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

George Chaouki Chamoun, Frank Schilder, Morten Brøns

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    Abstract

    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
    Volume83
    Issue number6
    Pages (from-to)066308
    ISSN2470-0045
    DOIs
    Publication statusPublished - 2011

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