VMC would like to express his sincere thanks to Prof. S. S. Zilitinkevich for valuable correspondence. INE acknowledges the financial support from Norwegian Research Council.
Abarbanel, H. D., , D. Holm, , J. E. Marsden, , and T. Ratiu, 1984: Richardson number criterion for the nonlinear stability of 3D stratified flow. Phys. Rev. Lett., 52 , 2352–2355.
André, J. C., , G. DeMoor, , P. Lacarrére, , and R. du Vachat, 1978: Modeling the 24-hour evolution of the mean and turbulent structures of the planetary boundary layer. J. Atmos. Sci., 35 , 1861–1883.
Banta, R. M., , R. K. Newsom, , J. K. Lundquist, , Y. L. Pichugina, , R. L. Coulter, , and L. Mahrt, 2002: Nocturnal low-level jet characteristics over Kansas during CASES-99. Bound.-Layer Meteor., 105 , 221–252.
Bertin, F., , J. Barat, , and R. Wilson, 1997: Energy dissipation rates, eddy diffusivity, and the Prandtl number: An in situ experimental approach and its consequences on radar estimate of turbulent parameters. Radio Sci., 32 , 791–804.
Canuto, V. M., , and M. S. Dubovikov, 1997: A dynamical model for turbulence. IV: Buoyancy driven flows. Phys. Fluids, 9 , 2118–2131.
Canuto, V. M., , F. Minotti, , C. Ronchi, , R. M. Ypma, , and O. Zeman, 1994: Second-order closure PBL model with new third-order moments: Comparison with LES data. J. Atmos. Sci., 51 , 1605–1618.
Canuto, V. M., , Y. Cheng, , and A. M. Howard, 2001: New third-order moments for the convective boundary layer. J. Atmos. Sci., 58 , 1169–1172.
Canuto, V. M., , Y. Cheng, , and A. M. Howard, 2007: Non-local ocean mixing model and a new plume model for deep convection. Ocean Modell., 16 , 28–46.
Cheng, Y., , and V. M. Canuto, 1994: Stably stratified shear turbulence: A new model for the energy dissipation length scale. J. Atmos. Sci., 51 , 2384–2396.
Cheng, Y., , V. M. Canuto, , and A. M. Howard, 2005: Nonlocal convective PBL model based on new third- and fourth-order moments. J. Atmos. Sci., 62 , 2189–2204.
Esau, I. N., , and A. A. Grachev, cited. 2007: Turbulent Prandtl number in stably stratified atmospheric boundary layer: Intercomparison between LES and SHEBA data. [Available online at http://ejournal.windeng.net/16/01/Esau_Grachev_manuscript_published.pdf.].
Fedorovich, E., , R. Conzemius, , and D. Mironov, 2004: Convective entrainment into a shear-free, linearly stratified atmosphere: Bulk models reevaluated through large eddy simulations. J. Atmos. Sci., 61 , 281–295.
Galperin, B., , S. Sukoriansky, , and P. S. Anderson, 2007: On the critical Richardson number in stably stratified turbulence. Atmos. Sci. Lett., 8 , 65–69.
Gerz, T., , U. Schumann, , and S. E. Elghobashi, 1989: Direct numerical simulation of stratified homogeneous turbulent shear flows. J. Fluid Mech., 200 , 563–594.
Grachev, A. A., , C. W. Fairall, , P. O. G. Persson, , E. L. Andreas, , and P. S. Guest, 2005: Stable boundary-layer scaling regimes: The Sheba data. Bound.-Layer Meteor., 116 , 201–235.
Kondo, J., , O. Kanechika, , and N. Yasuda, 1978: Heat and momentum transfers under strong stability in the atmospheric surface layer. J. Atmos. Sci., 35 , 1012–1021.
Launder, B. E., , G. Reece, , and W. Rodi, 1975: Progress in the development of a Reynolds-stress turbulent closure. J. Fluid Mech., 68 , 537–566.
Mack, S. A., , and H. C. Schoeberlein, 2004: Richardson number and ocean mixing: Towed chain observations. J. Phys. Oceanogr., 34 , 736–754.
Mahrt, L., , and D. Vickers, 2005: Boundary layer adjustment over small-scale changes of surface heat flux. Bound.-Layer Meteor., 116 , 313–330.
Mellor, G. L., , and T. Yamada, 1974: A hierarchy of turbulence closure models for planetary boundary layers. J. Atmos. Sci., 31 , 1791–1806.
Mellor, G. L., , and T. Yamada, 1982: Development of a turbulence closure model for geophysical fluid problems. Rev. Geophys. Space Phys., 20 , 851–875.
Poulos, G. S., and Coauthors, 2002: CASES-99: A comprehensive investigation of the stable nocturnal boundary layer. Bull. Amer. Meteor. Soc., 83 , 555–581.
Rehmann, C. R., , and J. R. Koseff, 2004: Mean potential energy change in stratified grid turbulence. Dyn. Atmos. Oceans, 37 , 271–294.
Schumann, U., 1991: Subgrid length-scales for large-eddy simulation of stratified turbulence. Theor. Comput. Fluid Dyn., 2 , 279–290.
Shih, T-H., , and A. Shabbir, 1992: Advances in modeling the pressure correlation terms in the second moment equations. Studies in Turbulence, T. B. Gatski, S. Sarkar, and C. G. Speziale, Eds., Springer-Verlag, 91–128.
Strang, E. J., , and H. J. S. Fernando, 2001: Vertical mixing and transports through a stratified shear layer. J. Phys. Oceanogr., 31 , 2026–2048.
Stretch, D. D., , J. W. Rottman, , K. K. Nomura, , and S. K. Venayagamoorthy, 2001: Transient mixing events in stably stratified turbulence. Proc. 14th Australasian Fluid Mechanics Conf., Adelaide, Australia, 612–628 pp.
Sukoriansky, S., , B. Galperin, , and I. Staroselsky, 2005: A quasinormal scale elimination model of turbulent flow with stable stratification. Phys. Fluids, 17 , 085107. 1–28.
Weinstock, J., 1978: On the theory of turbulence in the buoyancy subrange of stably stratified flows. J. Atmos. Sci., 35 , 634–649.
Zeman, O., , and J. L. Lumley, 1979: Buoyancy effects in entraining turbulent boundary layers: A second-order closure study. Turbulent Shear Flows, F. Durst et al., Eds, Vol. 1, Turbulent Shear Flows, Springer-Verlag, 295–306.
Zilitinkevich, S., , and I. N. Esau, 2007: Similarity theory and calculation of turbulent fluxes at the surface for the stably stratified atmospheric boundary layers. Bound.-Layer Meteor., 125 , 193–206.
Zilitinkevich, S. S., , T. Elperin, , N. Kleeorin, , and I. Rogachevskii, 2007: Energy- and flux-budget (EFB) turbulence closure model for the stably stratified flows. Part I: Steady-state, homogeneous regimes. Bound.-Layer Meteor., 125 , 167–192.
Zilitinkevich, S. S., , T. Elperin, , N. Kleeorin, , I. Rogachevskii, , I. N. Esau, , T. Mauritsen, , and M. W. Miles, 2008: Turbulence energetics in stably stratified geophysical flows: Strong and weak mixing regimes. Quart. J. Roy. Meteor. Soc., in press.