Systematic homogenization and self-consistent flux and pin power reconstruction for nodal diffusion methods
作者:
Hongbin Zhang,
Rizwan-uddin,
J.J. Dorning,
期刊:
Transport Theory and Statistical Physics
(Taylor Available online 1997)
卷期:
Volume 26,
issue 4-5
页码: 433-468
ISSN:0041-1450
年代: 1997
DOI:10.1080/00411459708017925
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Starting from the transport equation, a systematic homogenization theory and a self-consistent de-homogenization theory for fuel assemblies have been developed using a multiple-scales asymptotic expansion method. The resulting theory provides a framework for coarse-mesh nodal diffusion calculations of light water reactors. The theoretical development is carried out through second order in a small parameter—the ratio of the neutron mean free path to the reactor characteristic dimension. Introducing two spatial scales—a fast scale for the rapid variation of the flux over a fuel assembly and a slow scale for the slow variation of the flux over the whole core—into the neutron transport equation for a three-dimensional heterogeneous medium, the development systematically yields: an assembly-homogenized global diffusion equation with self-consistent expressions for the assembly-homogenized diffusion tensor elements and cross sections, and assembly-surface flux discontinuity factors. The analysis shows that the solution of the assembly-homogenized global diffusion equation leads to a reactor eigenvalue 1/keffthat is second order in the small parameter, and a heterogeneous transport theory angular flux that is leading order. The reaulting framework also provides a natural and self-consistent procedure for the reconstruction of the local heterogeneous angular fluxes which makes it possible to calculate the pin ower.
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