Multiple-scales homogenization of the diffusion equation for coarse-mesh calculations

H. Zhang, Rizwan-uddin Rizwan-uddin, John J. Dorning · Transactions of the American Nuclear Society · 1993

Equivalence theory and generalized equivalence theory (GET) represent important progress in homogenization procedures and, in fact, yield rather accurate results when incorporated into coarse-mesh nodal calculations. However, they were developed in a somewhat ad hoc manner and appear not to have systematic mathematical bases. In order to develop a self-consistent and systematic lattice-cell and fuel-bundle homogenization theory, we recently carried out a multiple-scales asymptotic analysis starting from the transport equation

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