A numerical test of two approximate solutions to the radiative transfer equation using the Elsasser scheme
Abstract
In a recent paper Charlock, Herman and Zdunkowski (1976) disagree on how best to apply the Radiative Transfer Equation (RTE) in the construction of Elsasser type radiation tables. The two proposed approximation solutions are analyzed and compared against a quasiexact solution. Infrared fluxes and cooling rates are calculated for part of the 6.3 μm water vapor band for two model atmospheres. It is found that the Zdunkowski (Z) approximation yields more accurate downward fluxes, while the CharlockHerman (CH) approximation, in general, results in more accurate upward fluxes. For the two model atmospheres studied the cooling rates for the Z approximation are usually of better quality than those due to the CH solution, unless the divergence of the net flux is extremely small.
 Publication:

Pure and Applied Geophysics
 Pub Date:
 September 1979
 DOI:
 10.1007/BF00876076
 Bibcode:
 1979PApGe.117..927Z
 Keywords:

 Atmospheric Physics;
 Atmospheric Radiation;
 Radiative Transfer;
 Absorptance;
 Approximation;
 Atmospheric Models;
 Cooling;
 Flux Density;
 Temperature Distribution;
 Water Vapor;
 Geophysics;
 Elsasser radiation tables;
 Radiation transfer