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A spectral nodal method for the solution of the Sn equations in x,y geometry for highly absorbing deep penetration problems; Metodo espectro-nodal para solucao das equacoes Sn em geometria x,y para problemas de penetracao profunda em meios altamente absorventes

Technical Report:

Abstract

Presented here is an attempt to improve the accuracy of transport nodal methods applied to deep penetration transport problems in x, y-geometry. The resulting nodal method uses the Spectral Green`s Function (SGF) scheme for solving the one-dimensional transverse-integrated S{sub N} exponential nodal equations with no spatial truncation error. Based on the physics of deep penetration problems, we approximate the transverse leakage terms by approximate exponential shape functions. We show in numerical calculation that the SGF-Exponential Nodal (SGF-Exp N) method is much more accurate than other transport nodal methods for coarse-mesh deep penetration problems, specially in highly absorbing media. (author).
Authors:
Publication Date:
Sep 01, 1991
Product Type:
Technical Report
Report Number:
IEN-24/91
Reference Number:
SCA: 663610; PA: AIX-24:009114; SN: 93000933521
Resource Relation:
Other Information: PBD: Sep 1991
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; NODAL EXPANSION METHOD; PENETRATION DEPTH; COMPUTERIZED SIMULATION; DISCRETE ORDINATE METHOD; GREEN FUNCTION; NEUTRON TRANSPORT THEORY; 663610; NEUTRON PHYSICS
OSTI ID:
10119770
Research Organizations:
Instituto de Engenharia Nuclear (IEN), Rio de Janeiro, RJ (Brazil)
Country of Origin:
Brazil
Language:
Portuguese
Other Identifying Numbers:
Other: ON: DE93613520; TRN: BR9230402009114
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[27] p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Barros, R.C. de. A spectral nodal method for the solution of the Sn equations in x,y geometry for highly absorbing deep penetration problems; Metodo espectro-nodal para solucao das equacoes Sn em geometria x,y para problemas de penetracao profunda em meios altamente absorventes. Brazil: N. p., 1991. Web.
Barros, R.C. de. A spectral nodal method for the solution of the Sn equations in x,y geometry for highly absorbing deep penetration problems; Metodo espectro-nodal para solucao das equacoes Sn em geometria x,y para problemas de penetracao profunda em meios altamente absorventes. Brazil.
Barros, R.C. de. 1991. "A spectral nodal method for the solution of the Sn equations in x,y geometry for highly absorbing deep penetration problems; Metodo espectro-nodal para solucao das equacoes Sn em geometria x,y para problemas de penetracao profunda em meios altamente absorventes." Brazil.
@misc{etde_10119770,
title = {A spectral nodal method for the solution of the Sn equations in x,y geometry for highly absorbing deep penetration problems; Metodo espectro-nodal para solucao das equacoes Sn em geometria x,y para problemas de penetracao profunda em meios altamente absorventes}
author = {Barros, R.C. de}
abstractNote = {Presented here is an attempt to improve the accuracy of transport nodal methods applied to deep penetration transport problems in x, y-geometry. The resulting nodal method uses the Spectral Green`s Function (SGF) scheme for solving the one-dimensional transverse-integrated S{sub N} exponential nodal equations with no spatial truncation error. Based on the physics of deep penetration problems, we approximate the transverse leakage terms by approximate exponential shape functions. We show in numerical calculation that the SGF-Exponential Nodal (SGF-Exp N) method is much more accurate than other transport nodal methods for coarse-mesh deep penetration problems, specially in highly absorbing media. (author).}
place = {Brazil}
year = {1991}
month = {Sep}
}