1/4栅元尺度两级粗网有限差分加速方法  

1/4 cell-based two-level coarse-mesh finite difference acceleration method

作　　者：周晓宇 王浩[1] 李佩军 郝琛 ZHOU Xiaoyu;WANG Hao;LI Peijun;HAO Chen(Fundamental Science on Nuclear Safety and Simulation Technology Laboratory,Harbin Engineering University,Harbin 150001,China;China Nuclear Power Engineering Co.,Ltd.,Beijing 100840,China)

机构地区：[1]哈尔滨工程大学核安全与仿真技术重点学科实验室,黑龙江哈尔滨150001 [2]中国核电工程有限公司,北京100840

出　　处：《哈尔滨工程大学学报》2022年第12期1683-1690,共8页Journal of Harbin Engineering University

基　　金：中国博士后科学基金项目(2021M703045).

摘　　要：为了进一步降低采用栅元尺度的粗网有限差分方法加速高保真中子输运计算的外迭代步以获得更大的加速收益,本文依据傅里叶分析结果提出并实施了一种1/4栅元尺度的两级栅元尺度的粗网有限差分加速方法,同时实现了基于构造实体几何的以1/4栅元为单位的几何构建方法。本文采用C5G7 RA和VERA Problem#4三维基准题验证方法的正确性和加速效果,并基于秦山一期压水堆1/4模型进行不同工况下的实堆高保真稳态临界计算。结果表明:在保证精度的前提下,本文提出的基于1/4栅元的两级栅元尺度的粗网有限差分加速方法能够针对真实的1/4几何模型将外迭代次数进一步降低1/3左右。秦山一期压水堆临界硼浓度最大误差为-21×10^(-6),1/4模型高保真中子物理计算时间为88.3核时。从降低迭代次数和减少计算规模2方面有效降低高保真输运计算的计算负担。To further reduce the number of iterations of high-fidelity neutron transport calculations using the cell-based coarse-mesh finite difference(CMFD)method to obtain great acceleration benefits,this paper proposes and implements a 1/4 cell-based two-level CMFD acceleration method based on Fourier analysis and implements the geometric modeling method based on constructive solid geometry with 1/4 cells.C5G7 RA and VERA benchmark#43D problems were used to verify the correctness and acceleration effect of the method,and high-fidelity steady-state critical calculations were performed under different operating conditions based on the 1/4 cell-based model of Qinshan Phase I PWR.The results show that the application of the 1/4 cell-based two-level CMFD acceleration method can further reduce the number of outer iterations by about 1/3 with guaranteed accuracy.The maximum error of the critical boron concentration of Qinshan Phase I PWR is-21×10^(-6),and the high-fidelity neutron physics calculation time is 88.3 core hours for the 1/4 cell-based model.The method effectively reduces the computational burden of high-fidelity transport calculation in terms of reducing the iteration number and computational scale.

关 键 词：中子输运计算 粗网有限差分 两级加速 1/4栅元 傅里叶分析 构造实体几何 实堆验证 高保真 

分 类 号：TL329[核科学技术—核技术及应用]