Abstract
The effect of feedback flow control on the wake of a circular cylinder at a Reynolds number of 100 is investigated in direct numerical simulation. Our control approach uses a low dimensional model based on proper orthogonal decomposition (POD). The controller applies linear proportional and differential feedback to the estimate of the first POD mode. Actuation is implemented by displacing the cylinder normal to the flow. The closed loop feedback simulations explore the effect of both fixed phase and variable phase feedback on the wake. While fixed phase feedback is effective in reducing drag and unsteady lift, it fails to stabilize once the low drag state has been reached. Variable phase feedback, however, achieves the same drag and unsteady lift reductions while being able to stabilize the flow in the low drag state. In the low drag state, the near wake is entirely steady, while the far wake exhibits vortex shedding at a reduced intensity. We achieved a drag reduction of close to 90% of the vortex-induced drag, and also lowered the unsteady lift force by an order of magnitude.
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Siegel, S., Cohen, K., Mclaughlin, T. (2003). Low-Dimensional Feedback Control of the Von Karman Vortex Street at a Reynolds Number of 100. In: Benaroya, H., Wei, T.J. (eds) IUTAM Symposium on Integrated Modeling of Fully Coupled Fluid Structure Interactions Using Analysis, Computations and Experiments. Fluid Mechanics and its Applications, vol 75. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0995-9_29
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DOI: https://doi.org/10.1007/978-94-007-0995-9_29
Publisher Name: Springer, Dordrecht
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