An application of Chandrasekhar's method to the energy-dependent neutron transport equation in a semi-infinite medium

Conference · Sun Jan 01 04:00:00 EST 1989 · Transactions of the American Nuclear Society; (USA)

OSTI ID:5323113

Baker, R S; Monahan, S P; Zhang, H B

Although benchmark-quality solutions have recently been achieved for the energy-dependent neutron Boltzmann equation in an infinite medium with isotropic scattering, no such solution exists for a semi-infinite medium. Such a solution would be of interest both as an educational tool and as a benchmark to assess numerical transport algorithms. The author's goal is to derive a benchmark solution by expanding the angular flux in multiple collision form, then treat the spatial and energy dependence separately for each collision. The energy variation is found by application of an analytic Laplace transform inversion, while the exiting angular flux is obtained using Chandrasekhar's method. The interior scalar flux can then be written in terms of a Laplace inversion of the exiting angular flux, which is performed numerically. Finally, the energy and spatial dependences are recombined to give the energy-dependent scalar flux.

• OSTI ID: 5323113
• Report Number(s): CONF-890604--
• Conference Information: Journal Name: Transactions of the American Nuclear Society; (USA) Journal Volume: 59
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
220100* -- Nuclear Reactor Technology-- Theory & Calculation
654003 -- Radiation & Shielding Physics-- Neutron Interactions with Matter
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALGORITHMS
BENCHMARKS
BOLTZMANN EQUATION
CHANDRASEKHAR THEORY
DIFFERENTIAL EQUATIONS
ENERGY DEPENDENCE
EQUATIONS
ISOTROPY
MATHEMATICAL LOGIC
NEUTRAL-PARTICLE TRANSPORT
NEUTRON TRANSPORT
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICS
RADIATION TRANSPORT
REACTOR PHYSICS
SCALARS
SPACE DEPENDENCE