By Alexander Baklanov, Branko Grisogono, A. Baklanov, B. Grisogono

This quantity provides peer-reviewed papers from the NATO complex examine Workshop on Atmospheric Boundary Layers held in April 2006. The papers are divided into thematic periods: nature and idea of turbulent boundary layers; boundary-layer flows: modeling and purposes to environmental protection; nature, concept and modeling of boundary-layer flows; air flows inside of and above city and different advanced canopies: air-sea-ice interplay.

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2002), Banta et al. (2002)] S. S. Zilitinkevich et al. 01 b) Re−normalised heat flux Fig. 3 Same as in Fig. 1 1 10 Energy- and flux-budget (EFB) turbulence closure model for stably stratified flows Fig. 4 Same as in Figure 2 but for the vertical anisotropy of turbulence, A z = E z /E K , on addition of DNS data of Stretch et al. 1 1 10 100 the lower, strong-shear layers. It is not surprising that the spread of data on A z versus Ri is quite large. 075. (0) (0) −2 ∞ , and (τ 2 E −2 ) )Ri=0 , Pr T , Ri∞ , A Below we use the estimates of A z , (τ 2 E K z f K Ri=∞ to determine our empirical constants.

Similarity theory for the stably stratified atmospheric boundary layer 47 The ABL height, h, required in Eq. 15 is calculated using the multi-limit h model (Zilitinkevich et al. 2007a, and references therein) consistent with the present analysis. 51 are empirical dimensionless constants. More accurately h can be calculated using the prognostic, relaxation equation (Zilitinkevich and Baklanov 2002): ∂h u∗ (h − h E ), + U · ∇h − wh = K h ∇ 2 h − Ct ∂t hE (17) which therefore should be incorporated in a numerical model employing our scheme.

Similarity theory for the stably stratified atmospheric boundary layer 41 dU , in the ABL (z < h) and above (z > h) versus Fig. 1 Dimensionless velocity gradient, M = kz τ 1/2 dz dimensionless height ξ = z/L ∗ , after the LES DATABASE64. Dark grey points show data for z < h; light grey points, for z > h; the line shows Eq. 11a with CU 1 = 2 Practical application of this scaling requires information about vertical profiles of turbulent fluxes across the ABL. As demonstrated by Lenshow et al. (1988), Sorbjan (1988), Wittich (1991), Zilitinkevich and Esau (2005) and Esau and Byrkjedal (2007), the ratios τ/τ∗ and Fθ /F∗ are reasonably accurately approximated by universal functions of z/ h, where h is the ABL height (see Eq.

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