Large-Eddy Simulation Of The Stably Stratified Planetary Boundary Layer

In this work, we study the characteristics of a stably stratifiedatmospheric boundary layer using large-eddy simulation (LES).In order to simulate the stable planetary boundary layer, wedeveloped a modified version of the two-part subgrid-scalemodel of Sullivan et al. This improved version of themodel is used to simulate a highly cooled yet fairly windy stableboundary layer with a surface heat flux of(Wθ)o = -0.05 m K s-1and a geostrophic wind speed of Ug = 15 m s-1.Flow visualization and evaluation of the turbulencestatistics from this case reveal the development ofa continuously turbulent boundary layer with small-scalestructures. The stability of the boundary layercoupled with the presence of a strong capping inversionresults in the development of a dominant gravity wave atthe top of the stable boundary layer that appears to be relatedto the most unstable wave predicted by the Taylor–Goldsteinequation. As a result of the decay of turbulence aloft,a strong-low level jet forms above the boundary layer.The time dependent behaviour of the jet is compared with Blackadar'sinertial oscillation analysis.

[1]  E. Schaller,et al.  The role of radiation in an inversion-capped planetary boundary layer , 1981 .

[2]  D. Lilly.  Models of cloud-topped mixed layers under a strong inversion , 1968 .

[3]  T. Bridges,et al.  Differential eigenvalue problems in which the parameter appears nonlinearly , 1984 .

[4]  W. Schubert,et al.  Marine Stratocumulus Convection. part II: Horizontally Inhomogeneous Solutions , 1979 .

[5]  João Paulo Ramos Teixeira,et al.  Intercomparison of Three- and one-Dimensional Model Simulations and Aircraft Observations of Stratocumulus , 1999 .

[6]  Ulrich Schumann,et al.  Subgrid length-scales for large-eddy simulation of stratified turbulence , 1991 .

[7]  J. Wyngaard,et al.  A Model Study of the Stably Stratified Planetary Boundary Layer , 1978 .

[8]  J. Deardorff.  On the entrainment rate of a stratocumulus-topped mixed layer , 1976 .

[9]  Gareth P. Williams,et al.  Conservation properties of convection difference schemes , 1970 .

[10]  Christof Lüpkes.  Untersuchungen zur Parametrisierung von Koagulationsprozessen niederschlagsbildender Tropfen , 1991 .

[11]  S. Klein,et al.  The Seasonal Cycle of Low Stratiform Clouds , 1993 .

[12]  C. Moeng.  A Large-Eddy-Simulation Model for the Study of Planetary Boundary-Layer Turbulence , 1984 .

[13]  W. S. Lewellen,et al.  The Interaction between Turbulent and Radiative Transport in the Development of Fog and Low-Level Stratus , 1978 .

[14]  John C. Wyngaard,et al.  Local Free Convection, Similarity, and the Budgets of Shear Stress and Heat Flux , 1971 .

[15]  Judith A. Curry,et al.  A Large Eddy Simulation Study of a Quasi-Steady, Stably Stratified Atmospheric Boundary Layer , 2000 .

[16]  Qing Wang,et al.  Roles of Drizzle in a One-Dimensional Third-Order Turbulence Closure Model of the Nocturnal Stratus-Topped Marine Boundary Layer. , 1994 .

[17]  B. Stevens,et al.  Large-Eddy Simulations of Strongly Precipitating, Shallow, Stratocumulus-Topped Boundary Layers , 1998 .

[18]  Andreas Chlond,et al.  Locally Modified Version of Bott's Advection Scheme , 1994 .

[19]  P. J. Mason,et al.  Large‐eddy simulation of stable atmospheric boundary layers with a revised stochastic subgrid model , 1994 .

[20]  D. Durran,et al.  An Upper Boundary Condition Permitting Internal Gravity Wave Radiation in Numerical Mesoscale Models , 1983 .

[21]  D. Carruthers,et al.  Waves in the Overlying inversion of the Convective Boundary Layer , 1987 .

[22]  Menner A. Tatang,et al.  An efficient method for parametric uncertainty analysis of numerical geophysical models , 1997 .

[23]  S. Derbyshire,et al.  Nieuwstadt's stable boundary layer revisited , 1990 .

[24]  John L. Lumley,et al.  The structure of atmospheric turbulence , 1964 .

[25]  P. Duynkerke,et al.  Observed Lagrangian transition of stratocumulus into cumulus during ASTEX : Mean state and turbulence structure , 1997 .

[26]  A. Blackadar.  Boundary Layer Wind Maxima and Their Significance for the Growth of Nocturnal Inversions , 1957 .

[27]  J. McWilliams,et al.  A grid nesting method for large-eddy simulation of planetary boundary-layer flows , 1996 .

[28]  On mixed-layer modeling of the stratocumulus-topped marine boundary layer , 1984 .

[29]  J. Andre,et al.  On the Stability of the THIRD-Order Turbulence Closure for the Modeling of the Stratocumulus-Topped Boundary Layer , 1986 .

[30]  W. Cotton,et al.  The Physics of the Marine Stratocumulus-Capped Mixed Layer. , 1987 .

[31]  J. Businger,et al.  A Model for Entrainment into a Cloud-Topped Marine Boundary Layer. Pad II: Discussion of Model Behavior and Comparison with Other Models , 1981 .

[32]  A. Chlond.  Three-dimensional simulation of cloud street development during a cold air outbreak , 1992 .

[33]  R. Stull.  An Introduction to Boundary Layer Meteorology , 1988 .

[34]  F. Nieuwstadt.  The Turbulent Structure of the Stable, Nocturnal Boundary Layer , 1984 .

[35]  Numerical Investigations of the Roles of Radiative and Evaporative Feedbacks in Stratocumulus Entrainment and Breakup , 1995 .

[36]  B. Barkstrom,et al.  Seasonal variation of cloud radiative forcing derived from the Earth Radiation Budget Experiment , 1990 .

[37]  B. Barkstrom,et al.  Cloud-Radiative Forcing and Climate: Results from the Earth Radiation Budget Experiment , 1989, Science.

[38]  Darko Koracin,et al.  Radiative Transfer and Turbulence in the Cloud-topped Marine Atmospheric Boundary Layer , 1992 .

[39]  L. Mahrt.  Stratified Atmospheric Boundary Layers and Breakdown of Models , 1998 .

[40]  D. Lilly,et al.  Modeling of Stratocumulus Cloud Layers in a Large Eddy Simulation Model with Explicit Microphysics. , 1995 .

[41]  J. McWilliams,et al.  Coherent structures and dynamics in a neutrally stratified planetary boundary layer flow , 1996 .

[42]  P. J. Mason,et al.  Large-Eddy Simulation of the stably-stratified atmospheric boundary layer , 1990 .

[43]  Robert Pincus,et al.  Precipitation in Stratocumulus Clouds: Observational and Modeling Results. , 1995 .

[44]  P. Duynkerke.  The Diurnal Variation of a Marine Stratocumulus Layer: A Model Sensitivity Study , 1989 .

[45]  Y. Delage,et al.  A numerical study of the nocturnal atmospheric boundary layer , 1974 .

[46]  Samantha A. Smith,et al.  Observations of the turbulent fluxes in fields of cumulus clouds , 1995 .

[47]  P. Sullivan,et al.  A Comparison of Shear- and Buoyancy-Driven Planetary Boundary Layer Flows , 1994 .

[48]  D. Randall,et al.  Physical Processes within the Nocturnal Stratus-Topped Boundary Layer. Revision , 1992 .

[49]  E. Kessler.  On the distribution and continuity of water substance in atmospheric circulations , 1969 .

[50]  A. Arakawa,et al.  A numerical study of a marine subtropical stratus cloud layer and its stability , 1980 .

[51]  W. Schubert.  Experiments with Lilly's Cloud-Topped Mixed Layer Model , 1976 .

[52]  J. Wyngaard.  Lectures on the Planetary Boundary Layer , 1983 .

[53]  J. Deardorff.  Stratocumulus-capped mixed layers derived from a three-dimensional model , 1980 .

[54]  E. F. Bradley,et al.  Flux-Profile Relationships in the Atmospheric Surface Layer , 1971 .

[55]  Philip Hazel.  Numerical studies of the stability of inviscid stratified shear flows , 1972, Journal of Fluid Mechanics.

[56]  A. S. Monin,et al.  Statistical Fluid Mechanics: The Mechanics of Turbulence , 1998 .

[57]  J. Businger,et al.  A Model for Entrainment into a Cloud-Topped Marine Boundary Layer. Part I: Model Description and Application to a Cold-Air Outbreak Episode , 1981 .

[58]  L. Delobbe.  Simulation of marine stratocumulus: effect of precipitation parameterization and sensitivity to droplet number concentration , 1998, Boundary-Layer Meteorology.

[59]  David A. Randall,et al.  Buoyant production and consumption of turbulence kinetic energy in cloud-topped mixed layers , 1984 .

[60]  P. Bougeault.  The diurnal cycle of the marine stratocumulus layer: a higher-order model study , 1985 .

[61]  E. Schaller,et al.  The role of radiation in an inversion-capped planetary boundary layer , 1981 .

[62]  J. Ferziger,et al.  Direct simulation of the stably stratified turbulent Ekman layer , 1992, Journal of Fluid Mechanics.

[63]  C. Bretherton,et al.  The Atlantic Stratocumulus Transition Experiment - ASTEX , 1995 .

[64]  W. Schubert,et al.  Marine Stratocumulus Convection. Part I: Governing Equations and Horizontally Homogeneous Solutions , 1979 .

[65]  C. Moeng.  Large-Eddy Simulation of a Stratus-Topped Boundary Layer. Part I: Structure and Budgets , 1986 .

[66]  J. Finnigan,et al.  The Interaction between an Internal Gravity Wave and Turbulence in the Stably-Stratified Nocturnal Boundary Layer , 1984 .

[67]  B. Albrecht,et al.  A Regional Simulation of Marine Boundary-Layer Clouds , 1993 .

[68]  J. McWilliams,et al.  A subgrid-scale model for large-eddy simulation of planetary boundary-layer flows , 1994 .

[69]  A. Andren.  The structure of stably stratified atmospheric boundary layers: A large-eddy simulation study , 1995 .

[70]  A. Slingo,et al.  Sensitivity of the Earth's radiation budget to changes in low clouds , 1990, Nature.

[71]  David A. Randall,et al.  Problems in simulating the stratocumulus-topped boundary layer with a third-order closure model , 1984 .

[72]  A. Chlond,et al.  Three-dimensional numerical study of cell broadening during cold-air outbreaks , 1996 .

[73]  S. Derbyshire.  Stable boundary layers: Observations, models and variability part I: Modelling and measurements , 1995 .

[74]  S. Galmarini,et al.  Stable Nocturnal Boundary Layers: A Comparison of One-Dimensional and Large-Eddy Simulation Models , 1998 .

[75]  William H. Hooke,et al.  Waves in the atmosphere , 1975 .