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Argonne National Laboratory Reports

By K. L. Derstine

Abstract

The mathematical development and numerical solution of the finite-difference equations are summarized. The report provides a guide for user application and details the programming structure of DIF3D. Guidelines are included for implementing the DIF3D export package on several large scale computers. Optimized iteration methods for the solution of large-scale fast-reactor finite-difference diffusion theory calculations are presented, along with their theoretical basis. The computational and data management considerations that went into their formulation are discussed. The methods utilized include a variant of the Chebyshev acceleration technique applied to the outer fission source iterations and an optimized block successive over-relaxation method for the within-group iterations. A nodal solution option intended for analysis of LMFBR designs in two- and three-dimensional hexagonal geometries is incorporated in the DIF3D package and is documented in a companion report, ANL-83-1

Topics: Liquid metal fast breeder reactors., Liquid metal cooled reactors., Fast reactors -- Computer programs., Neutron transport theory., Neutron flux., Iterative methods (Mathematics), Finite differences., Equations -- Numerical solutions., Nuclear reactor kinetics., Mathematical models.
Publisher: Argonne National Laboratory
Year: 1984
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Provided by: UNT Digital Library
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