The repeated filamentation of vorticity interfaces

David G. Dritschel

doi:10.1016/0169-5983(88)90046-9

The repeated filamentation of vorticity interfaces

David G. Dritschel^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

Arbitrarily shallow, localised disturbances to the boundary of a uniform circular vortex are found to steepen to the point of ejecting a thin filament into the surrounding irrotational fluid after a time inversely proportional to the initial wave steepness squared. Subsequent to the formation of the first filament, a second filament is produced in the much shorter time inversely proportional to the vorticity within the vortex. This process appears to repeat itself endlessly, and the vortex boundary rapidly grows in complexity.

Original language	English
Pages (from-to)	78-82
Number of pages	5
Journal	Fluid Dynamics Research
Volume	3
Issue number	1-4
DOIs	https://doi.org/10.1016/0169-5983(88)90046-9
Publication status	Published - 1 Sept 1988

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AB - Arbitrarily shallow, localised disturbances to the boundary of a uniform circular vortex are found to steepen to the point of ejecting a thin filament into the surrounding irrotational fluid after a time inversely proportional to the initial wave steepness squared. Subsequent to the formation of the first filament, a second filament is produced in the much shorter time inversely proportional to the vorticity within the vortex. This process appears to repeat itself endlessly, and the vortex boundary rapidly grows in complexity.

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The repeated filamentation of vorticity interfaces

Abstract

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