AN ALTERNATIVE SOLVER FOR THE NODAL EXPANSION METHOD EQUATIONS

机译：结点展开法方程的交替解法

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An automated procedure for nuclear reactor core design is accomplished by using a quick and accurate 3D nodal code, aiming at solving the diffusion equation, which describes the spatial neutron distribution in the reactor. This paper deals with an alternative solver for nodal expansion method (NEM), with only two inner iterations (mesh sweeps) per outer iteration, thus having the potential to reduce the time required to calculate the power distribution in nuclear reactors, but with accuracy similar to the ones found in conventional NEM. The proposed solver was implemented into a computational system which, besides solving the diffusion equation, also solves the burnup equations governing the gradual changes in material compositions of the core due to fuel depletion. Results confirm the effectiveness of the method for practical purposes.

机译：核反应堆堆芯设计的自动化程序是通过使用快速准确的3D节点代码完成的，旨在求解扩散方程，该方程描述了反应堆中的空间中子分布。本文讨论了节点扩展方法（NEM）的替代求解器，每个外部迭代仅进行两次内部迭代（网格扫描），因此有可能减少计算核反应堆功率分布所需的时间，但精度相似到传统NEM中发现的那些。所提出的求解器被实现为一个计算系统，该系统除了求解扩散方程之外，还求解了燃耗方程，该燃耗方程控制着由于燃料消耗而导致的堆芯材料成分的逐渐变化。结果证实了该方法对于实际目的的有效性。

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《International conference on the physics of reactors;PHYSOR 2010》|2011年|p.1282-1291|共10页
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Fernando Carvalho da Silva; Antonio Carlos Marques Alvim; Aquilino Senra Martinez;
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中图分类反应堆基础理论;
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Nodal expansion method; inner iterations; power density; mesh sweep;

机译：节点扩张法;内部迭代;功率密度网格扫;

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专利

1. Analytic function expansion nodal (AFEN) method for solving multigroup neutron simplified P-3 (SP3) equations in hexagonal-z geometry [J] . Bahabadi Mohammad Hasan Jalili, Pazirandeh Ali, Athari Mitra Annals of nuclear energy . 2016,第deca期

机译：六边形z几何中的多组中子简化P-3（SP3）方程的解析函数扩展节点（AFEN）方法
2. New analytic function expansion nodal (AFEN) method for solving multigroup neutron simplified P_3 (SP_3) equations [J] . Mohammad Hasan Jalili Bahabadi, Ali Pazirandeh, Mitra Athari Annals of nuclear energy . 2015,第mara期

机译：求解多组中子简化P_3（SP_3）方程的新解析函数扩展节点（AFEN）方法
3. Flux expansion nodal method for solving multigroup neutron diffusion equations in hexagonal-z geometry [J] . Bangyang Xia, Zhongsheng Xie Annals of nuclear energy . 2006,第4期

机译：六边形z几何中求解多组中子扩散方程的通量膨胀节点法
4. AN ALTERNATIVE SOLVER FOR THE NODAL EXPANSION METHOD EQUATIONS [C] . Fernando Carvalho da Silva, Antonio Carlos Marques Alvim, Aquilino Senra Martinez International conference on the physics of reactors . 2010

机译：用于节点膨胀方法方程的替代求解器
5. Nodal integral methods for the numerical solution of the shallow-water equations. [D] . Mays, Brian Edward. 2003

机译：浅水方程数值解的节点积分法。
6. New extended (G’/G)-expansion method to solve nonlinear evolution equation: the (3 + 1)-dimensional potential-YTSF equation [O] . Harun-Or- Roshid, M Ali Akbar, Md Nur Alam, -1

机译：解决非线性发展方程的新的扩展（G’/ G）展开方法：（3 + 1）维势-YTSF方程
7. A modular nodal method for solving the neutron transport equation using spherical harmonics in two dimensions [O] . Inanc, Feyzi 1989

机译：二维球谐函数求解中子输运方程的模块化节点方法
8. NESTLE: Few-group neutron diffusion equation solver utilizing the nodal expansion method for eigenvalue, adjoint, fixed-source steady-state and transient problems [R] . Turinsky, P. J. , Al-Chalabi, R. M. K. , Engrand, P. , 1994

机译：NEsTLE：利用节点展开法得到特征值，伴随，固定源稳态和瞬态问题的少群中子扩散方程求解器

AN ALTERNATIVE SOLVER FOR THE NODAL EXPANSION METHOD EQUATIONS

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