Direct simulation of transition in an oscillatory boundary layer

Journal of Fluid Mechanics

Volumn 371, Issue , 1998, Pages 207-232

  Vittori, G ^a   Verzicco, R ^b  

^a UNIVERSITY OF GENOA   (Italy)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYER FLOW; COMPUTER SIMULATION; LAMINAR FLOW; NAVIER STOKES EQUATIONS; OSCILLATIONS; PRESSURE; TURBULENCE; TURBULENT FLOW;

OSCILLATORY BOUNDARY LAYER; PRESSURE GRADIENT;

COMPUTATIONAL FLUID DYNAMICS;

EID: 0032154776     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S002211209800216X     Document Type: Article

References (26)

1. AKHAVAN, R., KAMM, R. D. & SHAPIRO, A. H. 1991 a An investigation of transition to turbulence in bounded oscillatory Stokes flows. Part. 1. Experiments. J. Fluid Mech. 225, 395-422.
2. AKHAVAN, R., KAMM, R. D. & SHAPIRO, A. H. 1991 b An investigation of transition to turbulence in bounded oscillatory Stokes flows. Part 2. Numerical simulations. J. Fluid Mech. 225, 423-444.
3. BEAM, R. M. & WARMING, R. F. 1976 An implicit finite-difference algorithm for hyperbolic system in conservation-law form. J. Comput. Phys. 22, 87.
4. BLONDEAUX, P. 1990 Sand ripples under sea waves. Part 1. Ripple formation. J. Fluid Mech. 218, 1-17.
5. BLONDEAUX, P. & SEMINARA, G. 1979 Transizione incipiente al fondo di un'onda di gravitá. Rendiconti Accad. Naz. Lincei 67, 407-417.
6. BLONDEAUX, P. & VITTORI, G. 1994 Wall imperfections as a triggering mechanism for Stokes-layer transition. J. Fluid Mech. 264, 107-135.
7. COWLEY, S. J. 1987 High frequency Rayleigh instability of Stokes layers. In. Stability of Time Dependent and Spatially Varying Flows (ed. D. L. Dwayee & M. Y. Hussaini), pp. 261-275. Springer.
8. ECKMANN, D. M. & GROTBERG, J. B. 1991 Experiments on transition to turbulence in oscillatory pipe flow. J. Fluid Mech. 222, 329-350.
9. HALL, P. 1978 The linear stability of flat Stokes layers. Proc. R. Soc. Lond. A 359, 151-166.
10. HINO, M., KASHIWAYANAGI, M., NAKAYAMA, A. & HARA, T. 1983 Experiments on the turbulence statistics and the structure of a reciprocating oscillatory flow. J. Fluid Mech. 131, 363-400.
11. HINO, M., SAWAMOTO, M. & TAKASU, S. 1976 Experiments on transition to turbulence in an oscillatory pipe flow. J. Fluid Mech. 75, 193-207.
12. HINZE, J. O. 1959 Turbulence. McGraw-Hill.
13. JENSEN, B. L., SUMER, B. M. & FREDSØE, J. 1989 Turbulent oscillatory boundary layers at high Reynolds numbers. J. Fluid Mech. 206, 265-297.
14. KIM, J. & MOIN, P. 1985 Application of a fractional-step method to incompressible Navier-Stokes equations. J. Comput. Phys. 59, 308.
15. MONKEWITZ, A. A. 1983 Lineare stabilitals untersuchungen an den oszillierenden Grenzschichten von Stokes. PhD thesis 7297, Federal Institute of Technology, Zurich, Switzerland.
16. ORLANDI, P. 1989 A numerical method for direct simulation of turbulence in complex geometries. Annual Research Brief, 215. Center for Turbulence Research. Stanford University.
17. RAI, M. M. & MOIN, P. 1991 Direct simulations of turbulent flow using finite-difference schemes. J. Comput. Phys. 96, 15.
18. SARPKAYA, T. 1993 Coherent structures in oscillatory boundary layers. J. Fluid Mech. 253, 105-140.
19. th Symp. on Turbulent Shear Flows, Toulouse 7-9 September (ed. F. Durst, B. Launder, F. Schmidt & J. Whitelaw).
20. STOKES, G. G. 1855 On the effects of internal friction of fluids on the motion of pendulums. Trans. Comb. Phil. Soc. 9.
21. TROMANS, P. 1976 The stability of oscillatory pipe flow. Abstract of lecture given at Euromech 73: Oscillatory Flown in Ducts, Aix-en-Provence, April 13-15.
22. VERZICCO, R. & VITTORI, G. 1996 Direct simulation of transition in a Stokes boundary Layer Phys. Fluids 8, 1341-1343.
23. VITTORI, G. 1992 Flow Held induced by sea waves over brick-pattern ripples. J. Hydraulic Engng ASCE 118, 1241.
24. VON KERCZEK, C. & DAVIS, S. H. 1974 Linear stability theory of oscillatory Stokes layers. J. Fluid Mech. 62, 753-773.
25. WU, X. 1992 The nonlinear evolution of high-frequency resonant triad waves in an oscillatory Stokes layer at high Reynolds number. J. Fluid Mech. 245, 553-597.
26. WU, X., LEE, S. S. & COWLEY, S. J. 1995 On the weakly nonlinear three-dimensional instability of shear layers to pairs of oblique waves: the Stokes layer as a paradigm. J. Fluid Mech. 253, 681-721.