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Title: Application of the discrete generalized multigroup method to ultra-fine energy mesh in infinite medium calculations

Abstract

The Discrete Generalized Multigroup (DGM) method uses discrete Legendre orthogonal polynomials to expand the energy dependence of the multigroup neutron transport equation. This allows a solution on a fine energy mesh to be approximated for a cost comparable to a solution on a coarse energy mesh. The DGM method is applied to an ultra-fine energy mesh (14,767 groups) to avoid using self-shielding methodologies without introducing the cost usually associated with such energy discretization. Results show DGM to converge to the reference ultra-fine solution after a small number of recondensation steps for multiple infinite medium compositions. (authors)

Authors:
;  [1]
  1. Dept. of Nuclear Science and Engineering, Massachusetts Inst. of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139-4307 (United States)
Publication Date:
Research Org.:
American Nuclear Society, Inc., 555 N. Kensington Avenue, La Grange Park, Illinois 60526 (United States)
OSTI Identifier:
22105607
Resource Type:
Conference
Resource Relation:
Conference: PHYSOR 2012: Conference on Advances in Reactor Physics - Linking Research, Industry, and Education, Knoxville, TN (United States), 15-20 Apr 2012; Other Information: Country of input: France; 11 refs.
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; 22 GENERAL STUDIES OF NUCLEAR REACTORS; ENERGY DEPENDENCE; MATHEMATICAL SOLUTIONS; MESH GENERATION; NEUTRON TRANSPORT THEORY; POLYNOMIALS; SELF-SHIELDING

Citation Formats

Gibson, N. A., and Forget, B. Application of the discrete generalized multigroup method to ultra-fine energy mesh in infinite medium calculations. United States: N. p., 2012. Web.
Gibson, N. A., & Forget, B. Application of the discrete generalized multigroup method to ultra-fine energy mesh in infinite medium calculations. United States.
Gibson, N. A., and Forget, B. Sun . "Application of the discrete generalized multigroup method to ultra-fine energy mesh in infinite medium calculations". United States.
@article{osti_22105607,
title = {Application of the discrete generalized multigroup method to ultra-fine energy mesh in infinite medium calculations},
author = {Gibson, N. A. and Forget, B.},
abstractNote = {The Discrete Generalized Multigroup (DGM) method uses discrete Legendre orthogonal polynomials to expand the energy dependence of the multigroup neutron transport equation. This allows a solution on a fine energy mesh to be approximated for a cost comparable to a solution on a coarse energy mesh. The DGM method is applied to an ultra-fine energy mesh (14,767 groups) to avoid using self-shielding methodologies without introducing the cost usually associated with such energy discretization. Results show DGM to converge to the reference ultra-fine solution after a small number of recondensation steps for multiple infinite medium compositions. (authors)},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2012},
month = {7}
}

Conference:
Other availability
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