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Point Vortex Dynamics Influenced by the Surface Motion [PDF]

Journal of Nonlinear Science
We study a coupled system of differential equations, which models the dynamics of fluid with a free surface and a point vortex in the body of the fluid. For long surface waves of small amplitude, the effects of the interaction between the waves and the point vortex are modeled within the framework of the Boussinesq regime.
Delia Ionescu-Kruse, Rossen I. Ivanov, Michail D. Todorov   +2 more
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Statistical Point Vortex Theories

2001
In a paper that initiated the modern treatment of “statistical hydrodynamics,” Onsager (1949) described a point vortex-based theory of turbulence that has proven to be remarkably fruitful, if not all together perfect, and which continues to produce a lively and growing literature.
openaire   +1 more source

A study of singularity formation in a vortex sheet by the point-vortex approximation

Journal of Fluid Mechanics, 1986
The initial-value problem for perturbations of a flat, constant-strength vortex sheet is linearly ill posed in the sense of Hadamard, owing to Kelvin-Helmholtz instability. Previous numerical studies of this problem have experienced difficulty in converging when the mesh was refined.
openaire   +2 more sources

Point-Vortex Dynamics

2006
S. Boatto, D. Crowdy
openaire   +1 more source

Collapse of n Point Vortices, Formation of the Vortex Sheets and Transport of Passive Markers

Energies, 2021
Henryk Kudela
exaly  

Self-similar Motions and Related Relative Equilibria in the N-point Vortex System

Journal of Dynamics and Differential Equations, 2020
Takeshi Gotoda
exaly  

Minimal polynomial systems for point vortex equilibria

Physica D: Nonlinear Phenomena, 2006
Kevin A O'Neil
exaly  

Long Time Computation of Two-Dimensional Vortex Sheet by Point Vortex Method

Journal of the Physical Society of Japan, 2003
June-Yub Lee, Sung-Ik Sohn, Sun-Chul Kim   +2 more
exaly  

Latitudinal point vortex rings on the spheroid

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2010
Sun-Chul Kim
exaly  

Statistical Mechanical Estimate of Energy Spectrum for N-Point Vortex Systems

Journal of the Physical Society of Japan, 2007
Hiroyuki Tomita, Mitsusada M Sano
exaly