A Levermore-Pomraning Algorithm for Implicit Monte Carlo Radiative Transfer in Binary Stochastic Media

摘要

In a stochastic medium, the material properties at a given spatial location are known only statistically [1]. The most common approach to solving particle transport prob lems involving binary stochastic media is to use the atomic mix (AM) approximation [1] in which the transport prob lem is solved using ensemble-averaged (homogenized) ma terial properties. The AM approximation is conceptually simple and computationally efficient but may not be accu rate enough for a given application. A common determin istic model developed specifically for solving linear par ticle transport problems in binary stochastic media is the Levermore-Pomraning (LP) model [1,2]. Zimmerman and Adams [3] proposed a Monte Carlo algorithm that is equiv alent to the LP atroroximation.