Abstract
In this paper, we show by two-dimensional numerical simulation that it is possible to control vortex shedding behind a circular cylinder by inserting two small vortex perturbations in the flow. The control has the effect of suppressing vortex shedding, making the flow converge toward a stable, symmetric bubble at Reynolds number Re=100. Similar results are obtained at higher Reynolds number values, e.g. Re=1000, although the required strength of the control vortices is higher than at Re=100. At all Reynolds numbers investigated here, it is also possible to choose the control parameters in order to alter vortex shedding by generating a reversed Karman vortex street. Our control technique is inspired by the linear stability analysis of a potential vortex model which we report in the present manuscript. The model is used here to give us insight into the control problem and the similarity between the model and the real, viscous flow remains qualitative.
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