Flux Expansion Nodal Method for Solving Multigroup Neutron Diffusion Equations in Hexagonal2- Geometry

doi:10.7652/xjtuxb200601020

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Flux Expansion Nodal Method for Solving Multigroup Neutron
Diffusion Equations in Hexagonal2- Geometry

更新时间：2025-07-09

- Flux Expansion Nodal Method for Solving Multigroup Neutron
  Diffusion Equations in Hexagonal2- Geometry
- Vol. 40, Issue 1, Pages: 84-0087(2006)
- 作者机构：
  
  西安交通大学能源与动力工程学院,西安,710049
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb200601020
  CLC： TL32912
- Online First：10 January 2006，
  
  Published：2006
- 稿件说明：
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Flux Expansion Nodal Method for Solving Multigroup Neutron
Diffusion Equations in Hexagonal2- Geometry
[J]. 2006, 40(1): 84-0087. DOI: 10.7652/xjtuxb200601020.
DOI：

Flux Expansion Nodal Method for Solving Multigroup Neutron
Diffusion Equations in Hexagonal2- Geometry
[J]. 2006, 40(1): 84-0087. DOI: 10.7652/xjtuxb200601020. DOI：

摘要

提出了一种在三维六角形几何节块内数值求解多群中子扩散方程的节块法

该方法把节块 内各群中子通量分布用解析基函数近似展开. 为了改善节块耦合关系

采用了一种新的节块边界条 件:面平均偏流0 次矩和1 次矩同时保持连续. 将响应矩阵技术应用于迭代求解过程

使得该方法 具有较高的计算效率. 通过对基准问题的校验计算表明

该方法能准确地给出有效增值系数以及节 块功率;对于二维多群问题

所有基准题的组件最大功率偏差均小于1 %.

Abstract

A new flux expansion nodal met hod was developed to solve t hree2dimensional multigroup neut ron diff usion equations in hexagonal2- geomet ry. The met hod expands t he int ranodal homogeneous flux dist ributions in analytic basis f unctions for each energy group . In order to improve t he nodal coupling relations

a new type of nodal boundary condition was proposed

which simultaneously requires t he continuity of bot h t he -ero2 and fir st2order moment s of partial current across t he nodal surfaces. The response mat rix technique was used for t he iterative solution of t he nodal diff usion equations

which greatly improves t he comp utational efficiency of this met hod. The numerical result s of several benchmark problems show t hat t he multiplication factor and nodal power s can be predicted accurately. Moreover

t he maximum error of the nodal powers is less than 1 % for all t he two2dimensional benchmarks.

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references

Noh J M , Cho N Z. A new approach of analytic basis function expansion to neut ron diffusion nodal calculation [J ] . Nucl Sci Eng , 1994 , 116 (3) : 165O180.

Cho N Z , Noh J M. Analytic function expansion nodal method for hexagonal geomet ry [ J ] . Nucl Sci Eng ,1995 ,121 (2) : 245O253.

Cho N Z , Kim Y H. Extension of analytic function expansion nodal method to multi2group problems in hexagonal2z geomet ry [J ] . Nucl Sci Eng , 1997 , 126 (3) :

35O47.

Wanger M R. Three2dimensional nodal diffusion and t ransport theory methods for hexagonal2z geomet ry [J ] . Nucl Sci Eng , 1989 , 103 (4) : 377O391.

Chao Y A , Shatill Y A. Conformal mapping and hexagonal nodal methods2II : implementation in the ANC2H code [J ] . Nucl Sci Eng , 1995 , 121 (2) : 210O225.

Makai M. Symmet ric applied to reactor calculations [J ] . Nucl Sci Eng , 1982 , 82 (3) : 338O353.

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