A cloud-evaporation parameterization for general circulation models

A cloud consists of I "cloudlets', each comprising cloud droplets with radii from zero to r_max, the latter value depending on the drop size distribution (DSD). Evaporation occurs only within the EZ comprised of J ≤ I cloudlets. When the cloudlet at cloud edge evaporates, the EZ progresses one cloudlet into the cloud's interior. This eventually results in evaporation of the cloud in time t_E = K(H/h)r² _max(1 - S_e)^-1, where H is the cloud thickness, h the EZ thickness, S_e the environmental saturation ratio, and K a constant. Values of t_E(1 - S_e) versus h are presented for eight observed DSDs. For use in atmospheric general circulation models (GCMs), the cloud evaporation process is represented by dm/dt = -(1 - S_e)m/τ, where m is the cloud-water mixing ratio and τ = K(H/h)r² _maxn^-1. With parameter n chosen sufficiently large, a GCM cloud will evaporate virtually entirely in time t_E, for example, 99.3% for n = 5. -from Authors