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A new concept of equivalent homogenization method

Abstract

A new concept of equivalent homogenization is proposed. The concept employs new set of homogenized parameters: homogenized cross sections (XS) and interface matrix (IM), which relates partial currents at the cell interfaces. The idea of interface matrix generalizes the idea of discontinuity factors (DFs), proposed and developed by K. Koebke and K. Smith. The offered concept covers both those of K. Koebke and K. Smith; both of them can be simulated within framework of new concept. Also, the offered concept covers Siemens KWU approach for baffle/reflector simulation, where the equivalent homogenized reflector XS are derived from the conservation of response matrix at the interface in 1D simi-infinite slab geometry. The IM and XS of new concept satisfy the same assumption about response matrix conservation in 1D semi-infinite slab geometry. It is expected that the new concept provides more accurate approximation of heterogeneous cell, especially in case of the steep flux gradients at the cell interfaces. The attractive shapes of new concept are: improved accuracy, simplicity of incorporation in the existing codes, equal numerical expenses in comparison to the K. Smith`s approach. The new concept is useful for: (a) explicit reflector/baffle simulation; (b) control blades simulation; (c) mixed UO{sub 2}/MOX core  More>>
Authors:
Kim, Young Jin; Pogoskekyan, Leonid; Kim, Young Il; Ju, Hyung Kook; Chang, Moon Hee [1] 
  1. Korea Atomic Energy Research Institute, Taejon (Korea, Republic of)
Publication Date:
Jul 01, 1996
Product Type:
Technical Report
Report Number:
KAERI/TR-743/96
Reference Number:
SCA: 220100; PA: AIX-28:018569; EDB-97:025674; NTS-97:007427; SN: 97001736077
Resource Relation:
Other Information: PBD: Jul 1996
Subject:
22 NUCLEAR REACTOR TECHNOLOGY; FUEL ASSEMBLIES; HOMOGENIZATION METHODS; PWR TYPE REACTORS; FINITE DIFFERENCE METHOD; MATRICES; NEUTRON REFLECTORS; POWER DISTRIBUTION
OSTI ID:
429977
Research Organizations:
Korea Atomic Energy Research Inst., Daeduk (Korea, Republic of)
Country of Origin:
Korea, Republic of
Language:
English
Other Identifying Numbers:
Other: ON: DE97614437; TRN: KR9600275018569
Availability:
INIS; OSTI as DE97614437
Submitting Site:
KRN
Size:
92 p.
Announcement Date:

Citation Formats

Kim, Young Jin, Pogoskekyan, Leonid, Kim, Young Il, Ju, Hyung Kook, and Chang, Moon Hee. A new concept of equivalent homogenization method. Korea, Republic of: N. p., 1996. Web.
Kim, Young Jin, Pogoskekyan, Leonid, Kim, Young Il, Ju, Hyung Kook, & Chang, Moon Hee. A new concept of equivalent homogenization method. Korea, Republic of.
Kim, Young Jin, Pogoskekyan, Leonid, Kim, Young Il, Ju, Hyung Kook, and Chang, Moon Hee. 1996. "A new concept of equivalent homogenization method." Korea, Republic of.
@misc{etde_429977,
title = {A new concept of equivalent homogenization method}
author = {Kim, Young Jin, Pogoskekyan, Leonid, Kim, Young Il, Ju, Hyung Kook, and Chang, Moon Hee}
abstractNote = {A new concept of equivalent homogenization is proposed. The concept employs new set of homogenized parameters: homogenized cross sections (XS) and interface matrix (IM), which relates partial currents at the cell interfaces. The idea of interface matrix generalizes the idea of discontinuity factors (DFs), proposed and developed by K. Koebke and K. Smith. The offered concept covers both those of K. Koebke and K. Smith; both of them can be simulated within framework of new concept. Also, the offered concept covers Siemens KWU approach for baffle/reflector simulation, where the equivalent homogenized reflector XS are derived from the conservation of response matrix at the interface in 1D simi-infinite slab geometry. The IM and XS of new concept satisfy the same assumption about response matrix conservation in 1D semi-infinite slab geometry. It is expected that the new concept provides more accurate approximation of heterogeneous cell, especially in case of the steep flux gradients at the cell interfaces. The attractive shapes of new concept are: improved accuracy, simplicity of incorporation in the existing codes, equal numerical expenses in comparison to the K. Smith`s approach. The new concept is useful for: (a) explicit reflector/baffle simulation; (b) control blades simulation; (c) mixed UO{sub 2}/MOX core simulation. The offered model has been incorporated in the finite difference code and in the nodal code PANDOX. The numerical results show good accuracy of core calculations and insensitivity of homogenized parameters with respect to in-core conditions. 9 figs., 7 refs. (Author).}
place = {Korea, Republic of}
year = {1996}
month = {Jul}
}