Solution of the space-dependent reactor kinetics equations in three dimensions
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856903321.pdf
Size
11.86 MB
Format
Adobe PDF
Checksum (MD5)
aa3c3560aa2166ca5a77e46629b2536c
Author(s)
Ferguson, Donald Ross
Hansen, Kent F.
Date Issued
1971
Publisher
Cambridge, Mass. : Massachusetts Institute of Technology, Dept. of Nuclear Engineering, [1971]
Series/Report no.
MIT-3903-4
MITNE ; no. 132
AEC research and development report
Abstract
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.
Description
"August, 1971."
"MIT-3903-4."
Also issued as a Ph. D. thesis by the first author and supervised by the second author, MIT, Dept. of Nuclear Engineering, 1971
Includes bibliographical references (pages 86-88)
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