Bj. Su et Gc. Pomraning, BENCHMARK RESULTS FOR PARTICLE-TRANSPORT IN BINARY NON-MARKOVIAN MIXTURES, Journal of quantitative spectroscopy & radiative transfer, 50(2), 1993, pp. 211-226
Numerical benchmark results are reported for particle transport in a r
andomly mixed binary medium, with the stochastic mixing described by a
variety of stationary and homogeneous renewal statistics. Such statis
tics are quantified by chord length distributions for the two immiscib
le components of the mixture. A simple Monte Carlo procedure is used t
o generate physical realizations of the statistics, and the transport
equation is solved numerically for each realization. The ensemble-aver
aged solutions and certain variance results are obtained by appropriat
ely averaging over a large number of such calculations. The geometry c
onsidered is the rod model of transport, in which particles are constr
ained to move along a single axis.