Statistics of spatial derivatives of velocity and pressure in turbulent channel flow

Physics of Fluids

Volumn 26, Issue 8, 2014, Pages

  Vreman, A W ^a   Kuerten, J G M ^b,c  

^a AKZO NOBEL CENTRAL RESEARCH   (Netherlands)

^b EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^c UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

BUDGET CONTROL; CHANNEL FLOW; PROBABILITY DENSITY FUNCTION; REYNOLDS NUMBER; STRAIN; TURBULENCE; WALL FLOW;

FIRST ORDER DERIVATIVES; FLUCTUATING VELOCITIES; INTERMITTENT BEHAVIORS; SMALL-SCALE GENERATIONS; STREAM-WISE VELOCITIES; TAYLOR-REYNOLDS NUMBER; TURBULENCE DISSIPATION; TURBULENT CHANNEL FLOWS;

VELOCITY;

EID: 84926179568     PISSN: 10706631     EISSN: 10897666     Source Type: Journal    
DOI: 10.1063/1.4891624     Document Type: Article

References (49)

1. J. Kim, "Progress in pipe and channel flow turbulence, 1961-2011," J. Turbul. 13(45), 1-19 (2011).
2. J. Jimenez, "Near-wall turbulence," Phys. Fluids 25, 101302 (2013).
3. J. Kim, P. Moin, and R. Moser, "Turbulence statistics in fully developed channel flow at low Reynolds number," J. Fluid Mech. 177, 133-166 (1987).
4. N. D. Sandham and L. Kleiser, "The late stages of transition to turbulence in channel flow," J. Fluid Mech. 245, 319-348 (1992).
5. R. D. Moser, J. Kim, and N. N. Mansour, "Direct numerical simulations of turbulent channel flow up to Ret = 590," Phys. Fluids 11, 943-945 (1999).
6. H. Abe, H. Kawamura, and Y. Matsuo, "Direct numerical simulation of a fully developed turbulent channel flow with respect to Reynolds number dependence," J. Fluids Eng. 123, 382-393 (2001).
7. J. C. del Á lamo and J. Jiménez, "Spectra of the very large anisotropic scales in turbulent channels," Phys. Fluids 15, L41-L43 (2003).
8. Z. W. Hu, C. L. Morfey, and N. D. Sandham, "Wall pressure and shear stress spectra from direct numerical simulations of channel flow up to Ret = 1440," AIAA J. 44, 1541-1549 (2006).
9. S. Hoyas and J. Jimenez, "Scaling of the velocity fluctuations in turbulent channels up to Ret = 2003," Phys. Fluids 18, 011702 (2006).
10. S. Hoyas and J. Jimenez, "Reynolds number effects on the Reynolds-stress budgets in turbulent channels," Phys. Fluids 20, 101511 (2008).
11. M. Kozuka, Y. Seki, and H. Kawamura, "DNS of turbulent heat transfer in a channel flow with a high spatial resolution," Int. J. Heat Fluid Flow 30, 514-524 (2009).
12. P. E. Hamlington, D. Krasnov, T. Boeck, and J. Schumacher, "Local dissipation scales and energy dissipation-rate moments in channel flow," J. Fluid Mech. 701, 419-429 (2012).
13. A. Lozano-Duŕan,O. Flores, and J. Jimenez, "The three-dimensional structure of momentum transfer in turbulent channels," J. Fluid Mech. 694, 100-130 (2012).
14. P. Lenaers, Q. Li, G. Brethouwer, P. Schlatter, and R. Örlü, "Rare backflow and extreme wall-normal velocity fluctuations in near-wall turbulence," Phys. Fluids 24, 035110 (2012).
15. A. W. Vreman and J. G. M. Kuerten, "Comparison of direct numerical simulation databases of turbulent channel flow at Ret = 180," Phys. Fluids 26, 015102 (2014).
16. T. A. Oliver, N.Malaya, R. Ulerich, and R. D. Moser, "Estimating uncertainties in statistics computed from direct numerical simulation," Phys. Fluids 26, 035101 (2014).
17. M. Bernardini, S. Pirozolli, and P. Orlandi, "Velocity statistics in turbulent channel flow up to Ret = 4000," J. Fluid Mech. 742, 171-191 (2014).
18. A. Lozano-Duŕan and J. Jimenez, "Effect of the computational domain on direct simulations of turbulent channels up to Ret = 4200," Phys. Fluids 26, 011702 (2014).
19. H. M. Blackburn, N. N. Mansour, and B. J. Cantwell, "Topology of fine-scale motions in turbulent channel flow," J. Fluid Mech. 310, 269-292 (1996).
20. J. M.Wallace, "Twenty years of experimental and direct numerical simulation access to the velocity gradient tensor: What have we learned about turbulence?," Phys. Fluids 21, 021301 (2009).
21. G. K. Batchelor and A. A. Townsend, "Decay of vorticity in isotropic turbulence," Proc. R. Soc. London, Ser. A 190, 534-555 (1947).
22. G. K. Batchelor and A. A. Townsend, "The nature of turbulent motion at large wave-numbers," Proc. R. Soc. London, Ser. A 199, 238-255 (1949).
23. A. A. Townsend, "On the fine-scale structure of turbulence," Proc. R. Soc. London, Ser. A 208, 534-542 (1951).
24. R. A. Antonia, J. Kim, and L. W. B. Browne, "Some characteristics of small-scale turbulence in a turbulent duct flow," J. Fluid Mech. 233, 369-388 (1991).
25. N. N. Mansour, J. Kim, and P. Moin, "Reynolds-stress and dissipation-rate budgets in turbulent channel flow," J. Fluid Mech. 194, 15-44 (1988).
26. H. Tennekes and J. L. Lumley, A First Course in Turbulence (The MIT Press, Cambridge, MA, 1972).
27. R. A. Antonia and J. Kim, "Low-Reynolds-number effects on near-wall turbulence," J. Fluid Mech. 276, 61-80 (1994).
28. J. J. Gorski, J. M. Wallace, and P. S. Bernard, "The enstrophy equation budget of bounded turbulent shear flows," Phys. Fluids 6, 3197-3199 (1994).
29. S. Tavoularis, J. C. Bennett, and S. Corrsin, "Velocity-derivative skewness in small Reynolds number, nearly isotropic turbulence," J. Fluid Mech. 88, 63-69 (1978).
30. H. Ueda and J. O. Hinze, "Fine-structure turbulence in the wall region of a turbulent boundary layer," J. Fluid Mech. 67, 125-143 (1975).
31. A. Vincent and M. Meneguzzi, "The spatial and statistical properties of homogeneous turbulence," J. Fluid Mech. 225, 1-20 (1991).
32. J. Jimenez, A. A. Wray, P. G. Saffman, and R. S. Rogallo, "The structure of intense vorticity in isotropic turbulence," J. Fluid Mech. 255, 65-90 (1993).
33. A. Pumir, "A numerical study of pressure fluctuations in three-dimensional, incompressible, homogeneous, isotropic turbulence," Phys. Fluids 6, 2071-2083 (1994).
34. P. Vedula and P. K. Yeung, "Similarity scaling of acceleration and pressure statistics in numerical simulations of isotropic turbulence," Phys. Fluids 11, 1208-1220 (1999).
35. N. Cao, S. Chen, and G. D. Doolen, "Statistics and structures of pressure in isotropic turbulence," Phys. Fluids 11, 2235-2250 (1999).
36. T. Ishihara, Y. Kaneda, M. Yokokawa, K. Itakura, and A. Uno, "Small-scale statistics in high-resolution direct numerical simulation of turbulence: Reynolds number dependence of one-point velocity gradient statistics," J. Fluid Mech. 592, 335-366 (2007).
37. A. J. Majda and A. L. Bertozzi, Vorticity and Incompressible Flow (Cambridge University Press, Cambridge, 2002).
38. P. Bradshaw and B. Perot, "A note on turbulent energy dissipation in the viscous wall region," Phys. Fluids A 5, 3305-3306 (1993).
39. G. K. Batchelor, The Theory of Homogeneous Turbulence (Cambridge University Press, Cambridge, 1960).
40. T. de Karman and L. Howarth, "On the statistical theory of isotropic turbulence," Proc. R. Soc. London, Ser. A 164, 192-214 (1938).
41. S. B. Pope, Turbulent Flows (Cambridge University Press, Cambridge, 2000).
42. J. G. M. Kuerten, C. W. M. van der Geld, and B. J. Geurts, "Turbulence modification and heat transfer enhancement by inertial particles in turbulent channel flow," Phys. Fluids 23, 123301 (2011).
43. B. J. Geurts and J. G. M. Kuerten, "Ideal stochastic forcing for the motion of particles in large-eddy simulation extracted from direct numerical simulation of turbulent channel flow," Phys. Fluids 24, 081702 (2012).
44. P. R. Spalart, R. D. Moser, andM.M. Rogers, "Spectral methods for the Navier-Stokes equations with one infinite and two periodic directions," J. Comput. Phys. 96, 297-324 (1991).
45. S. G. Saddoughi and S. V. Veeravalli, "Local isotropy in turbulent boundary layers at high Reynolds number," J. Fluid Mech. 268, 333-372 (1994).
46. J. Jimenez, "How linear is wall-bounded turbulence?," Phys. Fluids 25, 110814 (2013).
47. Y. Kaneda, T. Ishihara, M. Yokokawa, K. Itakura, and A. Uno, "Energy dissipation rate and energy spectrum in high resolution direct numerical simulations of turbulence in a periodic box," Phys. Fluids 15, L21-L24 (2003).
48. V. Yakhot, "Pressure-velocity correlations and scaling exponents in turbulence," J. Fluid Mech. 495, 135-143 (2003).
49. P. Moin and J. Kim, "Numerical investigation of turbulent channel flow," J. Fluid Mech. 118, 341-377 (1982).