APPENDIX A List of symbols
transfer coefficient for heat
transfer coefficient for momentum (drag coefficient)
transfer coefficient for moisture
specific heat at constant pressure of moist air
specific heat at constant pressure of dry air
specific heat at constant pressure of water vapour
kinetic energy lost by the diffusion process
Coriolis parameter
horizontal wind speed at blending height (for pp of 10 m wind)
horizontal wind speed at 10 m level (for pp)
acceleration of gravity
diagnosed boundary layer height
blending height (for pp of 10 m wind)
vertical turbulent flux of
surface humidity flux
surface flux of dry static energy
surface momentum flux
turbulent exchange coefficient for
turbulent exchange coefficient for heat
turbulent exchange coefficient for momentum
turbulent exchange coefficient for moisture
Obukhov length
latent heat of vaporization/sublimation
mixing length for heat
mixing length for momentum
number of tiles
pressure
Prandtl number
specific humidity
virtual temperature flux in the surface layer
saturation specific humidity
gas constant for dry air
gas constant for water vapour
net long wave radiation at the surface
net short wave radiation at the surface
relative humidity at the surface
local Richardson number
bulk Richardson number for the surface layer
dry static energy
virtual dry static energy
temperature
time
horizontal wind speed
,
horizontal wind components
friction velocity
free convection velocity scale
turbulent velocity scale
roughness length for momentum (aerodynamic roughness length)
roughness length for heat
roughness length for moisture
scale height of the boundary layer
height of the lowest model level
roughness length for momentum at SYNOP station
roughness length for heat at SYNOP station
roughness length for moisture at SYNOP station
height of sreen level observation (2 m)
height of surface wind observation (10 m)
implicitness factor for diffusion equation
Charnock parameter
scaling parameter for asymptotic mixing length
time step
vertical grid length
virtual potential temperature
Von Kármán's constant
asymptotic mixing length
conductivity of
kinematic viscosity
density
standard deviation of horizontal wind
geopotential
universal gradient stability function for wind
universal gradient stability function for temperature
universal gradient stability function for moisture
symbolic reference to a conservative quantity
universal profile stability function for wind
universal profile stability function for temperature
universal profile stability function for moisture
Subscripts:
tile index
level index (counted from model top downwards)
referring to lowest model level
referring to the skin layer
referring to the surface
Superscrips:
index for old time level, indicating beginning of time step
index for new time level, indicating end of time step
index referring to the latest full radiation time step
Special symbols:
implicit variable
defined by equation (3.44)