The precise control of geometric models plays an important role in many domains such as computer-aided geometric design and numerical simulation. For shape optimization in computational fluid dynamics (CFD), the choice of control parameters and the way to deform a shape are critical. In this article, we describe a skeleton-based representation of shapes adapted for CFD simulation and automatic shape optimization. Instead of using the control points of a classic 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 optimization 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 analyzed the performances of the different shapes with CFD computations.
Geometric Modelling and Deformation for Shape Optimization of Ship Hulls and Appendages
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Berrini, Elisa, Mourrain, Bernard, Roux, Yann, Durand, Mathieu, and Guillaume Fontaine. "Geometric Modelling and Deformation for Shape Optimization of Ship Hulls and Appendages." J Ship Res 61 (2017): 91–106. doi: https://doi.org/10.5957/jsr.2017.61.2.91
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