Stabilization of vortices in the wake of a circular cylinder using harmonic forcing

Publication: Research - peer-reviewJournal article – Annual report year: 2011

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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.
Original languageEnglish
JournalPhysical Review E (Statistical, Nonlinear, and Soft Matter Physics)
Volume83
Issue number6
Pages (from-to)066308
ISSN1539-3755
DOIs
StatePublished - 2011
Peer-reviewedYes
CitationsWeb of Science® Times Cited: 1
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