Equations

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 H2O. Separate equations are needed for water vapor, liquid water, and cloud-ice particles.

PREVIOUS: Characteristics of Climate Models

NEXT: Physical Processes