A Moist PBL Parameterization for Large-Scale Models and Its Application to Subtropical Cloud-Topped Marine Boundary Layers

Hervé Grenier Department of Atmospheric Sciences, University of Washington, Seattle, Washington

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Christopher S. Bretherton Department of Atmospheric Sciences, University of Washington, Seattle, Washington

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Abstract

A new general purpose boundary layer parameterization that permits realistic treatment of stratocumulus-capped boundary layers (SCBLs) with coarse vertical resolution is described. It combines a 1.5-order turbulent closure model with an entrainment closure at the boundary layer top. Three different implementations of the entrainment closure, in which the boundary layer height is respectively prognosed, reconstructed from thermodynamic values at the grid points, or restricted to lie on a flux level of the host model grid, are tested in a single-column modeling framework at both fine and coarse vertical resolution. The first two approaches permit a stratocumulus top and base to lie between grid levels and evolve continuously with time, but are more complicated to implement in a three-dimensional model.

The model performs very well in cases of dry convection, whatever the inversion implementation and the vertical resolution. With 15-mb or better vertical resolution, all approaches properly simulate mixing in SCBLs, including daytime cloud thinning and a transition to decoupling and conditional instability as SST increases. With coarser resolution, details of the implementation influence the simulated cloud thickness, which is systematically underestimated with the restricted inversion approach. A method for computing vertical advective fluxes at the boundary layer top that explicitly accounts for the inversion is presented; an essential component of the reconstructed inversion implementation, this vertical advection scheme also improves SCBL simulation at low resolution with a restricted inversion. For comprehensive simulation of boundary layer convection, this scheme should be coupled with a parameterization of shallow cumulus convection; this will be described in a forthcoming paper.

Corresponding author address: Hervé Grenier, Dept. of Atmospheric Sciences, University of Washington, Box 351640, Seattle, WA 98195.

Abstract

A new general purpose boundary layer parameterization that permits realistic treatment of stratocumulus-capped boundary layers (SCBLs) with coarse vertical resolution is described. It combines a 1.5-order turbulent closure model with an entrainment closure at the boundary layer top. Three different implementations of the entrainment closure, in which the boundary layer height is respectively prognosed, reconstructed from thermodynamic values at the grid points, or restricted to lie on a flux level of the host model grid, are tested in a single-column modeling framework at both fine and coarse vertical resolution. The first two approaches permit a stratocumulus top and base to lie between grid levels and evolve continuously with time, but are more complicated to implement in a three-dimensional model.

The model performs very well in cases of dry convection, whatever the inversion implementation and the vertical resolution. With 15-mb or better vertical resolution, all approaches properly simulate mixing in SCBLs, including daytime cloud thinning and a transition to decoupling and conditional instability as SST increases. With coarser resolution, details of the implementation influence the simulated cloud thickness, which is systematically underestimated with the restricted inversion approach. A method for computing vertical advective fluxes at the boundary layer top that explicitly accounts for the inversion is presented; an essential component of the reconstructed inversion implementation, this vertical advection scheme also improves SCBL simulation at low resolution with a restricted inversion. For comprehensive simulation of boundary layer convection, this scheme should be coupled with a parameterization of shallow cumulus convection; this will be described in a forthcoming paper.

Corresponding author address: Hervé Grenier, Dept. of Atmospheric Sciences, University of Washington, Box 351640, Seattle, WA 98195.

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  • Albrecht, B. A., C. S. Bretherton, D. W. Johnson, W. H. Schubert, and A. S. Frisch, 1995: The Atlantic Stratocumulus Transition Experiment—ASTEX. Bull. Amer. Meteo. Soc.,76, 889–904.

  • Ayotte, K. W., and Coauthors, 1996: An evaluation of neutral and convective planetary boundary-layer parameterizations relative to large eddy simulations. Bound.-Layer Meteor.,79, 131–175.

  • Ballard, S. P., B. W. Golding, and R. N. B. Smith, 1991: Mesoscale model experimental forecasts of the Haar of northeast Scotland. Mon. Wea. Rev.,119, 2107–2133.

  • Bechtold, P., J. W. Cuijpers, P. Mascart, and P. Trouilhet, 1995: Modeling of trade wind cumuli with a low order turbulence model:Toward a unified description of Cu and Sc clouds in meteorological models. J. Atmos. Sci.,52, 455–463.

  • ——, S. K. Krueger, W. S. Lewellen, E. van Meijgaard, H.-C. Hoeng, D. A. Randall, A. van Ulden, and S. Wang, 1996: Modeling a stratocumulus-topped PBL: Intercomparison among different one-dimensional codes and with large eddy simulations. Bull. Amer. Meteor. Soc.,77, 2033–2042.

  • Beljaars, A., and P. Viterbo, 1998: Role of the boundary layer in a numerical weather prediction model. Clear and Cloudy Boundary Layers, A. A. M. Holtslag and P. G. Duynkerke, Eds., Elsevier, 287–304.

  • Betts, A. K., 1973: Non-precipitating convection and its parameterization. Quart. J. Roy. Meteor. Soc.,99, 178–196.

  • Blackadar, A. K., 1962: The vertical distribution of wind and turbulent exchange in a neutral atmosphere. J. Geophys. Res.,67, 3095–3102.

  • Bougeault, P., 1981: Modeling the trade-wind cumulus boundary layer. Part I: Testing the ensemble cloud relations against numerical data. J. Atmos. Sci.,38, 455–463.

  • ——, 1985: Diurnal cycle of the marine stratocumulus layer: A higher-order study. J. Atmos. Sci.,42, 2826–2843.

  • ——, and P. Lacarrère, 1989: Parameterization of orography-induced turbulence in a mesobeta-scale model. Mon. Wea. Rev.,117, 1872–1890.

  • Brasseur, O., H. GallĂ©e, G. Schayes, C. Tricot, and K. DeRidder, 1998: Impact of turbulence closures on diurnal temperature evolution for clear sky situations over Belgium. Bound.-Layer Meteor.,87, 163–193.

  • Bretherton, C. S., and R. Pincus, 1995: Cloudiness and marine boundary layer dynamics in the ASTEX Lagrangian experiments. Part I: Synoptic setting and vertical structure. J. Atmos. Sci.,52, 2707–2723.

  • ——, and M. C. Wyant, 1997: Moisture transport, lower tropospheric stability, and decoupling of cloud-topped boundary layers. J. Atmos. Sci.,54, 148–167.

  • ——, P. Austin, and S. T. Siems, 1995: Cloudiness and marine boundary layer dynamics in the ASTEX Lagrangian experiments. Part II: Cloudiness, drizzle, surface fluxes, and entrainment. J. Atmos. Sci.,52, 2724–2735.

  • Carpenter, R. L. J., K. K. Droegemeier, P. R. Woodward, and C. E. Hane, 1990: Application of the Piecewise Parabolic Method (PPM) to meteorological modeling. Mon. Wea., Rev.,118, 586–612.

  • Cuijpers, J. M. W., and P. G. Duynkerke, 1993: Large-eddy simulation of trade wind cumulus clouds. J. Atmos. Sci.,50, 3894–3908.

  • Deardorff, J. W., 1976: On the entrainment rate of a stratocumulus-capped mixed layer. Quart. J. Roy. Meteor. Soc.,102, 563–582.

  • de Roode, S. R., and P. G. Duynkerke, 1997: Observed Lagrangian transition of stratocumulus into cumulus observed during ASTEX: Mean state and turbulence structure. J. Atmos. Sci.,54, 2157–2173.

  • Duynkerke, P. G., and P. Hignett, 1993: Simulation of diurnal variation in a stratocumulus-capped marine boundary layer during FIRE. Mon. Wea. Rev.,121, 3291–3300.

  • Galperin, B., L. H. Kantha, S. Hassid, and A. Rosati, 1988: A quasi-equilibrium turbulent energy model for geophysical flows. J. Atmos. Sci.,45, 55–62.

  • Hignett, P., 1991: Observations of the diurnal variation in a cloud-capped marine boundary layer. J. Atmos. Sci.,48, 1474–1482.

  • Kiehl, J. T., J. J. Hack, G. B. Bonan, B. A. Boville, D. L. Williamson, and P. J. Rasch, 1998: The National Center for Atmospheric Research Community Climate Model: CCM3. J. Climate,11, 1131–1149.

  • Krueger, S. K., G. T. McLean, and Q. Fu, 1995: Numerical simulations of stratus-to-cumulus transition in the subtropical marine boundary layer. Part I: Boundary layer structure. J. Atmos. Sci.,52, 2839–2850.

  • Lenderink, G., and A. A. Holtslag, 2000: Evaluation of kinetic energy approach for modeling turbulent fluxes in stratocumulus. Mon. Wea. Rev.,128, 244–258.

  • Lilly, D. K., 1968: Models of cloud-topped mixed layers under a strong inversion. Quart. J. Roy. Meteor. Soc.,94, 292–309.

  • Lock, A. P., and M. K. MacVean, 1999: The parameterization of entrainment driven by surface heating and coud-top cooling. Quart. J. Roy. Meteor. Soc.,125, 271–299.

  • ——, A. R. Brown, M. R. Bush, G. M. Martin, and R. Smith, 2000:A new boundary layer mixing scheme. Part I: Scheme description and single-column model tests. Mon. Wea. Rev.,128, 3187–3199.

  • Mellor, G., and T. Yamada, 1982: Development of a turbulence closure model for geophysical fluid problems. Rev. Astrophys. Space Phys.,20, 851–875.

  • Moeng, C.-H., and J. C. Wyngaard, 1989: Evaluation of turbulent transport and dissipation closures in second-order modeling. J. Atmos. Sci.,46, 2311–2330.

  • ——, and P. P. Sullivan, 1994: Comparison of shear and buoyancy driven PBL flows. J. Atmos. Sci.,51, 999–1022.

  • ——, ——, and B. Stevens, 1999: Including radiative effects in an entrainment rate formula for buoyancy driven PBLs. J. Atmos. Sci.,56, 1031–1049.

  • Nicholls, S., 1984: Dynamics of stratocumulus: Aircraft observations and comparisons with a mixed layer model. Quart. J. Roy. Meteor. Soc.,110, 783–820.

  • ——, and J. Leighton, 1986: Observational study of the structure of stratiform cloud sheets. Part I: Structure. Quart. J. Roy. Meteor. Soc.,112, 431–460.

  • ——, and J. D. Turton, 1986: Observational study of the structure of stratiform cloud layers. Part II: Entrainment. Quart. J. Roy. Meteor. Soc.,112, 461–480.

  • Patankar, S. V., 1980: Numerical Heat Transfer and Fluid Flow. Series in Computational Methods in Mechanics and Thermal Sciences, McGraw-Hill, 197 pp.

  • Randall, D. A., 1976: The interaction of the planetary boundary layer with large-scale circulations. Ph.D. dissertation, University of California, Los Angeles, 247 pp.

  • ——, J. A. Abeles, and T. G. Corsetti, 1985: Seasonal simulations of the planetary boundary layer and boundary layer stratocumulus clouds with a general circulation model. J. Atmos. Sci.,42, 641–676.

  • Rogers, D. P., X. Yang, P. M. Norris, D. W. Johnson, G. M. Martin, C. A. Friehe, and B. W. Berger, 1995: Diurnal evolution of the cloud-topped marine boundary layer. Part I: Nocturnal stratocumulus development. J. Atmos. Sci.,52, 2953–2966.

  • Stevens, B., 2000: Cloud transitions and decoupling in shear-free stratocumulus topped boundary layers. Geophys. Res. Lett., in press.

  • ——, C.-H. Moeng, and P. P. Sullivan, 1999: Large-eddy simulations of radiatively driven convection: Sensitivities to the representation of small scales. J. Atmos. Sci.,56, 3963–3984.

  • Suarez, M. J., A. Arakawa, and D. A. Randall, 1983: Parameterization of the planetary boundary layer in the UCLA general circulation model: Formulation and results. Mon. Wea. Rev.,111, 2224–2243.

  • Turner, J. S., 1973: Buoyancy Effects in Fluids. Cambridge University Press, 368 pp.

  • van Zanten., M. C., P. G. Duynkerke, and J. M. W. Cuijpers, 1999: Entrainment parameterization in convective boundary layers derived from large eddy simulations. J. Atmos. Sci.,56, 813–828.

  • Wyant, M. C., C. S. Bretherton, H. A. Rand, and D. E. Stevens, 1997:Numerical simulations and a conceptual model of the stratocumulus to trade cumulus transition. J. Atmos. Sci.,54, 168–192.

  • Zeman, O., and J. J. Lumley, 1976: Modeling buoyancy driven mixed layers. J. Atmos. Sci.,33, 1974–1988.

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