Adjoint-Based Methods in Aerodynamic Design-Optimization

  • Eugene M. Cliff
  • Matthias Heinkenschloss
  • Ajit R. Shenoy
Part of the Progress in Systems and Control Theory book series (PSCT, volume 24)

Abstract

In this paper we study the use of adjoints in.the calculation of design gradients for cost and constraint functionals in optimization-based aerodynamic design. While there is an extensive literature on numerical implementation of these ideas, the underlying mathematical treatment is usually quite formal. Here we focus on rigorous justification of the approach and on careful characterization of the underlying function spaces. One practical result is the demonstration that just as the flow variables may have internal jumps, so also may the associated adjoints. For a particular flow-matching problem we are able to characterize the jump by a transversality condition.

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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Eugene M. Cliff
    • 1
  • Matthias Heinkenschloss
    • 2
  • Ajit R. Shenoy
    • 3
  1. 1.Interdisciplinary Center for Applied MathematicsVirginia TechUSA
  2. 2.Department of Computational and Applied MathematicsRice UniversityRiceUSA
  3. 3.Department of MathematicsIowa State UniversityIowaUSA

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