Flow control applied to transitional flows: input-output analysis, model reduction and control. Dan Henningson collaborators Shervin Bagheri, Espen Åkervik Luca Brandt, Peter Schmid. Outline. Introduction with input-output configuration
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Shervin Bagheri, Espen Åkervik
Luca Brandt, Peter Schmid
Global modes of the Blasius boundary layer
Optimal disturbances in Blasius flow
From all inputs to all outputs
Find an optimal control signal f(t) based on the measurements y(t) such that in the presence of external disturbances w(t) and measurement noise g(t) the output z(t) is minimized.
Expensive ControlPerformance of controlled system
Countair rotating vortex pair
Shear layer vortices
Steady-stateBasic state and impulse response
1st global mode
Global mode energy
Åkervik E., Hoepffner J., Ehrenstein U. & Henningson, D.S. 2007. Optimal growth, model reduction and control in a separated boundary-layer flow using global eigenmodes. J. Fluid Mech. 579: 305-314.
Reduced model of real system/flow