Chaotic capture of vortices by a moving body. II. Bound pair model

Journal Article · Thu Dec 01 04:00:00 EST 1994 · Chaos (Woodbury, N.Y.); (United States)

DOI:https://doi.org/10.1063/1.166045· OSTI ID:6818841

Luithardt, H H ^[1]; Kadtke, J B ^[2]; Pedrizzetti, G ^[3]

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1. Institute for Nonlinear Science, MS-0402, University of California, San Diego, La Jolla, California 92093-0402 (United States)
2. Institute for Pure and Applied Physical Science, MS-0360, University of California, San Diego, La Jolla, California 92093-0360 (United States)
3. Dipartimento di Ingegneria Civile, Universita' di Firenze, via Santa Marta 3, 50139 Firenze (Italy)

Previously, we have presented a simple model for the interaction of a fluid vortex structure with a moving bluff body, and demonstrated the existence of a trapping mechanism related to chaotic scattering. This single point vortex model required explicit perturbation to generate chaos and the subsequent complex dynamics. Here, we present a model which attempts to introduce internal degrees-of-freedom in the vortex structure in the simplest manner, by replacing the single vortex with a like-signed pair. We show that this model exhibits chaotic trapping without the need of explicit perturbation, however, the region of parameter space for which trapping occurs is exceedingly small due to the spatially dependent form of the perturbation. We claim that this result explains some the behavior observed in Navier--Stokes simulations of the same vortex--body system, where we find close correspondence between the dynamics of an extended vorticity distribution and the single vortex model. Finally, we generalize the model to unequal strength vortex pairs, and find more complex behavior which includes partial'' capture of the weaker vortex by the body.

• OSTI ID: 6818841
• Journal Information: Chaos (Woodbury, N.Y.); (United States), Journal Name: Chaos (Woodbury, N.Y.); (United States) Vol. 4:4; ISSN CHAOEH; ISSN 1054-1500
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AERODYNAMICS
CAPTURE
DEGREES OF FREEDOM
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
FLUID MECHANICS
MECHANICS
NAVIER-STOKES EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIAL FLOW
VORTEX FLOW
VORTICES