二维中子输运方程的非结构网格离散纵标数值解法

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基金项目:

国家自然科学基金(10475064)核反应堆系统设计技术国家级重点实验室基金资助

Discrete Ordinates Method for Two-Dimensional Neutron Transport Equation Based on Unstructured-Meshes

1. School of Energy and Power Engineering, Xi'an Jiaotong University, 710049, China;
2. National Key Laboratory of Reactor System Design Technology, Nuclear Power Institute of China, Chengdu, 610041, China

摘要: 从一阶中子输运方程出发,对方向变量采用离散纵标法展开,得到一系列关于空间变量的偏微分方程,对这些方程采用最小二乘有限元方法进行离散。编制了二维中子输运方程的非结构网格离散纵标计算程序。对一系列基准问题做了验算,计算结果表明,该方法能用于非结构网格,并具有较高的计算精度。
- 离散纵标数值解法 /
- 最小二乘法 /
- 有限元方法 /
- 非结构网格
Abstract: A discrete ordinates method for two-dimensional neutron transport equation based on un-benchmark problems demonstrate that this method can be used in unstructured-meshes and can give high pre-cision result.structured-meshes is derived from the first order neutron transport equation.A set of differential equations about the spatial variables can be obtained.They are solved iteratively by using the least-squares finite ele-ment method.A two-dimensional transport calculation code is encoded.The numerical results of some
- Discrete ordinates method /
- Lease-squares /
- Finite element method /
- Unstructured-meshes