Equations
The vector equations describing these motions and processes in the
atmosphere are given in Figure 1. In these equations, the
wind has horizontal components u and v in the east and north directions,
respectively, and vertical component w. T is temperature, p is pressure,
rho is density, g is the acceleration due to gravity, R is the flux of
radiation, omega is the vector describing the angular rotation of the earth
on its axis, F is the frictional force of drag due to the earth's surface,
cv is the specific heat capacity at constant volume, kT is the turbulent
diffusion constant, C represents the effect of heating (or cooling) by
condensation, St includes other unaccounted for sources of heat, q is
specific humidity, S represents sources of water vapor, and Ro is the
universal gas constant. Actual models have three equations rather than
just one for . Separate equations are needed for water vapor, liquid
water, and cloud-ice particles.
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