A three-dimensional analytical benchmark in a homogeneous semi-infinite medium
- Los Alamos National Lab., NM (United States)
- Univ. of Arizona, Tucson, AZ (United States). Dept. of Aerospace and Mechanical Engineering
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.
- Research Organization:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 532559
- Report Number(s):
- LA-UR-97-1930; CONF-971005-20; ON: DE97008345; TRN: 97:019439
- Resource Relation:
- Conference: Joint international conference on mathematical methods and supercomputing in nuclear applications, Saratoga Springs, NY (United States), 6-10 Oct 1997; Other Information: PBD: [1997]
- Country of Publication:
- United States
- Language:
- English
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