On the spectral Green’s function-constant nodal method for fixed-source SN problems in X,Y-geometry with arbitrary L’th-order anisotropic scattering

Welton Menezes; Gustavo Alvarez; Ricardo Barros

doi:10.15392/bjrs.v8i3A.1490

Authors

Welton Menezes Fluminense Federal University
Gustavo Alvarez Fluminense Federal University
Ricardo Barros Rio de Janeiro State University

DOI:

https://doi.org/10.15392/bjrs.v8i3A.1490

Keywords:

energy multigroup, fixed source, discrete ordinates, anisotropic scattering.

Abstract

Presented here is an extension of the spectral Green’s function-constant nodal (SGF-CN) method for the numerical solution of energy multigroup, fixed-source, discrete ordinates (S_N) problems in X, Y-geometry with arbitrary L’th-order of scattering anisotropy, provided L<N. This analytical coarse-mesh method uses the multigroup SGF method for numerically solving the one-dimensional transverse-integrated S_N nodal equations with constant approximations for the transverse leakage terms. The only approximations in the present version of the SGF-CN method occur in these transverse leakage terms, as the energy-group transfer scattering source terms are treated analytically within the offered method. Numerical results to typical model problems are given to illustrate the method’s accuracy and to analyze the efficiency of the offered SGF-CN computer code for neutral particle transport calculations.

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Author Biography

Welton Menezes, Fluminense Federal University

Welton Menezes is a professor at the Exact Sciences Department at the Fluminense Federal University (UFF, Volta Redonda-Rio de Janeiro). He obtained his Doctoral degree in computational modeling from the University of the State of Rio de Janeiro, 2012. His current lines of research are: Computational Neutronics; Direct Shielding Problems and Inverse Problems of Analytical Reconstruction.

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