Simulation of vortex reconnection

Robert M. Kerr; Fazle Hussain

doi:10.1016/0167-2789(89)90151-6

Simulation of vortex reconnection

Robert M. Kerr, Fazle Hussain

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

62 Scopus citations

Abstract

The reconnection of two antiparallel viscous vortices is simulated in a periodic domain. Reynolds numbers based on circulation divided by viscosity range from 1600 to 3200. Symmetries are used along with increased resolution in the direction normal to the dividing plane to reduce the computation requirements. As the Reynolds number is increased a significant increase in enstrophy is not seen, but there is a significant increase in the peak vorticity that is consistent with a singularity of the three-dimensional, incompressible Euler equations in a finite time. The reconnection region is characterized by vortex sheets and large relative helicity in the outer regions of the reconnection. A power law regime is found in energy spectra.

Original language	English (US)
Pages (from-to)	474-484
Number of pages	11
Journal	Physica D: Nonlinear Phenomena
Volume	37
Issue number	1-3
DOIs	https://doi.org/10.1016/0167-2789(89)90151-6
State	Published - Jul 1989

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/0167-2789(89)90151-6

Cite this

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title = "Simulation of vortex reconnection",

abstract = "The reconnection of two antiparallel viscous vortices is simulated in a periodic domain. Reynolds numbers based on circulation divided by viscosity range from 1600 to 3200. Symmetries are used along with increased resolution in the direction normal to the dividing plane to reduce the computation requirements. As the Reynolds number is increased a significant increase in enstrophy is not seen, but there is a significant increase in the peak vorticity that is consistent with a singularity of the three-dimensional, incompressible Euler equations in a finite time. The reconnection region is characterized by vortex sheets and large relative helicity in the outer regions of the reconnection. A power law regime is found in energy spectra.",

author = "Kerr, {Robert M.} and Fazle Hussain",

note = "Funding Information: ~,lvil,~ ,~,~,uuwl~ug~ support of ARO MiPR No. 129-87 at the National Center for Atmospheric Research. NCAR is funded by the Na- tional Science Foundation. FH acknowledges support of DOE Grant No. DE-FG05-88ER13839. Computing assistance from D. Virk is appreciated. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.",

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AU - Hussain, Fazle

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AB - The reconnection of two antiparallel viscous vortices is simulated in a periodic domain. Reynolds numbers based on circulation divided by viscosity range from 1600 to 3200. Symmetries are used along with increased resolution in the direction normal to the dividing plane to reduce the computation requirements. As the Reynolds number is increased a significant increase in enstrophy is not seen, but there is a significant increase in the peak vorticity that is consistent with a singularity of the three-dimensional, incompressible Euler equations in a finite time. The reconnection region is characterized by vortex sheets and large relative helicity in the outer regions of the reconnection. A power law regime is found in energy spectra.

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Simulation of vortex reconnection

Abstract

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