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Mesh adaption and automatic differentiation in a CAD‐free framework for optimal shape design
Author(s) -
Mohammadi Bijan,
Pironneau Olivier
Publication year - 1999
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19990530)30:2<127::aid-fld826>3.0.co;2-s
Subject(s) - cad , shape optimization , transonic , polygon mesh , automatic differentiation , computation , mesh generation , metric (unit) , computer aided design , computer science , mathematical optimization , morphing , mathematics , aerodynamics , engineering drawing , finite element method , algorithm , engineering , computer graphics (images) , structural engineering , aerospace engineering , operations management , operating system
A new approach for optimal shape design based on a CAD‐free framework for shape and unstructured mesh deformations, automatic differentiation for the gradient computation and mesh adaption by metric control in 2D is presented. The CAD‐free framework is shown to be particularly convenient for optimization when the mesh connectivities and control space size are variable during optimization. Constrained optimization for a transonic regime has been investigated in both 2D and 3D. Copyright © 1999 John Wiley & Sons, Ltd.