Free Form Deformation Techniques Applied to 3D Shape Optimization Problems

Keywords

Advanced Numerical Methods for Scientific Computing
Code:
05/2014
Title:
Free Form Deformation Techniques Applied to 3D Shape Optimization Problems
Date:
Monday 27th January 2014
Author(s):
Rozza, G.; Koshakji, A.; Quarteroni, A.
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Abstract:
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, 4, nov. 2013. doi:10.1685/journal.caim.452