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
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
  • [31] Two-dimensional transient radiative heat transfer using discrete ordinates method
    Guo, ZX
    Kumar, S
    CHT'01: ADVANCES IN COMPUTATIONAL HEAT TRANSFER II, VOLS 1 AND 2, PROCEEDINGS, 2001, : 1073 - 1080
  • [32] An analytical approach for a nodal scheme of two-dimensional neutron transport problems
    Barichello, L. B.
    Cabrera, L. C.
    Prolo Filho, J. F.
    ANNALS OF NUCLEAR ENERGY, 2011, 38 (06) : 1310 - 1317
  • [33] TIME-DEPENDENT TWO-DIMENSIONAL DISCRETE ORDINATES CALCULATIONS USING GENERALIZED EIGENVECTOR EXPANSIONS
    FILIPPONE, WL
    CONVERSANO, R
    TRANSACTIONS OF THE AMERICAN NUCLEAR SOCIETY, 1983, 44 : 276 - 280
  • [34] The Analytical Discrete Ordinates Method for a One-Dimensional Model of Neutral Particle Transport in Ducts
    Garcia, R. D. M.
    NUCLEAR SCIENCE AND ENGINEERING, 2014, 177 (01) : 35 - 51
  • [35] On an improved Direct Discrete Method and its application in two dimensional multi-group neutron diffusion equation
    Ayyoubzadeh, Seyed Mohsen
    Vosoughi, Naser
    Ayyoubzadeh, Seyed Mohammad
    ANNALS OF NUCLEAR ENERGY, 2012, 44 : 1 - 7
  • [36] A METHOD FOR COMPUTING THE DISCRETE SPECTRUM BASIC TO MULTI-GROUP TRANSPORT-THEORY
    SIEWERT, CE
    THOMAS, JR
    JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 1987, 37 (02): : 111 - 115
  • [37] A hybrid Analytical Discrete Ordinates-Response Matrix Constant Nodal method for one-speed X, Y-geometry transport problems
    Moraes, Leonardo R. C.
    Patel, Japan K.
    Barros, Ricardo C.
    Vasques, Richard
    PROGRESS IN NUCLEAR ENERGY, 2024, 168
  • [38] Analytical reconstruction scheme for the coarse-mesh solution generated by the spectral nodal method for neutral particle discrete ordinates transport model in slab geometry
    Barros, Ricardo C.
    Alves Filho, Hermes
    Platt, Gustavo M.
    Oliveira, Francisco Bruno S.
    Militao, Damiano S.
    ANNALS OF NUCLEAR ENERGY, 2010, 37 (11) : 1461 - 1466
  • [39] General Expressions for Auxiliary Equations of a Nodal Formulation for Two-Dimensional Transport Calculations
    Prolo Filho, J. F.
    Barichello, L. B.
    JOURNAL OF COMPUTATIONAL AND THEORETICAL TRANSPORT, 2014, 43 (1-7) : 352 - 373
  • [40] Two-dimensional HID light source radiative transfer using discrete ordinates method
    Ghrib, Basma
    Bouaoun, Mohamed
    Elloumi, Hatem
    PHYSICS OF PLASMAS, 2016, 23 (08)