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Non-parametric Aerodynamic Shape Optimization

  • Nicolas GaugerEmail author
  • Caslav Ilic
  • Stephan Schmidt
  • Volker Schulz
Chapter
Part of the International Series of Numerical Mathematics book series (ISNM, volume 160)

Abstract

Numerical schemes for large scale shape optimization are considered. Exploiting the structure of shape optimization problems is shown to lead to very efficient optimization methods based on non-parametric surface gradients in Hadamard form. The resulting loss of regularity is treated using higher-order shape Newton methods where the shape Hessians are studied using operator symbols. The application ranges from shape optimization of obstacles in an incompressible Navier–Stokes fluid to super- and transonic airfoil and wing optimizations.

Keywords

Shape optimization one-shot shape SQP methods 

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Copyright information

© Springer Basel AG 2012

Authors and Affiliations

  • Nicolas Gauger
    • 1
    Email author
  • Caslav Ilic
    • 2
  • Stephan Schmidt
    • 3
  • Volker Schulz
    • 3
  1. 1.Department of Mathematics and CCESRWTH Aachen UniversityAachenGermany
  2. 2.Deutsches Zentrum für Luft- und Raumfahrt, e.V.BraunschweigGermany
  3. 3.TrierGermany

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