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KIAM Preprint  42, Moscow, 2016
Authors: Gertsev M.N., Shilkov A. V., Aristova E. N.
Heat radiation transfer in the Earth atmosphere
There are three types of heat radiation transfer in the Earth atmosphere calculation are compared at this work. They are: direct (exact precise) line-by-line calculation, exact lebesgue average method calculation and fast approximate lebesgue calculation. An approximate lebesgue calculation use simplified procedure of lebesgues coefficient assembly. The difference between the direct and the both lebesgues methods dont exceed 5%. The computing resources retrenchment are more than 10000 times in lebesgues calculations. The fast procedure of lebesgues coefficient assembly leads to additional essential operations economy. All calculations are executing by the finite-analytic discrete scheme for the even-odd kinetic equations set. The fast procedure lebesgues coefficient assembly makes it possible to execute a set of similar calculations of atmospheric radiations. The database of fast lebesgues coefficient assembly might be used by unqualified users on the base of any transport code.
radiation transfer, even-odd kinetic equation set, finite-analytic discrete scheme, quasidiffusion method, lebesgue average method
Publication language: russian,  pages: 28
Research direction:
Mathematical modelling in actual problems of science and technics
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About authors:
  • Gertsev Mikhail Nikolaevich, 
  • Shilkov Alexander Victorovich, RAS
  • Aristova Elena Nikolaevna, RAS