Discrete elements method of neutron transport

Journal Article · Fri Jan 01 04:00:00 EST 1988 · Nuclear Science and Engineering; (USA)

DOI:https://doi.org/10.13182/NSE98-01-41· OSTI ID:5655778

Mathews, K A ^[1]

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1. Air Force Inst. of Tech., Wright-Patterson AFB, OH (USA)

In this paper a new neutron transport method, called discrete elements (L/sub N/) is derived and compared to discrete ordinates methods, theoretically and by numerical experimentation. The discrete elements method is based on discretizing the Boltzmann equation over a set of elements of angle. The discrete elements method is shown to be more cost-effective than discrete ordinates, in terms of accuracy versus execution time and storage, for the cases tested. In a two-dimensional test case, a vacuum duct in a shield, the L/sub N/ method is more consistently convergent toward a Monte Carlo benchmark solution.

• OSTI ID: 5655778
• Journal Information: Nuclear Science and Engineering; (USA), Journal Name: Nuclear Science and Engineering; (USA) Vol. 98:1; ISSN 0029-5639; ISSN NSENA
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
220100* -- Nuclear Reactor Technology-- Theory & Calculation
220400 -- Nuclear Reactor Technology-- Control Systems
ACCURACY
BENCHMARKS
BOLTZMANN EQUATION
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
DISCRETE ORDINATE METHOD
EQUATIONS
MONTE CARLO METHOD
NEUTRAL-PARTICLE TRANSPORT
NEUTRON TRANSPORT
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
RADIATION TRANSPORT