Control of Transonic Shock Positions
Université Paris VI, IUF and INRIA, France; Pironneau@math.jussieu.fr.
We wish to show how the shock position in a nozzle could be controlled. Optimal control theory and algorithm is applied to the transonic equation. The difficulty is that the derivative with respect to the shock position involves a Dirac mass. The one dimensional case is solved, the two dimensional one is analyzed .
Mathematics Subject Classification: 35 / 65 / 76 / 93
Key words: Partial differential equations / control / calculus of variation / nozzle flow / sensitivity / transonic equation.
© EDP Sciences, SMAI, 2002