Self-adaptation and viscous selection in concentrated two-dimensional vortex dipoles

Physics of Fluids

Volumn 12, Issue 2, 2000, Pages 245-248

  Sipp, Denis ^a   Jacquin, Laurent ^a   Cosssu, Carlo ^a,b  

^a ONERA   (France)

^b ECOLE POLYTECHNIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL ANALYSIS; TWO-DIMENSIONAL FLOW; VISCOSITY; VORTEX;

EID: 0034046537     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.870325     Document Type: Article

References (13)

1. L. Ting and R. Klein, Viscous Vortical Flows, Lecture Notes in Physics (Springer-Verlag, Berlin, 1991).
2. J. B. Flor and G. J. F. van Heijst, "An experimental study of dipolar vortex structures in a stratified fluid," J. Fluid Mech. 279, 101 (1994).
3. J. H. G. M. van Geffen and G. J. F. van Heijst, "Viscous evolution of 2D dipolar vortices," Fluid Dyn. Res. 22, 191 (1998).
4. B. Cantwell and N. Rott, "The decay of a viscous vortex pair," Phys. Fluids 31, 3213 (1988).
5. D. W. Moore and P. G. Saffman, "The instability of a straight vortex filament in a strain field," Proc. R. Soc. London, Ser. A 346, 413 (1975).
6. S. C. Crow, "Stability theory for a pair of trailing vorticies," AIAA J. 8, 2172 (1970).
7. T. Leweke and C. H. K. Willliamson, "Cooperative elliptic instability of a vortex pair," J. Fluid Mech. 360, 85 (1998).
8. P. Orlandi, G. F. Carnevale, S. K. Lele, and K. Shariff, "DNS study of stability of trailing vortices," Center for Turbulence Research, Stanford Proceedings of the Summer Program 1998, pp. 187.
9. D. duP. Donaldson and A. J. Bilanin, "Vortex wakes of conventional aircraft," AGARD-AG-204, May 1975.
10. H. Lamb, Hydrodynamics (Cambridge University Press, Cambridge, 1906).
11. V. V. Meleshko and G. J. F. van Heijst, "On Chaplygin's investigations of two-dimensional vortex structures in an inviscid fluid," J. Fluid Mech. 272, 157 (1994).
12. T. H. Lê, B. Troff, P. Sagaut, K. Dang-Tran, and T. P. Loc, ̂PEGASE: a Navier-Stokes solver for direct numerical simulation of incompressible flows," Int. J. Numer. Methods Fluids 24, 833 (1997).
13. P. G. Saffman, Vortex Dynamics (Cambridge University Press, Cambridge, 1992).