A numerical test of two approximate solutions to the radiative transfer equation using the Elsasser scheme |
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Authors: | Wilford Zdunkowski Paul Breslin |
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Institution: | (1) Institut für Meteorologie Mainz, Mainz, Germany;(2) United States Air Force, USA;(3) Present address: University of Utah, Salt Lake City, USA |
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Abstract: | In a recent paperCharlock, Herman andZdunkowski (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 m water vapor band for two model atmospheres. It is found that the Zdunkowski (Z) approximation yields more accurate downward fluxes, while the Charlock-Herman (CH) approximation, in general, results in more accurate upward fluxes. For the two model atmospheres studied the cooling rates for theZ approximation are usually of better quality than those due to the CH solution, unless the divergence of the net flux is extremely small. |
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Keywords: | Elsasser radiation tables Radiation transfer |
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