T. Trautmann et Ma. Box, FAST YET ACCURATE NET FLUX CALCULATION FOR REALISTIC ATMOSPHERES WITHVARIABLE AEROSOL LOADINGS, JOURNAL OF GEOPHYSICAL RESEARCH-ATMOSPHERES, 100(D1), 1995, pp. 1081-1092
Using a perturbation approach computational results have been obtained
for the net radiative flux at selected wavelengths in realistic aeros
ol atmospheres. A simple interpolation scheme is presented that employ
s three base model computations and allows one to obtain quasi-exact f
lux results from precomputed perturbation data in a highly efficient m
anner. It is shown how the adjoint transfer equation can be employed t
o probe the atmosphere for certain radiative effects, i.e., in the pre
sent case for the net radiative flux as a function of height. Results
for three different aerosol profiles were obtained and compared with e
xact calculations. Contour plots showing the relative error of the net
flux underline that, over a wide range of aerosol perturbations (comp
are 0.1 less than or similar to tau(c) less than or similar to 0.4 for
continental-type aerosols) and for all solar zenith angles, perturbat
ion theory produces relative errors below +/-0.25 %. Compared to commo
nly used two-stream approximations, the perturbation approach not only
offers the possibility to obtain the required model parameters off-li
ne, that is, in a precomputed manner, but also enables one to study ra
diative effects for thin and moderately thick optical media in the sen
se of a functional sensitivity approach. Thus it can clearly be conclu
ded that the methodological approach as presented in this study is sup
erior to the commonly employed two-stream approximations for radiative
transfer computations and in the future may be exploited to overcome
the shortcomings of flux models.