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DNS-based predictive control of turbulence: An optimal benchmark for feedback algorithms. (English) Zbl 1036.76027
From the summary: Direct numerical simulations (DNS) and optimal control theory are used in a predictive control setting to determine controls that effectively reduce the turbulent kinetic energy and drag of a turbulent flow in a plane channel at \(\text{Re}_\tau= 100\) and \(\text{Re}_\tau= 180\). Wall transpiration (unsteady blowin/suction) with zero net mass flux is used as the control. The algorithm for control optimization is based solely on the control objective and on nonlinear partial differential equation governing the flow, with no ad hoc assumptions other than the finite prediction horizon, \(T\), over which the control is optimized. Flow relaminarization, accompanied by a drag reduction of over 50%, is obtained in some of the control cases with the predictive control approach in direct numerical simulations of subcritical turbulent channel flows.

76F70 Control of turbulent flows
76F65 Direct numerical and large eddy simulation of turbulence
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