Solution of the Space-dependent Reactor Kinetics Equations in Three Dimensions
Solution of the Space-dependent Reactor Kinetics Equations in Three Dimensions

Author: Donald Ross Ferguson

Publisher:

Published: 1971

Total Pages: 490

ISBN-13:

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A general class of two-step alternating-direction semi-implicit methods is proposed for the approximate solution of the semi-discrete form of the space-dependent reactor kinetics equations. An exponential transformation of the semi-discrete equations is described which has been found to significantly reduce the truncation error when several alternating-direction semi-implicit methods are applied to the transformed equations. A subset of this class is shown to be a consistent approximation to the differential equations and to be numerically stable. Specific members of this subset are compared in one- and two-dimensional numerical experiments. An "optimum" method, termed the NSADE (Non-Symmetric Alternating-Direction Explicit) method is extended to three-dimensional geometries. Subsequent three-dimensional numerical experiments confirm the truncation error, accuracy, and stability properties of this method.

Numerical Solution of the One-group, Space-independent Reactor Kinetics Equations for Neutron Density Given the Excess Reactivity
Numerical Solution of the One-group, Space-independent Reactor Kinetics Equations for Neutron Density Given the Excess Reactivity

Author: J. J. Kaganove

Publisher:

Published: 1960

Total Pages: 102

ISBN-13:

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The advantages and shortcomings of the codes currently in use at Argonne (RE-13 and RE-129) are discussed. A new method of solution, which has increased accuracy, stability for exceptionally large integration intervals, and a procedure for automatically changing the integration interval as the nature of the problem changes, is developed.