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dc.contributor.authorFerguson, Donald Rossen_US
dc.contributor.authorHansen, Kent F.en_US
dc.contributor.otherMassachusetts Institute of Technology. Department of Nuclear Engineeringen_US
dc.contributor.otherU.S. Atomic Energy Commissionen_US
dc.date.accessioned2014-09-16T23:32:46Z
dc.date.available2014-09-16T23:32:46Z
dc.date.issued1971en_US
dc.identifier.urihttp://hdl.handle.net/1721.1/89711
dc.description"August, 1971."en_US
dc.description"MIT-3903-4."en_US
dc.descriptionAlso issued as a Ph. D. thesis by the first author and supervised by the second author, MIT, Dept. of Nuclear Engineering, 1971en_US
dc.descriptionIncludes bibliographical references (pages 86-88)en_US
dc.description.abstractA 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.sponsorshipU. S. Atomic Energy Commission contract AT (30-1) 3903en_US
dc.format.extent245 pagesen_US
dc.publisherCambridge, Mass. : Massachusetts Institute of Technology, Dept. of Nuclear Engineering, [1971]en_US
dc.relation.ispartofseriesMIT-3903-4en_US
dc.relation.ispartofseriesMITNE ; no. 132en_US
dc.relation.ispartofseriesAEC research and development reporten_US
dc.subject.lccTK9008.M41 N96 no.132en_US
dc.subject.lcshNuclear reactorsen_US
dc.subject.lcshDifferential equations -- Numerical solutionsen_US
dc.titleSolution of the space-dependent reactor kinetics equations in three dimensionsen_US
dc.typeTechnical Reporten_US
dc.identifier.oclc856903321en_US


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