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

Journal Article · Sat Jun 01 00:00:00 EDT 2013 · Journal of Computational Physics

DOI:https://doi.org/10.1016/J.JCP.2013.02.023· OSTI ID:22233584

Kong, Rong ^[1]; Spanier, Jerome ^[2]

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1. Veros Software Inc., 2333 N. Broadway, Santa Ana, CA 92706 (United States)
2. Beckman Laser Institute and Medical Clinic, 1002 Health Science Road E., University of California, Irvine, CA 92612 (United States)

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.

• OSTI ID: 22233584
• Journal Information: Journal of Computational Physics, Vol. 242; Other Information: Copyright (c) 2013 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
ALGORITHMS
COLLISIONS
COMPARATIVE EVALUATIONS
DENSITY
EQUATIONS
KERNELS
LENGTH
MONTE CARLO METHOD
NUMERICAL SOLUTION
ONE-DIMENSIONAL CALCULATIONS
PERFORMANCE
TRANSPORT THEORY