Point vortex dynamics within a background vorticity patch

D. Z. Jin; D. H.E. Dubin

doi:10.1063/1.1343484

Point vortex dynamics within a background vorticity patch

D. Z. Jin, D. H.E. Dubin

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16 Scopus citations

Abstract

Recent experiments and simulations have observed that the interaction of strong vortices with a low vorticity background can strongly affect the dynamics of both vortices and background. This paper considers an idealized model of this interaction. The background is treated as a patch of uniform vorticity with a nearly circular shape. The strong vortices are treated as point vortices, and their total circulation λ is assumed to be small compared to that of the background. It is found that Kelvin waves on the boundary of the background patch can be driven to large amplitude by the strong vortices, eventually resulting in wave breaking and filamentation. A multiscale analysis finds that the wave-breaking time scales as λ^-1 ln λ^-1, in agreement with contour dynamics simulations.

Original language	English (US)
Pages (from-to)	677-691
Number of pages	15
Journal	Physics of Fluids
Volume	13
Issue number	3
DOIs	https://doi.org/10.1063/1.1343484
State	Published - Mar 2001

All Science Journal Classification (ASJC) codes

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1063/1.1343484

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abstract = "Recent experiments and simulations have observed that the interaction of strong vortices with a low vorticity background can strongly affect the dynamics of both vortices and background. This paper considers an idealized model of this interaction. The background is treated as a patch of uniform vorticity with a nearly circular shape. The strong vortices are treated as point vortices, and their total circulation λ is assumed to be small compared to that of the background. It is found that Kelvin waves on the boundary of the background patch can be driven to large amplitude by the strong vortices, eventually resulting in wave breaking and filamentation. A multiscale analysis finds that the wave-breaking time scales as λ-1 ln λ-1, in agreement with contour dynamics simulations.",

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AB - Recent experiments and simulations have observed that the interaction of strong vortices with a low vorticity background can strongly affect the dynamics of both vortices and background. This paper considers an idealized model of this interaction. The background is treated as a patch of uniform vorticity with a nearly circular shape. The strong vortices are treated as point vortices, and their total circulation λ is assumed to be small compared to that of the background. It is found that Kelvin waves on the boundary of the background patch can be driven to large amplitude by the strong vortices, eventually resulting in wave breaking and filamentation. A multiscale analysis finds that the wave-breaking time scales as λ-1 ln λ-1, in agreement with contour dynamics simulations.

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Point vortex dynamics within a background vorticity patch

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