Time integration methods for reactor kinetics
Name
856655278.pdf
Size
6.71 MB
Format
Adobe PDF
Checksum (MD5)
af12b170001c3ba62b3e7bb1ea3a4ecb
Author(s)
Nóbrega, José de Anchieta Wanderley da
Henry, Allan F.
Publisher
Cambridge, Mass. : Massachusetts Institute of Technology, Dept. of Nuclear Engineering, []
Series/Report no.
MITNE ; no. 136
COO (Series) ; 3052-1
AEC research and development report
Abstract
A technique based on the Padé approximations is applied to the solution of the point kinetics equations. The method consists of treating explicitly the roots of the inhour formula which would make the Padé approximations inaccurate. Also, an analytic method is developed which permits a fast inversion of polynomials of the point kinetics matrix and has direct applicability to the Pads approximations. Results are presented for several cases using various options of the method. It is concluded that the technique provides a fast and accurate computational method for the point kinetics equations. Also, an implicit solution method for the time-dependent multigroup diffusion equations known as the "theta method" is studied. Both the usual method and a variation of it, derived from the precursor integrated equations, are considered. Several properties of both versions of the theta method are demonstrated. An attempt is made to find better integration parameters (thetas) for the method, based on corresponding point kinetics calculations. Calculations are done for several test cases, leading to the conclusion that the improvements obtained are of limited value.
Description
"December 1971."
Includes bibliographical references (pages 104-107)
Persistent DSpace Link
