LEVERMORE-POMRANING MODEL RESULTS FOR AN INTERIOR SOURCE BINARY STOCHASTIC MEDIUM BENCHMARK PROBLEM

摘要

The accuracy of the Levermore-Pomraning model for particle transport through a binary stochastic medium is investigated using an interior source benchmark problem. As in previous comparisons of the model for incident angular flux benchmark problems, the model accurately computes the leakage and the scalar flux distributions for optically thin slabs. The model is less accurate for more optically thick slabs but has a maximum relative error in the leakage of approximately 10% for the problems examined. The maximum root-mean-squared relative errors for the total and material scalar flux distributions approach 65% for the more optically thick slabs. Consistent with previous benchmark comparisons, the results of these interior source benchmark comparisons demonstrate that the Levermore-Pomraning model produces qualitatively correct and semi-quantitatively correct results for both leakage values and scalar flux distributions.