A discrete adjoint method is developed and demonstrated for aerodynamic design optimization on unstructured grids. The governing equations are the three-dimensional Reynolds-averaged Navier-Stokes equations coupled with a one-equation turbulence model. A discussion of the numerical implementation of the flow and adjoint equations is presented. Both compressible and incompressible solvers are differentiated and the accuracy of the sensitivity derivatives is verified by comparing with gradients obtained using finite differences. Several simplifying approximations to the complete linearization of the residual are also presented, and the resulting accuracy of the derivatives is examined. Demonstration optimizations for both compressible and incompressible flows are given.


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    Title :

    Aerodynamic design optimization on unstructured meshes using the Navier-Stokes equations


    Additional title:

    Aerodynamische Optimierung auf Grundlage der Lösung der Navier-Stokes-Gleichungen mit einem unstrukturierten Gitternetz


    Contributors:

    Published in:

    AIAA Journal ; 37 , 11 ; 1411-1419


    Publication date :

    1999


    Size :

    9 Seiten, 14 Bilder, 7 Tabellen, 35 Quellen




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English