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).
Barros, R.C. de;
[1]
Larsen, E W
[2]
- Instituto de Engenharia Nuclear (IEN), Rio de Janeiro, RJ (Brazil)
- Michigan Univ., Ann Arbor, MI (United States).Dept. of Nuclear Engineering
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}
}
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}
}