Stochastic transition matrix approach to stochastic transport and its implementation in two-stream transport

Abstract

The "stochastic transition matrix approach" to stochastic transport is described, and its implementation is demonstrated adopting the two-stream stochastic transport model and applying it to a purely scattering, and a purely absorbing slab. The conditional averages of the angular flux are obtained analytically in these applications, and shown that they are everywhere positive in the slab within their range of validity. The correct interpretation and use of the MLP equations are emphasized. © 2007 Elsevier Ltd. All rights reserved.