Enrolment options

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

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