Transport-Constrained Extensions of Collision and Track Length Estimators for Solutions of Radiative Transport Problems.

J Comput Phys

Veros Software Inc., 2333 N. Broadway, Santa Ana, CA 92706.

Published: June 2013

In this paper we develop novel extensions of collision and track lengh estimators for the complete space-angle solutions of radiative transport problems. We derive the relevant equations, prove that our new estimators are unbiased, and compare their performance with that of more conventional ) estimators. Such comparisons based on numerical solutions of simple one dimensional slab problems indicate the the potential superiority of the new estimators for a wide variety of more general transport problems.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3775388PMC
http://dx.doi.org/10.1016/j.jcp.2013.02.023DOI Listing

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