3D transition to turbulence in wake flows by means of direct numerical simulation

Flow, Turbulence and Combustion

Volumn 63, Issue 1, 2000, Pages 315-341

  Braza, Marianna ^a  

^a IMFT   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; INCOMPRESSIBLE FLOW; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; REYNOLDS NUMBER; THREE DIMENSIONAL; VORTEX FLOW; WAKES; WINGS;

DIRECT NUMERICAL SIMULATION; FLOW TRANSITION; GINZBURG-LANDAU MODEL;

TURBULENCE;

EID: 0033681426     PISSN: 13866184     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1009953418022     Document Type: Article

References (42)

1. Albarède, P. and Provansal, M., Quasi-periodic cylinder wakes and the Ginzburg-Landau model. J. Fluid Mech. 291 (1995) 191-222.
2. Allain, J., Braza, M., Faghani, D. and Persillon, H., The role of natural vortex dislocations in the transition to turbulence of the flow past a circular cylinder by DNS. In: Yoke, P., Sandham, N.D. and Kleiser, L. (eds), Symposium on Direct and Large Eddy Simulations, Isaac Newton Institute for Mathematical Sciences, Cambridge, U.K. Kluwer Academic Publishers, Dordrecht, (1999) pp. 347-357.
3. Allain, J., Analyse physique de mécanismes de transition tridimensionnelle dans le sillage d'un cylindre circulaire par simulation directe. Thèse de Doctorat, Institut National Polytechnique de Toulouse (1999).
4. Amsden, A.A. and Harlow, F.H., The SMAC method: A numerical technique for calculating incompressible fluid flows. Los Alamos Scientific Laboratory Report, LA-4370 (1970).
5. Barkley, D. and Henderson, R., Three-dimensional Floquet stability analysis of the wake of a circular cylinder. J. Fluid Mech. 322 (1996) 215-241.
6. Bloor, M.S., Transition to turbulence in the wake of a circular cylinder. J. Fluid Mech. 19 (1964) 290-304.
7. Braza, M., Chassaing, P. and Ha Minh, H., Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder. J. Fluid Mech. 165 (1986) 79-130.
8. Braza, M. Simulation numérique du décollement instationnaire externe par une formulation vitesse-pression. Alication à l'écoulement autour d'un cylindre. Thèse de Docteur-Ingénieur, Institut National Polytechnique de Toulouse (1981).
9. Braza, M., Analyse physique du comportement dynamique d'un écoulement externe, décollé, instationnaire, en transition laminaire-turbulente. Application: Cylindre circulaire. Thèse de Doctorat d'Etat-ès-Sciences, Institut National Polytechnique de Toulouse (1986).
10. Braza, M., Etude Expérimentale et numérique du décollement de la couche limite instationnaire sur modèle oscillant; Simulation numérique par résolution des équations de Navier-Stokes. II, rapport du contrat DRET (1991).
11. Braza, M., Méthode de résolution des équations de Navier-Stokes pour des écoulements 3-D ou 2-D instationnaires incompressibles: Code ICARE. Rapport Interne TELET-IMFT, No. 72 (1991).
12. Braza, M., Chassaing, P. and Ha Minh, H., Prediction of large-scale transition features in the wake of a circular cylinder. Phys. Fluids A 2(8) (1990) 1461-1471.
13. Douglas, J., Alternating Direction Methods for three-space variables. Numer. Math. 4 (1962) 41-63.
14. Drazin, P.G. and Reid, W.H., Hydrodynamic Stability. Cambridge University Press, Cambridge (1981).
15. Eisenlohr, H. and Eckelmann, H., Vortex splitting and its consequences in the vortex street wake of cylinder at low Reynolds numbers, Phys. Fluids A 1(2) (1989) 189-192.
16. Grossman, A., Morlet, J. and Paul, T., Integral transforms associated to square integrable representations. Internat. J. Math. Physics 27 (1985) 2473-2480.
17. Harlow, F.H. and Welch, J.E., Numerical calculation of the time-dependent viscous incompressible flow of fluids with free surface. Phys. Fluids 8(12) (1965).
18. Henderson, R.D., Nonlinear dynamics and pattern formation in turbulent wake transition. J. Fluid Mech. 352 (1997) 65-112.
19. Jackson, C.P., A finite-element study of the onset of vortex shedding in flow past variously shaped bodies. J. Fluid Mech. 182 (1987) 23-45.
20. Jin, G. and Braza, M., A non-reflecting outlet boundary condition for incompresible unsteady Navier-Stokes calculations. J. Comput. Phys. 107(2) (1993) 239-253.
21. Karniadakis, G.E. and Triantafyllou, G.S., Three-dimensional dynamics and transition to turbulence in the wake of bluff objects, J. Fluid Mech. 238 (1992) 1-30.
22. Landau, L.D., On the problem of turbulence. C.R. Acad. Sciences, URSS 44 (1944) 311-314.
23. Leweke, T. and Provansal, M., The flow behind rings: Bluff body wakes without end effects. J. Fluid Mech. 288 (1995) 265-310.
24. Leweke, T. and Williamson, C.H.K., Three-dimensional instabilities in wake transition, European J. Mech. B-Fluids, 17 (1998) 571-586.
25. Mittal, R. and Balachandar, S., Effect of three-dimensionality of the lift and drag of nominally two-dimensional cylinders, Phys. Fluids 7 (1995) 1841-1865.
26. Peaceman, D.W. and Rachford, H.H., The numerical solution of parabolic and elliptic differential equations. J. Soc. Indust. Appl. Math. 3(1) (1955) 28-41.
27. H. Persillon, H., Braza, M. and Jin, G., Prediction of transition features in the flow past a circular cylinder in three dimensions, In: Chung, J., Ellinas, C.P., Natvig, B.J. and Ueda, Y. (eds), Fifth International Offshore Mechanics and Polar Engineering Conference (ISOPE), Vol. 3(3), Section Vortex and Flow-Induced Vibrations. ISOPE, The Hague, (1995) pp. 103-115.
28. Persillon, H. and Braza, M., Physical analysis of the three-dimensional transition to turbulence in the flow around a circular cylinder by means of Direct Numerical Simulation. In: Gavrilakis, S., Machiels, L. and Monkewitz, P. (eds), Sixth European Turbulence Conference-ETC-VI, Lausanne. Kluwer Academic Publishers, Dordrecht (1996) pp. 375-378
29. Persillon, H., Braza, M. and Williamson, C., Three-dimensional coherent structures in the flow around a circular cylinder by direct numerical simulation. In: Sorensen, J.N., Hopfinger, E.J. and Aubry, N. (eds), IUTAM Symposium, Simulation and Identification of Organized Structures in Flows, Lyngby, Danmark. Kluwer Academic Publishers, Dordrecht (1997) pp. 339-351.
30. Persillon, H. and Braza, M., Physical analysis of the transition to turbulence in the wake of a circular cylinder by three-dimensional Navier-Stokes simulation. J. Fluid Mech. 365 (1998) 23-89.
31. Persillon, H., Braza, M. and Williamson, C., Three-dimensional vortex dynamics and dislocations in the wake of a circular cylinder. In: Bearman, P. and Williamson, C. (eds), Advances in the Understanding of Bluff Body Wakes. ASME, Washington, DC (1998).
32. Persillon, H., Analyse Physique par simulation numérique bi- et tri-dimensionnelle de la transition laminaire-turbulente dans l'écoulement autour d'un cylindre. Thèse de Doctorat, Institut National Polytechnique de Toulouse (1995).
33. Pomeau, Y., Remarks on bifurcations with symmetry. Chaos Solitons Fractals 5(9) (1995) 1755-1761.
34. Provansal, M., Mathis, C. and Boyer, L., Bénard-von Kàrmàn instability: Transient and forced regimes. J. Fluid Mech. 182 (1987) 1-22.
35. Rivet, J.P., Spontaneous symmetry-breaking in the 3D wake of a bluff cylinder, simulated by the lattice gas method. C.R. l'Acad. Sciences 313 (1991) 151-158.
36. Roshko, A., On the drag and shedding frequency of two-dimensional bluff bodies. NACA TN 3169 (1954).
37. Stuart, J.T., On the non-linear mechanics of wave disturbances in stable and unstable parallel flows. J. Fluid Mech. 9 (1960) 353-370.
38. Tritton, D.J., A note on vortex streets behind circular cylinders at low Reynolds numbers. J. Fluid Mech. 45(1) (1971) 203-208.
39. Waleffe, F., On the three-dimensional instability of strained vortices. Phys. Fluids A 2 (1) (1990) 76-80.
40. Williamson, C., Defining a universal and continuous Strouhal-Reynolds number relationship for the laminar vortex shedding of a circular cylinder. Phys. Fluids 31 (1988) 2742-2744.
41. Williamson, C., The natural and forced formation of spot-like vortex dislocations in the transition of a wake. J. Fluid Mech. 243 (1992) 393-442.
42. Williamson, C., Vortex dynamics in the cylinder wake. Ann. Rev. Fluid Mech. 28 (1996) 477-534.