Institute of Computational Mathematics and Mathematical Geophysics

Abstracts

Plenary reports

Recently the attention to the problem of radiation transfer in the atmosphere has strongly increased as a result of complex analysis of the physical, chemical, meteorological, and biological processes responsible for formation of the Earth's radiation field. Radiation processes play the leading part in the atmospheric heat and power exchange and, consequently, in climate formation on the global and local scales. The impact of anthropogenic and natural factors on the radiative processes in the atmosphere-Earth system may cause the destruction of the Earth's biosphere self-restoration potential thus leading to catastrophic consequences. Adequate understanding of the radiative processes is necessary for providing scientific and technological progress and for preventing possible negative consequences of the climate changes or significant deviations of the spectral-radiative balance of the planet. Unfortunately, no possible climate and biophysical changes can be predicted at present for certain. This is so, in particular, because of low accuracy of the description of radiation in the climate models as well as of the atmospheric and oceanic circulation.

This paper continues our long-term research on the development of methods and algorithms for numerical solution of the problems of radiative transfer in scattering, absorbing, and emitting spherical systems with a complex structure. This work has been stimulated, to a great extent, by a significant change in the information technologies due to implementation of high-efficiency multiprocessor computers with parallel structures.

The radiation transport in the Earth atmosphere is being investigated to scale over all planet. The method of the numerical solution of the general boundary-value problem in the radiative transfer theory for a spherical shell with a reflecting underlying surface is gived for the mathematical modelling of the Earth radiation field. The models of the influence functions for the transfer theory spherical problem are formulated. The global radiation field of the planet as atmosphere-tessellated Earth surface (land, ocean) is calculated by the functional - the optical transfer operator with the influence functions as its kernel.

The work have been supported by the Russian Foundation for Basic Research (Projects 03-01-00132, 03-01-06018).

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