The authors present a new continuous adjoint method for aerodynamic shape optimization using the Euler equations, which reduces the computational cost of the gradients by reducing the volume integral part of the adjoint gradient formula to a surface integral. The savings are particularly significant for three-dimensional aerodynamic shape-optimization problems on general unstructured and overset meshes. To validate the concept, the new gradient equations have been tested for various aerodynamic shape-optimization problems, including an inverse problem for three-dimensional wing configurations, and drag-minimization problems of a single-element airfoil and a three-dimensional wing-fuselage configuration. To assess their accuracy, the results are compared with finite difference gradients, complex-step gradients, and gradients calculated by the previous adjoint method, which includes a volume integral.
Reduction of the adjoint gradient formula for aerodynamic shape optimization problems
Reduktion der adjungierten Gradientenformel bei der Optimierung von Flügelprofilen
AIAA Journal ; 41 , 11 ; 2114-2129
2003
16 Seiten, 15 Bilder, 1 Tabelle, 19 Quellen
Article (Journal)
English
dreidimensionales Objekt , Druckverteilung , Euler-Gleichung , Finite-Differenz-Methode , Flügelprofil , Gitternetz , Gradient , Integral (Mathematik) , inverses Problem , Koordinatentransformation , Kostenfunktion , Minimierung , numerische Strömungsberechnung , Rechenzeit , simulierte Optimierung , Tragflügelumströmung , Widerstandsbeiwert , Zeiteinsparung
Aerodynamic Shape Optimization using Adjoint Method.
Online Contents | 2002
|The Continuous Adjoint Approach in Aerodynamic Shape Optimization
Springer Verlag | 2005
|