A response matrix spectral nodal method for energy multigroup X,Y-geometry discrete ordinates problems in non-multiplying media

A response matrix spectral nodal method for energy multigroup X,Y-geometry discrete ordinates problems in non-multiplying media

A new spectral nodal method is proposed for coarse-mesh numerical solution of energy multigroup X,Y-geometry discrete ordinates (SN) transport problems in non-multiplying media. This method uses the Response Matrix (RM) technique to solve analytically the multigroup one-dimensional transverse-integr...

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Bibliographic Details
Published in:Progress in nuclear energy (New series) Vol. 125; p. 103288
Main Authors: da Silva, Odair Pinheiro, Guida, Mateus R., Filho, Hermes Alves, Barros, Ricardo C.
Format: Journal Article
Language:English
Published: Oxford Elsevier Ltd 01-07-2020
Elsevier BV
Subjects:
Algorithms
Coarse-mesh calculations
Discrete element method
Discrete Ordinates
Fluxes
Green's functions
Leakage
Matrix
Matrix methods
Non-multiplying medium
Numerical analysis
Response matrix
Spectra
Spectral nodal method
Non-multiplying medium
Spectral nodal method
Discrete Ordinates
Response matrix
Coarse-mesh calculations
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Summary:A new spectral nodal method is proposed for coarse-mesh numerical solution of energy multigroup X,Y-geometry discrete ordinates (SN) transport problems in non-multiplying media. This method uses the Response Matrix (RM) technique to solve analytically the multigroup one-dimensional transverse-integrated SN nodal equations with approximations only for the node-edge angular fluxes in the transverse leakage terms. We approximate these leakage terms by constants, hence we refer to the present spectral nodal method as the RM-Constant Nodal (RM-CN) method. We show in numerical calculations that the offered RM-CN method generates as accurate solutions as the companion spectral Green's function-constant nodal (SGF-CN) method, whose mathematical preliminaries are essentially the same, except that the multigroup RM-CN algorithm is both algebraically and computationally simpler than the SGF-CN method. •Neutral particle discrete ordinates transport calculations in non–multiplying media.•Energy multigroup coarse–mesh response matrix spectral nodal method.•Sn energy multigroup fixed source problems in two–dimensional rectangular geometry.
ISSN:0149-1970
1878-4224
DOI:10.1016/j.pnucene.2020.103288