2003
DOI: 10.13182/nse03-a2332
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Application of Monte Carlo Chord-Length Sampling Algorithms to Transport through a Two-Dimensional Binary Stochastic Mixture

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Cited by 29 publications
(19 citation statements)
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“…This approach was followed by Donovan and Danon [8] in the generation of their two-dimensional benchmark results and by Ji and Martin [11] in the generation of their three-dimensional benchmark results.…”
Section: Generation Of Benchmark Solutionsmentioning
confidence: 99%
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“…This approach was followed by Donovan and Danon [8] in the generation of their two-dimensional benchmark results and by Ji and Martin [11] in the generation of their three-dimensional benchmark results.…”
Section: Generation Of Benchmark Solutionsmentioning
confidence: 99%
“…Murata, Mori, and Nakagawa [7] examined the use of similar algorithms for modeling spherical fuels in high-temperature gas-cooled reactors. Donovan and Danon [8] applied the Levermore-Pomraning algorithm proposed by Zimmerman (Algorithm A) to the specific case of a two-dimensional binary stochastic mixture composed of circular disks of one material randomly distributed in a background matrix material. Donovan and Danon generally refer to these types of Monte Carlo algorithms as "chord length sampling" (CLS) algorithms.…”
Section: Introductionmentioning
confidence: 99%
“…Matrix cell number idum (2) i, the number of concentric spheres making up the stochastic sphere. idum(2+1 to 2+i) The cell numbers of the stochastic sphere idum(3+i)…”
Section: Modifications To Mcnpmentioning
confidence: 99%
“…The average chord length in the matrix material rdum (2) The radius of the stochastic sphere rdum (3) X coordinate of the representative stochastic sphere rdum (4) Y coordinate of the representative stochastic sphere rdum (5) Z coordinate of the representative stochastic sphere…”
Section: Rdum(1)mentioning
confidence: 99%
“…However, for such reactors, as the pebble bed reactor, the double heterogeneity of the fuel particles randomly placed in the core makes a full Monte Carlo simulation impossible. To overcome these geometrical difficulties, several authors [1][2][3] propose an alternative method that consists of simulating the trajectory of the neutrons by sampling the distributions of chords in different materials. Simple models of stochastic media 4) assume that the chord length distribution inside each material is exponential (i.e.…”
mentioning
confidence: 99%