Transport in renewal statistical media: Benchmarking and comparison with models

Zuchuat, Olivier; Sanchez, Richard; Zmijarevic, Igor; Malvagi, Fausto

doi:10.1016/0022-4073(94)90125-2

Cited by 39 publications

(51 citation statements)

References 11 publications

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“…These benchmark comparisons demonstrated that the Levermore-Pomraning model produces qualitatively correct and semi-quantitatively correct results for the reflection and transmission values. Zuchuat, Sanchez, Zmijarevic, and Malvagi [6] reproduced the Markovian statistics benchmark results published in Ref. [5] and extended these benchmark solutions to additional non-Markovian material statistics.…”

Section: Introductionsupporting

confidence: 58%

“…Also, as demonstrated in Ref. [6], one approximate deterministic model that gave accurate reflection and transmission probabilities produced unphysical scalar flux distributions for some problems with optically thick and purely scattering materials. These unphysical scalar flux distributions exhibited a local maximum in the interior of the spatial domain for problems with no interior sources such as in benchmark Suite I.…”

Section: Introductionmentioning

confidence: 84%

“…The material parameters for the benchmark transport problems are given in Table 1 using the notation of Ref. [6] (rather than the original notation of Ref. [5]), where the scattering ratio for material i is defined as c i = σ i s /σ i t .…”

Section: Benchmark Transport Problem Descriptionmentioning

confidence: 99%

“…The numerical solutions to both benchmark suites were obtained using the Monte Carlo procedures described by Adams et al [5] and Zuchuat et al [6] in which independent material realizations are sampled from the Markovian statistics and the transport problem is solved for each realization using the discrete ordinates transport method [14] and a high-order angular quadrature set. 5 × 10 5 independent realizations were simulated and the results averaged to obtain ensemble-averaged values for the leakage from the slab.…”

Section: Introductionmentioning

confidence: 99%

“…We also tabulate the ensemble-averaged material scalar flux distributions using the procedure described in Ref. [6]. For comparison with the results obtained using the Monte Carlo algorithms, we also present deterministic atomic mix solutions for the benchmark suites.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

A benchmark comparison of Monte Carlo particle transport algorithms for binary stochastic mixtures

Brantley

2011

Journal of Quantitative Spectroscopy and Radiative Transfer

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We numerically investigate the accuracy of two Monte Carlo algorithms originally proposed by Zimmerman [1] and Zimmerman and Adams [2] for particle transport through binary stochastic mixtures. We assess the accuracy of these algorithms using a standard suite of planar geometry incident angular flux benchmark problems and a new suite of interior source benchmark problems. In addition to comparisons of the ensemble-averaged leakage values, we compare the ensemble-averaged material scalar flux distributions. Both Monte Carlo transport algorithms robustly produce physically-realistic scalar flux distributions for the benchmark transport problems examined. The base Monte Carlo algorithm reproduces the standard Levermore-Pomraning model [3,4] results. The improved Monte Carlo algorithm generally produces significantly more accurate leakage values and also significantly more accurate material scalar flux distributions. We also present deterministic atomic mix solutions of the benchmark problems for comparison with the benchmark and the Monte Carlo solutions. Both Monte Carlo algorithms are generally significantly more accurate than the atomic mix approximation for the benchmark suites examined.

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Section: Introductionsupporting

confidence: 58%

Section: Introductionmentioning

confidence: 84%