A technique is developed to model radiative transfer in three-dimensio
nal natural clouds with a standard discrete ordinates finite-element m
ethod modified to evaluate cell-surface-averaged radiances. A log-leas
t-squares-based scale transformation is used to improve the discrete p
hase-function model. We handle dense media by assuming constant diffus
e radiances over input faces to cubic cells, allowing analytical forms
for transmittance factors. Transmission equations are combined with d
iffuse volumetric single-scattering calculations to support evaluation
s of cell energy balance. Energy not accounted for volumetrically is t
reated with surface-based effects. Results produced show accurate flux
computations at over 30 optical depths per modeled cell. Comparisons
with nonuniform cloud Monte Carlo calculations show less than 1% rms e
rror and correlations greater than 0.999 for cases in which cloud-dens
ity fluctuations are resolved. OCIS codes: 010.1300, 010.1310, 010.132
0, 010.1110, 290.1090.