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Control of Transonic Shock Positions

Published online by Cambridge University Press:  15 August 2002

Olivier Pironneau
Olivier Pironneau*
Affiliation:
Université Paris VI, IUF and INRIA, France; [email protected].
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Abstract

We wish to show how the shock position in a nozzle could becontrolled. Optimal control theory and algorithm is applied to thetransonic equation. The difficulty is that the derivative withrespect to the shock position involves a Dirac mass. The onedimensional case is solved, the two dimensional one is analyzed .

Keywords

Partial differential equationscontrolcalculus ofvariationnozzle flowsensitivitytransonic equation.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 8: A tribute to JL Lions , 2002 , pp. 907 - 914
Copyright
© EDP Sciences, SMAI, 2002

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