Flux-limiting in three-dimensional stochastic radiative transfer.

Physics

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Radiative Transfer

Scientific paper

The author reports the development of a flux-limiting algorithm for radiative transfer in a Markovian mixture consisting of two immiscible materials. The underlying stochastic transport description consists of two coupled equations of radiative transfer for the ensemble-averaged specific intensity of radiation. This transport description, while exact only in the absence of scattering, has been demonstrated to be a robust and accurate model in the presence of scattering. The flux-limited diffusion description developed here is applicable to general three-dimensional geometry, in contrast to an earlier effort where algebraic difficulties prohibited explicit results except in a one-dimensional setting.

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