Journal article
Stabilization of vortices in the wake of a circular cylinder using harmonic forcing
We explore whether vortex flows in the wake of a fixed circular cylinder can be stabilized using harmonic forcing. We use Fo¨ppl's point vortex model augmented with a harmonic point source-sink mechanism which preserves conservation of mass and leaves the system Hamiltonian. We discover a region of Lyapunov-stable vortex motion for an appropriate selection of parameters.
We identify four unique parameters that affect the stability of the vortices: the uniform flow velocity, vortex equilibrium positions, forcing amplitude, and forcing frequency. We assess the robustness of the controller using a Poincare´ section.
Language: | English |
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Year: | 2011 |
Pages: | 066308 |
ISSN: | 24700053 , 24700045 , 15502376 and 15393755 |
Types: | Journal article |
DOI: | 10.1103/PhysRevE.83.066308 |
ORCIDs: | Schilder, Frank and Brøns, Morten |