A 3-D neutron transport benchmark solution

Journal Article · Sun Jan 01 04:00:00 EST 1995 · Transport Theory and Statistical Physics

DOI:https://doi.org/10.1080/00411459508205121· OSTI ID:391352

Ganapol, B D; Kornreich, D E ^[1]

---

1. Univ. of Arizona, Tucson, AZ (United States)

Solutions of the one-group neutron transport equation are provided for point-beam and finite isotropic line sources in a homogeneous 3-D infinite medium with isotropic scattering. The solution is obtained via Fourier transforms and analytical/numerical inversions. The transport equation is cast into a 2-D equivalent form, which can ultimately be put in terms of a 1-D problem, thereby providing analytical leverage. The inversions use standard numerical techniques such as Gauss-Legendre quadrature and summation of infinite series. Even though the solution obtained here uses equivalent forms in fewer dimensions, it does represent a true 3-D analytical benchmark which is useful for both code verification and educational enrichment. 15 refs., 8 figs., 3 tabs.

• Sponsoring Organization: USDOE
• DOE Contract Number: FG03-92ER75782
• OSTI ID: 391352
• Journal Information: Transport Theory and Statistical Physics, Journal Name: Transport Theory and Statistical Physics Journal Issue: 1-3 Vol. 24; ISSN TTSPB4; ISSN 0041-1450
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ANALYTICAL SOLUTION
BENCHMARKS
FOURIER TRANSFORMATION
NEUTRON TRANSPORT THEORY
THREE-DIMENSIONAL CALCULATIONS