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Shape optimization governed by the quasi 1D Euler equations using an adjoint method

  • Angelo Iollo
  • Manuel D. Salas
  • Shlomo Ta'asan
3. Numerical Methods and Algorithms d) Euler/Navier-Stokes Equations
Part of the Lecture Notes in Physics book series (LNP, volume 453)

Abstract

In this paper we discuss a numerical approach for the treatment of optimal shape problems governed by the quasi one-dimensional Euler equations. In particular, we focus on flows with embedded shocks. We introduce a cost function and a set of Lagrange multipliers to achieve the minimum. So me results are given to illustrate the effectiveness of the method.

Keywords

Euler Equation Adjoint Method Optimal Shape Problem Aerodynamic Design Costate Equation 
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References

  1. [1]
    Iollo A. and Salas M.D. and Ta'asan S., “Shape Optimization Governed by the Euler Equations Using an Adjoint Method”, ICASE, 93-78, 1993Google Scholar
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    Ta'asan S. and Kuruvila G. and Salas M.D., “Aerodynamic Design and Optimization in One Shot”, 30th Aerospace Sciences Meeting and Exhibit, AIAA 92-005, Jan., 1992Google Scholar

Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • Angelo Iollo
    • 1
    • 2
  • Manuel D. Salas
    • 3
  • Shlomo Ta'asan
    • 2
    • 4
  1. 1.Dip. Ingegneria Aeronautica e SpazialePolitecnico di TorinoTorinoItaly
  2. 2.Institute for Computer Applications in Science and EngineeringHamptonUSA
  3. 3.NASA Langley Research CenterHamptonUSA
  4. 4.The Weizman Institute of ScienceRehovotIsrael

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