FLUX-LIMITING IN 3-DIMENSIONAL STOCHASTIC RADIATIVE-TRANSFER

We report the development of a flux-limiting algorithm for radiative t ransfer in a Markovian mixture consisting of two immiscible materials. The underlying stochastic transport description consists of two coupl ed equations of radiative transfer for the ensemble-averaged specific intensity of radiation. This transport description, while exact only i n the absence of scattering, has been demonstrated to be a robust and accurate model in the presence of scattering. The flux-limited diffusi on description developed here is applicable to general three-dimension al geometry, in contrast to an earlier effort where algebraic difficul ties prohibited explicit results except in a one-dimensional setting.