Reynolds number dependence of two-dimensional laminar co-rotating vortex merging

Theoretical and Computational Fluid Dynamics

Volumn 19, Issue 1, 2005, Pages 65-75

  Ferreira De Sousa, Paulo J S A ^a   Pereira, José C F ^a  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

Author keywords

2D Navier Stokes; Co rotating vortices; Compact finite differences

Indexed keywords

COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; INCOMPRESSIBLE FLOW; LAMINAR FLOW; NAVIER STOKES EQUATIONS; VORTEX FLOW;

2D NAVIER STOKES EQUATIONS; ANTISYMMETRIC VORTICITY DYNAMICS; CO-ROTATING VORTICES; COMPACT FINITE DIFFERENCES;

REYNOLDS NUMBER;

COMPUTATIONAL FLUID DYNAMICS;

EID: 21244457281     PISSN: 09354964     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00162-004-0154-0     Document Type: Article

References (18)

1. Cerretelli, C., Williamson, C.H.K.: Roll-up and merging of co-rotating trailing vortices. 53rd Annual Meeting of the American Physical Society's Division of Fluid Dynamics, 19-21 Nov, Washington DC (2000)
2. Cerretelli, C., Williamson, C.H.K.: The physical mechanism for vortex merging. J. Fluid Mech. 475, 41-77 (2003)
3. Christer, B., Johansson, V.: Boundary conditions for open boundaries for the incompressible Navier-Stokes equations. J. Comput. Phys. 105, 233-251 (1993)
4. Dritschel, D.G.: The stability and energetics of corotating uniform vortices. J. Fluid Mech. 157, 95-134 (1985)
5. Dritschel, D.G.: The nonlinear evolution of rotating configurations of uniform velocity. J. Fluid Mech. 172, 157-182 (1986)
6. Ferreira de Sousa, P.J.S.A., Pereira, J.C.F.: Open boundary conditions for the incompressible navier-stokes equations in staggered grids. Métodos Computacionais em Engenharia, Lisbon (2004)
7. Gerz, T., Holzäpfel, F., Darracq, D.: Commercial aircraft wake vortices. Prog. Aerosp. Sci. 38, 181-208 (2002)
8. Griffiths, R.W., Hopfinger, E.J.: Coalescing of geostrophic vortices. J. Fluid Mech. 178, 73-97 (1987)
9. Jimenez, J., Moffatt, H.K., Vasco, C.: The structure of the vortices in freely decaying two-dimensional turbulence. J. Fluid Mech. 313, 209-219 (1996)
10. Le Dizés, S., Verga, A.: Viscous interactions of two co-rotating vortices before merging. J. Fluid Mech. 467, 389-410 (2002)
11. Lele, S.K.: Compact finite difference schemes with spectral-like resolution. J. Comput. Phys. 103, 16-42 (1992)
12. Leweke, T., Meunier, P., Laporte, F., Darracq, D.: Controlled interaction of co-rotating vortices. ONERA-DLR Symposium, ODAS (2001)
13. McWilliams, J.C.: The vortices of two-dimensional turbulence. J. Fluid Mech. 219, 361-385 (1990)
14. Meunier, P., Ehrenstein, U., Leweke, T., Rossi, M.: A merging criterion for two-dimensional co-rotating vortices. Phys. Fluids 14, 2757-2766 (2002)
15. Meunier, P., Leweke, T.: Three-dimensional instability during vortex merging. Phys. Fluids 13, 2747-2750 (2001)
16. Roache, P.J.: Verification of Codes and Calculations. AIAA J. 36, 696-702 (1998)
17. Rossow, V.J.: Convective merging of vortex cores in lift-generated wakes. J. Aircraft 14, 283-290 (1977)
18. Spalart, P.R.: Airplane trailing vortices. Annu. Rev. Fluid Mech. 30, 107-138 (1998)