Geometric modelling and deformation for shape optimisation of ship hulls and appendages

Elisa Berrini (1, 2) , Bernard Mourrain (2) , Yann Roux (3, 1) , Mathieu Durand (3) , Guillaume Fontaine (3)

1 MyCFD
2 AROMATH - AlgebRe, geOmetrie, Modelisation et AlgoriTHmes
3 K-Epsilon

The precise control of geometric models plays an important role in many domains such as Computer Aided geometric Design and numerical simulation. For shape optimisation in Computational Fluid Dynamics, the choice of control parameters and the way to deform a shape are critical. In this paper, we describe a skeleton-based representation of shapes adapted for CFD simulation and automatic shape optimisation. Instead of using the control points of a classical B-spline representation, we control the geometry in terms of architectural parameters. We assure valid shapes with a strong shape consistency control. 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 approach on two problems: the foil of an AC45 racing sail boat and the bulbous bow of a fishing trawler. For each case, we obtained a set of shape deformations and then we evaluated and analysed the performances of the different shapes with CFD computations.

Mots clés: computers in design; hydrodynamics (hull form); design (vessels)

Domaines: Physique mathématique [math-ph]; Optimisation et contrôle [math.OC]

Elisa Berrini, Bernard Mourrain, Yann Roux, Mathieu Durand, Guillaume Fontaine. Geometric modelling and deformation for shape optimisation of ship hulls and appendages. 2016. ⟨hal-01373249v3⟩