Multigroup transport equations with nondiagonal cross section matrices

Simple item page
dc.contributor.authorWillis, Barton L.en
dc.contributor.committeechairZweifel, Paul F.en
dc.contributor.committeememberHagedorn, Georgeen
dc.contributor.committeememberHannsgen, Kenneth B.en
dc.contributor.committeememberGreenberg, W.en
dc.contributor.committeememberSiswny, J.en
dc.contributor.committeememberBowen, Samuel P.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

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
LD5655.V856_1985.W548.pdf
Size:
2.34 MB
Format:
Adobe Portable Document Format
Description:
Download

Collections

Doctoral Dissertations