doi: 10.1685/journal.caim.452

Free Form Deformation Techniques Applied to 3D Shape Optimization Problems

Gianluigi Rozza, Anwar Koshakji, Alfio Quarteroni


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.

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Communications in Applied and Industrial Mathematics
ISSN: 2038-0909