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Rosenhead’s point vortex approximation revisited

Physics of Fluids A: Fluid Dynamics, 1993
The time evolution of a vortex sheet is calculated by using a simple generalization of Rosenhead’s point vortex approximation. The results confirm that the vortex sheet develops a singularity in curvature at a finite time. Numerical evidence of the rolling up of the vortex sheet is presented.
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Point Vortex Dynamics

2015
Vortex dynamics is an interdisciplinary topic of interest in many areas of Mathematical Physics, with special importance in Hydrodynamics. The objective of this chapter is to present some illustrative models.
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Generalized point-vortex model for the motion of a dipole-vortex on the β-plane

Fluid Dynamics Research, 1998
Summary: In this paper, several refinements of the point-vortex model to describe the motion of a dipole vortex on the \(\beta\)-plane are undertaken. These include the effects of finite \(\beta\), squeezing and stretching of the dipole vortices due to bottom topography, and effects of the secondary vorticity field associated with the advection of the ...
Shivamoggi, B. K., Van Heijst, G. J.F.
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Dynamics of Point Vortex Singularities

2017
This chapter focuses on localized vortices in an incompressible fluid. We consider in detail a class of point vortices that can serve as an example of single hydrodynamic quasiparticles. The interaction and movement of even a small finite number of these vortices generate complex hydrodynamic flows.
Anatoli Tur, Vladimir Yanovsky
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Dissipative N-point-vortex Models in the Plane

Journal of Nonlinear Science, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Collapse of point vortex lattices

Physica D: Nonlinear Phenomena, 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Flux expulsion by a point vortex

European Journal of Mechanics - B/Fluids, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Artificial Intelligent Methods for the Location of Vortex Points

2020
The ability to precisely determine the position of the optical vortex is necessary to increase the accuracy of existing measurement methods using these singularities as markers. In this manuscript we will show that the method of deep learning of neural networks gives these possibilities.
Ewa Fraczek, Bartosz Idzkowski
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Point-Vortex Approach in Two-Dimensional Turbulence

Физика плазмы, 2016
The properties of two-dimensional turbulence in a circular domain are investigated within the framework of the punctuated point-vortex model. Vortex dynamics is governed by Hamiltonian equations, and it is interrupted by instantaneous events resulting in vortex merging.
B. N. Kuvshinov, T. J. Schep
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