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Project description

Active Control of Boundary-Layer Transition

Research area: Fluid mechanics
Project members:
Åkervik ,E.Å.
Berggren ,M
Chevalier,M.C.
Henningson,D.S.H.
Hoepffner ,J.P.J.
Högberg ,M.
Sponsor: FOI   NGSSC   VR  

Project description

Study and design of active control strategies for transition in boundary layer flows is done within this project. The control strategies are designed using the optimal-control approach to control of the Navier-Stokes equations and use the adjoint-equation technique for associated gradient computations. Linear optimal control techniques based on the Riccati equation are also explored, where spatially localized convolution kernals have been obtained for both control and estimation. The strategies are applied to control or delay of bypass transition as well as other flow instabilities. The performance of these control laws is quantified in direct numerical simulations by computing transition thresholds. We have shown that the threshold values can be increased by about 500% for random perturbations. By using a physically motivated modification of the objective function we have shown that the linear controllers are also able to relaminarize a low Reynolds number turbulent flow. A new direction of this research is to calculate and evaluate these controllers and estimators for more complicated boundary layer flows such as Falkner-Skan and Falkner-Skan-Cooke flows.

Related articles published in journals or conference proceedings

Year Title
2005
State estimation of wall bounded flow systems. Part 1. Laminar flows
J. Fluid Mech.  263--294
2003
Linear feedback control and estimation of transition in plane channel flow
J. Fluid Mech.  149-175
2003
Relaminarization of Re_tau=100 turbulence using gain scheduling and linear state-feedback control
Phys. Fluids  3572-3575
2003
Linear compensator control of a pointsource induced perturbation in a Falkner-Skan-Cooke boundary layer
Phys. Fluids  2449-2452
2002
Linear optimal control applied to instabilities in spatial boundary layers.
J. Fluid Mech.  151-179
2001
Optimal control of transition initiated by oblique waves in channel flow.
Turbulence and Shear Flow Phenomena - 2  157-161
2001
Optimal control of wall bounded flows
FOI-R-0182-SE  
2000
Optimal Control of Bypass Transition
Advances in Turbulence VIII. (2000) Proc. 8th European Turbulence Conference, Barcelona, Spain  205-208
2000
Spatially localized convolution kernels for feedback control of transitional flows
39th IEEE Conference on Decision and Control  3278-3283
2000
Numerical Approaches to Optimal Control of a Model Equation for Shear Flow Instabilities
Flow, Turbulence and Combustion. Kluwer Academic Publishers.  (3/4):299-320
1999
Numerical investigation of different discretization approaches for Optimal Control
FFA TN 1999-74  
1998
Secondary instability of cross-flow vortices in Falkner-Skan-Coke boundary layers.
J. Fluid Mech.  339-357

Internal reports

Year Title
2001 Optimal Control of Boundary Layer Transition
Published by: Webmaster at Mechanics, KTH
webmaster@mech.kth.se

Last changed: 2006-08-24