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Virginia Polytechnic Institute and State University
Multigroup transport equations with nondiagonal cross section matrices
Abstract
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.
Degree
thesis:*- Name thesis:degree_name
- Ph. D.
- Level thesis:degree_level
- doctoral
- Discipline thesis:degree_discipline
- Physics
- Department dc:contributor.department
- Physics
- Grantor dc:publisher
- Virginia Polytechnic Institute and State University
- Year dc:date.issued
- 1985
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Willis, Barton L.
- Chair dc:contributor.committeechair
-
- Zweifel, Paul F.
- Committee members dc:contributor.committeemember
-
- Hagedorn, George
- Hannsgen, Kenneth B.
- Greenberg, W.
- Siswny, J.
- Bowen, Samuel P.
Rights
dc:rights- Statement dc:rights
-
- In Copyright
- Licence dc:rights.uri
Identifiers
dc:identifier.*- Handle dc:identifier.uri
- http://hdl.handle.net/10919/49963
- OAI identifier oai:identifier
- oai:vtechworks.lib.vt.edu:10919/49963