Benchmark results for particle transport in a binary Markov statistical medium
dc.contributor.author | Adams, M. L. | en_US |
dc.contributor.author | Larsen, Edward W. | en_US |
dc.contributor.author | Pomraning, G. C. | en_US |
dc.date.accessioned | 2006-04-07T20:40:47Z | |
dc.date.available | 2006-04-07T20:40:47Z | |
dc.date.issued | 1989-10 | en_US |
dc.identifier.citation | Adams, M. L., Larsen, E. W., Pomraning, G. C. (1989/10)."Benchmark results for particle transport in a binary Markov statistical medium." Journal of Quantitative Spectroscopy and Radiative Transfer 42(4): 253-266. <http://hdl.handle.net/2027.42/27731> | en_US |
dc.identifier.uri | http://www.sciencedirect.com/science/article/B6TVR-46D6CVK-4J/2/63d79b7e315f407b86874e758a74fd62 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/27731 | |
dc.description.abstract | We give numerical benchmark results for particle transport in a randomly mixed binary medium, with the mixing statistics described as a homogeneous Markov process. A Monte Carlo procedure is used to generate a physical realization of the statistics, and a discrete ordinate numerical transport solution is generated for this realization. The ensemble averaged solution, as well as the variance, is obtained by averaging a large number of such calculations. Reflection and transmission results are given for several problems in both rod and planar geometry. In a separate development, two coupled transport equations are derived which formally described transport in a random binary mixture for arbitrary mixing statistics. Closing these equations by approximating their coupling terms in a low order and intuitive way leads to a model for stochastic transport previously obtained via the master equation. The present derivation, based upon approximating exact equations, allows in principle the opportunity to develop more accurate models by making higher order approximations in the coupling terms. | en_US |
dc.format.extent | 917109 bytes | |
dc.format.extent | 3118 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Elsevier | en_US |
dc.title | Benchmark results for particle transport in a binary Markov statistical medium | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbsecondlevel | Chemistry | en_US |
dc.subject.hlbsecondlevel | Biological Chemistry | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.subject.hlbtoplevel | Health Sciences | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Nuclear Engineering, The University of Michigan, Ann Arbor, MI 48109, U.S.A. | en_US |
dc.contributor.affiliationother | Lawrence Livermore National Laboratory, Livermore, CA 94550, U.S.A. | en_US |
dc.contributor.affiliationother | School of Engineering and Applied Science, University of California at Los Angeles, Los Angeles, CA 90024, U.S.A. | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/27731/1/0000123.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1016/0022-4073(89)90072-1 | en_US |
dc.identifier.source | Journal of Quantitative Spectroscopy and Radiative Transfer | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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