The purpose of this work is to analyse and study an efficient parametrization technique for a 3D shape optimization problem. After a brief review of the techniques and approaches already available in literature, we recall the Free Form Deformation parametrization, a technique which proved to be efficient and at the same time versatile, allowing to manage complex shapes even with few parameters. We tested and studied the FFD technique by establishing a path, from the geometry definition, to the method implementation, and finally to the simulation and to the optimization of the shape. In particular, we have studied a bulb and a rudder of a race sailing boat as model applications, where we have tested a complete procedure from Computer-Aided-Design to build the geometrical model to discretization and mesh generation.

@ARTICLE{KoshakjiQuarteroniRozza2013,
author = {Anwar Koshakji and Alfio Quarteroni and Gianluigi Rozza},
title = {Free Form Deformation Techniques Applied to 3D Shape Optimization
Problems},
journal = {Communications in Applied and Industrial Mathematics},
year = {2013},
doi = {10.1685/journal.caim.452},
}