Geodesic
Theoretical and numerical analysis of wake vortices
D. Sipp1 ; F. Coppens1 ; L. Jacquin1
1 ONERA, 29, avenue de la Division Leclerc, BP 72 F-92322 CHATILLON CEDEX
ESAIM. Proceedings, Tome 7 (1999), pp. 397-407.

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The first part of the paper analyses the linear dynamics of a vortex pair thanks to a normal mode analysis. The basic flow is a superposition of two Lamb-Oseen vortices of radius a and distance b. The long-wave Crow instability and the short-wave Widnall instabilities are fully characterized for different aspect ratios a/b of the vortex pair. In particular, as a/b increases, it is shown that the antisymmetric Widnall instabilities are favoured for short-wave perturbations. This constitutes an explanation for the results obtained by Leweke Williamson (1998). The second part of the paper deals with turbulence in the Batchelor vortex. A 3D Large Eddy Simulation (LES) shows that, starting from a linearly unstable wake-type vortex, high levels of turbulence can be obtained. But, the mean-flow then rapidly evolves towards a stable state. These results are in accordance with those of Ragab Sreedhar (1995).
DOI : 10.1051/proc:1999037

D. Sipp 1 ; F. Coppens 1 ; L. Jacquin 1

1 ONERA, 29, avenue de la Division Leclerc, BP 72 F-92322 CHATILLON CEDEX 
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     title = {Theoretical and numerical analysis of wake vortices},
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     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:1999037/}
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D. Sipp; F. Coppens; L. Jacquin. Theoretical and numerical analysis of wake vortices. ESAIM. Proceedings, Tome 7 (1999), pp. 397-407. doi : 10.1051/proc:1999037. http://geodesic.mathdoc.fr/articles/10.1051/proc:1999037/

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