Representation of the Subgrid-Scale Turbulent Transport in Convective Boundary Layers at Gray-Zone Resolutions

AbstractParameterization of the unresolved vertical transport in the planetary boundary layer (PBL) is one of the key physics algorithms in atmospheric models. This study attempts to represent the subgrid-scale (SGS) turbulent transport in convective boundary layers (CBLs) at gray-zone resolutions by investigating the effects of grid-size dependency in the vertical heat transport parameterization for CBL simulations. The SGS transport profile is parameterized based on the 2013 conceptual derivation by Shin and Hong. First, nonlocal transport via strong updrafts and local transport via the remaining small-scale eddies are separately calculated. Second, the SGS nonlocal transport is formulated by multiplying a grid-size dependency function with the total nonlocal transport profile fit to the large-eddy simulation (LES) output. Finally, the SGS local transport is formulated by multiplying a grid-size dependency function with the total local transport profile, which is calculated using an eddy-diffusivity for...

[1]  Franco Catalano,et al.  Large-Eddy Simulation of the Daytime Boundary Layer in an Idealized Valley Using the Weather Research and Forecasting Numerical Model , 2010 .

[2]  Jimy Dudhia,et al.  Objectively Determined Fair-Weather CBL Depths in the ARW-WRF Model and Their Comparison to CASES-97 Observations , 2013 .

[3]  William C. Skamarock,et al.  A Comparison of Mesh Refinement in the Global MPAS-A and WRF Models Using an Idealized Normal-Mode Baroclinic Wave Simulation , 2014 .

[4]  Kevin W. Manning,et al.  Experiences with 0–36-h Explicit Convective Forecasts with the WRF-ARW Model , 2008 .

[5]  Wei Wang,et al.  Prediction of Landfalling Hurricanes with the Advanced Hurricane WRF Model , 2008 .

[6]  J. Dudhia,et al.  Next-Generation Numerical Weather Prediction: Bridging Parameterization, Explicit Clouds, and Large Eddies , 2012 .

[7]  A. Lock,et al.  Seamless Stratocumulus Simulation across the Turbulent Gray Zone , 2014 .

[8]  A. P. Siebesma,et al.  Evaluation of Parametric Assumptions for Shallow Cumulus Convection , 1995 .

[9]  I. Brooks,et al.  An Evaluation of Boundary-Layer Depth, Inversion and Entrainment Parameters by Large-Eddy Simulation , 2012, Boundary-Layer Meteorology.

[10]  J. Dudhia,et al.  Simulating the IHOP_2002 fair-weather CBL with the WRF-ARW-Noah modeling system. Part II: Structures from a few kilometers to 100 km across , 2010 .

[11]  J. Wyngaard,et al.  Resolution Requirements for the Simulation of Deep Moist Convection , 2003 .

[12]  J. Dudhia,et al.  A New Vertical Diffusion Package with an Explicit Treatment of Entrainment Processes , 2006 .

[13]  Margaret A. LeMone,et al.  The Structure and Dynamics of Horizontal Roll Vortices in the Planetary Boundary Layer , 1973 .

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

[15]  Jimy Dudhia,et al.  Convectively Induced Secondary Circulations in Fine-Grid Mesoscale Numerical Weather Prediction Models , 2014 .

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

[17]  A. Brown,et al.  Non-local mixing of momentum in the convective boundary layer , 1997 .

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

[19]  B. Kosović,et al.  Resolved Turbulence Characteristics in Large-Eddy Simulations Nested within Mesoscale Simulations Using the Weather Research and Forecasting Model , 2014 .

[20]  I. Troen,et al.  A simple model of the atmospheric boundary layer; sensitivity to surface evaporation , 1986 .

[21]  R. Rotunno,et al.  The Effects of Subgrid Model Mixing and Numerical Filtering in Simulations of Mesoscale Cloud Systems , 2003 .

[22]  G. Bryan,et al.  Sensitivity of a Simulated Squall Line to Horizontal Resolution and Parameterization of Microphysics , 2012 .

[23]  Joseph B. Klemp,et al.  Structure and Evolution of Numerically Simulated Squall Lines , 1988 .

[24]  Albert A. M. Holtslag,et al.  Local Versus Nonlocal Boundary-Layer Diffusion in a Global Climate Model , 1993 .

[25]  David A. Randall,et al.  A Mixed Scheme for Subgrid-Scale Fluxes in Cloud-Resolving Models , 2010 .

[26]  David Pino,et al.  Parameterization of Entrainment in a Sheared Convective Boundary Layer Using a First-order Jump Model , 2006 .

[27]  Donald H. Lenschow,et al.  Model of the Height Variation of the Turbulence Kinetic Energy Budget in the Unstable Planetary Boundary Layer , 1974 .

[28]  C. Schär,et al.  Long-Term Simulations of Thermally Driven Flows and Orographic Convection at Convection-Parameterizing and Cloud-Resolving Resolutions , 2013 .

[29]  F. Hourdin,et al.  Resolved versus parametrized boundary-layer plumes , 2009 .

[30]  M. Baldauf,et al.  Operational Convective-Scale Numerical Weather Prediction with the COSMO Model: Description and Sensitivities , 2011 .

[31]  W. Gibson,et al.  Flux decomposition into coherent structures , 1992 .

[32]  Brian A. Colle,et al.  Verification of Extratropical Cyclones within the NCEP Operational Models. Part I: Analysis Errors and Short-Term NAM and GFS Forecasts , 2009 .

[33]  J. Wyngaard.  Toward Numerical Modeling in the “Terra Incognita” , 2004 .

[34]  B. Stevens,et al.  Effects of Resolution on the Simulation of Boundary‐layer Clouds and the Partition of Kinetic Energy to Subgrid Scales , 2010 .

[35]  Hoh,et al.  Representation of Boundary Layer Moisture Transport in Cloud-Resolving Models , 2012 .

[36]  M. Xue,et al.  A Comparison of Precipitation Forecast Skill between Small Convection-Allowing and Large Convection-Parameterizing Ensembles , 2009 .

[37]  Margaret A. LeMone,et al.  Modulation of Turbulence Energy by Longitudinal Rolls in an Unstable Planetary Boundary Layer , 1976 .

[38]  A. Staniforth,et al.  A new dynamical core for the Met Office's global and regional modelling of the atmosphere , 2005 .

[39]  J. Pleim.  A Combined Local and Nonlocal Closure Model for the Atmospheric Boundary Layer. Part II: Application and Evaluation in a Mesoscale Meteorological Model , 2007 .

[40]  George S. Young,et al.  Turbulence Structure of the Convective Boundary Layer. Part II. Phonenix 78 Aircraft Observations of Thermals and Their Environment , 1988 .

[41]  Song-You Hong,et al.  Analysis of Resolved and Parameterized Vertical Transports in Convective Boundary Layers at Gray-Zone Resolutions , 2013 .

[42]  M. Frech,et al.  A two-scale mixing formulation for the atmospheric boundary layer , 1995 .

[43]  V. Masson,et al.  A Diagnostic for Evaluating the Representation of Turbulence in Atmospheric Models at the Kilometric Scale , 2011 .

[44]  C. Moeng,et al.  Entrainment Processes in the Convective Boundary Layer with Varying Wind Shear , 2003 .

[45]  Antti Hellsten,et al.  Role of Convective Structures and Background Turbulence in the Dry Convective Boundary Layer , 2013, Boundary-Layer Meteorology.

[46]  Charles Meneveau,et al.  Generalized Smagorinsky model for anisotropic grids , 1993 .

[47]  Franco Siccardi,et al.  Turbulence Closure Parameterization and Grid Spacing Effects in Simulated Supercell Storms , 2010 .

[48]  Evgeni Fedorovich,et al.  Dynamics of Sheared Convective Boundary Layer Entrainment. Part I: Methodological Background and Large-Eddy Simulations , 2006 .

[49]  A. Arakawa,et al.  Representation of Boundary Layer Moisture Transport in Cloud-Resolving Models , 2012 .

[50]  Evgeni Fedorovich,et al.  Dynamics of Sheared Convective Boundary Layer Entrainment. Part II: Evaluation of Bulk Model Predictions of Entrainment Flux , 2006 .

[51]  V. Masson,et al.  The AROME-France Convective-Scale Operational Model , 2011 .

[52]  Kazuo Saito,et al.  The Operational JMA Nonhydrostatic Mesoscale Model , 2006 .

[53]  W. Skamarock.  Evaluating Mesoscale NWP Models Using Kinetic Energy Spectra , 2004 .

[54]  A. P. Siebesma,et al.  A Combined Eddy-Diffusivity Mass-Flux Approach for the Convective Boundary Layer , 2007 .

[55]  A. Pier Siebesma,et al.  Stochastic parameterization of shallow cumulus convection estimated from high-resolution model data , 2013 .

[56]  A. Arakawa,et al.  Toward unification of the multiscale modeling of the atmosphere , 2011 .

[57]  E. Fedorovich,et al.  Turbulence Spectra and Dissipation Rates in a Wind Tunnel Model of the Atmospheric Convective Boundary Layer , 1998 .

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

[59]  Sylvie Malardel,et al.  A Parameterization of Dry Thermals and Shallow Cumuli for Mesoscale Numerical Weather Prediction , 2009 .

[60]  Steven E. Koch,et al.  An Overview of the International H2O Project (IHOP_2002) and Some Preliminary Highlights , 2004 .

[61]  D. Randall,et al.  Large‐Eddy Simulation of Maritime Deep Tropical Convection , 2009 .