Monte-Carlo simulation of a radiative transfer problem in a random medium - Application to a binary mixture

Details Monte-Carlo simulation of a radiative transfer problem in a random medium - Application to a binary mixture Monte-Carlo simulation of a radiative transfer problem in a random medium - Application to a binary mixture

Aug 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993jqsrt..50..127a&link_type=abstract

Journal of Quantitative Spectroscopy & Radiative Transfer (ISSN 0022-4073), vol. 50, no. 2, p. 127-147.

Mathematics

Probability

11

Binary Mixtures, Monte Carlo Method, Radiative Transfer, Random Processes, Absorptivity, Massively Parallel Processors, Stochastic Processes, Three Dimensional Flow

Scientific paper

This paper considers monochromatic radiative transfer in a diffusive 3D random binary mixture. The absorption coefficient along any line-of-sight is a homogeneous Markov process, which is described by a 3D Kubo-Anderson process. The transfer equation is solved numerically by Monte Carlo simulations on a massively parallel computer by attaching one or several photons to each processor. With a CM-2 having 8000 processors, it is possible, with an adequate strategy, to follow simultaneously millions of photons in hundreds of realizations and to reach optical thicknesses up to 100 with dispersions of order 0.02 for the reflection and transmission coefficients. The simulations are validated, in the case of the 1D rod geometry, by comparison with the exact analytical solution, constructed by averaging the solution of the nonstochastic problem (diffusion in a rod of given optical thickness) over the probability density of the optical thickness. The influence of the dimension of the Kubo-Anderson process is studied for the case of a slab, and it is shown that a slab consisting in a pile of layers (1D process) is more transparent than one which consists in a stack of lumps (3D process).

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