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A Finite Element Synthesis Method

Shi-tien Yang, A. F. Henry

Nuclear Science and Engineering

Volume 59 / Number 1 / January 1976 / Pages 63-67


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A method for obtaining an approximate solution of the group-diffusion equations for geometrically complex reactors is described and tested for a two-group two-dimensional situation. The basic idea of the scheme is to represent the group fluxes throughout a given subassembly as the product of a precomputed normalized “shape function” that accounts for local geometrical detail and a smooth finite element function that specifies the overall magnitude of the fluxes within the subassembly and the gross leakage effects between a given subassembly and its neighbors. These composite fluxes for each subassembly are then stitched together by the application of a variational principle.

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