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

Authors: Welton A. Menezes; Hermes Alves Filho; Ricardo C. Barros

Addresses: Programa de Pós-Graduação em Modelagem Computacional, Instituto Politécnico - IPRJ, Universidade do Estado do Rio de Janeiro - UERJ, P.O. Box 97282 28610-974 Nova Friburgo, RJ, Brazil ' Programa de Pós-Graduação em Modelagem Computacional, Instituto Politécnico - IPRJ, Universidade do Estado do Rio de Janeiro - UERJ, P.O. Box 97282 28610-974 Nova Friburgo, RJ, Brazil ' Programa de Pós-Graduação em Modelagem Computacional, Instituto Politécnico - IPRJ, Universidade do Estado do Rio de Janeiro - UERJ, P.O. Box 97282 28610-974 Nova Friburgo, RJ, Brazil

Abstract: 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.

Keywords: discrete ordinates; multi-group model; fixed source; spectral nodal method.

DOI: 10.1504/IJNEST.2018.092599

International Journal of Nuclear Energy Science and Technology, 2018 Vol.12 No.1, pp.66 - 80

Received: 26 May 2017
Accepted: 26 Jan 2018

Published online: 15 Jun 2018 *

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