Lagrangian statistics of turbulent channel flow at Reτ = 950 calculated with direct numerical simulation and Langevin models

Physics of Fluids

Volumn 25, Issue 10, 2013, Pages

  Kuerten, J G M ^a,b   Brouwers, J J H ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

CHANNEL FLOW; DIRECT NUMERICAL SIMULATION; LAGRANGE MULTIPLIERS; NUMERICAL MODELS; REYNOLDS NUMBER; SHEAR FLOW; VELOCITY CONTROL;

KOLMOGOROV CONSTANT; KOLMOGOROV THEORY; LAGRANGIAN STATISTICS; ONSAGER SYMMETRY; SHEAR VELOCITIES; STATISTICAL QUANTITY; TIME CORRELATIONS; TURBULENT CHANNEL FLOWS;

WALL FLOW;

EID: 84887007493     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4824795     Document Type: Article

References (23)

1. Monin A.S. Yaglov A.M. Statistical Fluid Mechanics, Mechanics of Turbulence 2007, I. and (Dover, New York)
2. Thomson D.J. Criteria for the selection of stochastic models of particle trajectories in turbulent flow. J. Fluid Mech. 1987, 180:529. 10.1017/S0022112087001940
3. Brouwers J.J. H. On diffusion theory in turbulence. J. Eng. Math. 2002, 44:277. 10.1023/A:1020962403844
4. Sawford B.L. Recent development in the Lagrangian stochastic theory of turbulent dispersion. Boundary-Layer Meteorol. 1993, 62:197. 10.1007/BF00705555
5. Pope S.B. Turbulent Flows 2000, (Cambridge University Press, Cambridge, UK).
6. Wilson J.D. Sawford B.L. Review of Lagrangian stochastic models for trajectories in the turbulent atmosphere. Boundary-Layer Meteorol. 1996, 78:191. 10.1007/BF00122492
7. Brouwers J.J. H. Langevin and diffusion equation of turbulent fluid flow. Phys. Fluids 2010, 22:085102. 10.1063/1.3466658
8. Brouwers J.J. H. Brouwers J.J. H. Langevin equation of a fluid particle in wall-induced turbulence. Teor. Mat. Fiz. 2010, 163:328. 10.1007/s11232-010-0050-2, 10.4213/tmf6503, [(in Russian)].
9. Brouwers J.J. H. Statistical description of turbulent dispersion. Phys. Rev. E 2012, 86:066309. 10.1103/PhysRevE.86.066309
10. Falkovich G. Xu H. Pumir A. Bodenschatz E. Biferale L. Boffetta G. Lanotte A.S. Toschi F. On Lagrangian single-particle statistics. Phys. Fluids 2012, 24:055102. 10.1063/1.4711397
11. Hoyas S. Jiménez J. Scaling of velocity fluctuations in turbulent channels up to Reτ = 2000. Phys. Fluids 2006, 18:011702. 10.1063/1.2162185
12. Geurts B.J. Kuerten J.G. M. Ideal stochastic forcing for the motion of particles in large-eddy simulation extracted from direct numerical simulation of turbulent channel flow. Phys. Fluids 2012, 24:081702. 10.1063/1.4745857
13. Kim J. Moin P. Moser R. Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 1987, 177:133. 10.1017/S0022112087000892
14. Spalart P.R. Moser R.D. Rogers M.M. Spectral methods for the Navier-Stokes equations with one infinite and two periodic directions. J. Comput. Phys. 1991, 96:297. 10.1016/0021-9991(91)90238-G
15. Hoyas S. Jiménez J. Reynolds number effects on the Reynolds-stress budgets in turbulent channels. Phys. Fluids 2008, 20:101511. 10.1063/1.3005862
16. Kuerten J.G. M. van der Geld C.W. M. Geurts B.J. Turbulence modification and heat transfer enhancement by inertial particles in turbulent channel flow. Phys. Fluids 2011, 23:123301. 10.1063/1.3663308
17. Sawford B.L. Yeung P.K. Lagrangian statistics in uniform shear flow: Direct numerical simulation and Lagrangian stochastic models. Phys. Fluids 2001, 13:2627. 10.1063/1.1388539
18. Sawford B.L. Reynolds number effects in Lagrangian stochastic models of turbulent dispersion. Phys. Fluids A 1991, 3:1577. 10.1063/1.857937
19. van Kampen N.G. Stochastic Processes in Physics and Chemistry 1997, revised and enlarged ed. (Elsevier, Amsterdam).
20. Borgas M.S. The multifractal Lagrangian nature of turbulence. Philos. Trans. R. Soc. London, Ser. A 1993, 342:379. 10.1098/rsta.1993.0026
21. Ramarao B.V. Tien C. Mohan S. Calculation of single fiber efficiencies for interception and impaction with superposed Brownian motion. J. Aerosol Sci. 1994, 25:295. 10.1016/0021-8502(94)90081-7
22. Hanjalić K. Launder B. Modelling Turbulence in Engineering and the Environment 2011, and (Cambridge University Press, Cambridge, UK).
23. Sawford B.L. Yeung P.K. Kolmogorov similarity scaling for one-particle Lagrangian statistics. Phys. Fluids 2011, 23:091704. 10.1063/1.3643852