Abstract
Local, gradient-based scales, which contain the vertical velocity and temperature variances, as well as the potential temperature gradient, but do not include fluxes, are tested using data collected during the CASES-99 experiment. The observations show that the scaling based on the temperature variance produces relatively smaller scatter of empirical points. The resulting dimensionless statistical moments approach constant values for sufficiently large values of the Richardson number Ri. This allows one to derive predictions for the Monin–Obukhov similarity functions φ m and φ h , the Prandtl number Pr and the flux Richardson number Rf in weak turbulence regime.
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References
Balsley BB, Frehlich RG, Jensen ML, Meillier Y, Muschinski A (2003) Extreme gradients in the nocturnal boundary layer: structure, evolution and potential causes. J Atmos Sci 60: 2496–2508
Brost RA, Wyngaard JC (1978) A model study of the stably stratified planetary boundary layer. J Atmos Sci 36: 1041–1052
Businger JA (1973) Turbulent transfer in the atmospheric surface layer. In: Haugen DA (ed) Workshop on Micrometeorology. American meteorological Society
Chimonas H (1999) Steps, waves and turbulence in the stably stratified planetary boundary layer. Bound-Layer Meteorol 90: 397–421
Derbyshire SH, Wood N (1994) The sensitivity of stable boundary layers to small slopes and other influences. In: Stably stratified flows: flow and dispersion over topography. Clarendon Press
Duynkerke PG (1999) Turbulence, radiation and fog in Dutch stable boundary layers. Boundary-Layer Meteorol 90: 447–477
Garratt JR, Brost RA (1981) Radiative cooling within and above the nocturnal boundary layer. J Atmos Sci 38: 2730–2746
Grachev AA, Andreas EI, Fairall CW, Guest PS, Persson POG (2007a) SHEBA flux-profile relationship in the stable atmospheric boundary layer. Boundary-Layer Meteorol 124: 315–333
Grachev AA, Andreas EI, Fairall CW, Guest PS, Persson POG (2007b) On the turbulent Prandtl number in the stable atmospheric boundary layer. Boundary-Layer Meteorol 125: 329–341
Ha K-J, Mahrt L (2003) Radiative and turbulent fluxes in the nocturnal boundary layer. Tellus 55: 317–327
Klipp C, Mahrt L (2004) Flux –gradient relationship, self-correlation and intermittency in the stable boundary layer. Quart J Roy Meteorol Soc 130: 2087–2104
Mahli YS (1995) The significance of the dual solutions for heat fluxes measured by the temperature fluctuation method in stable conditions. Boundary-Layer Meteorol 74: 389–396
Mahrt L (2003) Contrasting vertical structures of nocturnal boundary layers. Boundary-Layer Meteorol 105: 351–363
Mahrt L (2007) The influence of nonstationarity on the turbulent flux-gradient relationship for stable stratification. Boundary-Layer Meteorol 125: 245–264
Mahrt L, Vickers D (2006) Extremely weak mixing in stable conditions. Boundary-Layer Meteorol 119(1): 19–39
Mahrt L, Sun J, Blumen W, Delany T, Oncley S (1998) Nocturnal Boundary-layer regimes. Boundary-Layer Meteorol 88: 255–278
Monin AS, Obukhov AM (1954) Basic laws of turbulence mixing in the surface layer of the atmosphere. Trudy Geof Inst AN SSSR 24(151): 163–187
Nappo CJ (1991) Sporadic breakdown of stability in the PBL over simple and complex terrain. Boundary-Layer Meteorol 54: 9–87
Nieuwstadt FTM (1984) The turbulent structure of the stable, nocturnal boundary layer. J Atmos Sci 41: 2202–2216
Oyha YD, Neff E, Meroney EN (1997) Turbulence structure in a stratified boundary layer under stable conditions. Boundary-Layer Meteorol 83: 139–161
Poulos GS, Blumen W, Fritts DC, Lundquist JK, Sun J, Burns SP, Nappo C, Banta R, Newsom R, Cuxart J, Terradellas E, Balsley BB, Jensen ML (2002) CASES-99: a comprehensive investigation of the stable nocturnal boundary layer. Bull Amer Meteorol Soc 83: 555–581
Sorbjan Z (1989) Structure of the atmospheric boundary layer. Prentice-Hall, 314 pp
Sorbjan Z (1995) Self-similar structure of the planetary boundary layer. In: Moeng CH (eds) The planetary boundary layer and its parameterization. 1995 summer colloquium. NCAR, Boulder, Colorado, USA, 525 pp
Sorbjan Z (2006a) Local structure of turbulence in stably-stratified boundary layers. J Atmos Sci 63(5): 1526 1537
Sorbjan Z (2006b) Comments on “Flux-gradient relationship, self-correlation and intermittency in the stable boundary layer”. Quart J Roy Meteorol Soc (July B) 130: 2087–2103
Sorbjan Z (2007) Gradient-based similarity in the atmospheric boundary layer. Acta Geophysica 56: 220–233
Van de Wiel BJH, Moene A, Hartogenesis G, De Bruin HA, Holtslag AAM (2003) Intermittent turbulence in the stable boundary layeor over land. Part III. A classification for observations during CASES-99. J Atmos Sci 60: 2509–2522
Zilitinkevich SS, Elperin T, Kleeorin N, Rogachevskii I (2007) Energy- and flux budget (EFB) turbulence closure model for stably stratified flows. Part I: steady-state, homogeneous regimes. Boundary-Layer Meteorol 125: 167–191
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Sorbjan, Z. Local Scales of Turbulence in the Stable Boundary Layer. Boundary-Layer Meteorol 127, 261–271 (2008). https://doi.org/10.1007/s10546-007-9260-z
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DOI: https://doi.org/10.1007/s10546-007-9260-z