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.


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    Title :

    Reduction of the adjoint gradient formula for aerodynamic shape optimization problems


    Additional title:

    Reduktion der adjungierten Gradientenformel bei der Optimierung von Flügelprofilen


    Contributors:
    Jameson, A. (author) / Kim, S. (author)

    Published in:

    AIAA Journal ; 41 , 11 ; 2114-2129


    Publication date :

    2003


    Size :

    16 Seiten, 15 Bilder, 1 Tabelle, 19 Quellen




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English