期刊文献+

基于非结构网格的三维中子输运方程求解方法 预览

Solution Method for 3D Neutron Transport Equation Based on Unstructured Meshes
在线阅读 下载PDF
收藏 分享 导出
摘要 本文使用离散纵标-间断有限元方法求解了三维中子输运方程,它对能量变量采用多群近似离散,对方向变量采用离散纵标法离散,对空间变量采用间断有限元离散;并研究了每个SN 离散方向的有限元网格的排序以及中子输运DFEM方程中几个矩阵的矩阵元的精确求解方法,并据此开发了基于非结构网格的三维输运计算程序TetTran1.0。基准例题校核结果表明,该程序具有很高的计算精度。 The discrete ordinates-discontinuous finite element method for 3D neutron transport equation was presented . Energy variables were dispersed by multi-group approximation ,direction variables by discrete ordinates method ,and space variables by discontinuous finite element method (DFEM ) . T he solution order of finite element meshes for each discrete direction and the solution method of several matrixes for DFEM equation were investigated .Hence ,the 3D neutron transport code TetTran1.0 based on unstructured meshes was developed .The numerical results of some benchmarks show that the code has high computational accuracy .
作者 高产 GAO Chan (1. Institute of Nuclear Physics and Chemistry, China Academy of Engineering Physics, Mianyang 621900, China ;2. Graduate School, China Academy of Engineering Physics, Beij ing 100088, China)
出处 《原子能科学技术》 CSCD 北大核心 2014年第10期1830-1835,共6页 Atomic Energy Science and Technology
基金 中国工程物理研究院核物理与化学研究所创新基金资助项目(2011QP01) 中国工程物理研究院高性能软件中心资助项目
关键词 输运方程 间断有限元 求解排序 transport equation discontinuous finite element solution order
作者简介 高产(1982-),男,安徽亳州人,助理研究员,博士研究生,从事粒子输运理论和反应堆物理研究
  • 相关文献

参考文献15

  • 1LEWIS E E, MILLER W F. Computational methods of neutron transport[M]. US: Ameri- can Nuclear Society, 1993. 被引量:1
  • 2谢仲生,邓力著..中子输运理论数值计算方法[M].西安:西北工业大学出版社,2005:486.
  • 3杜书华,等.输运问题的计算机模拟[M].长沙:湖南科学技术出版社,1989. 被引量:4
  • 4WAREING T A, MCGHEE J M, MOREL J E. ATTILA: A three-dimensional, unstructured tetrahedral mesh discrete ordinates transport code [J]. Trans AmNuclSoc, 1996, 75: 146-147. 被引量:1
  • 5WAREING T A, McGHEE J M, MOREL J E, et al. Discontinuous finite element SN methods on three-dimensional unstructured grids[J]. Nucl Sci Eng, 2001, 138(3) : 256-268. 被引量:1
  • 6WARSA J S, WAREING T A, MOREL J E. Fully consistent diffusion synthetic acceleration of linear discontinuous SN transport discretiza- tions on unstructured tetrahedral meshes[J]. Nucl Sci Eng, 2002, 141(3): 236-251. 被引量:1
  • 7ASCI project [M/OL]. http: // parasol, tamu. edu/asci/web_page. 被引量:1
  • 8阳述林..高维中子输运方程的离散格式与并行算法研究[D].中国工程物理研究院,0:
  • 9莫则尧,傅连祥,阳述林.非结构网格上求解中子输运方程的并行流水线Sn扫描算法[J].计算机学报,2004,27(5):587-595. 被引量:14
  • 10MO Zeyao, FU Lianxiang. Parallel flux sweep algorithm for neutron transport on unstructured grid[J]. The Journal of Supercomputing, 2004, 30(1): 5 17. 被引量:1

二级参考文献40

  • 1CAOLiang-Zhi,WU-Hong-Chun.Spherical harmonics method for neutron transport equation based on unstructured-meshes[J].核技术:英文版,2004,15(6):335-339. 被引量:5
  • 2吴宏春,谢仲生,祝学华,.三维平几何各向异性散射问题的节块离散纵标输运计算[J].核动力工程,1994,15(2):138-142. 被引量:2
  • 3杜书华 等.输运问题的计算机模拟[M].长沙:湖南科学技术出版社,1989.138-152. 被引量:18
  • 4Lewis E E,Miller W F.Computational methods of neutron transport[M].La Grange Park:Amermos Nuclear Societ,1993:116-156. 被引量:1
  • 5Zhang Haochun,Yi Hongliang,Tan Heping.False scattering and ray effect in spherical harmanics approximation for the radiative transfer equation[J].Chinese J Comput Phys,2006,23(2):237-242. 被引量:1
  • 6Larsen E W,Morel J E,McGhee J M.Asymptotic derivation of the multigroup P1 and simplified Pn equations with anisotropic scattering[J].Nuel Sci Eng,1996,123:328-342. 被引量:1
  • 7Lathrop K D.Spatial differencing the transport equation:positivity vs.accuracy[J].J Comput Phys,1969,4:475 -498. 被引量:1
  • 8Alcouffe R E,Larsen E W,Miller E F.Computational efficiency of numerical methods for the muhigroup,discrete-ordinates neutron transport equations:The slab geometry case[J].Nucl Sci Eng,1979,71:111-127. 被引量:1
  • 9Larsen E W.On numerical solutions of transport problems in the diffusion limit[J].Nucl Sci Eng,1983,83:90-99. 被引量:1
  • 10Lathrop K D.A comparison of angular difference schemes for one-dimensional spherical geometry Sn equations[J].Nucl Sci Eng,2000,134:239-264. 被引量:1

共引文献26

投稿分析

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部 意见反馈