Friday, 11:00 - 11:25 h, Room: MA 415


Jane Ghiglieri
Optimal flow control based on POD and MPC for the cancellation of Tollmien-Schlichting waves by plasma actuators

Coauthor: Stefan Ulbrich


The occurrence of a transition in a flat plate boundary layer is characterized by the formation of growing disturbances inside the boundary layer, the Tollmien-Schlichting waves. Successful damping of these waves can delay transition for a significant distance downstream, lowering the skin friction drag of the body.
We consider plasma actuators which induce a body force for active flow control. By optimal control of the plasma actuator parameters it is possible to reduce or even cancel the Tollmien-Schlichting waves and delay the turbulence transition.
We present a Model predictive control (MPC) approach for the cancellation of Tollmien-Schlichting waves in the boundary layer of a flat plate. We use proper orthogonal decomposition (POD) for the low-order description of the flow model and the optimization of the control parameters is performed within the reduced system.
Furthermore, we will show methods for improving the reduced model whose quality is verified in comparison to the results of a finite element based simulation for the considered problem.
Finally, we present our cancellation results with this MPC approach in a numerical simulation.


Talk 2 of the contributed session Fri.1.MA 415
"Reduced order model based optimization" [...]
Cluster 19
"PDE-constrained optimization & multi-level/multi-grid methods" [...]


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