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)


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.


Euler Equation Adjoint Method Optimal Shape Problem Aerodynamic Design Costate Equation 
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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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