A two-moment warm rain parameterization that includes prognostic equations
for mixing ratios and number concentrations is described. The number of act
ivated condensation nuclei is also prognosed assuming a log-linear relation
ship between the total number of activated condensation nuclei and the supe
rsaturation. Collective processes are evaluated using pre-calculated matric
es of interaction based on numerical integrations of the corresponding stoc
hastic collection equations. Mass transfer between cloud and raindrops due
to autoconversion is evaluated using Berry's parameterization, its attendan
t raindrop number concentration change is calculated considering the corres
ponding rates of change for the first and second moments of the raindrop vo
lume distribution. A Doppler kinematic reconstruction of a summertime Hawai
ian rainband occurred on August 10, 1990 is used to evaluate the credibilit
y of this scheme. (C) 1999 Elsevier Science B.V. All rights reserved.