六角形节块中子输运计算程序快速求解策略初步研究
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国家自然科学基金(No.11805122、No.11922505)资助 第一作者：夏文勇，男，1995 年出生，2017 年毕业于南华大学，现为硕士研究生，主要从事反应堆物理计算 通信作者：张滕飞，E-mail：zhangtengfei@ 收稿日期：2019-10-09，修回日期：2019-12-04 Supported by National Natural Science Foundation of China (No.11805122, No.11922505) First author: XIA Wenyong, male, born in 1995, graduated from University of South China in 2017, master student, focusing on study of reactor physical numerical calculation Corresponding author: ZHANG Tengfei, E-mail: zhangtengfei@ Received date: 2019-10-09, revised date: 2019-12-04
Preliminary study on the fast solution strategy of hexagonal nodal neutron transport calculation program
XIA Wenyong ZHANG Tengfei LIU Xiaojing XIONG Jinbiao CHAI Xiang
(School of Nuclear Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, China)
Abstract [Background] Computational time and calculation accuracy are key features of the application of neutron transfer method. [Purpose] This paper aims to reduce the computational time on the premise of ensuring the accuracy of calculation. [Methods] Based on a neutron transport calculation program for hexagonal nodal, a fast solution method was proposed to solve the 1/6 core is solved with 60° periodic symmetric boundary conditions, and calculated in parallel. The natural decoupling between the response matrices corresponding to different energy groups and nodes, and the parallelism between non-overlapping spatial regions was taken into account to solve the response matrix equation. Based on message passing interface (MPI), parallel program of the response matrix construction was developed to solve the matrix equation. Calibration calculation for the TAKEDA4 benchmark was carried out by parallel computing. [Results] The computational results show that the 60° periodic symmetric boundary condition and the parallel computing function can greatly improve the computational efficiency while ensuring the same calculation accuracy, and verify the correctness of the fast solution strategy. Compared with the full core serial
第 43 卷 第 2 期 2020 年 2 月
核技术 NUCLEAR TECHNIQUES
Vol.43，No.2 February 2020
六角形节பைடு நூலகம்中子输运计算程序快速求解策 略初步研究
夏文勇 张滕飞 刘晓晶 熊进标 柴 翔
（上海交通大学 核科学与工程学院 上海 200240）
摘要 计算时间与计算精度是衡量中子输运方法应用的重要指标，针对如何在保证计算精度的前提下减少计 算时间开销问题，本研究提出一种基于六角形节块中子输运计算程序的快速求解方法。采用 60°周期性对称边 界条件求解 1/6 堆芯，并对 1/6 堆芯进行并行计算。考虑到不同能群和节块所对应的响应矩阵间存在天然的脱 耦性，以及响应矩阵方程求解时非重叠空间区域间可并行性，开发了基于 MP（I Message Passing Interface）的响 应矩阵构造及矩阵方程求解的并行程序。在并行情况下，针对 TAKEDA4 基准题开展了校核计算。结果表明： 60°周期性对称边界条件和并行计算功能，能够在保证相同计算精度的前提下大大提升计算效率，验证了快速求 解策略的正确性。相比于全堆芯串行计算，在 9 个计算核心数目下，1/6 堆芯总计算时间开销在 P1、P3、P5下分别 可约降低了 1/26、1/25、1/22，初步实现六角形节块的快速求解。 关键词 变分节块法，60°周期性对称边界条件，MPI 并行 中图分类号 TL325 DOI: 10.11889/j.0253-3219.2020.hjs.43.020603
Preliminary study on the fast solution strategy of hexagonal nodal neutron transport calculation program
XIA Wenyong ZHANG Tengfei LIU Xiaojing XIONG Jinbiao CHAI Xiang
(School of Nuclear Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, China)
Abstract [Background] Computational time and calculation accuracy are key features of the application of neutron transfer method. [Purpose] This paper aims to reduce the computational time on the premise of ensuring the accuracy of calculation. [Methods] Based on a neutron transport calculation program for hexagonal nodal, a fast solution method was proposed to solve the 1/6 core is solved with 60° periodic symmetric boundary conditions, and calculated in parallel. The natural decoupling between the response matrices corresponding to different energy groups and nodes, and the parallelism between non-overlapping spatial regions was taken into account to solve the response matrix equation. Based on message passing interface (MPI), parallel program of the response matrix construction was developed to solve the matrix equation. Calibration calculation for the TAKEDA4 benchmark was carried out by parallel computing. [Results] The computational results show that the 60° periodic symmetric boundary condition and the parallel computing function can greatly improve the computational efficiency while ensuring the same calculation accuracy, and verify the correctness of the fast solution strategy. Compared with the full core serial
第 43 卷 第 2 期 2020 年 2 月
核技术 NUCLEAR TECHNIQUES
Vol.43，No.2 February 2020
六角形节பைடு நூலகம்中子输运计算程序快速求解策 略初步研究
夏文勇 张滕飞 刘晓晶 熊进标 柴 翔
（上海交通大学 核科学与工程学院 上海 200240）
摘要 计算时间与计算精度是衡量中子输运方法应用的重要指标，针对如何在保证计算精度的前提下减少计 算时间开销问题，本研究提出一种基于六角形节块中子输运计算程序的快速求解方法。采用 60°周期性对称边 界条件求解 1/6 堆芯，并对 1/6 堆芯进行并行计算。考虑到不同能群和节块所对应的响应矩阵间存在天然的脱 耦性，以及响应矩阵方程求解时非重叠空间区域间可并行性，开发了基于 MP（I Message Passing Interface）的响 应矩阵构造及矩阵方程求解的并行程序。在并行情况下，针对 TAKEDA4 基准题开展了校核计算。结果表明： 60°周期性对称边界条件和并行计算功能，能够在保证相同计算精度的前提下大大提升计算效率，验证了快速求 解策略的正确性。相比于全堆芯串行计算，在 9 个计算核心数目下，1/6 堆芯总计算时间开销在 P1、P3、P5下分别 可约降低了 1/26、1/25、1/22，初步实现六角形节块的快速求解。 关键词 变分节块法，60°周期性对称边界条件，MPI 并行 中图分类号 TL325 DOI: 10.11889/j.0253-3219.2020.hjs.43.020603