Study of Numerical Computation Methods for Neutron Transport Equation Based on Unstructured-Meshes

吴宏春; 巨海涛; 卢皓亮; 刘国明; 曹良志

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Study of Numerical Computation Methods for Neutron Transport Equation Based on Unstructured-Meshes

更新时间：2025-12-08

- Study of Numerical Computation Methods for Neutron Transport Equation Based on Unstructured-Meshes
- Vol. 41, Issue 5, Pages: 562-566(2007)
- 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：
  CLC： TP301
- Online First：10 May 2007，
  
  Published：2007
- 稿件说明：
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吴宏春, 巨海涛, 卢皓亮, et al. Study of Numerical Computation Methods for Neutron Transport Equation Based on Unstructured-Meshes[J]. 2007, 41(5): 562-566.
DOI：

吴宏春, 巨海涛, 卢皓亮, et al. Study of Numerical Computation Methods for Neutron Transport Equation Based on Unstructured-Meshes[J]. 2007, 41(5): 562-566. DOI：

摘要

针对非结构网格下中子输运方程的求解方法问题

分别研究了球谐函数(P

)有限元方法、离散纵标(S

)有限元方法、三角形穿透概率方法和三角形节块S

方法的计算模型.结果表明:有限元方法具有比较高的计算精度; P

方法避免了S

方法中的“射线效应”现象

而S

有限元方法则具有容易处理真空边界条件的优点; 三角形穿透概率方法的计算时间最快; 三角形节块S

方法则可以保证在计算较快的情况下同时具有较高的计算精度.根据上述4种方法分别研制了相应的计算程序

利用基准题进行了验证并分析了各自的优缺点

计算结果表明每种方法均能得到满意的计算精度.

Abstract

For the numerical solutions of the neutron transport equation based on unstructured-meshes

four types of new methods were developed including the spherical harmonics(P

)finite element method

the discrete ordinates(S

)finite element method

the triangle transmission probability method

and the triangle nodal method. The precision of the finite element methods is the highest. The P

method avoids the ray effect in the S

method. The S

method can treat void boundary condition easily. The CPU time of the transmission probability method based on triangle meshes is the least. The nodal S

method has less CPU time and better precision. The numerical computation was

conducted with the present four new methods for some benchmark problems. The results show that the precision of the four new methods is high.

关键词

Keywords

references

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