A three-dimensional analytical benchmark in a homogeneous semi-infinite medium

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The linear Boltzmann equation for the transport of neutral particles is investigated with the objective of generating a benchmark-quality calculation for the three-dimensional searchlight problem in a semi-infinite medium. The derivation assumes stationarity, one energy group, and isotropic scattering. The surface and interior scalar fluxes are the quantities of interest. The source considered is a pencil-beam incident at a point on the surface of a semi-infinite medium. The scalar flux will have two-dimensional variation only if the beam is normal; otherwise it is three-dimensional. The solutions are obtained by using Fourier and Laplace transforms and standard numerical techniques. Comparisons of ... continued below

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11 p.

Creation Information

Kornreich, D.E. & Ganapol, B.D. October 1, 1997.

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  • Kornreich, D.E. Los Alamos National Lab., NM (United States)
  • Ganapol, B.D. Univ. of Arizona, Tucson, AZ (United States). Dept. of Aerospace and Mechanical Engineering

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Description

The linear Boltzmann equation for the transport of neutral particles is investigated with the objective of generating a benchmark-quality calculation for the three-dimensional searchlight problem in a semi-infinite medium. The derivation assumes stationarity, one energy group, and isotropic scattering. The surface and interior scalar fluxes are the quantities of interest. The source considered is a pencil-beam incident at a point on the surface of a semi-infinite medium. The scalar flux will have two-dimensional variation only if the beam is normal; otherwise it is three-dimensional. The solutions are obtained by using Fourier and Laplace transforms and standard numerical techniques. Comparisons of these numerical solutions to results from the probabilistic code MCNP are also provided.

Physical Description

11 p.

Notes

INIS; OSTI as DE97008345

Source

  • Joint international conference on mathematical methods and supercomputing in nuclear applications, Saratoga Springs, NY (United States), 6-10 Oct 1997

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  • Other: DE97008345
  • Report No.: LA-UR--97-1930
  • Report No.: CONF-971005--20
  • Grant Number: W-7405-ENG-36
  • DOI: 10.2172/532559 | External Link
  • Office of Scientific & Technical Information Report Number: 532559
  • Archival Resource Key: ark:/67531/metadc693786

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Creation Date

  • October 1, 1997

Added to The UNT Digital Library

  • Aug. 14, 2015, 8:43 a.m.

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  • Feb. 26, 2016, 6:45 p.m.

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Kornreich, D.E. & Ganapol, B.D. A three-dimensional analytical benchmark in a homogeneous semi-infinite medium, report, October 1, 1997; New Mexico. (digital.library.unt.edu/ark:/67531/metadc693786/: accessed August 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.