Frontiers in Energy >

2008 , Vol. 2 >Issue 2: 179 - 182

DOI: https://doi.org/10.1007/s11708-008-0024-3

Discrete ordinates method for three-dimensional neutron transport equation based on unstructured-meshes

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  • 1.School of Energy and Power Engineering, Xi'an Jiaotong University; 2.National Key Laboratory of Reactor System Design Technology, Nuclear Power Institute of China;

Published date: 05 Jun 2008

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Abstract

A discrete ordinates method for a three-dimensional first-order neutron transport equation based on unstructured-meshes that avoids the singularity of the second-order neutron transport equation in void regions was derived. The finite element variation equation was obtained using the least-squares method. A three-dimensional transport calculation code was developed. Both the triangular-z and the tetrahedron elements were included. The numerical results of some benchmark problems demonstrated that this method can solve neutron transport problems in unstructured-meshes very well. For most problems, the error of the eigenvalue and the angular flux is less than 0.3% and 3.0% respectively.

Cite this article

JU Haitao, WU Hongchun, YAO Dong, XIAN Chunyu . Discrete ordinates method for three-dimensional neutron transport equation based on unstructured-meshes[J]. Frontiers in Energy, 2008 , 2(2) : 179 -182 . DOI: 10.1007/s11708-008-0024-3

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