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Reduced Models of Point Vortex Systems [PDF]
Entropy, 2018 Nonequilibrium statistical models of point vortex systems are constructed using an optimal closure method, and these models are employed to approximate the relaxation toward equilibrium of systems governed by the two-dimensional Euler equations, as well ...
Jonathan Maack, Bruce Turkington
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Offsprings of a point vortex [PDF]
European Physical Journal B, 2011 The distribution engendered by successive splitting of one point vortex are considered. The process of splitting a vortex in three using a reverse three-point vortex collapse course is analysed in great details and shown to be dissipative. A simple process of successive splitting is then defined and the resulting vorticity distribution and vortex ...
Barrat A
exaly +5 more sources
Entrapping of a vortex pair interacting with a fixed point vortex revisited. I. Point vortices [PDF]
Physics of Fluids, 2018 The problem of a pair of point vortices impinging on a fixed point vortex of arbitrary strengths [E. Ryzhov and K. Koshel, “Dynamics of a vortex pair interacting with a fixed point vortex,” Europhys. Lett. 102, 44004 (2013)] is revisited and investigated comprehensively.
Jean Noel Reinaud, Evgeny Ryzhov
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Applications of point vortex equilibria: blocking events and the stability of the polar vortex [PDF]
Tellus: Series A, Dynamic Meteorology and Oceanography, 2015 The present study investigates non-linear dynamics of atmospheric flow phenomena on different scales as interactions of vortices. Thereby, we apply the idealised, two-dimensional concept of point vortices considering two important issues in atmospheric ...
Annette Müller +5 more
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A transformation between stationary point vortex equilibria [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2020 A new transformation between stationary point vortex equilibria in the unbounded plane is presented. Given a point vortex equilibrium involving only vortices with negative circulation normalized to −1 and vortices with positive circulations that are ...
Adrian Constantin +2 more
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Point vortex interactions on a toroidal surface. [PDF]
Proc Math Phys Eng Sci, 2016 Owing to non-constant curvature and a handle structure, it is not easy to imagine intuitively how flows with vortex structures evolve on a toroidal surface compared with those in a plane, on a sphere and a flat torus. In order to cultivate an insight into vortex interactions on this manifold, we derive the evolution equation for
Sakajo T, Shimizu Y.
europepmc +4 more sources
Melting Transition of Vortex Lattice in Point Vortex Systems [PDF]
Journal of the Physical Society of Japan, 2012 Point vortices take a triangular lattice structure in a rotating system as a minimum energy state. We perform a numerical simulation of point vortex systems using initial conditions indicating that the triangular lattice is randomly perturbed. The total energy increases with the magnitude of the perturbation.
Hidetsugu Sakaguchi +1 more
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Mathematics, 2020 The theory of point vortices is used to explain the interaction of a surface vortex with subsurface vortices in the framework of a three-layer quasigeostrophic model.
Mikhail A. Sokolovskiy +2 more
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Microscopic study of the intermediate mixed state in intertype superconductors [PDF]
Beilstein Journal of NanotechnologyWe present a comprehensive microscopic study of the intermediate mixed state in superconductors of the intertype (IT) regime separating types I and II.
Vyacheslav D. Neverov +3 more
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Collapse of n Point Vortices, Formation of the Vortex Sheets and Transport of Passive Markers
Energies, 2021 In this paper, the motion of the n-vortex system as it collapses to a point in finite time is studied. The motion of vortices is described by the set of ordinary differential equations that we are able to solve analytically.
Henryk Kudela
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