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PA - C8 - MEC651 : Instabilities and Control of Shear Flows

Domaine > Mécanique.


The objective of the course is to introduce and adapt modern flow control techniques in order to stabilize flow instabilities and therefore delay transition to turbulence. Both open-loop and closed-loop control strategies will be presented.

These issues play a crucial role in both aeronautical and mechanical engineering applications.

Denis Sipp, ONERA/DAFE


-       Instabilities and global modes in open shear-flows.

-       Open-loop control with adjoint methods: variational formulation, adjoint operators, adjoint global modes, eigenvalue sensitivity.

-       Open-loop control with amplitude equations: the forced Van der Pol oscillator, multiple time-scale analysis, compatibility condition, bifurcation analysis in real systems.

-       Model reduction with balanced truncation: input/output dynamics, observability and controllability Gramians, Hankel singular-values, balanced basis.

-       Closed-loop control with estimator / controller setup:  Riccati-based feedback control , full-state information control,  partial state information control, estimation and Kalman filtering.

All concepts will be illustrated on cylinder and open-cavity flows.

The students will work on the concepts in class thanks to numerical codes based on FreeFem++ and Matlab.

Requirements : Introduction to hydrodynamic instabilities (MEC631). Fundamental notions of fluid mechanics

Credits ECTS : 3

Diplôme(s) concerné(s)

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Numérique sur 20

Littérale/grade réduit

Pour les étudiants du diplôme Fluid Mechanics

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    L'UE est acquise si note finale transposée >= C
    • Crédits ECTS acquis : 3 ECTS

    Pour les étudiants du diplôme Echanges PEI

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