Multigroup transport equations with nondiagonal cross section matrices

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dc.contributor.authorWillis, Barton L.en
dc.contributor.committeechairZweifel, Paul F.en
dc.contributor.committeememberHagedorn, George A.en
dc.contributor.committeememberHannsgen, Kenneth B.en
dc.contributor.committeememberGreenberg, W.en
dc.contributor.committeememberSlawny, Josephen
dc.contributor.committeememberBowen, S.en
dc.contributor.departmentPhysicsen
dc.date.accessioned2014-08-13T14:38:53Zen
dc.date.available2014-08-13T14:38:53Zen
dc.date.issued1985en
dc.description.abstractIt is shown that multigroup transport equations with nondiagonal cross section matrices arise when the modal approximation is applied to energy dependent transport equations. This work is a study of such equations for the case that the cross section matrix is nondiagonalizable. For the special case of a two-group problem with a noninvertible scattering matrix, the problem is solved completely via the Wiener-Hopf method. For more general problems, generalized Chandrasekhar H equations are derived. A numerical method for their solution is proposed. Also, the exit distribution is written in terms of the H functions.en
dc.description.adminincomplete_metadataen
dc.description.degreePh. D.en
dc.format.extentiv, 74 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/49963en
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 13194495en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1985.W548en
dc.subject.lcshNeutron transport theoryen
dc.subject.lcshWiener-Hopf equationsen
dc.subject.lcshWiener-Hopf operatorsen
dc.subject.lcshFunctional analysisen
dc.titleMultigroup transport equations with nondiagonal cross section matricesen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplinePhysicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en
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