Graduate Thesis Or Dissertation
 

An analysis of the infinite periodic lattice approximation used in unit cell calculations

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https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/np193c61w

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  • Unit cell or pin cell calculations form the basis for most nuclear core modeling. Because of this, it is of primary importance to perform these unit cell calculations accurately. The subject of this thesis is the analysis of one of the major approximations made in unit cell modeling, the infinite periodic lattice approximation. Simply stated, this approximation assumes the neutronic behavior of one fuel element within a large periodic finite array of like fuel elements is the same experienced in an infinite periodic lattice. Comparisons are made between unit cell calculations with and without the infinite lattice approximation. The local flux is shown to be weakly dependent upon position of the unit cell within a finite periodic array. The shape of the local flux, disadvantage factors and eigenvalues are calculated for each cell in several exemplary arrays of unit cells by both multigroup diffusion codes and multigroup transport codes for a slab geometry.
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