Abstract
The aim of this paper is to expose two different strategies for the optimal control of a three-dimensional global mode in a two-dimensional recirculation bubble. The formulation of the optimal control problem, that consists to reduce the energy growth of the global mode, depends on the characteristics of the actuation — unsteady and three-dimensional or steady and two-dimensional. A gradient-based optimization procedure is used and the gradient is evaluated using the adjoint of the stability equations in the former case and the adjoint of the stability equations as well as the adjoint of the base flow equations in the latter case.
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Marquet, O., Sipp, D., Jacquin, L. (2008). Strategies for Optimal Control of Global Modes. In: Morrison, J.F., Birch, D.M., Lavoie, P. (eds) IUTAM Symposium on Flow Control and MEMS. IUTAM Bookseries, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6858-4_42
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DOI: https://doi.org/10.1007/978-1-4020-6858-4_42
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-6857-7
Online ISBN: 978-1-4020-6858-4
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