dc.contributor.author | Ferguson, Donald Ross | en_US |
dc.contributor.author | Hansen, Kent F. | en_US |
dc.contributor.other | Massachusetts Institute of Technology. Department of Nuclear Engineering | en_US |
dc.contributor.other | U.S. Atomic Energy Commission | en_US |
dc.date.accessioned | 2014-09-16T23:32:46Z | |
dc.date.available | 2014-09-16T23:32:46Z | |
dc.date.issued | 1971 | en_US |
dc.identifier.uri | http://hdl.handle.net/1721.1/89711 | |
dc.description | "August, 1971." | en_US |
dc.description | "MIT-3903-4." | en_US |
dc.description | Also issued as a Ph. D. thesis by the first author and supervised by the second author, MIT, Dept. of Nuclear Engineering, 1971 | en_US |
dc.description | Includes bibliographical references (pages 86-88) | en_US |
dc.description.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. | en_US |
dc.description.sponsorship | U. S. Atomic Energy Commission contract AT (30-1) 3903 | en_US |
dc.format.extent | 245 pages | en_US |
dc.publisher | Cambridge, Mass. : Massachusetts Institute of Technology, Dept. of Nuclear Engineering, [1971] | en_US |
dc.relation.ispartofseries | MIT-3903-4 | en_US |
dc.relation.ispartofseries | MITNE ; no. 132 | en_US |
dc.relation.ispartofseries | AEC research and development report | en_US |
dc.subject.lcc | TK9008.M41 N96 no.132 | en_US |
dc.subject.lcsh | Nuclear reactors | en_US |
dc.subject.lcsh | Differential equations -- Numerical solutions | en_US |
dc.title | Solution of the space-dependent reactor kinetics equations in three dimensions | en_US |
dc.type | Technical Report | en_US |
dc.identifier.oclc | 856903321 | en_US |