Adaptive Monte Carlo Algorithms Applied to Heterogeneous Transport Problems

Bhan, Katherine; Kong, Rong; Spanier, Jerome

doi:10.1007/978-3-642-04107-5_12

Cited by 2 publications

(1 citation statement)

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“…Technically speaking, these first generation (G1) adaptive methods are biased, the bias being determined by the number of expansion coefficients selected in each variable. Because of these limitations, we developed another strategy that represents the RTE solution as a histogram over a mesh (G2) that is coarse initially but which is then refined based on an information density function constructed from both the forward and the adjoint RTE solutions (G3) [13, 16, 17]. Although the initial mesh is revised in an automated way using this strategy, it is still necessary to define an initial mesh decomposition, which makes this option problem-dependent as well.…”

Section: Extended Collision and Track Length Estimatorsmentioning

confidence: 99%

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

Kong

Spanier

2013

Journal of Computational Physics

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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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Section: Extended Collision and Track Length Estimatorsmentioning

confidence: 99%