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On the use of orthogonal functions in fluid‐dynamic gradient‐based optimization
Author(s) -
Catalano L. A.,
Dadone A.,
Daloiso V. S. E.
Publication year - 2008
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.1740
Subject(s) - inviscid flow , airfoil , transonic , interpolation (computer graphics) , mathematics , inverse , computational fluid dynamics , set (abstract data type) , mathematical optimization , antisymmetric relation , algorithm , computer science , geometry , engineering , aerodynamics , structural engineering , aerospace engineering , animation , computer graphics (images) , programming language , mathematical physics
This paper proposes a method to derive a set of symmetrical and antisymmetric orthogonal shape functions, which can be efficiently used in fluid‐dynamic design optimization. The inverse design of an airfoil in inviscid transonic flow conditions is proposed to demonstrate that a gradient‐based optimization using orthogonal profiles is 6–10 times faster than the same procedure using non‐orthogonal interpolation functions. Copyright © 2008 John Wiley & Sons, Ltd.