A Bibliography of Vortex Dynamics 1858–1956

Meleshko, V. V.; Aref, Hassan

doi:10.1016/s0065-2156(07)41003-1

Cited by 46 publications

(1 citation statement)

References 127 publications

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“…The theory of point vortices (vertical vortex lines of finite length) in a flat liquid layer, going back to the pioneering works of Helmholtz, Kirchhoff, Gröbli, and Thomson (Lord Kelvin) [1][2][3][4][5], arose to a large extent from the need to explain the properties of vortex movements in the atmosphere and ocean. Further development of the theory of point vortices is reflected in monographs and reviews [6][7][8][9][10][11][12][13][14][15][16]. The classical concept of point vortices was used in problems of meteorology [17][18][19][20][21][22][23] and oceanography in [24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling of Vortex Interaction Using a Three-Layer Quasigeostrophic Model. Part 1: Point-Vortex Approach

2020

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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. Theory and numerical experiments are used to calculate the interaction between one surface and one subsurface vortex. Then, the configuration with one surface vortex and two subsurface vortices of equal and opposite vorticities (a subsurface vortex dipole) is considered. Numerical experiments show that the self-propelling dipole can either be captured by the surface vortex, move in its vicinity, or finally be completely ejected on an unbounded trajectory. Asymmetric dipoles make loop-like motions and remain in the vicinity of the surface vortex. This model can help interpret the motions of Lagrangian floats at various depths in the ocean.

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