Transmission probability method for solving neutron transport equation in three-dimensional triangular-z geometry

Guoming Liu; Hongchun Wu; Liangzhi Cao

doi:10.1016/j.nucengdes.2008.03.002

Transmission probability method for solving neutron transport equation in three-dimensional triangular-z geometry

Guoming Liu
, Hongchun Wu
, Liangzhi Cao

School of Energy and Power Engineering

Xi'an Jiaotong University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

This paper presents a transmission probability method (TPM) to solve the neutron transport equation in three-dimensional triangular-z geometry. The source within the mesh is assumed to be spatially uniform and isotropic. At the mesh surface, the constant and the simplified P₁ approximation are invoked for the anisotropic angular 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, and an unstructured geometry problem. The results of the present method agree well with those of Monte-Carlo calculation method and Spherical Harmonics (P_N) method.

Original language	English
Pages (from-to)	2285-2291
Number of pages	7
Journal	Nuclear Engineering and Design
Volume	238
Issue number	9
DOIs	https://doi.org/10.1016/j.nucengdes.2008.03.002
State	Published - Sep 2008

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10.1016/j.nucengdes.2008.03.002

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title = "Transmission probability method for solving neutron transport equation in three-dimensional triangular-z geometry",

abstract = "This paper presents a transmission probability method (TPM) to solve the neutron transport equation in three-dimensional triangular-z geometry. The source within the mesh is assumed to be spatially uniform and isotropic. At the mesh surface, the constant and the simplified P1 approximation are invoked for the anisotropic angular 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, and an unstructured geometry problem. The results of the present method agree well with those of Monte-Carlo calculation method and Spherical Harmonics (PN) method.",

author = "Guoming Liu and Hongchun Wu and Liangzhi Cao",

year = "2008",

month = sep,

doi = "10.1016/j.nucengdes.2008.03.002",

language = "英语",

volume = "238",

pages = "2285--2291",

journal = "Nuclear Engineering and Design",

issn = "0029-5493",

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T1 - Transmission probability method for solving neutron transport equation in three-dimensional triangular-z geometry

AU - Liu, Guoming

AU - Wu, Hongchun

AU - Cao, Liangzhi

PY - 2008/9

Y1 - 2008/9

N2 - This paper presents a transmission probability method (TPM) to solve the neutron transport equation in three-dimensional triangular-z geometry. The source within the mesh is assumed to be spatially uniform and isotropic. At the mesh surface, the constant and the simplified P1 approximation are invoked for the anisotropic angular 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, and an unstructured geometry problem. The results of the present method agree well with those of Monte-Carlo calculation method and Spherical Harmonics (PN) method.

AB - This paper presents a transmission probability method (TPM) to solve the neutron transport equation in three-dimensional triangular-z geometry. The source within the mesh is assumed to be spatially uniform and isotropic. At the mesh surface, the constant and the simplified P1 approximation are invoked for the anisotropic angular 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, and an unstructured geometry problem. The results of the present method agree well with those of Monte-Carlo calculation method and Spherical Harmonics (PN) method.

UR - https://www.scopus.com/pages/publications/48149100600

U2 - 10.1016/j.nucengdes.2008.03.002

DO - 10.1016/j.nucengdes.2008.03.002

M3 - 文章

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SN - 0029-5493

VL - 238

SP - 2285

EP - 2291

JO - Nuclear Engineering and Design

JF - Nuclear Engineering and Design

IS - 9

ER -

Transmission probability method for solving neutron transport equation in three-dimensional triangular-z geometry

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