Boundary-Layer Meteorology

, Volume 139, Issue 2, pp 241–259 | Cite as

Analysis of Turbulence Collapse in the Stably Stratified Surface Layer Using Direct Numerical Simulation

Article

Abstract

The nocturnal atmospheric boundary layer (ABL) poses several challenges to standard turbulence and dispersion models, since the stable stratification imposed by the radiative cooling of the ground modifies the flow turbulence in ways that are not yet completely understood. In the present work we perform direct numerical simulation of a turbulent open channel flow with a constant (cooling) heat flux imposed at the ground. This configuration provides a very simplified model for the surface layer at night. As a result of the ground cooling, the Reynolds stresses and the turbulent fluctuations near the ground re-adjust on times of the order of L/uτ, where L is the Obukhov length scale and uτ is the friction velocity. For relatively weak cooling turbulence survives, but when \({Re_L=Lu_\tau/\nu \lesssim 100}\) turbulence collapses, a situation that is also observed in the ABL. This criterion, which can be locally measured in the field, is justified in terms of the scale separation between the largest and smallest structures of the dynamic sublayer.

Keywords

Intermittent turbulence Obukhov length Nocturnal boundary layer Numerical simulation Stable surface layer Turbulence collapse 

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References

  1. Armenio V, Sarkar S (2002) An investigation of stably stratified turbulent channel flow using large-eddy simulation. J Fluid Mech 459: 1–42CrossRefGoogle Scholar
  2. Beare RJ, Macvean MK, Holtslag AAM, Cuxart J, Esau I, Golaz JC, Jiménez MA, Khairoutdinov M, Kosovic B, Lewellen D, Lund TS, Lundquist JK, Mccabe A, Moene AF, Noh Y, Raasch S, Sullivan P (2006) An intercomparison of large-eddy simulations of the stable boundary layer. Boundary-Layer Meteorol 118(2): 247–272CrossRefGoogle Scholar
  3. Coleman GN, Ferziger J, Spalart PR (1992) Direct simulation of the stably stratified turbulent Ekman layer. J Fluid Mech 244: 677–712CrossRefGoogle Scholar
  4. Cuxart J, Jiménez M (2007) Mixing processes in a nocturnal low-level jet: an LES study. J Atmos Sci 64(5): 1666–1679CrossRefGoogle Scholar
  5. del Álamo JC, Jiménez J (2003) Spectra of the very large anisotropic scales in turbulent channels. Phys Fluids 15(6): L41–L44CrossRefGoogle Scholar
  6. del Álamo JC, Jiménez J, Zandonade P, Moser R (2004) Scaling of the energy spectra of turbulent channels. J Fluid Mech 500: 135–144CrossRefGoogle Scholar
  7. Derbyshire S (1999) Boundary-layer decoupling over cold surfaces as a physical boundary-instability. Boundary-Layer Meteorol 90(2): 297–325CrossRefGoogle Scholar
  8. Edwards J (2009) Radiative processes in the stable boundary layer: part II. The development of the nocturnal boundary layer. Boundary-Layer Meteorol 131(2): 127–146CrossRefGoogle Scholar
  9. Flores O, Jiménez J (2006) Effect of wall-boundary disturbances on turbulent channel flows. J Fluid Mech 566: 357–376CrossRefGoogle Scholar
  10. Flores O, Jiménez J, del Álamo J (2007) Vorticity organization in the outer layer of turbulent channels with disturbed walls. J Fluid Mech 591: 145–154CrossRefGoogle Scholar
  11. Fritts D, Nappo C, Riggin D, Balsley B, Eichinger W, Newsom R (2003) Analysis of ducted motions in the stable nocturnal boundary layer during CASES-99. J Atmos Sci 60(20): 2450–2472CrossRefGoogle Scholar
  12. Gage K, Reid W (1968) Stability of thermally stratified plane Poiseuille flow. J Fluid Mech 33: 21CrossRefGoogle Scholar
  13. García-Villalba M, del Álamo JC (2009) Turbulence and internal waves in a stably-stratified channel flow. In: High performance computing in science and engineering ’08, vol 5. Springer, Berlin, pp 217–227Google Scholar
  14. García-Villalba M, del Álamo JC (2011) Turbulence modification by stable stratification in channel flow. Phys Fluids (submitted)Google Scholar
  15. Garg R, Ferziger J, Monismith S, Koseff J (2000) Stably stratified turbulent channel flows. I. Stratification regimes and turbulence suppression mechanism. Phys Fluids 12(10): 2569–2594CrossRefGoogle Scholar
  16. Hogstrom U (1996) Review of some basic characteristics of the atmospheric surface layer. Boundary-Layer Meteorol 78(3–4): 215–246CrossRefGoogle Scholar
  17. Hoyas S, Jiménez J (2006) Scaling of the velocity fluctuations in turbulent channels up to Re = 2003. Phys Fluids 18: 011702CrossRefGoogle Scholar
  18. Hutchins N, Marusic I (2007) Evidence of very long meandering features in the logarithmic region of turbulent boundary layers. J Fluid Mech 579: 1–28CrossRefGoogle Scholar
  19. Jiménez J, Simens MP (2001) Low-dimensional dynamics of a turbulent wall flow. J Fluid Mech 435: 81–91CrossRefGoogle Scholar
  20. Kim K, Adrian RJ (1999) Very large-scale motion in the outer layer. Phys Fluids 11(2): 417–422CrossRefGoogle Scholar
  21. Kim J, Moin P, Moser R (1987) Turbulence statistics in fully-developed channel flow at low Reynolds-number. J Fluid Mech 177: 133–166CrossRefGoogle Scholar
  22. Kosovic B, Curry J (2000) A large eddy simulation study of a quasi-steady, stably stratified atmospheric boundary layer. J Atmos Sci 57(8): 1052–1068CrossRefGoogle Scholar
  23. Mahrt L (1998) Stratified atmospheric boundary layers and breakdown of models. J Theor Comput Fluid Dyn 11(3–4): 263–279CrossRefGoogle Scholar
  24. Mathis R, Hutchins N, Marusic I (2009) Large-scale amplitude modulation of the small-scale structures in turbulent boundary layers. J Fluid Mech 628: 311–337CrossRefGoogle Scholar
  25. Metzger M, McKeon BJ, Holmes H (2007) The near-neutral atmospheric surface layer: turbulence and non-stationarity. Philos Trans R Soc A 365: 859–876CrossRefGoogle Scholar
  26. Monin A (1970) Atmospheric boundary layer. Annu Rev Fluid Mech 2: 225CrossRefGoogle Scholar
  27. Nieuwstadt F (2005) Direct numerical simulation of stable channel flow at large stability. Boundary-Layer Meteorol 116(2): 277–299CrossRefGoogle Scholar
  28. Nieuwstadt F, Duynkerke P (1996) Turbulence in the atmospheric boundary layer. Atmos Res 40(2–4): 111–142CrossRefGoogle Scholar
  29. Ohya Y (2001) Wind-tunnel study of atmospheric stable boundary layers over a rough surface. Boundary-Layer Meteorol 98(1): 57–82CrossRefGoogle Scholar
  30. Ohya Y, Neff D, Meroney R (1997) Turbulence structure in a stratified boundary layer under stable conditions. Boundary-Layer Meteorol 83(1): 139–161CrossRefGoogle Scholar
  31. Pope SB (2000) Turbulent flows. Cambridge University Press, UK, pp 264–290Google Scholar
  32. Poulos G, Blumen W, Fritts D, Lundquist J, Sun J, Burns S, Nappo C, Banta R, Newsom R, Cuxart J, Terradellas E, Balsley B, Jensen M (2002) CASES-99: A comprehensive investigation of the stable nocturnal boundary layer. Bull Am Meteorol Soc 83(4): 555–581CrossRefGoogle Scholar
  33. Raupach MR, Antonia RA, Rajagopalan S (1991) Rough-wall turbulent boundary layers. App Mech Rev 44: 1–25CrossRefGoogle Scholar
  34. Saiki E, Moeng C, Sullivan P (2000) Large-eddy simulation of the stably stratified planetary boundary layer. Boundary-Layer Meteorol 95(1): 1–30CrossRefGoogle Scholar
  35. Spiegel E, Veronis G (1960) On the Boussinesq approximation for a compressible fluid. J Astrophys 131(2): 442–447CrossRefGoogle Scholar
  36. Stoll R, Porte-Agel F (2008) Large-eddy simulation of the stable atmospheric boundary layer using dynamic models with different averaging schemes. Boundary-Layer Meteorol 126(1): 1–28CrossRefGoogle Scholar
  37. Sun J (1999) Diurnal variations of thermal roughness height over a grassland. Boundary-Layer Meteorol 92(3): 407–427CrossRefGoogle Scholar
  38. Van de Wiel B, Moene A, Hartogensis O, De Bruin H, Holtslag A (2003) Intermittent turbulence in the stable boundary layer over land. Part II: A classification for observations during CASES-99. J Atmos Sci 60(20): 2509–2522CrossRefGoogle Scholar
  39. Van de Wiel B, Moene A, Steeneveld G, Hartogensis O, Holtslag A (2007) Predicting the collapse of turbulence in stably stratified boundary layers. Flow Turbul Combust 79(3): 251–274CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringUniversity of WashingtonSeattleUSA

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