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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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