Velocity statistics in turbulent channel flow up to Reτ =4000

Journal of Fluid Mechanics

Volumn 742, Issue , 2014, Pages 171-191

  Bernardini, Matteo ^a   Pirozzoli, Sergio ^a   Orlandi, Paolo ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

turbulence simulation; turbulent boundary layers; turbulent flows

Indexed keywords

BOUNDARY LAYER FLOW; BOUNDARY LAYERS; COMPUTATIONAL COMPLEXITY; KINETIC ENERGY; KINETICS; REYNOLDS NUMBER; SPECTRAL DENSITY; TURBULENCE; TURBULENT FLOW; VELOCITY;

DIAGNOSTIC FUNCTIONS; FULL THREE-DIMENSIONAL; MEAN VELOCITY PROFILES; STREAM-WISE VELOCITIES; TURBULENCE KINETIC ENERGY; TURBULENCE SIMULATION; TURBULENT BOUNDARY LAYERS; TURBULENT CHANNEL FLOWS;

CHANNEL FLOW;

CHANNEL FLOW; FLOW VELOCITY; INCOMPRESSIBLE FLOW; KINETIC ENERGY; NUMERICAL MODEL; REYNOLDS NUMBER; TURBULENCE; TURBULENT FLOW; COMPUTER SIMULATION; FLOW MODELING; TURBULENT BOUNDARY LAYER; VISUALIZATION;

EID: 84894500819     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2013.674     Document Type: Article

References (52)

1. AFZAL, N. & YAJNIK, K. 1973 Analysis of turbulent pipe and channel flows at moderately large Reynolds number. J. Fluid Mech. 61, 23-31.
2. DEL ÁLAMO, J. C. & JIMÉNEZ, J. 2003 Spectra of the very large anisotropic scales in turbulent channels. Phys. Fluids 15, L41-L44.
3. DEL ÁLAMO, J. C. & JIMÉNEZ, J. 2006 Linear energy amplification in turbulent channels. J. Fluid Mech. 559, 205-213.
4. DEL ÁLAMO, J. C., JIMÉNEZ, J., ZANDONADE, P. & MOSER, R. D. 2004 Scaling of the energy spectra of turbulent channels. J. Fluid Mech. 500, 135-144.
5. BERNARDINI, M. & PIROZZOLI, S. 2009 A general strategy for the optimization of Runge-Kutta schemes for wave propagation phenomena. J. Comput. Phys. 228, 4182-4199.
6. BERNARDINI, M., PIROZZOLI, S., QUADRIO, M. & ORLANDI, P. 2013 Turbulent channel flow simulations in convecting reference frames. J. Comput. Phys. 232, 1-6.
7. BRADSHAW, P. 1967 Inactive motion and pressure fluctuations in turbulent boundary layers. J. Fluid Mech 30, 241-258
8. DEAN, R. B. 1978 Reynolds number dependence of skin friction and other bulk flow variables in two-dimensional rectangular duct flow. Trans. ASME: J. Fluids Engng 100, 215-223.
9. DEGRAAFF, D. B. & EATON, J. K. 2000 Reynolds-number scaling of the flat-plate turbulent boundary layer. J. Fluid Mech. 422, 319-346.
10. DURAND, W. F. 1935 Aerodynamic Theory. Springer.
11. FERCHICHI, M. & TAVOULARIS, S. 2000 Reynolds number effects on the fine structure of uniformly sheared turbulence. Phys. Fluids 12, 2942-2953.
12. FLORES, O. & JIMENEZ, J. 2010 Hierarchy of minimal flow units in the logarithmic layer. Phys. Fluids 22, 071704.
13. GUALA, M., HOMMEMA, S. E. & ADRIAN, R. J. 2006 Large-scale and very-large-scale motions in turbulent pipe flow. J. Fluid Mech. 554, 521-542.
14. HAMILTON, J. M., KIM, J. & WALEFFE, F. 1995 Regeneration mechanisms of near-wall turbulent structures. J. Fluid Mech. 287, 317-348.
15. HOYAS, S. & JIMÉNEZ, J. 2006 Scaling of velocity fluctuations in turbulent channels up to Re-D2003. Phys. Fluids 18, 011702.
16. HOYAS, S. & JIMÉNEZ, J. 2008 Reynolds number effects on the Reynolds-stress budgets in turbulent channels. Phys. Fluids 20, 101511.
17. HULTMARK, M., BAILEY, S. C. C. & SMITS, A. J. 2010 Scaling of near-wall turbulence in pipe flow. J. Fluid Mech. 649, 103-113.
18. HUNT, J. C. R. & MORRISON, J. F. 2001 Eddy structure in turbulent boundary layers. Eur. J. Mech. (B/Fluids) 19, 673-694.
19. HUTCHINS, N. & MARUSIC, I. 2007 Evidence of very long meandering features in the logarithmic region of turbulent boundary layers. J. Fluid Mech. 579, 1-28.
20. JIMÉNEZ, J. & HOYAS, S. 2008 Turbulent fluctuations above the buffer layer of wall-bounded flows. J. Fluid Mech. 611, 215-236.
21. JIMÉNEZ, J. & MOSER, R. D. 2007 What are we learning from simulating wall turbulence?. Phil. Trans. R. Soc. Lond. A 365, 715-732.
22. JIMÉNEZ, J. & PINELLI, A. 1999 The autonomous cycle of near-wall turbulence. J. Fluid Mech. 389, 335-359.
23. JIMÉNEZ, J., WRAY, A. A., SAFFMAN, P. G. & ROGALLO, R. S. 1993 The structure of intense vorticity in isotropic turbulence. J. Fluid Mech. 255, 65-90.
24. KIM, K. C. & ADRIAN, R. J. 1999 Very large-scale motion in the outer layer. Phys. Fluids 11, 417-422.
25. KIM, J. & MOIN, P. 1985 Application of a fractional-step method to incompressible Navier-Stokes equations. J. Comput. Phys. 59, 308-323.
26. KLEWICKI, J. C. 2010 Reynolds number dependence, scaling, and dynamics of turbulent boundary layers. Trans. ASME: J. Fluids Engng 132, 094001.
27. KLEWICKI, J. C. & FALCO, R. E. 1990 On accurately measuring statistics associated with small scale structure in a turbulent boundary layers using hot wire probes. J. Fluid Mech. 541, 21-54.
28. MANSOUR, N. N., KIM, J. & MOIN, P. 1988 Reynolds-stress and dissipation-rate budgets in a turbulent channel flow. J. Fluid Mech. 194, 15-44.
29. MARUSIC, I. & KUNKEL, G. J. 2010 Streamwise turbulence intensity formulation for flat-plate boundary layers. Phys. Fluids 22, 051704.
30. MARUSIC, I., MCKEON, B. J., MONKEWITZ, P. A., NAGIB, H. M., SMITS, A. J. & SREENIVASAN, K. R. 2010 Wall-bounded turbulent flows at high Reynolds numbers: Recent advances and key issues. Phys. Fluids 22, 065103.
31. MARUSIC, I., MONTY, J. P., HULTMARK, M. & SMITS, A. J. 2013 On the logarithmic region in wall turbulence. J. Fluid Mech. 716, R3.
32. MATHIS, R., HUTCHINS, N. & MARUSIC, I. 2009 Large-scale amplitude modulation of the small-scale structures in turbulent boundary layers. J. Fluid Mech. 628, 311-337.
33. MCKEON, B. J. & MORRISON, J. F. 2007 Asymptotic scaling in turbulent pipe flow. Phil. Trans. R. Soc. Lond. A 365, 771-787.
34. METZGER, M. M. & KLEWICKI, J. C. 2001 A comparative study of near-wall turbulence in high and low Reynolds number boundary layers. Phys. Fluids 13, 692-701.
35. MYDLARSKI, L. & WARHAFT, Z. 1996 On the onset of high-Reynolds-number grid-generated wind tunnel turbulence. J. Fluid Mech. 320, 331-368.
36. NAGIB, H. M. & CHAUHAN, K. A. 2008 Variations of von Kármán coefficient in canonical flows. Phys. Fluids 20, 101518.
37. NICKELS, T. B., MARUSIC, I., HAFEZ, S. M. & CHONG, M. S. 2005 Evidence of the k1 law in a high-Reynolds-number turbulent boundary layer. Phys. Rev. Lett. 95, 074501.
38. ORLANDI, P. 1997 Helicity fluctuations and turbulent energy production in rotating and nonrotating pipes. Phys. Fluids 9, 2045-2056.
39. ORLANDI, P. 2000 Fluid Flow Phenomena: A Numerical Toolkit. Kluwer.
40. PERRY, A. E. & ABELL, C. J. 1977 Asymptotic similarity of turbulence structures in smooth-and rough-walled pipes. J. Fluid Mech. 79, 785-799.
41. PERRY, A. E. & LI, J. D. 1990 Experimental support for the attached-eddy hypothesis in zeropressure-gradient turbulent boundary layers. J. Fluid Mech. 218, 405-438.
42. PIROZZOLI, S. & BERNARDINI, M. 2013 Probing high-Reynolds-number effects in numerical boundary layers. Phys. Fluids 25, 021704.
43. POPE, S. B. 2000 Turbulent Flows. Cambridge University Press.
44. ROGERS, M. M. & MOIN, P. 1987 The structure of the vorticity field in homogeneous turbulent flows. J. Fluid Mech. 176, 33-66.
45. SADDOUGHI, S. G. & VEERAVALLI, S. V. 1994 Local isotropy in turbulent boundary layers at high Reynolds number. J. Fluid Mech. 268, 333-372.
46. SCHULTZ, M. P. & FLACK, K. A. 2013 Reynolds-number scaling of turbulent channel flow. Phys. Fluids 25, 025104.
47. SILLERO, J., JIMÉNEZ, J. & MOSER, R. D. 2013 One-point statistics for turbulent wall-bounded flows at Reynolds numbers up to-C-2000. Phys. Fluids 25 (105102).
48. SIMENS, M. P., JIMÉNEZ, J., HOYAS, S. & MIZUNO, Y. 2009 A high-resolution code for a turbulent boundary layers. J. Comput. Phys. 228, 4218-4231.
49. SMITH, C. R. & METZLER, S. P. 1983 The characteristics of low-speed streaks in the near-wall region of a turbulent boundary layer. J. Fluid Mech. 129, 27-54.
50. TOWNSEND, A. A. 1961 Equilibrium layers and wall turbulence. J. Fluid Mech. 11, 97-120.
51. TOWNSEND, A. A. 1976 The Structure of Turbulent Shear Flow. 2nd edn. Cambridge University Press.
52. WU, X. & MOIN, P. 2008 A direct numerical simulation study on the mean velocity characteristics in turbulent pipe flow. J. Fluid Mech. 608, 81-112.