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

Journal of Quantitative Spectroscopy and Radiative Transfer

Volumn 112, Issue 4, 2011, Pages 599-618

  Brantley, Patrick S ^a  

^a LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

Binary stochastic mixture; Monte Carlo particle transport; Stochastic media

Indexed keywords

ANGULAR FLUX; BENCH-MARK PROBLEMS; BENCHMARK COMPARISON; BENCHMARK SUITES; ENSEMBLE-AVERAGED; LEAKAGE VALUE; MONTE CARLO; MONTE CARLO ALGORITHMS; MONTE CARLO PARTICLES; PARTICLE TRANSPORT; PLANAR GEOMETRIES; SCALAR FLUXES; STOCHASTIC MEDIA; STOCHASTIC MIXTURES; TRANSPORT ALGORITHMS; TRANSPORT PROBLEMS;

BINARY MIXTURES; GEOMETRY; MONTE CARLO METHODS; PARTICLE SEPARATORS; STOCHASTIC SYSTEMS;

APPROXIMATION ALGORITHMS;

ALGORITHM; MONTE CARLO ANALYSIS; NUMERICAL MODEL; PARTICLE MOTION; STOCHASTICITY;

EID: 78751569955     PISSN: 00224073     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jqsrt.2010.06.007     Document Type: Article

References (24)

1. Zimmerman GB. Recent developments in Monte Carlo techniques. Lawrence Livermore National Laboratory Report UCRL-JC-105616; 1990.
2. Zimmerman GB, Adams ML. Algorithms for Monte-Carlo particle transport in binary statistical mixtures. Trans Am Nucl Soc 1991:64;287.
3. Levermore C.D., Pomraning G.C., Sanzo D.L., Wong J. Linear transport theory in a random medium. J Math Phys 1986, 27:2526-2536.
4. Pomraning G.C. Linear kinetic theory and particle transport in stochastic mixtures 1991, World Scientific Publishing Co. Pte. Ltd, River Edge, NJ, USA.
5. Adams M.L., Larsen E.W., Pomraning G.C. Benchmark results for particle transport in a binary Markov statistical medium. J Quant Spectrosc Radiat Transfer 1989, 42:253-266.
6. Zuchuat O., Sanchez R., Zmijarevic I., Malvagi F. Transport in renewal statistical media: benchmarking and comparison with models. J Quant Spectrosc Radiat Transfer 1994, 51:689-722.
7. Murata I., Mori T., Nakagawa M. Continuous energy monte carlo calculations of randomly distributed spherical fuels in high-temperature gas-cooled reactors base on a statistical geometry model. Nucl Sci Eng 1996, 123:96-109.
8. Donovan T.J., Danon Y. Application of Monte Carlo chord-length sampling algorithms to transport through a two-dimensional binary stochastic mixture. Nucl Sci Eng 2003, 143:226-239.
9. Donovan TJ, Danon Y. Implementation of Chord length sampling for transport through a binary stochastic mixture. In: Proceedings of the nuclear mathematical and computational sciences: a century in review, a century anew, Gatlinburg, TN. La Grange Park, IL: American Nuclear Society; April 6-11, 2003 [on CD-ROM].
10. Donovan TJ, Danon Y. HTGR unit fuel pebble k-infinity results using Chord length sampling. Trans Am Nucl Soc 2003;89:37-9.
11. Ji W, Martin WR. Monte Carlo simulation of VHTR particle fuel with chord length sampling. In: Joint international topical meeting on mathematics & computation and supercomputing in nuclear applications (M&C+SNA 2007), Monterey, CA. La Grange Park, IL: American Nuclear Society; April 15-19, 2007 [on CD-ROM].
12. Brantley PS, Palmer TS. Levermore-Pomraning model results for an interior source binary stochastic medium benchmark problem. In: Proceedings of the international conference on mathematics, computational methods & reactor physics (M&C 2009), Saratoga Springs, New York. La Grange Park, IL: American Nuclear Society; May 3-7, 2009 [on CD-ROM].
13. Vasques R. A review of particle transport theory in a binary stochastic medium. Masters Dissertation, Universidade Federal Do Rio Grande Do Sul; 2005.
14. Lewis E.E., Miller W.F. Computational methods of neutron transport 1993, American Nuclear Society, La Grange Park, IL, USA.
15. Brantley PS. A comparison of Monte Carlo particle transport algorithms for binary stochastic mixtures. In: Proceedings of the international conference on mathematics, computational methods & reactor physics (M&C 2009), Saratoga Springs, New York. La Grange Park, IL: American Nuclear Society; May 3-7, 2009 [on CD-ROM].
16. Brantley PS. A comparison of Monte Carlo particle transport algorithms for an interior source binary stochastic medium benchmark suite. Trans Am Nucl Soc 2009;November 15-19 [on CD-ROM].
17. Miller P. pyMPI-an introduction to parallel Python using MPI. Lawrence Livermore National Laboratory report UCRL-WEB-151052; 2002. See also 〈〉, 2009. http://pympi.sourceforge.net.
18. Gropp W., Lusk E., Skjellum A. Using MPI: portable parallel programming with the message-passing interface 1999, The MIT Press, Cambridge, MA, USA.
19. Zuchuat O. Personal communication, 2008.
20. Sahni D.C. Equivalence of generic equation method and the phenomenological model for linear transport problems in a two-state random scattering medium. J Math Phys 1989, 30:1554-1559.
21. Zimmerman GB. Personal communication, 2009.
22. Davis IM, Palmer TS, Larsen EW. A comparison of binary stochastic media transport models in "solid-void" mixtures. In: PHYSOR 2004-the physics of fuel cycles and advanced nuclear systems: global developments, Chicago, IL. La Grange Park, IL: American Nuclear Society; April 25-29, 2004 [on CD-ROM].
23. Larsen EW, Vasques R, Vilhena MT. Particle transport in the 1-D diffusive atomic mix limit. In: Proceedings of the international topical meeting (M&C 2005) on mathematics and computation, supercomputing, reactor physics and nuclear and biological applications, Palais des Papes, Avignon, France. La Grange Park, IL: American Nuclear Society; September 12-15, 2005 [on CD-ROM].
24. Su B., Pomraning G.C. Modification to a previous higher order model for particle transport in binary stochastic media. J Quant Spectrosc Radiat Transfer 1995, 54:779-801.