The influence of large convective eddies on the surface‐layer turbulence

SUMMARY Close to the surface large coherent eddies consisting of plumes and downdraughts cause convergent winds blowing towards the plume axes, which in turn cause wind shears and generation of turbulence. This mechanism strongly enhances the convective heat/mass transfer at the surface and, in contrast to the classical formulation, implies an important role of the surface roughness. In this context we introduce the stability-dependence of the roughness length. The latter is important over very rough surfaces, when the height of the roughness elements becomes comparable with the large-eddy Monin–Obukhov length. A consistent theoretical model covering convective regimes over all types of natural surfaces, from the smooth still sea to the very rough city of Athens, is developed; it is also comprehensively validated against data from measurements at different sites and also through the convective boundary layer. Good correspondence between model results, field observations and large-eddy simulation is achieved over a wide range of surface roughness lengths and convective boundary-layer heights.

[1]  P. Moin,et al.  Fully Conservative Higher Order Finite Difference Schemes for Incompressible Flow , 1998 .

[2]  A. M. Yaglom Fluctuation spectra and variances in convective turbulent boundary layers: A reevaluation of old models , 1994 .

[3]  Jonathan Morrison,et al.  Eddy structure in turbulent boundary layers , 2000 .

[4]  J. Hunt,et al.  Surface Frictional Processes and Non-Local Heat/Mass Transfer in the Shear-Free Convective Boundary Layer , 1998 .

[5]  E. Akylas,et al.  Surface fluxes under shear‐free convection , 2001 .

[6]  E. F. Bradley,et al.  Bulk parameterization of air‐sea fluxes for Tropical Ocean‐Global Atmosphere Coupled‐Ocean Atmosphere Response Experiment , 1996 .

[7]  Anthony G Williams,et al.  Interactions between coherent eddies in the lower convective boundary layer , 1993 .

[8]  R. Sykes,et al.  Large-Eddy Simulation of Turbulent Sheared Convection , 1989 .

[9]  Z. Sorbjan Effects Caused by Varying the Strength of the Capping Inversion Based on a Large Eddy Simulation Model of the Shear-Free Convective Boundary Layer , 1996 .

[10]  Jorg M. Hacker,et al.  The composite shape and structure of coherent eddies in the convective boundary layer , 1992 .

[11]  Penger Tong,et al.  Turbulent thermal convection in a cell with ordered rough boundaries , 2000, Journal of Fluid Mechanics.

[12]  E. F. Bradley,et al.  Cool‐skin and warm‐layer effects on sea surface temperature , 1996 .

[13]  Song‐You Hong,et al.  Improvement of the K-profile Model for the Planetary Boundary Layer based on Large Eddy Simulation Data , 2003 .

[14]  Determination of subfilter energy in large-eddy simulations , 2004 .

[15]  J. Hunt Turbulence structure in thermal convection and shear-free boundary layers , 1984, Journal of Fluid Mechanics.

[16]  C. R. Philbrick,et al.  A Large-Eddy Simulation Study of the Convective Boundary Layer over Philadelphia during the 1999 Summer NE-OPS Campaign , 2003 .

[17]  C. Priestley Convection from a Large Horizontal Surface , 1954 .

[18]  J. Brasseur,et al.  Analysis of Monin–Obukhov similarity from large-eddy simulation , 1997, Journal of Fluid Mechanics.

[19]  Christopher W. Fairall,et al.  Dependence of the Monin–Obukhov Stability Parameter on the Bulk Richardson Number over the Ocean , 1997 .

[20]  A. Yaglom,et al.  Mean fields and fluctuation moments in unstably stratified turbulent boundary layers , 1990, Journal of Fluid Mechanics.

[21]  S. Belcher,et al.  Adjustment of a turbulent boundary layer to a canopy of roughness elements , 2003, Journal of Fluid Mechanics.

[22]  J. Louis A parametric model of vertical eddy fluxes in the atmosphere , 1979 .

[23]  E. Batchvarova,et al.  Wind climatology, atmospheric turbulence and internal boundary-layer development in Athens during the MEDCAPHOT-TRACE experiment , 1998 .

[24]  Ulrich Schumann,et al.  Large-Eddy Simulation of the Convective Boundary Layer: A Comparison of Four Computer Codes , 1993 .

[25]  Igor Esau,et al.  Entrainment into sheared convective boundary layers as predicted by different large eddy simulation codes , 2004 .

[26]  A. Holtslag,et al.  An Intercomparison of Large-Eddy Simulations of the Stable Boundary Layer , 2004 .

[27]  E. Agee,et al.  LES Model Sensitivities to Domains, Grids, and Large-Eddy Timescales , 1999 .

[28]  Ulrich Schumann,et al.  Coherent structure of the convective boundary layer derived from large-eddy simulations , 1989, Journal of Fluid Mechanics.

[29]  R. Stouffer,et al.  Exploring natural and anthropogenic variation of climate , 2001 .

[30]  D. Zardi,et al.  A Method to Determine the Capping Inversion of the Convective Boundary Layer , 2004 .

[31]  P. Holmes,et al.  The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows , 1993 .

[32]  B. Geurts,et al.  On the formulation of the dynamic mixed subgrid-scale model , 1994 .

[33]  V. Canuto,et al.  Stratified turbulence in the atmosphere and oceans: A new subgrid model , 1993 .

[34]  A. Beljaars The parametrization of surface fluxes in large-scale models under free convection , 1995 .

[35]  G. Golitsyn Simple theoretical and experimental study of convection with some geophysical applications and analogies , 1979, Journal of Fluid Mechanics.

[36]  S. Armfield,et al.  The Fractional-Step Method for the Navier-Stokes Equations on Staggered Grids , 1999 .

[37]  F. Guichard,et al.  A Parameterization of Mesoscale Enhancement of Surface Fluxes for Large-Scale Models , 2000 .

[38]  J. Hunt,et al.  The dynamics of the near field of strong jets in crossflows , 1989, Journal of Fluid Mechanics.

[39]  W. Malkus,et al.  The heat transport and spectrum of thermal turbulence , 1954, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[40]  S. Larsen,et al.  On the Determination of the Neutral Drag Coefficient in the Convective Boundary Layer , 1998 .

[41]  J. Hunt,et al.  Perturbed vortical layers and shear sheltering , 1999 .

[42]  Tov Elperin,et al.  Formation of large-scale semiorganized structures in turbulent convection. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[43]  I. Esau The Coriolis effect on coherent structures in planetary boundary layers , 2003 .

[44]  Igor Esau,et al.  Simulation of Ekman Boundary Layers by Large Eddy Model with Dynamic Mixed Subfilter Closure , 2004 .

[45]  C. Fairall,et al.  NOTES AND CORRESPONDECEScaling Reasoning and Field Data on the Sea Surface Roughness Lengths for Scalars , 2001 .

[46]  J. Deardorff Convective Velocity and Temperature Scales for the Unstable Planetary Boundary Layer and for Rayleigh Convection , 1970 .

[47]  Julian C. R. Hunt,et al.  Theory And Measurements For Turbulence Spectra And Variances In The Atmospheric Neutral Surface Layer , 2002 .

[48]  J. Wyngaard,et al.  The evolution of a convective planetary boundary layer — A higher-order-closure model study , 1974 .

[49]  Parviz Moin,et al.  Characteristic-eddy decomposition of turbulence in a channel , 1989, Journal of Fluid Mechanics.

[50]  M. Tombrou,et al.  Considerations on minimum friction velocity , 2003 .

[51]  J. Kaimal,et al.  Eddy structure in the convective boundary layer—new measurements and new concepts , 1988 .

[52]  C. Bretherton,et al.  An intercomparison of radiatively driven entrainment and turbulence in a smoke cloud, as simulated by different numerical models , 1996 .

[53]  P. Webster,et al.  TOGA COARE: The Coupled Ocean-Atmosphere Response Experiment. , 1992 .

[54]  W. S. Lewellen,et al.  Surface‐layer description under free‐convection conditions , 1993 .

[55]  W. Liu,et al.  Bulk Parameterization of Air-Sea Exchanges of Heat and Water Vapor Including the Molecular Constraints at the Interface , 1979 .

[56]  Albert A. M. Holtslag,et al.  Flux Parameterization over Land Surfaces for Atmospheric Models , 1991 .

[57]  B. Sawford,et al.  A saline laboratory model of the planetary convective boundary layer , 1994 .

[58]  J. Hart,et al.  High Rayleigh number β-convection , 1993 .

[59]  J. Deardorff,et al.  Parameterization of the Planetary Boundary layer for Use in General Circulation Models1 , 1972 .

[60]  Charles Henry Brian Priestley,et al.  Turbulent Transfer in the Lower Atmosphere , 1959 .

[61]  Joon Kim,et al.  Turbulence structures in the near‐neutral surface layer on the Tibetan Plateau , 2004 .

[62]  I. Esau,et al.  Resistance and heat‐transfer laws for stable and neutral planetary boundary layers: Old theory advanced and re‐evaluated , 2005 .

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

[64]  C. Bretherton,et al.  Effects of resolution on the simulation of stratocumulus entrainment , 1999 .

[65]  B. H. Stockton,et al.  Laboratory studies of the entrainment zone of a convectively mixed layer , 1980, Journal of Fluid Mechanics.

[66]  D. Lenschow,et al.  The characteristics of turbulent velocity components in the surface layer under convective conditions , 1977 .

[67]  Harindra J. S. Fernando,et al.  The influence of the thermal diffusivity of the lower boundary on eddy motion in convection , 2003, Journal of Fluid Mechanics.

[68]  T. W. Horst,et al.  Structure of subfilter-scale fluxes in the atmospheric surface layer with application to large-eddy simulation modelling , 2003, Journal of Fluid Mechanics.

[69]  E. Eloranta,et al.  Evaluating Large-Eddy Simulations Using Volume Imaging Lidar Data , 2003 .

[70]  R. Narasimha,et al.  Estimation of drag coefficient at low wind speeds over the monsoon trough land region during MONTBLEX‐90 , 1996 .

[71]  Christopher W. Fairall,et al.  Integrated Shipboard Measurements of the Marine Boundary Layer , 1997 .

[72]  Joost A. Businger,et al.  A note on free convection , 1973 .

[73]  R. Moser,et al.  Optimal LES formulations for isotropic turbulence , 1999, Journal of Fluid Mechanics.

[74]  C. Fairall,et al.  SURFACE-LAYER SCALING FOR THE CONVECTION-INDUCED STRESS REGIME , 1997 .

[75]  John C. Wyngaard,et al.  Evaluation of turbulent transport and dissipation closures in second-order modeling , 1989 .

[76]  A. Clappier,et al.  On the parameterisation of the urban atmospheric sublayer in meteorological models , 2005 .

[77]  J. Hunt,et al.  Turbulent shear flows over low hills , 1988 .

[78]  L. Howard Limits on the Transport of Heat and Momentum by Turbulent Convection with Large‐Scale Flow , 1990 .

[79]  C. Meneveau,et al.  On the properties of similarity subgrid-scale models as deduced from measurements in a turbulent jet , 1994, Journal of Fluid Mechanics.

[80]  Donald H. Lenschow,et al.  Mean-Field and Second-Moment Budgets in a Baroclinic, Convective Boundary Layer , 1980 .

[81]  U. Schumann Minimum friction velocity and heat transfer in the rough surface layer of a convective boundary layer , 1988 .

[82]  H. Chanson Turbulent shear flows , 2004 .

[83]  Rupert Klein,et al.  Effects Of Changing Surface Heat Flux On Atmospheric Boundary-Layer Flow Over Flat Terrain , 2005 .

[84]  J. Wyngaard,et al.  Stably Stratified Interfacial-Layer Turbulence from Large-Eddy Simulation , 2001 .

[85]  J. Deardorff Numerical Investigation of Neutral and Unstable Planetary Boundary Layers , 1972 .