A multiple-scales systematic theory for the simultaneous homogenization of lattice cells and fuel assemblies
作者:
Hongbin Zhang,
Rizwan-uddin,
J.J. Doming,
期刊:
Transport Theory and Statistical Physics
(Taylor Available online 1997)
卷期:
Volume 26,
issue 7
页码: 765-811
ISSN:0041-1450
年代: 1997
DOI:10.1080/00411459708224422
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A systematic theory for the simultaneous homogenization of lattice cells and fuel assemblies and a self-consistent debomogenization theory for the reconstruction of the heterogeneous transport flux are developed simultaneously by introducing three spatial scales into the neutron transport equation for a three-dimensional heterogeneous medium, and carrying out an analysis based on an asymptotic expansion. The development provides both a theoretical basis and practical homogenization and dehomogenizaion procedures for use in coarse-mesh nodal diffusion calculations, and it yields: a lattice-cell homogenized diffusion equation for a fuel assembly with consistent definitions of the homogenized diffusion tensor, homogenized cross sections, and flux discontinuity factors at the lattice cell interfaces; an assembly-homogenized global diffusion equation with consistent definitions of the homogenized diffusion tensor, homogenized cross sections, and flux discontinuity factors at the fuel assembly interfaces; and a self-consistent de-homogenization procedure for the reconstruction of the local heterogeneous transport theory fluxes.
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