Abstract
New finite-element formulations based on numerical integration of mass and stiffness matrices have been used for solving the time-dependent multigroup diffusion theory equations in multidimensions. There is a drastic reduction in the coupling of the nodal unknowns. This facilitates the use of a fast and stable time integration scheme, viz. an alternating-direction explicit (ADE) algorithm. Frequency transformation is used to limit the truncation error due to temporal differencing. This model is incorporated in a code called fintran. Analyses of 2-D and 3-D reactor transients indicate that the present method can be as efficient as other fast nodal methods.
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