Reactor nodal methods using response matrix techniques

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Authors
Ancona, Anthony
Issue Date
1977-12
Type
Electronic thesis
Thesis
Language
ENG
Keywords
Nuclear engineering
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Abstract
Equivalence is demonstrated between invariant imbedding formalism and response matrix approaches using analytical diffusion theory solution with Fourier transforms, coarse mesh and modified coarse mesh diffusion theory, coarse mesh diffusion theory with Taylor Series expansion of the neutron flux, and Green's Function probabilities. Acceptability of results for simple test cases is demonstrated, and the nodal coupling formulation is demonstrated to perform well when integrated with other required models for predicting effects of thermal energy group transitions, controlled assemblies, and reflectors. Power distribution solutions, obtained with the invariant imbedding response matrix techniques developed in this work, are compared to fine mesh diffusion theory solutions and to reference "exact" solutions.
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December 1977
School of Engineering
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Rensselaer Polytechnic Institute, Troy, NY
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