Transmission probability method based on triangular-Z mesh for solving neutron transport equation in three-dimensional geometry

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Abstract

This paper presents a transmission probability method (TPM) solve the neutron transport equation in three-dimensional triangular-z geometry. The neutron source within the mesh is assumed to be spatially uniform and isotropic. On the mesh surface, the constant and the simplified P1 approximation are invoked for the anisotropic angular neutron flux distribution. Based on this model, a code TPMTDT is encoded. It was verified by three 3D Takeda benchmark problems, in which the first two problems are in XYZ geometry and the last one is in hexagonal-z geometry. The numerical results of the present method agree well with those of Monte-Carlo calculation method and Spherical Harmonics (PN) method.

Original languageEnglish
Title of host publication2008 Proceedings of the 16th International Conference on Nuclear Engineering, ICONE16
Pages883-889
Number of pages7
DOIs
StatePublished - 2008
Event16th International Conference on Nuclear Engineering, ICONE16 2008 - Orlando, FL, United States
Duration: 11 May 200815 May 2008

Publication series

NameInternational Conference on Nuclear Engineering, Proceedings, ICONE
Volume2

Conference

Conference16th International Conference on Nuclear Engineering, ICONE16 2008
Country/TerritoryUnited States
CityOrlando, FL
Period11/05/0815/05/08

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