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1.    The Abdus Salam   International Centre for Theoretical Physics  Strada Costiera  11 I   34151 Trieste  Italy  Earth System Physics Section   ESP          Regional Climatic Model RegCM User Manual  Version 4 3    Nellie Elguindi  Xunqiang Bi  Filippo Giorgi   Badrinath Nagarajan  Jeremy Pal  Fabien Solmon   Sara Rauscher  Ashraf Zakey  Travis O    Brien   and Graziano Giuliani  Trieste  Italy  January 2013          Acknowledgements    This paper is dedicated to those that have contributed to the growth of RegCM system over the past 20  years  the  members  800   of the RegCNET  and the ICTP     Contents    1 The REGional Climate Model  RegCM     2 Description  PI y A A E A  2 27    Model components  2 a coe ee ts id a A eee ee TE ed o re Geo em  2 3 The RegCM Model Horizontal and Vertical Grid            o    o       e        2 4 Map Projections and Map Scale Factors          o    o    e       3 Model Physics  S21  Dynamics  Av E A PRE RE OEA AAN A E EA  3 1 1 Horizontal Momentum Equations           2 0    00000000   3 1 2 Continuity and Sigmadot  G  Equations     2    o    o    ee ee  3 1 3 Thermodynamic Equation and Equation for Omega  0             o          3 14  Hydrostatic  Equation z en een A A A Be E aes  3 2   Physics parametrizations  iros a le a wa Ea da  3 2 1  Radiation  Scheme     eiii rl ed  eee e a Fee bah le E  3 2 2  Land Surface Models    csc o a ee ho Se e ee ee a A  3 2 3 Planetary Boundary Layer Scheme          o    e     3 2 4 Convective Precipitatio
2.   1996   It includes 18 spectral intervals from 0 2 to 5 um  The cloud scattering and absorption  parameterization follow that of Slingo  1989   whereby the optical properties of the cloud droplets  extinction  optical depth  single scattering albedo  and asymmetry parameter  are expressed in terms of the cloud liquid water  content and an effective droplet radius  When cumulus clouds are formed  the gridpoint fractional cloud cover is  such that the total cover for the column extending from the model computed cloud base level to the cloud top level   calculated assuming random overlap  is a function of horizontal gridpoint spacing  The thickness of the cloud  layer is assumed to be equal to that of the model layer  and a different cloud water content is specified for middle  and low clouds     3 2 2 Land Surface Models    BATS  default   BATS is a surface package designed to describe the role of vegetation and interactive soil moisture  in modifying the surface atmosphere exchanges of momentum  energy  and water vapor  see Dickinson et al   1993   for details   The model has a vegetation layer  a snow layer  a surface soil layer  10 cm thick  or root zone layer   1 2 m thick  and a third deep soil layer 3 m thick  Prognostic equations are solved for the soil layer temperatures  using a generalization of the force restore method of Deardoff  1978   The temperature of the canopy and canopy  foilage is calculated diagnostically via an energy balance formulation including sensib
3.  14    2h Jo  The diffusivity of scalar quantities and momentum at a given height  z  are given as Ky m z   1 z Shm z V2e   The TKE budget equation is solved at each time step according to equation 3 15  where the shear frequency     Oz  Following Grenier and Bretherton  2001   the TKE diffusivity  Ke  is set as 5 times the eddy diffusivity  Km  The    Sp 4   qu      2   which is the balance of buoyancy  B   shear  S   transport  T   and dissipation  D  terms         The correction factors are called the stability functions Spm  which are defined in Galperin et al   1988     21    RegCM dynamical core has been modified to account for horizontal transport  1 e  advection and diffusion  of TKE  when the UW model is active           sa ONAK ESK  e   3 15a   ala  RT a eg T mee  0         B S T D  3 15b   Ot IBL       The UW model treats TKE and diffusivity at the surface and the PBL top specially  At the surface  TKE  is diagnosed as ey   Bu2  where B is a constant  At the PBL top  the temperature inversion   diffusivity for all  quantities is set as Ky   weAjnyz  The entrainment flux  which uses the Turner Deardorff formulation  is set as  We   A where A is the entrainment efficiency   U is a scale velocity  and R  is a bulk Richardson number  The    UW model specifies the bulk Richardson number as R    E  with U     ein   and L   l as the master length    scale  It is assumed that the PBL does not entrain or detrain TKE   The UW model accounts for the production of turbulence b
4.  Climate  6  1993     30    Holtslag  A  A  M   E  I  F  de Bruijn  and H  L  Pan  A high resolution air mass transformation model for short   range weather forecasting  Mon  Wea  Rev   118  1561 1575  1990     Hostetler  S  W   G  T  Bates  and F  Giorgi  Interactive nesting of a lake thermal model within a regional climate  model for climate change studies  Geophysical Research  98  5045 5057  1993     Hsie  E  Y   R  A  Anthes  and D  Keyser  Numerical simulation of frontogenisis in a moist atmosphere  J  Atmos   Sci   41  2581 2594  1984     Kiehl  J  T   J  J  Hack  G  B  Bonan  B  A  Boville  B  P  Breigleb  D  Williamson  and P  Rasch  Description of  the ncar community climate model  ccm3   Tech  Rep  NCAR TN 420 STR  National Center for Atmospheric  Research  1996     Kueppers  L   et al   Seasonal temperature response to land use change in the western united states   Global and  Planetary Change  60  2008     Laurent  B   B  Marticorena  G  Bergametti  J  Leon  and N  Mahowald  Modeling mineral dust emissions from the  sahara desert using new surface properties and soil database  Journal of Geophysical Research  113  414218   2008     Lawrence  P   and T  Chase  Representing a new MODIS consistent land surface in the Community Land Model   CLM3 0   J  Geophys  Res   112  g01023  2007     O   Brien  T  A   P  Y  Chuang  L  C  Sloan  I  C  Faloona  and D  L  Rossiter  Coupling a new turbulence  parametrization to regcm adds realistic stratocumulus clouds  Geoscientifi
5.  Land Model version 0   CLM2 Community Land Model version 2       CLM3 Community Land Model version 3   CMAP CPC Merged Analysis of Precipitation   CRU Climate Research Unit   CPC Climate Prediction Center   ECMWF European Centre for Medium Range Weather Forecasts  ERA40 ECMWF 40 year Reanalysis   ESMF Earth System Modeling Framework   ESP Earth Systems Physics   FAO Food and Agriculture Organization of the United Nations  fvGCM NASA Data Assimilation Office atmospheric finite volume general circulation model  GLCC Global Land Cover Characterization   GCM General Circulation Model   HadAM3H Hadley Centre Atmospheric Model version 3H  ICTP Abdus Salam International Centre for Theoretical Physics  IPCC Intergovernmental Panel on Climate Change   IBIS Integrated Blosphere Simulator   LAT leaf area index   LAMs limited area models   LBCs lateral boundary conditions   MC2 Mesoscale Compressible Community model   MIT Massachusetts Institute of Technology   MM4 Mesoscale Model version 4   MMS Mesoscale Model version 5    33    MERCURE Modelling European Regional Climate Understanding and Reducing Errors  NNRP NCEP NCAR Reanalysis Product   NNRP1 NCEP NCAR Reanalysis Product version 1   NNRP2 NCEP NCAR Reanalysis Product version 2    NCAR National Center for Atmospheric Research       NCEP National Centers for Environmental Prediction  PBL planetary boundary layer   PC Personal Computer   PIRCS Project to Intercompare Regional Climate Simulations  PFT plant functional type   PSU Penn
6.  across this network  currently subscribed by over 750 participants  can communicate through an  email list and via regular scientific workshops  and they have been essential for the evaluation and sequential  improvements of the model    Since the release of RegCM3 described by Pal et al   2007   the model has undergone a substantial evolution  both in terms of software code and physics representations  and this has lead to the development of a fourth version  of the model  RegCM4  which was released by the ICTP in June 2010 as a prototype version  RegCM4 0  and in  May 2011 as a first complete version  RegCM4 1     The purpose of this Manual is to provide a basic reference for RegCM4  with a description of the model  with  a special accent to the improvements recently introduced  Compared to previous versions  RegCM4 includes  new land surface  planetary boundary layer and air sea flux schemes  a mixed convection and tropical band  configuration  modifications to the pre existing radiative transfer and boundary layer schemes and a full upgrade  of the model code towards improved flexibility  portability and user friendliness    The model can be interactively coupled to a 1D lake model  a simplified aerosol scheme  including OC  BC   SO4  dust and sea spray  and a gas phase chemistry module  CBM Z   Overall  RegCM4 shows an improved  performance in several respects compared to previous versions  although further testing by the user community is  needed to fully explore its s
7.  as part of the Community Climate System Model   CCSM   described in detail in Collins et al   2006   CLM version 3 5 was coupled to RegCM for a more detailed  land surface description option  CLM contains five possible snow layers with an additional representation of trace  snow and ten unevenly spaced soil layers with explicit solutions of temperature  liquid water and ice water in each  layer  To account for land surface complexity within a climate model grid cell  CLM uses a tile or mosaic approach    17    Table 3 1  Land Cover Vegetation classes          1  Crop mixed farming  2  Short grass  3  Evergreen needleleaf tree  4  Deciduous needleleaf tree  5  Deciduous broadleaf tree  6  Evergreen broadleaf tree  7  Tall grass  8  Desert  9  Tundra  10  Irrigated Crop  11  Semi desert  12  Ice cap glacier  13  Bog or marsh  14  Inland water  15  Ocean  16  Evergreen shrub  17  Deciduous shrub  18  Mixed Woodland  19  Forest Field mosaic  20  Water and Land mixture          to capture surface heterogeneity  Each CLM gridcell contains up to four different land cover types  glacier  wetland   lake  and vegetated   where the vegetated fraction can be further divided into 17 different plant functional types   Hydrological and energy balance equations are solved for each land cover type and aggregated back to the gridcell  level  A detailed discussion of CLM version 3 implemented in RegCM3 and comparative analysis of land surface  parameterization options is presented in Steiner e
8.  first version developed in the late eighties  RegCM1  Dickinson et al   1989    Giorgi  1990    to  later versions in the early nineties  RegCM2  Giorgi et al   1993b   Giorgi et al   1993c    late nineties  RegCM2 5   Giorgi and Mearns  1999   and 2000s  RegCM3  Pal et al   2000      The RegCM has been the first limited area model developed for long term regional climate simulation  it has  participated to numerous regional model intercomparison projects  and it has been applied by a large community  for a wide range of regional climate studies  from process studies to paleo climate and future climate projections   Giorgi and Mearns  1999   Giorgi et al   2006      The RegCM system is a community model  and in particular it is designed for use by a varied community  composed by scientists in industrialized countries as well as developing nations  Pal et al   2007      As such  it is designed to be a public  open source  user friendly and portable code that can be applied to any  region of the World  It is supported through the Regional Climate research NETwork  or RegCNET  a widespread  network of scientists coordinated by the Earth System Physics section of the Abdus Salam International Centre for  Theoretical Physics Abdus Salam International Centre for Theoretical Physics  ICTP   being the foster the growth  of advanced studies and research in developing countries one of the main aims of the ICTP    The home of the model is     http   users ictp it Reg CNET    Scientists
9.  heat of vaporization  For further details on the calculation of these parameters refer to Zeng et al   1998      3 2 7 Prognostic Sea Surface Skin Temperature Scheme    By default in RegCM  sea surface temperatures  SST  are prescribed every six hours from temporally interpolated  weekly or monthly SST products  These products  which are produced from satellite retrievals and in situ  measurements  are representative of the mean temperature in the top few meters of the ocean  However  the actual  SST can differ significantly from this mean temperature due to the cool skin and warm layer effects described  by Fairall et al   1996   To improve the calculation of diurnal fluxes over the ocean  the prognostic SST scheme  described by Zeng  2005  was implemented in RegCM4  The scheme is based on a two layer one dimensional  heat transfer model  with the top layer representing the upper few millimeters of the ocean which is cooled by net  longwave radiation loss and surface fluxes  The bottom layer is three meters thick  it is warmer by solar radiation  and exchanges heat with the top layer  This diurnal SST scheme appears to provide significant  although not major   effects on the model climatology mostly over tropical oceans  for example the Indian ocean  and it is now used as  default in RegCM4     3 2 8 Pressure Gradient Scheme    Two options are available for calculating the pressure gradient force  The normal way uses the full fields  The  other way is the hydrostatic deduct
10.  hydrology  part 1  Effects of temperature and water vapor disaggregation   Journal of  Hydrometeorology  4  317 333  2003b     Giorgi  F   J  S  Pal  X  Bi  L  Sloan  N  Elguindi  and F  Solmon  Introduction to the tac special issue  The regcnet  network   Theoretical and Applied Climatology  86  1   4  2006     Grell  G   Prognostic evaluation of assumptions used by cumulus parameterizations  Mon  Wea  Rev   121  764 787   1993     Grell  G  A   J  Dudhia  and D  R  Stauffer  Description of the fifth generation Penn State NCAR Mesoscale Model   MMS   Tech  Rep  TN 398 STR  NCAR  Boulder  Colorado  pp  121  1994     Grenier  H   and C  S  Bretherton  A moist pbl parameterization for large scale models and its application to  subtropical cloud topped marine boundary layers  Monthly Weather Review  129  357 377  2001     Giittler  I   C  Brankovic  T  A  O   Brien  E  Coppola  B  Grisogono  and F  Giorgi  Sensitivity of regional climate  model RegCM4 to planetary boundary layer scheme  2013     Hack  J  J   B  A  Boville  B  P  Briegleb  J  T  Kiehl  P  J  Rasch  and D  L  Williamson  Description of the ncar  community climate model  ccm2   Tech  Rep  NCAR TN 382 STR  National Center for Atmospheric Research   1993     Henderson Sellers  B   Calculating the surface energy balance for lake and reservoir modeling  A review  Rev   Geophys   24 3   625 649  1986     Holtslag  A  A  M   and B  A  Boville  Local versus nonlocal boundary layer diffusion in a global climate model   J 
11.  in the model from the vertical integral of Equation 3 3     15         1 f2 0pt   gt   0p u m  dp v m  o  oh E ne   J   a do   3 5     where 0 is a dummy variable of integration and  o   0    0     3 1 3 Thermodynamic Equation and Equation for Omega  0     The thermodynamic equation is       op T Op uT   p vT   p T     PT  lt a DAL y OT N  OR ES y  ot ox dy 00   RT O po   CpmlO  P   Past  Cpm        FgT  FyT  3 6     where Cpm is the specific heat for moist air at constant pressure  Q is the diabatic heating  FT represents the  effect of horizontal diffusion  FyT represents the effect of vertical mixing and dry convective adjustment  and   is          f dp   ie 7  O p6 o0 di  3 7   where   E m     ae  v En  3 8     The expression for Cpm   Cp 1 0 8q    where cp is the specific heat at constant pressure for dry air and q  is  the mixing ratio of water vapor     3 1 4 Hydrostatic Equation    The hydrostatic equation is used to compute the geopotential heights from the virtual temperature T       db    3 9  din o   pi p   oe        1       RT    ed    1 9     where T    T 1  0 608qy   q    qc  and q  are the water vapor  cloud water or ice  and rain water or snow  mixing  ratios     16    3 2 Physics parametrizations    3 2 1 Radiation Scheme    RegCM4 uses the radiation scheme of the NCAR CCM3  which is described in Kiehl et al   1996   Briefly  the  solar component  which accounts for the effect of O3  H20  CO    and O    follows the 6 Eddington approximation  of Kiehl et al 
12.  levels to the    coordinate system of RegCM  is also performed     surfaces near the ground closely follow the terrain  and the higher level    surfaces tend to  approximate isobaric surfaces    Since the vertical and horizontal resolution and domain size can vary  the modeling package programs employ    11    Nile    ho  Nil       3    _m ll AEE A I GG W  gh eee TT ee a Sn u v  T q p  4 0 3  a  5 0 4  el  55     0 5  0 6  T  g 0 7  9 0 78  10 0 84  11 0 89  12 0 93  13 0 96  16 1 00 par ATR       Figure 2 1  Schematic representation of the vertical structure of the model  This example is for 16 vertical  layers  Dashed lines denote half sigma levels  solid lines denote full sigma levels   Adapted from the PSU NCAR  Mesoscale Modeling System Tutorial Class Notes and User   s Guide      parameterized dimensions requiring a variable amount of core memory  and the requisite hard disk storage amount  is varied accordingly     2 3 The RegCM Model Horizontal and Vertical Grid    It is useful to first introduce the model   s grid configuration  The modeling system usually gets and analyzes its data  on pressure surfaces  but these have to be interpolated to the model   s vertical coordinate before input to the model   The vertical coordinate is terrain following  Figure 2 1  meaning that the lower grid levels follow the terrain while  the upper surface is flatter  Intermediate levels progressively flatten as the pressure decreases toward the top of the  model  A dimensionless    co
13. 5 5  Light sensitivity  factor  m  W7   0 02 0 02 0 06 0 06 0 06 0 06 0 02 0 02 0 02 0 02 0 02 0 02 0 02 0 02 0 02 0 02 0 02 0 06 0 02 0 02  Upper soil layer  depth  mm  100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100  Root zone soil  layer depth  mm  1000 1000 1500 1500 2000 1500 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 2000 2000 2000  Depth of total  soil  mm  3000 3000 3000 3000 3000 3000 3000 3000 3000 3000 3000 3000 3000 3000 3000 3000 3000 3000 3000 3000  Soil texture type 6 6 6 6 7 8 6 3 6 6 5 12 6 6 6 6 5 6 6 0  Soil color type 5 3 4 4 4 4 4 1 3 3 2 1 5 5 5 4 3 4 4 0  Vegetation albedo for  wavelengths  lt  0 7 um 0 10 0 10 0 05 0 05 0 08 0 04 0 08 0 20 0 10 0 08 0 17 0 80 0 06 0 07 0 07 0 05 0 08 0 06 0 06 0 06  Vegetation albedo for  wavelengths  gt  0 7 um 0 30 030 0 23 0 23 0 28 0 20 030 040 0 30 0 28 0 34 0 60 0 18 0 20 0 20 0 23 0 28 0 24 0 18 0 18          Table 3 3  Resolution for CLM input parameters                         Input data Grid Spacing Lon range Lat range  Glacier 0 05 x 0 05   179 975 89 975  Lake 0 05  x 0 05   179 975 89 975  Wetland 0 05   x 0 05   179 975 89 975  Land fraction 0 05  x 0 05  179 975  89 975  LAI SAI 0 5   x 0 5    179 75  89 75   PFT 0 5   x 0 5    179 75  89 75   Soil color 0 05   x 0 05   179 975 89 975  Soil texture 0 05   x 0 05   179 975  89 975  Max  sat  area 0 5 x 0  5    179 75  89 75          3 2 3 Planetary Boundary Layer Scheme  Holtslag PBL    The Holtslag planetary bo
14. a fraction  of the condensed moisture forms precipitation while theremaining fraction forms the cloud  The cloud is  assumed to mix withthe air from the environment according to a uniform spectrum ofmixtures that ascend  or descend to their respective levels of neutralbuoyancy  The mixing entrainment and detrainment rates are  functionsof the vertical gradients of buoyancy in clouds  The fraction of thetotal cloud base mass flux that  mixes with its environment at eachlevel is proportional to the undiluted buoyancy rate of change withaltitude   The cloud base upward mass flux is relaxed towards thesub cloud layer quasi equilibrium     In addition to a more physical representation of convection  the MIT Emanuel scheme offers several  advantages compared to theother RegCM4 convection options  For instance  it includes aformulation of  the auto conversion of cloud water into precipitationinside cumulus clouds  and ice processes are accounted  for by allowingthe auto conversion threshold water content to be temperaturedependent  Additionally  the  precipitation is added to a single hydrostatic  unsaturated downdraft that transports heat and water  Lastly   the MIT Emanuel scheme considers the transport of passive tracers     The MIT scheme is the most complex of the three and also includes a number of parameters that can be  used to optimize the model performance in different climate regimes  Differently from the Grell scheme   however  test experiments did not identify a single 
15. aft evaporation  and   is the  fraction of updraft condensation that re evaporates in the downdraft  B depends on the wind shear and  typically varies between 0 3 and 0 5  Rainfall is given by    PY   HKmy 1 B   3 20     Heating and moistening in the Grell scheme are determined both by the mass fluxes and the detrainment at  the cloud top and bottom  In addition  the cooling effect of moist downdrafts is included     Due to the simplistic nature of the Grell scheme  several closure assumptions can be adopted  RegCM4   s  earlier version directly implements the quasi equilibrium assumption of AS74  It assumes that convective  clouds stabilize the environment as fast as non convective processes destabilize it as follows     ABE      ABE  mp   NAN  3 21   where ABE is the buoyant energy available for convection  ABE    is the amount of buoyant energy available  for convection in addition to the buoyant energy generated by some of the non convective processes during  the time interval Ar  and NA is the rate of change of ABE per unit mp  The difference ABE        ABE can be  thought of as the rate of destabilization over time At  ABE    is computed from the current fields plus the  future tendencies resulting from the advection of heat and moisture and the dry adiabatic adjustment     23    In the latest RegCM4 version  by default  we use a stability based closure assumption  the FC80 type  closure assumption  that is commonly implemented in GCMs and RCMs  In this closure  it is a
16. arameterization of warm cloud microphysical conversion processes  Atmos  Res   33  193 206   1994     Bretherton  C  S   J  McCaa  and H  Grenier  A new parameterization for shallow cumulus convection and its  application to marine subtropical cloud topped boundary layers  part i  Description and Id results  Monthly  Weather Review  132  864 882  2004     Briegleb  B  P   Delta eddington approximation for solar radiation in the ncar community climate model  J   Geophys  Res   97  7603 7612  1992     Collins  W  D   et al   The Community Climate System Model version 3  CCSM3   Journal of Climate  19  2122     2143  2006     Deardoff  J  W   Efficient prediction of ground surface temperature and moisture with inclusion of a layer of  vegetation  J  Geophys  Res   83  1889 1903  1978     Dickinson  R  E   Climate Processes and Climate Sensitivity  chap  Modeling evapotranspiration processes for  three dimensional global climate models  pp  52 72  American Geophysical Union  1984     Dickinson  R  E   P  J  Kennedy  A  Henderson Sellers  and M  Wilson  Biosphere atmosphere transfer  scheme  bats  for the ncar community climate model  Tech  Rep  NCARE TN 275 STR  National Center for  Atmospheric Research  1986     Dickinson  R  E   R  M  Errico  F  Giorgi  and G  T  Bates  A regional climate model for the western United States   Climatic Change  15  383 422  1989     Dickinson  R  E   A  Henderson Sellers  and P  J  Kennedy  Biosphere atmosphere transfer scheme  bats  version  le 
17. as coupled to the ncar community climate model  Tech  rep   National Center for Atmospheric Research   1993     Emanuel  K  A   A scheme for representing cumulus convection in large scale models  J  Atmos  Sci   48 21    2313 2335  1991     Emanuel  K  A   and M  Zivkovic Rothman  Development and evaluation of a convection scheme for use in climate  models  J  Atmos  Sci   56  1766 1782  1999     Fairall  C   E  Bradley  J  Godfrey  G  Wick  J  Edson  and G  Young  Cool skin and warm layer effects on sea  surface temperature  Journal of Geophysical Research  101  1295 1308  1996     Fritsch  J  M   and C  F  Chappell  Numerical prediction of convectively driven mesoscale pressure systems  part i   Convective parameterization  J  Atmos  Sci   37  1722 1733  1980     Galperin  B   L  H  Kantha  S  Hassid  and A  Rosati  A quasi equilibrium turbulent energy model for geophysical  flows  Journal of the Atmospheric Sciences  45 1   55 62  1988     29    Giorgi  F   Two dimensional simulations of possible mesoscale effects of nuclear war fires  J  Geophys  Res   94   1127 1144  1989     Giorgi  F  Simulation of regional climate using a limited area model nested in a general circulation model  J   Climate  3  941 963  1990     Giorgi  F   and G  T  Bates  The climatological skill of a regional model over complex terrain  Mon  Wea  Rev   117   2325 2347  1989     Giorgi  F   and M  R  Marinucci  Validation of a regional atmospheric model over europe  Sensitivity of wintertime  and su
18. b saturated conditions  and conversion into rain via a bulk autoconversion term  Prognosed cloud water variable  is directly used in the cloud radiation calculations  and not diagnosed in terms of the local relative humidity  adding  a very important and far reaching element of interaction between the simulated hydrologic cycle and energy budget  calculations    The solar spectrum optical properties are based on the cloud liquid water path  which is in turn based on the  cloud liquid water amount prognostically calculated by the model  cloud fractional cover  which is calculated  diagnostically as a function of relative humidity  and effective cloud droplet radius  which is parameterized as a  function of temperature and land sea mask for liquid water and as a function of height for ice phase    In addition  the scheme diagnostically calculates a fraction of cloud ice as a function of temperature  In the  infrared spectrum the cloud emissivity is calculated as a function of cloud liquid ice water path and cloud infrared  absorption cross sections depending on effective radii for the liquid and ice phase    One of the problems in this formulation is that the scheme uses the cloud fractional cover to produce grid box  mean cloud properties which are then treated as if the entire grid box was covered by an effectively thinner cloud  layer  However  because of the non linear nature of radiative transfer  this approach tends to produce a grayer mean  grid box than if separate clou
19. c Model Development  5 4   989   1008  doi 10 5194 gmd 5 989 2012  2012     Oleson  K  e  a   Technical description of the Community Land Model  CLM   Tech  Rep  Technical Note  NCAR TN 461 STR  NCAR  2004     Oleson  K  W   et al   Improvements to the Community Land Model and their impact on the hydrological cycle   Journal of Geophysical Research Biogeosciences  113 G1   2008     OBrien  T  A   L  C  Sloan  P  Y  Chuang  I  C  Faloona  and J  A  Johnstone  Multidecadal simulation of coastal  fog with a regional climate model  Climate Dynamics  pp  1 12  doi  10 1007 s00382 012 1486 x  2012     Pal  J  S   E  E  Small  and E  A  B  Eltahir  Simulation of regional scale water and energy budgets  Representation  of subgrid cloud and precipitation processes within RegCM  J  Geophys  Res  Atmospheres  105 D24   29 579   29 594  2000     Pal  J  S   F  Giorgi  X  Bi  et al   The ICTP RegCM3 and RegCNET  Regional climate modeling for the developing  world  Bull  Amer  Meteor  Soc   88  1395 1409  2007     Patterson  J  C   and P  F  Hamblin  Thermal simulation of a lake with winter ice cover  Limn  Oceanography  33   323 338  1988     Slingo  J  M   A gcm parameterization for the shortwave radiative properties of water clouds  J  Atmos  Sci   46   1419 1427  1989     Small  E  E   and L  C  Sloan  Simulating the water balance of the aral sea with a coupled regional climate lake  model  J  Geophys  Res   104  6583 6602  1999     Solmon  F   M  Mallet  N  Elguindi  F  Giorgi  A  Zak
20. dy and clear sky fractional fluxes were calculated  By taking advantage of the fact  that the scheme also calculates clear sky fluxes for diagnostic purposes  in   RegCM4 we modified this radiative  cloud representation by first calculating the total cloud cover at a given grid point and then calculating the surface  fluxes separately for the cloudy and clear sky portions of the grid box    The total cloud cover at a model grid box is given by a value intermediate between that obtained using the  random overlap assumption  which maximizes cloud cover  and that given by the largest cloud cover found in any  single layer of the column overlying the grid box  which implies a full overlap and it is thus is a minimum estimate  of total cloud cover     This modification thus accounts for the occurrence of fractional clear sky at a given grid box  leading to more  realistic grid box average surface radiative fluxes in fractional cloudy conditions    A large scale cloud and precipitation scheme which accounts for the subgrid scale variability of clouds  Pal  et al   2000   parameterizations for ocean surface fluxes  Zeng et al   1998   and multiple cumulus convection  scheme  Anthes  1977  Grell  1993  Emanuel  1991  Emanuel and Zivkovic Rothman  1999  are the same as in  RegCM3  but a new  mixed scheme    Grell Emanuel is introduced  it allows the user to select one of the two  schemes in function of the ocean land mask    The other main development compared to RegCM3 concerns the a
21. e shape of  small areas  so that dx dy everywhere  but the grid length varies across the domain to allow a representation of a    spherical surface on a plane surface  Map scale factors need to be accounted for in the model equations wherever  horizontal gradients are used     14    Chapter 3    Model Physics    3 1 Dynamics    The model dynamic equations and numerical discretization are described by Grell et al   1994      3 1 1 Horizontal Momentum Equations       Opus Op unjm _   p vu m Op uG  d   ox dy do  Al RT  op  0   m  P  F p o  ox   Ox    Opv 4 dp uv m   dp vv m op v    A ax dy do           fp v   Fyut Fyu   3 1            R ap  A     2    fp u  Fyv   Fy  32  aa cae EA oo    where u and v are the eastward and northward components of velocity  T  is virtual temperature     is  geopotential height  f is the coriolis parameter  R is the gas constant for dry air  m is the map scale factor for  either the Polar Stereographic  Lambert Conformal  or Mercator map projections  6   a and Fy and Fy represent  the effects of horizontal and vertical diffusion  and p    ps     pr     3 1 2 Continuity and Sigmadot  5  Equations       Op    o0ptu m  dp v m op 6  bE ne   de Jo   85     The vertical integral of Equation 3 3 is used to compute the temporal variation of the surface pressure in the  model        op     Yf 1 0ptu m  op v m  W  m El A   do 8 4     After calculation of the surface pressure tendency ee the vertical velocity in sigma coordinates  6  is  computed at each level
22. ensitivities and range of applications    The RegCM is available on the World Wide Web thanks to the Democritos Italy CNR group at     https   eforge escience lab org gf project regem    Chapter 2    Description    2 1 History    The idea that limited area models  LAMs  could be used for regional studies was originally proposed by Dickinson  et al   1989  and Giorgi  1990     This idea was based on the concept of one way nesting  in which large scale meteorological fields from General  Circulation Model  GCM  runs provide initial and time dependent meteorological lateral boundary conditions   LBCs  for high resolution Regional Climate Model  RCM  simulations  with no feedback from the RCM to the  driving GCM    The first generation NCAR RegCM was built upon the National Center for Atmospheric Research  NCAR    Pennsylvania State University  PSU  Mesoscale Model version 4  MM4  in the late 1980s  Dickinson et al   1989   Giorgi  1989   The dynamical component of the model originated from the MM4  which is a compressible  finite  difference model with hydrostatic balance and vertical o coordinates    Later  the use of a split explicit time integration scheme was added along with an algorithm for reducing  horizontal diffusion in the presence of steep topographical gradients  Giorgi et al   1993a  b     As a result  the dynamical core of the RegCM is similar to that of the hydrostatic version of Mesoscale Model  version 5  MM5   Grell et al   1994   the RegCM4 is thus a hydrosta
23. erosol radiative transfer calculations  In  RegCM3 the aerosol radiative forcing was based on three dimensional fields produced by the aerosol model  and  included only scattering and absorption in the shortwave spectrum  see Giorgi et al   2002    In RegCM4 we added  the contribution of the infrared spectrum following Solmon et al   2008     This is especially important for relatively large dust and sea salt particles and it is calculated by introducing  an aerosol infrared emissivity calculated as a function of aerosol path and absorption cross section estimated from  aerosol size distribution and long wave refractive indices  Long wave diffusion  which could be relevant for larger  dust particles  is not treated as part of this scheme    The mosaic type parameterization of subgrid scale heterogeneity in topography and land use  Giorgi et al    2003b  allows finer surface resolution in the Biosphere Atmosphere Transfer Scheme version le  BATS1e      2 2 Model components    The RegCM modeling system has four components  Terrain  ICBC  RegCM  and Postprocessor  Terrain and ICBC  are the two components of RegCM preprocessor  Terrestrial variables  including elevation  landuse and sea surface  temperature  and three dimensional isobaric meteorological data are horizontally interpolated from a latitude   longitude mesh to a high resolution domain on either a Rotated  and Normal  Mercator  Lambert Conformal  or  Polar Stereographic projection  Vertical interpolation from pressure
24. ey    and A  Konare  Dust aerosol impact on regional  precipitation over western africa  mechanisms and sensitivity to absorption properties  Geophysical Research  Letters  35  124705  2008     Steiner  A  L   J  S  Pal  S  A  Rauscher  J  L  Bell  N  S  Diffenbaugh  A  Boone  L  C  Sloan  and F  Giorgi   Land surface coupling in regional climate simulations of the West African monsoon  Climate Dynamics  33 6    869 892  2009     Sundqvist  H   E  Berge  and J  E  Kristjansson  The effects of domain choice on summer precipitation simulation  and sensitivity in a regional climate model  J  Climate  11  2698 2712  1989     31    Tiedtke  M   A comprehensive mass flux scheme for cumulus parameterization on large scale models  Mon  Wea   Rev   117  1779 1800  1989     Zeng  X   A prognostic scheme of sea surface skin temperature for modeling and data assimilation  Geophysical  Research Letters  32  114605  2005     Zeng  X   M  Zhao  and R  E  Dickinson  Intercomparison of bulk aerodynamic algoriths for the computation of  sea surface fluxes using toga coare and tao data  J  Climate  11  2628 2644  1998     32    BATS Biosphere Atmosphere Transfer Scheme  BATSle Biosphere Atmosphere Transfer Scheme version le  CAM Community Atmosphere Model   CAPE convective available potential energy  CCM Community Climate Model   CCM1 Community Climate Model version 1  CCM2 Community Climate Model version 2  CCM3 Community Climate Model version 3  CLM Community Land Surface Model   CLMO0 Common
25. fications have been made to BATSin order to account for  the subgrid variability of topography and landcover using a mosaic type approach  Giorgi et al   2003a    Thismodification adopts a regular fine scale surface subgrid for eachcoarse model grid cell  Meteorological  variables are disaggregatedfrom the coarse grid to the fine grid based on the elevationdifferences  The BATS  calculations are then performed separatelyfor each subgrid cell  and surface fluxes are reaggregated onto thecoarse  grid cell for input to the atmospheric model  This parameterization showed a marked improvement in the  representation ofthe surface hydrological cycle in mountainous regions  Giorgi et al   2003a   As a first  augmentation  in REGional Climate Model version 4  RegCM4  two new land use types were added to BATS to  represent urban and sub urban environments  Urban development not only modifies the surface albedo and alters  the surface energy balance  but also creates impervious surfaces with large effects on runoff and evapotranspiration   These effects can be described by modifying relevant properties of the land surface types in the BATS package  such  as maximum vegetation cover  roughness length  albedo  and soil characteristics  For this purpose  we implemented  the parameters proposed in Table 1 of Kueppers et al   2008     CLM  optional   The Community Land Model  CLM  Oleson et al   2008   is the land surface model developed  by the National Center of Atmospheric Research  NCAR 
26. h land and ocean surface types  With this approach  a weighted  average of necessary surface variables was calculated for land ocean gridcells using the land fraction input dataset   This method provides a better representation of coastlines using the high resolution land fraction data described in  Table 3 3  For a more detailed description of CLM physics parameterizations see Oleson  2004      18    61    Table 3 2  BATS vegetation land cover             Parameter Land Cover Vegetation Type   1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20  Max fractional  vegetation cover 0 85 080 0 80 0 80 0 80 090 0 80 0 00 0 60 080 0 35 0 00 0 80 0 00 0 00 0 80 0 80 0 80 0 80 0 80  Difference between max  fractional vegetation  cover and cover at269K   0 6 0 1 0 1 0 3 0 5 0 3 0 0 0 2 0 6 0 1 0 0 0 4 0 0 0 0 0 2 0 3 0 2 0 4 0 4  Roughness length  m  0 08 0 05 1 00 1 00 080 2 00 010 005 0 04 0 06 010 0 01 0 03 0 0004 0 0004 0 10 0 10 0 80 0 3 0 3  Displacement height  m  0 0 0 0 9 0 9 0 0 0 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  Min stomatal  resistence  s m  45 60 80 80 120 60 60 200 80 45 150 200 45 200 200 80 120 100 120 120  Max Leaf Area Index 6 2 6 6 6 6 6 0 6 6 6 0 6 0 0 6 6 6 6 6  Min Leaf Area Index 0 5 0 5 5 1 1  gt  0 5 0 0 5 0 5 0 5 0 0 5 0 0 5 1 3 0 5 0 5  Stem  dead matter  area index  0 5 4 0 2 0 2 0 2 0 2 0 2 0 0 5 0 5 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0  Inverse square root of  leaf dimension  m       10   5 5 5 5 5 5 5 5 5 5 5 5   5 5 5 
27. h latitude winter conditions and  allows the model to better capture surface inversions  These modifications have thus been incorporated as default  in the RegCM4 code     The UW Turbulence Closure Model    As an alternative to the Holtslag PBL  the University of Washington turbulence closure model  Grenier and  Bretherton  2001  Bretherton et al   2004  has been coupled to RegCM  The development of this coupling  and  its validation for western North America  is described by O   Brien et al   2012   and validation over Europe is  described by Giittler et al   2013   This parameterization was originally implemented to allow RegCM to simulate  stratocumulus and coastal fog  O   Brien et al   2012  OBrien et al   2012     The UW model is a 1 5 order  local  down gradient diffusion parametrization  It will be referred to as a  PBL model  but it has capabilities that allow it to calculate vertical fluxes out side of the PBL as well as within   Bretherton et al   2004  refers to it as a moist turbulence parametrization  As with other 1   order models  such as  the Holtslag model  the UW model parameterizes turbulent fluxes as the product of a diffusivity and a gradient   In contrast to 1     order models  however  the model prognostically determines the turbulent kinetic energy  TKE   also referred to as e   and it uses TKE to define the diffusivites    As with the Holtslag mode  diffusivity is defined as the product of a length scale and a velocity scale  though  the velocity sca
28. ion scheme which makes use of a perturbation temperature  In this scheme   extra smoothing on the top is done in order to reduce errors related to the PGF calculation     3 2 9 Lake Model    The lake model developed by Hostetler et al   1993  can be interactively coupled to the atmospheric model  In the  lake model  fluxes of heat  moisture  and momentum are calculated based on meteorological inputs and the lake  surface temperature and albedo  Heat is transferred vertically between lake model layers by eddy and convective  mixing  Ice and snow may cover part or all of the lake surface    In the lake model  the prognostic equation for temperature is    oT   T  sE  ke t km  d2        3 31     where T is the temperature of the lake layer  and ke and km are the eddy and molecular diffusivities  respectively   The parameterization of Henderson Sellers  1986  is used to calculate ke and km is set to a constant value of  39 x 1077 m  s7  except under ice and at the deepest points in the lake    Sensible and latent heat fluxes from the lake are calculated using the BATS parameterizations Dickinson et al    1993   The bulk aerodynamic formulations for latent heat flux        and sensible heat flux  F   are as follows     Fa   PaCpVa qs     qa   3 32   Fy   PaCpCpVa Ts  gt  Ta   3 33     where the subscripts s and a refer to surface and air  respectively  pa is the density of air  V4 is the wind speed   Cp  q is specific humidity  and T is temperature  The momentum drag coefficient  C
29. le  radiative  and latent heat  fluxes    The soil hydrology calculations include predictive equations for the water content of the soil layers  These  equations account for precipitation  snowmelt  canopy foiliage drip  evapotranspiration  surface runoff  infiltration  below the root zone  and diffusive exchange of water between soil layers  The soil water movement formulation is  obtained from a fit to results from a high resolution soil model Dickinson  1984  and the surface runoff rates  are expressed as functions of the precipitation rates and the degree of soil water saturation  Snow depth is  prognostically calculated from snowfall  snowmelt  and sublimation  Precipitation is assumed to fall in the form  of snow if the temperature of the lowest model level is below 271 K    Sensible heat  water vapor  and momentum fluxes at the surface are calculated using a standard surface drag  coefficient formulation based on surface layer similarity theory  The drag coefficient depends on the surface  roughness length and on the atmospheric stability in the surface layer  The surface evapotranspiration rates  depend on the availability of soil water  Biosphere Atmosphere Transfer Scheme  BATS  has 20 vegetation types   Table 3 2  soil textures ranging from coarse  sand   to intermediate  loam   to fine  clay   and different soil colors   light to dark  for the soil albedo calculations  These are described in Dickinson et al   1986     In the latest release version  additional modi
30. le is defined as the square root of local TKE rather than the convective velocity scale  The length  scale is the UW model   s master length scale  either     xz or l   kz  1 kz A   this can be set in the RegCM  configuration file   multiplied by a correction factor that depends on local stability   and the velocity scale is the  square root of twice the TKE    The boundary layer height in the UW model is defined as the first level where the expression N 2  1 2    where  N is the Brunt V  is  l   frequency  N    a 2  exceeds half of the negative of its layer mean value  Since the flux    of buoyancy  b  can be written as wb      Kn 2  and it can be shown that N    A  N  can be viewed as being  proportional to the local buoyancy flux in the UW model  In this interpretation  this condition for PBL top  or the  top of any turbulent layer  can be approximately viewed as a    condition that the buoyancy flux anywhere in the  interior of a convective layer not be more negative than  0 5 of the layer mean buoyancy flux     Bretherton et al    2004   In other words for an unstable PBL  the PBL ends approximately when the virtual potential temperature  profile becomes so stable that the buoyancy flux is opposite to and half as strong as the mean buoyancy flux below   This condition for the height of the PBL can be encapsulated in the following implicit equation  where the z and h  values are restricted to lie on the model   s vertical grid     11 f   N  MP  h     53   N  z I  z  dz  3
31. mmertime simulations to selected physics parameterizations and lower boundary conditions  Quart  J   Roy  Meteor  Soc   117  1171 1206  1991     Giorgi  F   and L  O  Mearns  Introduction to special section  Regional climate modeling revisited  J  Geophys   Res   104  6335 6352  1999     Giorgi  F   G  T  Bates  and S  J  Nieman  The multi year surface climatology of a regional atmospheric model over  the western united states  J  Climate  6  75   95  1993a     Giorgi  F  M  R  Marinucci  and G  T  Bates  Development of a second generation regional climate model  regem2   1  Boundary layer and radiative transfer processes  Mon  Wea  Rev   121  2794 2813  1993b     Giorgi  F   M  R  Marinucci  G  T  Bates  and G  DeCanio  Development of a second generation regional climate  model  regcm2  ii  Convective processes and assimilation of lateral boundary conditions  Mon  Wea  Rev   121   2814 2832  1993c     Giorgi  F   X  Q  Bi  and Y  Qian  Radiative forcing and regional climatic effects of anthropogenic aerosols over  East Asia  A regional coupled climate chemistry aerosols model study  J  Geophys  Res   107  2002     Giorgi  F   X  Q  Bi  and Y  Qian  Indirect vs  direct effects of anthropogenic sulfate on the climate of east asia as  simulated with a regional coupled climate chemistry aerosol model  Climatic Change  58  345 376  2003a     Giorgi  F   R  Francisco  and J  S  Pal  Effects of a subgrid scale topography and land use scheme on the simulation  of surface climate and
32. n Schemes                  0 00 0  000000004  3 2 5 Large Scale Precipitation Scheme                 0 0 0 0  000000004  3 2 6 Ocean flux Parameterization    2    2    0 00    0 2 000000 002 eee  3 2 7 Prognostic Sea Surface Skin Temperature Scheme          o   o    o        3 2 8 Pressure Gradient Scheme          20    0 000 eee eee eee   3 29  Lake Mod  l t ica e Be oath eee See eee aid Ba tds  3 2 10 Aerosols and Dust  Chemistry Model             o    o         o    eee    4 Future Developments  4 1 Tiedtke convection scheme          a  4 2  Semi Lagrangian dynamic Core   4 3 Non Hydrostatic COTE    ms ee e    10  10  11  12  13    15  15  15  15  16  16  17    17  20  22  24  25  26  26  26  27    List of Figures    2 1 Schematic representation of the vertical structure of the model  This example is for 16 vertical  layers  Dashed lines denote half sigma levels  solid lines denote full sigma levels   Adapted from    the PSU NCAR Mesoscale Modeling System Tutorial Class Notes and User   s Guide          12  2 2 Schematic representation showing the horizontal Arakawa B grid staggering of the dot and cross  Prid pomis   i gaa Ben beg At aoe has a St Sapa le ge RS Att Sa el ee as 13    List of Tables    3 1 Land Cover Vegetation classes        3 2 BATS vegetation land cover          3 3 Resolution for CLM input parameters    Chapter 1    The RegCM    The RegCM is a regional climate model developed throughout the years  with a wide base of model users  It has  evolved from the
33. ng one of three schemes   1  Modified Kuo scheme Anthes  1977    2   Grell scheme Grell  1993   and  3  MIT Emanuel scheme  Emanuel  1991  Emanuel and Zivkovic Rothman  1999    In addition  the Grell parameterization is implemented using one of two closure assumptions   1  the Arakawa and  Schubert closure Grell et al   1994  and  2  the Fritsch and Chappell closure Fritsch and Chappell  1980   hereafter  refered to as AS74 and FC80  respectively     1  Kuo Scheme  Convective activity in the Kuo scheme is initiated when the moisture convergence M in a  column exceeds a given threshold and the vertical sounding is convectively unstable  A fraction of the  moisture convergence B moistens the column and the rest is converted into rainfall PU according to the  following relation        The entrainment efficiency is partially determined by the mixture of clear and cloudy air that happens at the inversion top  Grenier and  Bretherton  2001  takes special care to develop a parametrization for A that includes    evaporative enhancement    effects for cases when a  cloudy clear mixture of air is more dense than its surroundings     22    PY   M 1 B    3 17     B is a function of the average relative humidity RH of the sounding as follows     1 0 otherwise  3 18     B     2 1 RH  RH gt 05    Note that the moisture convergence term includes only the advective tendencies for water vapor  However   evapotranspiration from the previous time step is indirectly included in M since it tends t
34. nted by the dashed lines in Figure 2 1  Vertical velocity is carried at the full levels  solid lines   In defining  the sigma levels it is the full levels that are listed  including levels at      0 and 1  The number of model layers is  therefore always one less than the number of full sigma levels    The finite differencing in the model is  of course  crucially dependent upon the grid staggering wherever  gradients or averaging are represented terms in the equation     2 4 Map Projections and Map Scale Factors    The modeling system has a choice of four map projections  Lambert Conformal is suitable for mid latitudes  Polar  Stereographic for high latitudes  Normal Mercator for low latitudes  and Rotated Mercator for extra choice  The    13    x and y directions in the model do not correspond to west east and north south except for the Normal Mercator  projection  and therefore the observed wind generally has to be rotated to the model grid  and the model u and v  components need to be rotated before comparison with observations  These transformations are accounted for in  the model pre processors that provide data on the model grid  Please note that model output of u and v components     raw or postprocessed  should be rotated to a lat lon grid before comparing to observations   The map scale factor   m  1s defined by    m    distance on grid     actual distance on earth   and its value is usually close to one  varying with latitude  The projections in the model preserve th
35. o moisten the  lower atmosphere  Hence  as the evapotranspiration increases  more and more of it is converted into rainfall  assuming the column is unstable  The latent heating resulting from condensation is distributed between the  cloud top and bottom by a function that allocates the maximum heating to the upper portion of the cloud  layer  To eliminate numerical point storms  a horizontal diffusion term and a time release constant are  included so that the redistributions of moisture and the latent heat release are not performed instantaneously   Giorgi and Bates  1989  Giorgi and Marinucci  1991        Grell Scheme  The Grell scheme Grell  1993   similar to the AS74 parameterization  considers clouds as  two steady state circulations  an updraft and a downdraft  No direct mixing occurs between the cloudy air  and the environmental air except at the top and bottom of the circulations  The mass flux is constant with  height and no entrainment or detrainment occurs along the cloud edges  The originating levels of the updraft  and downdraft are given by the levels of maximum and minimum moist static energy  respectively  The Grell  scheme is activated when a lifted parcel attains moist convection  Condensation in the updraft is calculated  by lifting a saturated parcel  The downdraft mass flux  m     depends on the updraft mass flux  mp  according  to the following relation     mo   Pizy  3 19   h    where    is the normalized updraft condensation  Jy is the normalized downdr
36. oltslag and Boville  1993  for a more detailed description    Compared to other schemes this formulation tends to produce relatively strong  and often excessive  turbulent  vertical transfer  For example  after extensive testing  we found excessive vertical transfer of moisture in the model  resulting in low moisture amounts near the surface and excessive moisture near the PBL top      3 13        20    Therefore in order to ameliorate this problem  the countergradient term for water vapor was removed in  RegCM4  Another problem of the Holtslag scheme  at least in our implementation  is an excessive vertical  transport of heat  moisture and momentum in very stable conditions  such as during the winter in northern  hemisphere high latitude regions  For example we found that in such conditions the scheme fails to simulate  near surface temperature inversions    This in turn leads to large warm winter biases  even    10 degrees  over regions such as Northern Siberia  and Northern Canada  As an ad hoc fix to address this problem  in RegCM4 we implemented the following  modification to the scheme     e We first define very stable conditions within the Holtslag parameterization as conditions in which the ratio  of the height from the surface over the Monin Obhukov length is lower than 0 1     e When such conditions are found  we set to O the eddy diffusivity and counter gradient terms for all variables     Preliminary tests showed that this modification reduces the warm bias in hig
37. ordinate is used to define the model levels where p is the pressure  p  is a specified   constant top pressure  p  is the surface pressure   ae  p  Pr   2 1     Ps     Pr    It can be seen from the equation and Figure 2 1 that    is zero at the top and one at the surface  and each model  level is defined by a value of o  The model vertical resolution is defined by a list of values between zero and one    12     1Y 1   Y  IX         1 1  J     gt   1 4X     Figure 2 2  Schematic representation showing the horizontal Arakawa B grid staggering of the dot and cross grid  points     that do not necessarily have to be evenly spaced  Commonly the resolution in the boundary layer is much finer  than above  and the number of levels may vary upon the user demand    The horizontal grid has an Arakawa Lamb B staggering of the velocity variables with respect to the scalar  variables  This is shown in Figure 2 2 where it can be seen that the scalars  T  q  p  etc  are defined at the center of  the grid box  while the eastward  u  and northward  v  velocity components are collocated at the corners  The center  points of grid squares will be referred to as cross points  and the corner points are dot points  Hence horizontal  velocity is defined at dot points  Data is input to the model  the preprocessors do the necessary interpolation to  assure consistency with the grid    All the above variables are defined in the middle of each model vertical layer  referred to as half levels and  represe
38. p  depends on roughness length  and the surface bulk Richardson number    Under ice free conditions  the lake surface albedo is calculated as a function of solar zenith angle Henderson   Sellers  1986   Longwave radiation emitted from the lake is calculated according to the Stefan Boltzmann law  The  lake model uses the partial ice cover scheme of Patterson and Hamblin  1988  to represent the different heat and  moisture exchanges between open water and ice surfaces and the atmosphere  and to calculate the surface energy  of lake ice and overlying snow  For further details refer to Hostetler et al   1993  and Small and Sloan  1999      26    3 2 10 Aerosols and Dust  Chemistry Model     The representation of dust emission processes is a key element in a dust model and depends on the wind conditions   the soil characteristics and the particle size  Following Laurent et al   2008  and Alfaro and Gomes  2001   here  the dust emission calculation is based on parameterizations of soil aggregate saltation and sandblasting processes   The main steps in this calculation are  The specification of soil aggregate size distribution for each model grid  cell  the calculation of a threshold friction velocity leading to erosion and saltation processes  the calculation of the  horizontal saltating soil aggregate mass flux  and finally the calculation of the vertical transportable dust particle  mass flux generated by the saltating aggregates  In relation to the BATS interface  these paramete
39. parameter to which the model is most sensitive     A major augmentation in RegCM4 compared to previous versions of the model is the capability of running  different convection schemes over land and ocean  a configuration which we refer to as mixed convection   Extensive test experiments showed that different schemes have different performance over different regions  and  in particular over land vs  ocean areas    For example  the MIT scheme tends to produce excessive precipitation over land areas  especially through the  occurrence of very intense individual precipitation events    In other words  once the scheme is activated  it becomes difficult to decelerate  Conversely  we found that the  Grell scheme tends to produce excessively weak precipitation over tropical oceans    These preliminary tests suggested that a mixed convection approach by which  for example  the MIT scheme  is used over oceans and the Grell scheme over land  might be the most suitable option to pursue  and therefore this  option was added to the model     3 2 5 Large Scale Precipitation Scheme    Subgrid Explicit Moisture Scheme  SUBEX  is used to handle nonconvective clouds and precipitation resolved  by the model  This is one of the new components of the model  SUBEX accounts for the subgrid variability in    24    clouds by linking the average grid cell relative humidity to the cloud fraction and cloud water following the work  of Sundqvist et al   1989    The fraction of the grid cell covered by clo
40. re detailed  description of SUBEX and a list of the parameter values refer to Pal et al   2000     Traditionally  REGional Climate Model version 3  RegCM3  has shown a tendency to produce excessive  precipitation  especially at high resolutions  and optimizations of the in cloud liquid water threshold for the  activation of the autoconversion term Qcth and the rate of sub cloud evaporation Cevap parameters have proven  effective in ameliorating this problem  greater values of Oth and Cevap lead to decreased precipitation amounts     3 2 6 Ocean flux Parameterization    BATS uses standard Monin Obukhov similarity relations to compute the fluxes with no special treatment of  convective and very stable conditions  In addition  the roughness length is set to a constant  i e  it is not a function  of wind and stability    The Zeng scheme describes all stability conditions and includes a gustiness velocity to account for the  additional flux induced by boundary layer scale variability  Sensible heat  SH   latent heat  LH   and momentum   t  fluxes between the sea surface and lower atmosphere are calculated using the following bulk aerodynamic  algorithms     T  paux  ux   uy   2 Ju  3 28   SH      PgCpatlr 9x  3 29   LH      PaL Usqu  3 30     25    where uy and uy are mean wind components  u  is the frictional wind velocity  0  is the temperature scaling  parameter  qx is the specific humidity scaling parameter  p4 is air density  Cpa is specific heat of air  and Le is the  latent
41. rizations become  effective in the model for cells dominated by desert and semi desert land cover     27    Chapter 4    Future Developments    We have lot of exciting plans for future model improvements  some of which are in a already mature stage and  under testing  with some published results  whereas others are done only on the paper in a whishlist for next years   Nevertheless we want to share this with users  to have hints and encourage contributions  Some of the development  results ideas are listed below  in a  time to market    order    4 1 Tiedtke convection scheme   Adrian Tompkins is developing an adaptation of the ECMWF 38R2 Tiedtke  1989  cumulus convection scheme  for the RegCM model    4 2 Semi Lagrangian dynamic core   A semi Lagrangian advection scheme for the water vapor and advection tracers will allow a different timestep for  the transport schemes  which should result in a performance prize     4 3 Non Hydrostatic core    We want to implement the non hydrostatic core to allow physical downscaling of large scale model simulation  under the 20 kilometers limit of the hydrostatic model     28    Bibliography    Alfaro  S  C   and L  Gomes  Modeling mineral aerosol production by wind erosion  Emission intensities and  aerosol size distributions in source areas  Journal of Geophysical Research  106  d16  2001     Anthes  R  A   A cumulus parameterization scheme utilizing a one dimensional cloud model  Mon  Wea  Rev   105   270 286  1977     Beheng  K  D   A p
42. ssumed  that convection removes the ABE over a given time scale as follows     ABE           22  NAT ee     Mp    where T is the ABE removal time scale     The fundamental difference between the two assumptions is that the AS74 closure assumption relates the  convective fluxes and rainfall to the tendencies in the state of the atmosphere  while the FC80 closure  assumption relates the convective fluxes to the degree of instability in the atmosphere  Both schemes achieve  a Statistical equilibrium between convection and the large scale processes     A number of parameters present in the scheme can be used to optimize its performance  and Giorgi et al    1993c  discusses a wide range of sensitivity experiments  We found that the parameter to which the scheme  is most sensitive is by and large the fraction of precipitation evaporated in the downdraft  Peff  with values  from 0 to 1   which essentially measures the precipitation efficiency  Larger values of Peff lead to reduced  precipitation     3  MIT Emanuel scheme  More detailed descriptions can be found in Emanuel  1991  andEmanuel  and Zivkovic Rothman  1999   The scheme assumes that the mixing in clouds ishighly episodic and  inhomogeneous  as opposed to a continuousentraining plume  and considers convective fluxes based on  anidealized model of sub cloud scale updrafts and downdrafts Convection is triggered when the level of  neutral buoyancy is greaterthan the cloud base level  Between these two levels  air is liftedand 
43. sylvania State University   PWC Physics of Weather and Climate   RCM Regional Climate Model   RegCM REGional Climate Model   RegCM1 REGional Climate Model version 1  RegCM2 REGional Climate Model version 2  RegCM2 5 REGional Climate Model version 2 5  RegCM3 REGional Climate Model version 3  RegCM4 REGional Climate Model version 4       RegCNET REGional Climate Research NETwork  RMIP Regional Climate Model Intercomparison Project  ROMS Regional Oceanic Modeling System   SIMEX the Simple EXplicit moisture scheme   SST sea surface temperature   SUBEX the SUB grid EXplicit moisture scheme   USGS United States Geological Survey   JJA June  July  and August   JJAS June  July  August  and September   JFM January  February  and March    34    
44. t al   2009   Since CLM was developed for the global scale   several input files and processes were modified to make it more appropriate for regional simulations  including   1  the use of high resolution input data   2  soil moisture initialization  and  3  and an improved treatment of grid  cells along coastlines  For the model input data  CLM requires several time invariant surface input parameters  soil  color  soil texture  percent cover of each land surface type  leaf and stem area indices  maximum saturation fraction   and land fraction  Lawrence and Chase  2007   Table 3 3 shows the resolution for each input parameter used at the  regional scale in RegCM CLM compared to resolutions typically used for global simulations  The resolution of  surface input parameters was increased for several parameters to capture surface heterogeneity when interpolating  to the regional climate grid  Similar to Lawrence and Chase  2007   the number of soil colors was extended from 8  to 20 classes to resolve regional variations  The second modification was to update the soil moisture initialization  based on a climatological soil moisture average  Giorgi and Bates  1989  over the use of constant soil moisture  content throughout the grid generally used for global CLM  By using a climatological average for soil moisture   model spin up time is reduced with regards to deeper soil layers  The third modification to the CLM is the inclusion  of a mosaic approach for gridcells that contain bot
45. tic  compressible  sigma p vertical coordinate  model run on an Arakawa B grid in which wind and thermodynamical variables are horizontally staggered using a  time splitting explicit integration scheme in which the two fastest gravity modes are first separated from the model  solution and then integrated with smaller time steps    For application of the MM4 to climate studies  a number of physics parameterizations were replaced  mostly  in the areas of radiative transfer and land surface physics  which led to the first generation RegCM  Dickinson  et al   1989  Giorgi  1990   The first generation RegCM included the Biosphere Atmosphere Transfer Scheme   BATS   Dickinson et al   1986  for surface process representation  the radiative transfer scheme of the Community  Climate Model version 1  CCM1   a medium resolution local planetary boundary layer scheme  the Kuo type  cumulus convection scheme of  Anthes  1977  and the explicit moisture scheme of  Hsie et al   1984     A first major upgrade of the model physics and numerical schemes was documented by  Giorgi et al   1993a  b    and resulted in a second generation RegCM  hereafter referred to as REGional Climate Model version 2  RegCM2    The physics of RegCM2 was based on that of the NCAR Community Climate Model version 2  CCM2   Hack  et al   1993   and the mesoscale model MM5  Grell et al   1994   In particular  the CCM2 radiative transfer  package  Briegleb  1992  was used for radiation calculations  the non local boundar
46. uds  FC  is determined by     V RA max a RHA nin    where RH pin is the relative humidity threshold at which clouds begin to form  and RAinax is the relative humidity  where FC reaches unity  FC is assumed to be zero when RH is less than RH nin and unity when RH is greater than  RA max  gt    Precipitation P forms when the cloud water content exceeds the autoconversion threshold Q       according to the  following relation     P   Cpp  Qe  FC     Q  FC  3 24     where 1 C p  can be considered the characteristic time for which cloud droplets are converted to raindrops   The threshold is obtained by scaling the median cloud liquid water content equation according to the following     m   C80 Peer  3 25     where T is temperature in degrees Celsius  and Cacs is the autoconversion scale factor  Precipitation is assumed  to fall instantaneously    SUBEX also includes simple formulations for raindrop accretion and evaporation  The formulation for the  accretion of cloud droplets by falling rain droplets is based on the work of Beheng  1994  and is as follows     Pace T CaccQPsum  3 26     where Pycc is the amount of accreted cloud water  Caco is the accretion rate coefficient  and Pym is the  accumulated precipitation from above falling through the cloud   Precipitation evaporation is based on the work of Sundqvist et al   1989  and is as follows    Pevap   Cevap 1 z RDP sum  3 27     where Peyap is the amount of evaporated precipitation  and Cevap is the rate coefficient  For a mo
47. undary layer scheme  developed by Holtslag et al   1990   is based on a nonlocal  diffusion concept that takes into account countergradient fluxes resulting from large scale eddies in an unstable   well mixed atmosphere  The vertical eddy flux within the PBL is given by     3 10     where Y  is a    countergradient    transport term describing nonlocal transport due to dry deep convection  The  eddy diffusivity is given by the nonlocal formulation    z2  K  bwc 1 3      where k is the von Karman constant  w  is a turbulent convective velocity that depends on the friction velocity   height  and the Monin   Obhukov length  and A is the PBL height   The countergradient term for temperature and water vapor is given by     3 11     9    wh       Ye  C  3 12     where C is a constant equal to 8 5  and b lt   is the surface temperature or water vapor flux  Equation 3 12 is  applied between the top of the PBL and the top of the surface layer  which is assumed to be equal to 0 1h  Outside  this region and for momentum  Y  is assumed to be equal to 0    For the calculation of the eddy diffusivity and countergradient terms  the PBL height is diagnostically computed  from    y     Ricr u h    v h      3 0   0   11      9s     where u h   v h   and O  are the wind components and the virtual potential temperature at the PBL height  g is  gravity  Ricr is the critical bulk Richardson number  and 8  is an appropriate temperature of are near the surface   Refer to Holtslag et al   1990  and H
48. y cloud top radiative cooling  which is a critical  difference from the Holtslag PBL  If a turbulent layer  e g  the PBL  is cloud topped  then a term is added to the    TKE budget equation  de RD Eon  lin  Where AF   is the jump in long wave flux at cloud top  This term is       crucial for ensuring that turbulence is produced in the otherwise stable regions where stratocumulus exist    The UW model is written specifically to deal with moist thermodynamic processes  i e  mixing between clear  and cloudy air   its core prognostic equations are written to predict liquid water potential temperature  0  total  water mixing ratio  O  and momentum  u   The use of these variables ensures that enthalpy and water are explicitly  conserved when mixing between clear and cloudy parcels of air  care has to be taken otherwise  when using 8 and  q  to ensure conservation in this situation    At each model timestep  the UW model does the following  determines the boundary layer height  h  calculates  the surface TKE predicts the change in TKE due to PBL processes  determines the diffusivities at each height   and predicts the change in each prognostic quantity due to vertical convergence of turbulent fluxes  The full set of  equations that the UW PBL model solves at each time step  including equations 3 14 and 3 15  follows           Me   esn OV  3 16a   r  lA   3 160   Ql   IMITA   3 160   Ma  VTA  3 164     3 2 4 Convective Precipitation Schemes    Convective precipitation is computed usi
49. y layer scheme of  Holtslag  et al   1990  replaced the older local scheme  the mass flux cumulus cloud scheme of  Grell  1993  was added as  an option  and the latest version of BATS1E  Dickinson et al   1993  was included in the model    In the last few years  some new physics schemes have become available for use in the RegCM  mostly based  on physics schemes of the latest version of the Community Climate Model  CCM   Community Climate Model  version 3  CCM3   Kiehl et al   1996   First  the CCM2 radiative transfer package has been replaced by that of  the CCM3  In the CCM2 package  the effects of H20  03  O2  CO2 and clouds were accounted for by the model   Solar radiative transfer was treated with a 6 Eddington approach and cloud radiation depended on three cloud  parameters  the cloud fractional cover  the cloud liquid water content  and the cloud effective droplet radius  The  CCM3 scheme retains the same structure as that of the CCM2  but it includes new features such as the effect of  additional greenhouse gases  NO2 CH4 CFCs   atmospheric aerosols  and cloud ice  Scattering and absorption of    10    solar radiation by aerosols are also included based on the aerosol optical properties  Absorption Coefficient and  Single Scattering Albedo     A simplified explicit moisture scheme Hsie et al   1984  is included  where only a prognostic equation for cloud  water is used  which accounts for cloud water formation  advection and mixing by turbulence  re evaporation in  su
    
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