A three-dimensional neutron transport benchmark solution

Conference · Fri Jan 01 04:00:00 EST 1993 · Transactions of the American Nuclear Society; (United States)

OSTI ID:5874662

Ganapol, B D; Kornreich, D E ^[1]

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

For one-group neutron transport theory in one dimension, several powerful analytical techniques have been developed to solve the neutron transport equation, including Caseology, Wiener-Hopf factorization, and Fourier and Laplace transform methods. In addition, after a Fourier transform in the transverse plane and formulation of a pseudo problem, two-dimensional (2-D) and three-dimensional (3-D) problems can be solved using the techniques specifically developed for the one-dimensional (1-D) case. Numerical evaluation of the resulting expressions requiring an inversion in the transverse plane have been successful for 2-D problems but becomes exceedingly difficult in the 3-D case. In this paper, we show that by using the symmetry along the beam direction, a 2-D problem can be transformed into a 3-D problem in an infinite medium. The numerical solution to the 3-D problem is then demonstrated. Thus, a true 3-D transport benchmark solution can be obtained from a well-established numerical solution to a 2-D problem.

• OSTI ID: 5874662
• Report Number(s): CONF-930601--
• Conference Information: Journal Name: Transactions of the American Nuclear Society; (United States) Journal Volume: 68
• Country of Publication: United States
• Language: English

Related Subjects

663610* -- Neutron Physics-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BENCHMARKS
CALCULATION METHODS
COMPUTERIZED SIMULATION
FINITE ELEMENT METHOD
NEUTRAL-PARTICLE TRANSPORT
NEUTRON TRANSPORT
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
RADIATION TRANSPORT
SIMULATION
THREE-DIMENSIONAL CALCULATIONS