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Multidimensional Space-Time Nuclear-Reactor Kinetics Studies—Part I: Theoretical

M. R. Buckner and J. W. Stewart

Nuclear Science and Engineering

Volume 59 / Number 4 / April 1976 / Pages 289-297


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A direct, iterative method has been developed for the numerical solution of the transient few-group neutron diffusion and delayed precursor equations in three-dimensional, hex-z geometry. The method is shown to be numerically stable, and truncation errors are of order h2. The results of numerical experiments as well as comparison with space-time experimental results indicate that the method is accurate and that three-dimensional calculations can be performed at “reasonable” computing costs. The method is incorporated as a JOSHUA module at the Savannah River Laboratory.

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