameters. This reduce the number of degrees of freedom and maintain a high level description of shapes. We ensure to generate valid shapes with a strong shape consistency control based on architectural considerations. Deformations of the geometry are performed by solving optimisation problems on the skeleton. Finally, a surface reconstruction method is proposed to evaluate the shape’s performances with CFD solvers. We illustrate the parametric modeller capabilities on three problems, performed with an automatic shape optimisation loop: the wind section of an plane (airfoil), the foil of an AC45 racing sail boat and the bulbous bow of a fishing trawler.
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Submitted on : Thursday, September 14, 2017 - 4:25:09 PM
Last modification on : Monday, May 25, 2020 - 8:12:01 PM
Document(s) archivé(s) le : Friday, December 15, 2017 - 6:26:55 PM


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  • HAL Id : tel-01587806, version 1



Elisa Berrini. Modèle géométrique déformable pour la simulation et l’optimisation automatique de forme. Mathématiques générales [math.GM]. Université Côte d'Azur, 2017. Français. ⟨NNT : 2017AZUR4036⟩. ⟨tel-01587806⟩



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