Analytic Coarse-Mesh Finite-Difference Method Generalized for Heterogeneous Multidimensional Two-Group Diffusion Calculations

García Herranz, Nuria and Cabellos de Francisco, Oscar Luis and Aragonés Beltrán, José María and Ahnert Iglesias, Carolina (2003). Analytic Coarse-Mesh Finite-Difference Method Generalized for Heterogeneous Multidimensional Two-Group Diffusion Calculations. "Nuclear Science And Engineering", v. 144 (n. 1); pp. 23-35. ISSN 0029-5639.

Description

Title: Analytic Coarse-Mesh Finite-Difference Method Generalized for Heterogeneous Multidimensional Two-Group Diffusion Calculations
Author/s:
  • García Herranz, Nuria
  • Cabellos de Francisco, Oscar Luis
  • Aragonés Beltrán, José María
  • Ahnert Iglesias, Carolina
Item Type: Article
Título de Revista/Publicación: Nuclear Science And Engineering
Date: May 2003
Volume: 144
Subjects:
Faculty: E.T.S.I. Industriales (UPM)
Department: Ingeniería Nuclear [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

In order to take into account in a more effective and accurate way the intranodal heterogeneities in coarse-mesh finite-difference (CMFD) methods, a new equivalent parameter generation methodology has been developed and tested. This methodology accounts for the dependence of the nodal homogeneized two-group cross sections and nodal coupling factors, with interface flux discontinuity (IFD) factors that account for heterogeneities on the flux-spectrum and burnup intranodal distributions as well as on neighbor effects. The methodology has been implemented in an analytic CMFD method, rigorously obtained for homogeneous nodes with transverse leakage and generalized now for heterogeneous nodes by including IFD heterogeneity factors. When intranodal mesh node heterogeneity vanishes, the heterogeneous solution tends to the analytic homogeneous nodal solution. On the other hand, when intranodal heterogeneity increases, a high accuracy is maintained since the linear and nonlinear feedbacks on equivalent parameters have been shown to be as a very effective way of accounting for heterogeneity effects in two-group multidimensional coarse-mesh diffusion calculations.

More information

Item ID: 44293
DC Identifier: http://oa.upm.es/44293/
OAI Identifier: oai:oa.upm.es:44293
Official URL: http://www.ans.org/pubs/journals/nse/a_2340
Deposited by: Memoria Investigacion
Deposited on: 10 Jan 2017 08:55
Last Modified: 12 Jan 2017 11:40
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