基于平面通量展开的三维Pin by Pin输运SP3计算

doi:10.19596/j.cnki.1001-246x.8221

计算物理 ›› 2021, Vol. 38 ›› Issue (2): 165-170.DOI: 10.19596/j.cnki.1001-246x.8221

基于平面通量展开的三维Pin by Pin输运SP₃计算

李志勇

中广核研究院有限公司, 广东深圳 518031

收稿日期:2020-04-30 修回日期:2020-06-26 发布日期:2021-09-29
作者简介:李志勇(1981-),高级工程师,从事反应堆物理研究,E-mail:lizy@cgnpc.com.cn

A Plane Flux Expansion Solver for Three-dimensional Pin by Pin SP₃ Method

LI Zhiyong

China General Nuclear Energy Research Institute, Shenzhen, Guangdong 518031, China

Received:2020-04-30 Revised:2020-06-26 Published:2021-09-29

摘要/Abstract

摘要： 基于Pin by Pin输运SP₃计算是下一代反应堆物理计算方法中一个重要的研究方向。节块法一般采用高阶通量和中子源展开以适应较大的节块尺寸，因此对于Pin by Pin计算来说效率偏低。由于反应堆堆芯不均匀性更多发生在径向，本文提出一种径向基于二维平面通量展开结合轴向常规节块法的综合方法进行三维Pin by Pin输运SP₃计算，其三个方向的节块耦合迭代均采用基于中子净流耦合的格式。通过IAEA 2D/3D基准问题和典型输运基准问题计算，验证该计算方法对于堆芯扩散计算和输运计算的正确性和可行性。

关键词: 平面通量展开, 节块法, 简化球谐函数法

Abstract: Transport SP₃ based on pin by pin is an important anticipant in next generation reactor physics numerical methods. The nodal method for pin by pin calculation is not efficient because higher order flux and source expansion is assumed for large nodal size. Since reactor core heterogeneous happens usually in radial direction, a radial 2D plane flux fused with axial traditional nodal method is proposed for 3D pin by pin transport SP₃ calculation. A nodal iterations strategy based on nodal face current is adopted in all three directions. With IAEA 2D/3D and typical transport benchmark problem, the method is demonstrated correct and feasible for core transport and diffusion calculations.

Key words: plane flux expansion, NEM, SP₃

中图分类号:

TL329

李志勇. 基于平面通量展开的三维Pin by Pin输运SP₃计算[J]. 计算物理, 2021, 38(2): 165-170.

LI Zhiyong. A Plane Flux Expansion Solver for Three-dimensional Pin by Pin SP₃ Method[J]. Chinese Journal of Computational Physics, 2021, 38(2): 165-170.

参考文献

[1] HANG Xudeng, HONG Zhenying, LI Shuanggui, et al. Deterministic numerical methods for particle transport equations[J]. Chinese Journal of Computational Physics, 2014, 31(2):127-154.
[2] LIU Xiongguo, DENG Li, HU Zehua, et al. Simulation of VENUS-III benchmark experiment by JMCT Monte Carlo code[J]. Chinese Journal of Computational Physics, 2016, 33(5):570-580.
[3] DENG Li, SHI Dunfu, LI Gang. Key technologies of coupling for multiphysics in numerical reactor[J]. Chinese Journal of Computational Physics, 2016, 33(6):631-638.
[4] BRANTLEY P S, LARSEN E W. The simplified P3 approximation[J]. Nuclear Science and Engineering, 2000, 134:1-21.
[5] DOWNAR T, LEE D, XU Y. PARCS v2.6 U.S.NRC core neutronics simulator theory manual[R]. School of Nuclear Engineering Purdue University, 2004.
[6] PAN Qingquan, LU Haoliang, LI Dongsheng, et al. The differences between the two forms of semi-analytical nodal methods on solving the third-order simplified spherical harmonics method equations[J]. Journal of Nuclear Engineering and Radiation Science, 2018, 4(021008):1-6.
[7] LI Yunzhao, WU Hongchun, CAO Liangzhi, et al. Nodal SP₃ method for solving neutron transport equation[J]. Nuclear Power Engineering, 2010, 31(S2):73-91.
[8] LI Zhiyong. Semi-analytic nodal methods for neutron transport SP₃ equation[J]. Chinese Nuclear Science and Engineering, 2012, 32(1):8-15.
[9] ZIMIN V G, NINOKATA H, POGOSBEKYAN L R. Polynomial and semi-analytic nodal methods for nonlinear iteration procedure[C]. Proc Int Conf Phys Nucl Sci Tech (PHYSOR-98), Long Island, NY, October 5-8, 1998:994-1002.
[10] LI Zhiyong. Semi-analytic nodal methods and numerical analysis for neutron diffusion hexagonal based on conformal mapping[J]. Chinese Nuclear Science and Engineering, 2014, 34(1):16-22.
[11] MULLER E Z, WEISS Z J. Benchmarking with the multigroup diffusion high-order response matrix method[J]. Annals of Nuclear Energy, 1991, 18(9):535-544.

基于平面通量展开的三维Pin by Pin输运SP₃计算

A Plane Flux Expansion Solver for Three-dimensional Pin by Pin SP₃ Method

RichHTML

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 5

编辑推荐

Metrics

作者中心

审稿中心

期刊浏览

期刊介绍

[1]	李志勇. 基于二维广义横向积分综合一维半解析的三维中子扩散节块法[J]. 计算物理, 2022, 39(2): 153-158.
[2]	胡永明, 赵险峰. 三维圆柱几何格林函数节块法中子扩散计算[J]. 计算物理, 1997, 14(S1): 429-430.
[3]	许云林, 经荥清, 李君利. 改进准静态方法的研究[J]. 计算物理, 1997, 14(S1): 524-526.
[4]	陈超, 朱广宁, 王侃. 六角形燃料组件内精细核密度分布计算[J]. 计算物理, 1997, 14(S1): 617-618,616.
[5]	章宗耀. 轻水堆物理分析方法的现状与发展[J]. 计算物理, 1992, 9(S1): 593-596.