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

Domaine > Mécanique.

Descriptif

Objective
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.


Lecturer
Denis Sipp, ONERA/DAFE
denis.sipp@onera.fr

Content

-       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)

Parcours de rattachement

Format des notes

Numérique sur 20

Littérale/grade réduit

Pour les étudiants du diplôme Diplôme d'ingénieur de l'Ecole polytechnique

Le rattrapage est autorisé

    Pour les étudiants du diplôme Fluid Mechanics

    Le rattrapage est autorisé
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