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Multigroup transport equations with nondiagonal cross section matrices

It 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. / Ph. D. / incomplete_metadata

Identiferoai:union.ndltd.org:VTETD/oai:vtechworks.lib.vt.edu:10919/49963
Date January 1985
CreatorsWillis, Barton L.
ContributorsPhysics, Zweifel, Paul F., Hagedorn, George, Hannsgen, Kenneth B., Greenberg, W., Siswny, J., Bowen, Samuel P.
PublisherVirginia Polytechnic Institute and State University
Source SetsVirginia Tech Theses and Dissertation
Detected LanguageEnglish
TypeDissertation, Text
Formativ, 74 leaves, application/pdf, application/pdf
RightsIn Copyright, http://rightsstatements.org/vocab/InC/1.0/
RelationOCLC# 13194495

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