Design optimization utilizing gradient/hessian enhanced surrogate model

W Yamazaki, M Rumpfkeil, D Mavriplis - 28th AIAA applied …, 2010 - arc.aiaa.org
28th AIAA applied aerodynamics conference, 2010arc.aiaa.org
In this paper, gradient/Hessian-enhanced surrogate models have been developed based on
Kriging approaches. The gradient/Hessian-enhanced Kriging methods have been
developed based on direct and indirect formulations. The efficiencies of these methods are
compared by analytical function fitting, aerodynamic data modeling and 2D airfoil drag
minimization problems. For the aerodynamic problems, efficient CFD gradient/Hessian
calculation methods are utilized that make use of adjoint and automatic differentiation …
In this paper, gradient/Hessian-enhanced surrogate models have been developed based on Kriging approaches. The gradient/Hessian-enhanced Kriging methods have been developed based on direct and indirect formulations. The efficiencies of these methods are compared by analytical function fitting, aerodynamic data modeling and 2D airfoil drag minimization problems. For the aerodynamic problems, efficient CFD gradient/Hessian calculation methods are utilized that make use of adjoint and automatic differentiation techniques. The gradient/Hessian-enhanced surrogate models are shown to be useful in the development of efficient design optimization, aerodynamic database construction, and uncertainty analysis.
AIAA Aerospace Research Center
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