Transport-constrained extensions of collision and track length estimators for solutions of radiative transport problems

JOURNAL OF COMPUTATIONAL PHYSICS

卷:242

Article

Kong, Rong¹  Spanier, Jerome² 

[1] Veros Software Inc, Santa Ana, CA 92706 USA

[2] Univ Calif Irvine, Beckman Laser Inst & Med Clin, Irvine, CA 92612 USA

关键词: Kernel density estimators;    Radiative transport equations;    Biased and unbiased estimators;    Automated Monte Carlo algorithms;   

DOI  :  10.1016/j.jcp.2013.02.023

来源: Elsevier

【 摘 要 】

In this paper we develop novel extensions of collision and track length 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. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free