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Imposing C 0 and C 1 continuity constraints during CAD‐based adjoint optimization
Author(s) -
Damigos Marios G.,
De Villiers Eugene
Publication year - 2021
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/fld.4983
Subject(s) - cad , boundary representation , shape optimization , computation , boundary (topology) , geometry , aerodynamics , computer aided design , mathematics , representation (politics) , surface (topology) , computational fluid dynamics , duct (anatomy) , computer science , algorithm , mathematical optimization , engineering drawing , mathematical analysis , engineering , mechanical engineering , finite element method , structural engineering , aerospace engineering , medicine , pathology , political science , law , politics
This article presents a method for performing adjoint‐based aerodynamic shape optimization by manipulating the standard CAD geometry of the shape to be optimized. A standard CAD file gives access to the boundary representation (BRep) of the shape and consequently its boundary surfaces which are usually trimmed patches. This is a sensible choice as the open format of such files is a requirement for the computation of the shape derivatives. The method addresses the continuity issues that emerge during the update of the shape by imposing up to C 1 constraints between different CAD patches. A parameterization scheme based on NURBS surfaces is then defined, in which the aforementioned constraints are inherently satisfied. The proposed method is firstly demonstrated in a simple geometric case and then in the full‐scale optimization of industrial‐like cases such as the S‐section of a cooling duct and the tail surface of a passenger car.