Results 261 to 270 of about 61,385 (293)

The interaction of an elliptical patch with a point vortex

Fluid Dynamics Research, 2000
Summary: An integrable model is proposed to analyze the two-dimensional asymmetrical interaction of two vortices, either co-rotating or counter-rotating, in the absence of viscosity. To this purpose two assumptions are made: one vortex is uniform and elliptical, and the other one is a point vortex. It follows a system with three degrees of freedom, for
RICCARDI, Giorgio, PIVA R.
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The point-circle vortex

Journal of Applied Mathematics and Mechanics, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Betyaev, S. K., Gaifullin, A. M., Gordeev, S. V.   +2 more
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Holtsmark Distributions in Point-Vortex Systems

Physical Review Letters, 2000
The statistics of uncorrelated point vortices in a plane is studied analytically and numerically. Theoretical distributions are obtained with the general method developed by Holtsmark [Ann. Phys. 58, 577 (1919)] and Chandrasekhar [Rev. Mod. Phys. 15, 1 (1943)]. They are found to agree with the results of numerical tests.
Kuvshinov, B.N., Schep, T.J.
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Hydrodynamics of a point vortex ring

Journal of Engineering Physics and Thermophysics, 1996
The kinematics and dynamics of a point vortex ring in an incompressible fluid and its interaction with a surface are considered.
V. I. Korobko, I. V. Chekh
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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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Decay of time correlations in point vortex systems [PDF]

Physica D: Nonlinear Phenomena
The dynamics of a large point vortex system whose initial configuration consists in uniformly distributed independent positions is investigated. Time correlations of local observables of the vortex configuration are shown to be compatible with power law ...
Francesco Grotto
exaly   +5 more sources

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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