TY - JOUR

T1 - Stabilization of vortices in the wake of a circular cylinder using harmonic forcing

A1 - Chamoun,George Chaouki

A1 - Schilder,Frank

A1 - Brøns,Morten

AU - Chamoun,George Chaouki

AU - Schilder,Frank

AU - Brøns,Morten

PB - American Physical Society

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevE.83.066308

DO - 10.1103/PhysRevE.83.066308

JO - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)

JF - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)

SN - 1539-3755

IS - 6

VL - 83

SP - 066308

ER -