scholarly journals Chaotic scattering of the point vortex by falling circular cylinder

2015 ◽  
Vol 25 (2) ◽  
pp. 184-196
Author(s):  
S.V. Sokolov ◽  
◽  
I.S. Koltsov ◽  
Keyword(s):  
Circular Cylinder ◽  
Point Vortex ◽  
Chaotic Scattering

Visualizing Coherent and Fractal Structures in Numerical Experiments on Chaotic Advection in Fluids

2005 ◽  
Author(s):  
M. V. Budyansky ◽  
S. V. Prants
Keyword(s):  
Numerical Experiments ◽  
Fractal Structure ◽  
Point Vortex ◽  
Chaotic Advection ◽  
Mixing Zone ◽  
Background Current ◽  
Fractal Structures ◽  
Chaotic Scattering ◽  
And Topology ◽  
Fractal Properties

We investigate typical mixing and fractal properties of chaotic scattering of passive particles in open hydrodynamic flows taking as an example a model two-dimensional incompressible flow composed of a fixed point vortex and a background current with a periodic component, the model inspired by the phenomenon of topographic eddies over mountains in the ocean and atmosphere. We have found, described and visualized a non-attracting invariant chaotic set defining chaotic scattering, fractality, and trapping of incoming particles. Geometry and topology of chaotic scattering have been studied and visualized. Scattering functions in the mixing zone have been found to have a fractal structure with a complicated hierarchy that has been described in terms of strophes and epistrophes. Mixing, trapping, and fractal properties of passive particles have been studied under the influence of a white noise with different amplitudes and frequency ranges. A new effect of clustering the particles in a noised flow has been demonstrated in numerical experiments.

scholarly journals Falling motion of a circular cylinder interacting dynamically with a point vortex

2012 ◽  
pp. 617-628
Author(s):  
S. V. Sokolov ◽  
◽  
S. M. Ramodanov ◽  
Keyword(s):  
Circular Cylinder ◽  
Point Vortex

Falling motion of a circular cylinder interacting dynamically with a point vortex

2013 ◽  
Vol 18 (1-2) ◽  
pp. 184-193 ◽  
Author(s):  
Sergei V. Sokolov ◽  
Sergei M. Ramodanov
Keyword(s):  
Circular Cylinder ◽  
Point Vortex

Dynamics of a Circular Cylinder With a Passive Degree of Freedom Interacting With an Inviscid Fluid Containing a Point Vortex

2017 ◽  
Author(s):  
Phanindra Tallapragada ◽  
Beau Pollard ◽  
Vitaliy Fedonyuk
Keyword(s):  
Circular Cylinder ◽  
Minimal Model ◽  
Degrees Of Freedom ◽  
Point Vortex ◽  
Point Vortices ◽  
Degree Of Freedom ◽  
Inviscid Fluid ◽  
Recent Past ◽  
Internal Rotor ◽  
Mechanical Feedback

In the recent past the design of many aquatic robots has been inspired by the motion of fish. Actuated internal rotors or moving masses have been frequently used either for propulsion and or the control of such robots. However the effect of internal passive degrees of freedom or passive appendages on the motion of such robots is poorly understood. In this paper we present a minimal model that demonstrates the influence of passive degrees of freedom on an aquatic robot. The model is of a circular cylinder with a passive internal rotor, immersed in an inviscid fluid interacting with point vortices. We show through numerics that the motion of the cylinder containing a passive degree of freedom is significantly different than one without. These results show that the mechanical feedback via passive degrees of freedom could be a useful way to control the motion of aquatic robots.

Scattering of the point vortex by a falling circular cylinder

2015 ◽  
Vol 60 (11) ◽  
pp. 511-514
Author(s):  
S. V. Sokolov ◽  
I. S. Koltsov
Keyword(s):  
Circular Cylinder ◽  
Point Vortex

scholarly journals Chaotic scattering of two identical point vortex pairs revisited

2008 ◽  
Vol 20 (9) ◽  
pp. 093605 ◽  
Author(s):  
Laust Tophøj ◽  
Hassan Aref
Keyword(s):  
Point Vortex ◽  
Chaotic Scattering ◽  
Vortex Pairs ◽  
Identical Point
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