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Caustics of the vortex beams generated by vortex lenses and vortex axicons
Journal of the Optical Society of America A, 2020In this work, the propagation of vortex beams is treated using a catastrophe theory approach. Analytic expressions are deduced to describe caustic surfaces produced by vortex lenses and vortex axicons. The obtained analytics allow us to explain the formation of the shadow region along the optical axis for vortex beams using ...
Sergey I. Kharitonov+3 more
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Experimental Dynamics of a Vortex within a Vortex
Physical Review Letters, 2000We report the experimental dynamics of a new two-dimensional (2D) fluid phenomenon that occurs when an intense, pointlike vortex is placed within a diffuse, circular vortex. Our observations, made using strongly magnetized electron columns to model the 2D fluid, support the analysis performed by Jin and Dubin.
Daniel Durkin, Joel Fajans
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Interaction of a vortex ring with a piston vortex
Journal of Fluid Mechanics, 2002Recent studies on vortex ring generation, e.g. Rosenfeld et al. (1998), have highlighted the subtle effect of generation geometry on the final properties of rings. Experimental generation of vortex rings often involves moving a piston through a tube, resulting in a vortex ring being generated at the tube exit.
J. J. Allen, Bruno Auvity
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Convergence of the Vortex Method for Vortex Sheets
SIAM Journal on Numerical Analysis, 1989Summary: Computation of the evolution of vortex sheets is delicate because of Kelvin-Helmholtz instability and singularity formation (infinite curvature). Convergence of the point vortex method and the vortex blob method is demonstrated for vortex sheets with both spatial and temporal discretization and with simulated roundoff error.
Russel E. Caflisch, John Lowengrub
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Streamwise vortex interaction with a horseshoe vortex
Journal of Thermal Science, 2003Flow control in turbomachinery is very difficult because of the complexity of its fully 3-D flow structure. The authors propose to introduce streamwise vortices into the control of internal flows. A simple configuration of vortices was investigated in order to better understand the flow control methods by means of streamwise vortices.
Doerffer, P.+2 more
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Vortex Methods and Vortex Motion
1991Vortex phenomena in fluid flows and the experimental, theoretical, and numerical methods used to characterize them are discussed in reviews by leading experts. Chapters are devoted to an overview of vortex methods, the convergence of vortex methods, graphic displays from numerical simulations, physical vortex visualizations, the four principles of ...
James A. Sethian, Karl Gustafson
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Vortex Fluctuations in Vortex Liquids [PDF]
Results of Monte Carlo (MC) simulations of a lattice London model without pinning, carried out in order to study the nature of the vortex liquid state. are reported. Evidence for vortex-line lattice melting into an entengled vortex liquid in the isotropic model are presented. Results for the model with uniaxial anisotropy are also reported.
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