Free-form shape optimization of airfoils to minimize drag directly poses unexpected difficulties. Practical experience has indicated that a deterministic optimization for discrete operating conditions can result in dramatically inferior performance when the actual operating conditions are different from the (somewhat arbitrarily selected) design conditions used during the optimization. Extensions from single-point to multipoint optimization have proven unable to remedy this problem of localized optimization adequately near the sampled operating conditions. An intrinsically statistical approach is presented, and how the shortcomings of traditional optimization methods can be overcome is demonstrated. The authors discuss two algorithms. The first one is based on a numerical evaluation of the expectation integral during each optimization step. The second one is based on a closed-form second-order analytic approximation of the integration. The airfoil geometry optimization example (inviscid Euler flow) also reveals how the relative likelihood of each of the operating conditions is automatically taken into consideration during the optimization process. This is a key advantage over the use of multipoint methods.


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    Title :

    Probabilistic approach to free-form airfoil shape optimization under uncertainty


    Additional title:

    Optimierung von Tragflügelprofilen auf der Basis unsicherer Entwurfsparameter


    Contributors:
    Huyse, L. (author) / Padula, S.L. (author) / Lewis, R.M. (author) / Li, W. (author)

    Published in:

    AIAA Journal ; 40 , 9 ; 1764-1772


    Publication date :

    2002


    Size :

    9 Seiten, 14 Bilder, 3 Tabellen, 26 Quellen




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English




    Probabilistic Approach to Free-Form Airfoil Shape Optimization Under Uncertainty

    Luc Huyse / Sharon L. Padula / R. Michael Lewis et al. | AIAA | 2002




    Airfoil Shape Optimization Under Uncertainty: Results for Expected Value Optimization and Its Analytic Approximation

    Huyse, L. / National Aeronautics and Space Administration / Old Dominion University | British Library Conference Proceedings | 2001


    Airfoil Shape Optimization

    Tribes, C. / Trepanier, J.-Y. / Canadian Society for Mechanical Engineering | British Library Conference Proceedings | 2001