A three-dimensional collision probability method: Criticality and neutron flux in a hexahedron setup

In this work, the collision probability (CP) method is applied to the solution of the one-group criticality problem for a hexahedron. The method is implemented with the spatial domain being partitioned into zones, where the flat-flux approximation is used. A numerical method is employed for computin...

Full description

Saved in:
Bibliographic Details
Published inAnnals of nuclear energy Vol. 36; no. 10; pp. 1614 - 1618
Main Authors de Camargo, Dayana Q., Bodmann, Bardo E.J., Garcia, Roberto D.M., de Vilhena, Marco T.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.10.2009
Subjects
Approximation
Convergence
Emission
Extrapolation
Mathematical analysis
Mathematical models
Nuclear engineering
Subdivisions
Online AccessGet full text

Cover

More Information
Summary:In this work, the collision probability (CP) method is applied to the solution of the one-group criticality problem for a hexahedron. The method is implemented with the spatial domain being partitioned into zones, where the flat-flux approximation is used. A numerical method is employed for computing the required collision probabilities. The method is based on the subdivision of the spatial zones into elements and on the assumption that the interaction between an emission element and a collision element occurs only along the path that connects their centers of mass. The calculation is repeated, increasing the number of elements successively and using Richardson extrapolation to accelerate the convergence of the sequence of results. Some sample cases are studied in detail and a comparison with results from diffusion theory is presented.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0306-4549
1873-2100
DOI:10.1016/j.anucene.2009.03.021