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Self-adaptation and viscous selection in concentrated two-dimensional vortex dipoles
Abstract : In this Letter we deal with 2D direct numerical simulations of concentrated vortex dipoles. We show that various initial dipolar vorticity distributions evolve towards a specific family of dipoles parametrized by the dipole aspect ratio a/b, where a is the radius of the vortices based on the vorticity polar moment in half a plane and b is the separation between the vortex centroids. This convergence is achieved through viscous effects. The considered Reynolds numbers Re= G/v are Re= 3000 and Re= 15000. Moreover, all the dipoles of this family are quasi-steady solutions of the Euler equations. Their scatter plots and drift velocities are given for a/b<03. © 2000 American Institute of Physics.
Cited literature [6 references]
https://hal-polytechnique.archives-ouvertes.fr/hal-01025367
Contributor : Denis Roura <>
Submitted on : Thursday, September 11, 2014 - 2:07:11 PM
Last modification on : Friday, June 26, 2020 - 2:02:05 PM
Long-term archiving on: : Friday, December 12, 2014 - 10:07:25 AM
Contributor : Denis Roura <>
Submitted on : Thursday, September 11, 2014 - 2:07:11 PM
Last modification on : Friday, June 26, 2020 - 2:02:05 PM
Long-term archiving on: : Friday, December 12, 2014 - 10:07:25 AM
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