SHAPE OPTIMIZATION GOVERNED BY THE EULER EQUATIONS USING AN ADJOINT METHOD

Authors:
Angelo Iollo;Manuel D. Salas;Shlomo Ta''asan
Affiliations:
-;-;-
Venue:
SHAPE OPTIMIZATION GOVERNED BY THE EULER EQUATIONS USING AN ADJOINT METHOD
Year:
1993

Citing 0
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Abstract

In this paper we discuss a numerical approach for the treatment of optimal shape problems governed by the Euler equations. In particular, we focus on flows with embedded shocks. We consider a very simple problem: the design of a quasi-one-dimensional Laval nozzle. We introduce a cost function and a set of Lagrange multipliers to achieve the minimum. The nature of the resulting costate equations is discussed. A theoretical difficulty that arises for cases with embedded shocks is pointed out and solved. Finally, some results are given to illustrate the effectiveness of the method.