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Stabilization of vortices in the wake of a circular cylinder using harmonic forcing.
MedLine Citation:
PMID:  21797478     Owner:  NLM     Status:  Publisher    
Abstract/OtherAbstract:
We explore whether vortex flows in the wake of a fixed circular cylinder can be stabilized using harmonic forcing. We use Föppl'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 Poincaré section.
Authors:
Georges C Chamoun; Frank Schilder; Morten Brøns
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Publication Detail:
Type:  JOURNAL ARTICLE     Date:  2011-6-10
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  83     ISSN:  1550-2376     ISO Abbreviation:  -     Publication Date:  2011 Jun 
Date Detail:
Created Date:  2011-7-29     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  -    
Other Details:
Languages:  ENG     Pagination:  066308     Citation Subset:  -    
Affiliation:
Department of Mathematics, Technical University of Denmark, Lyngby, DK-2800, Denmark and Center for Fluid Dynamics, Technical University of Denmark, Lyngby, DK-2800, Denmark.
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