An analytical nodal method for energy multi-group discrete ordinates transport calculations in two-dimensional rectangular geometry

被引：0
|
作者：
Menezes W.A. [1 ]
Filho H.A. [1 ]
Barros R.C. [1 ]
机构：
[1] Programa de Pós-Graduação em Modelagem Computacional, Instituto Politécnico - IPRJ, Universidade Do Estado Do Rio de Janeiro - UERJ, P.O. Box 97282, Nova Friburgo, RJ
来源：
International Journal of Nuclear Energy Science and Technology | 2018年 / 12卷 / 01期
关键词：
Discrete ordinates; Fixed source; Multi-group model; Spectral nodal method;
D O I：
10.1504/IJNEST.2018.092599
中图分类号：
学科分类号：
摘要：
A spectral nodal method for energy multi-group X, Y-geometry, discrete ordinates (SN) problems in non-multiplying medium is developed. This analytical coarse-mesh method is referred to as the multi-group spectral Green's function - constant nodal (SGF-CN) method. The SGF-CN method uses the multi-group SGF method for numerically solving the one-dimensional transverse-integrated SN nodal equations with constant approximations for the transverse leakage terms. As the energy-group transfer scattering source terms are treated analytically in the offered method, the only approximations occur in the group transverse leakage terms. Numerical results are given to illustrate the method's accuracy for coarse-mesh calculations. © 2018 Inderscience Enterprises Ltd.
引用
收藏
页码：66 / 80
页数：14
相关论文
共 50 条
  • [41] The modified discrete ordinates method for radiative heat transfer in two-dimensional cylindrical medium
    Zhou, Rui-Rui
    Li, Ben-Wen
    INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2019, 139 : 1018 - 1030
  • [42] Fourier analysis of two-dimensional discrete ordinates method for solving multigroup neutron transport k-eigenvalue problems
    Kong, Boran
    Xu, Longfei
    Li, Baiwen
    PROGRESS IN NUCLEAR ENERGY, 2024, 175
  • [43] Spectral nodal method for one-group x,y,z-Cartesian geometry discrete ordinates problems
    Anli, F
    Gungor, S
    ANNALS OF NUCLEAR ENERGY, 1996, 23 (08) : 669 - 680
  • [44] CONVERGENCE OF TWO-DIMENSIONAL NYSTROM DISCRETE-ORDINATES IN SOLVING THE LINEAR TRANSPORT-EQUATION
    NELSON, P
    VICTORY, HD
    NUMERISCHE MATHEMATIK, 1980, 34 (04) : 353 - 370
  • [45] An improved variational nodal method for the solution of the three-dimensional steady-state multi-group neutron transport equation
    Zhang, Tengfei
    Wu, Hongchun
    Cao, Liangzhi
    Li, Yunzhao
    NUCLEAR ENGINEERING AND DESIGN, 2018, 337 : 419 - 427
  • [46] Analytic basis function expansion nodal method for multi-group neutron diffusion calculation in three-dimensional triangular prism geometry
    Wang, Kun-Peng
    Wu, Hong-Chun
    Cao, Liang-Zhi
    Wang, Chang-Hui
    Hedongli Gongcheng/Nuclear Power Engineering, 2010, 31 (SUPPL. 2): : 58 - 62
  • [47] On multi-group neutron transport in planar one dimensional geometry: A solution for a localized pulsed source
    Fernandes, J. C. L.
    Bodmann, B. E. J.
    Vilhena, M. T.
    ANNALS OF NUCLEAR ENERGY, 2017, 101 : 552 - 558
  • [48] An alternative discrete ordinates method with interpolation and source differencing for two-dimensional radiative transfer problems
    Cheong, KB
    Song, TH
    NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 1997, 32 (01) : 107 - 125
  • [49] Discrete-ordinates solution of short-pulsed laser transport in two-dimensional turbid media
    Guo, ZX
    Kumar, S
    APPLIED OPTICS, 2001, 40 (19) : 3156 - 3163
  • [50] Analytical spatial reconstruction scheme for the coarse-mesh solutions generated by the constant spectral nodal method for monoenergetic discrete ordinates transport calculations in X,Y geometry fission-chain reacting systems
    Menezes, Welton A.
    Alves Filho, Hermes
    Barros, Ricardo C.
    Moraes, Caroline S.
    Dominguez, Dany S.
    ANNALS OF NUCLEAR ENERGY, 2013, 53 : 274 - 279
12345