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A spectral nodal method for discrete ordinates problems in x,y geometry; Metodo espectro-nodal para problemas de ordenadas discretas em geometria x,y

Technical Report:

Abstract

A new nodal method is proposed for the solution of S{sub N} problems in x- y-geometry. This method uses the Spectral Green`s Function (SGF) scheme for solving the one-dimensional transverse-integrated nodal transport equations with no spatial truncation error. Thus, the only approximations in the x, y-geometry nodal method occur in the transverse leakage terms, as in diffusion theory. We approximate these leakage terms using a flat or constant approximation, and we refer to the resulting method as the SGF-Constant Nodal (SGF-CN) method. We show in numerical calculations that the SGF-CN method is much more accurate than other well-known transport nodal methods for coarse-mesh deep-penetration S{sub N} problems, even though the transverse leakage terms are approximated rather simply. (author).
Authors:
Barros, R.C. de; [1]  Larsen, E W [2] 
  1. Instituto de Engenharia Nuclear (IEN), Rio de Janeiro, RJ (Brazil)
  2. Michigan Univ., Ann Arbor, MI (United States).Dept. of Nuclear Engineering
Publication Date:
Jun 01, 1991
Product Type:
Technical Report
Report Number:
IEN-23/91
Reference Number:
SCA: 663610; PA: AIX-24:003921; SN: 93000913993
Resource Relation:
Other Information: PBD: Jun 1991
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; NODAL EXPANSION METHOD; NEUTRON TRANSPORT THEORY; COMPUTERIZED SIMULATION; DISCRETE ORDINATE METHOD; GREEN FUNCTION; 663610; NEUTRON PHYSICS
OSTI ID:
10109213
Research Organizations:
Instituto de Engenharia Nuclear (IEN), Rio de Janeiro, RJ (Brazil)
Country of Origin:
Brazil
Language:
Portuguese
Other Identifying Numbers:
Other: ON: DE93610128; TRN: BR9230401003921
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[22] p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Barros, R.C. de, and Larsen, E W. A spectral nodal method for discrete ordinates problems in x,y geometry; Metodo espectro-nodal para problemas de ordenadas discretas em geometria x,y. Brazil: N. p., 1991. Web.
Barros, R.C. de, & Larsen, E W. A spectral nodal method for discrete ordinates problems in x,y geometry; Metodo espectro-nodal para problemas de ordenadas discretas em geometria x,y. Brazil.
Barros, R.C. de, and Larsen, E W. 1991. "A spectral nodal method for discrete ordinates problems in x,y geometry; Metodo espectro-nodal para problemas de ordenadas discretas em geometria x,y." Brazil.
@misc{etde_10109213,
title = {A spectral nodal method for discrete ordinates problems in x,y geometry; Metodo espectro-nodal para problemas de ordenadas discretas em geometria x,y}
author = {Barros, R.C. de, and Larsen, E W}
abstractNote = {A new nodal method is proposed for the solution of S{sub N} problems in x- y-geometry. This method uses the Spectral Green`s Function (SGF) scheme for solving the one-dimensional transverse-integrated nodal transport equations with no spatial truncation error. Thus, the only approximations in the x, y-geometry nodal method occur in the transverse leakage terms, as in diffusion theory. We approximate these leakage terms using a flat or constant approximation, and we refer to the resulting method as the SGF-Constant Nodal (SGF-CN) method. We show in numerical calculations that the SGF-CN method is much more accurate than other well-known transport nodal methods for coarse-mesh deep-penetration S{sub N} problems, even though the transverse leakage terms are approximated rather simply. (author).}
place = {Brazil}
year = {1991}
month = {Jun}
}