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IFS Documentation front page

I Observations
II Assimilation
III Dynamics
IV Physics
V Ensemble
VI Technical
VII Waves

   

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)

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