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基于任意四边形网格和保角变换的中子扩散求解方法研究

Method Research on Neutron-diffusion Solution Based on Arbitrary Quadrilateral Mesh and Conformal Mapping

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为解决传统"横平竖直"的节块网格难以处理压水堆燃料组件弯曲导致的节块网格变形问题,本文根据非线性迭代中子扩散求解思路,开展了基于任意四边形网格和保角变换的中子扩散求解方法研究.采用任意四边形网格刻画燃料组件弯曲导致的节块网格变形现象,建立基于任意四边形网格的全局粗网差分有限方程;采用保角变换将任意四边形变换为矩形,建立基于保角变换的局部两节块展开方程.基于二维mini-core堆芯和华龙一号堆芯构造弯曲算例的计算结果表明:本文所提方法计算弯曲算例的堆芯有效增殖系数(keff)和功率分布结果与NECP-MCX参考解符合较好.因此,本文提出的方法能够较为准确地模拟燃料组件弯曲现象.
In order to solve the problem that the traditional"horizontal and vertical"nodal grid is difficult to deal with the deformation of nodal grid caused by the bowing of PWR fuel assembly,this paper studies the neutron diffusion solution method based on arbitrary quadrilateral mesh and conformal mapping according to the nonlinear iterative neutron diffusion solution idea.Arbitrary quadrilateral mesh is used to characterize the deformation of nodal grid caused by fuel assembly bowing,and the global coarse mesh difference finite equation based on arbitrary quadrilateral mesh is established.The arbitrary quadrilateral is transformed into rectangle by conformal mapping,and a local two-node expansion equation based on conformal mapping is established.The numerical results of bowing cases based on two-dimensional mini-core and HPR1000 core indicate that,the core effective multiplication factor(keff)and power distribution calculated by the proposed method are in good agreement with the reference NECP-MCX.Therefore,the method proposed in this paper could accurately characterize and simulate the fuel-assembly bowing.

Arbitrary quadrilateral meshConformal mappingNeutron-diffusionHPR1000

郭林、万承辉、吴宏春

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西安交通大学核科学与技术学院,西安,710049

任意四边形网格 保角变换 中子扩散 华龙一号

国家自然科学基金

12005164

2024

核动力工程
中国核动力研究设计院

核动力工程

CSTPCD北大核心
影响因子:0.3
ISSN:0258-0926
年,卷(期):2024.45(5)