Institute of Computational Mathematics and Mathematical Geophysics SB RAS

International Conference on Mathematical Methods in Geophysics «MMG-2008»

Akademgorodok, Novosibirsk, Russia, October 13-15, 2008

Abstracts

Mathematical and Statistical Simulation in Problems of the Physics of Atmosphere, Ocean, and Environmental Protection

Monte Carlo method and analytical averaging in evaluation of polarized radiatioin asymptotic parameters.

Tracheva N.V., Ukhinov S.A.

ICMMG SB RAS (Novosibirsk)

This paper proposes a weighted statistical modelling algorithm of estimation of polarized radiation asymptotic parameters, based on analytical evaluation of compact density of temporal distribution of radiance source. A modified local collision estimate for the scattered radiation with simulation of the Markov chain without absorption was used for evaluation of illumination on a boundary of scattering and capturing medium. To evaluate radiance intensity at the boundary a local estimate was used. In the both cases a modified method of free path simulation without particle escape was used. Results of numerical experiments demonstrating effectiveness of suggested algorithm are presented for two versions of the problem: with an aerosol scattering matrix and a Rayleigh scattering matrix.

Note. Abstracts are published in author's edition

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