THE DEVELOPMENT AND APPLICATION OF THE DISCRETE ORDINATES-TRANSFER MATRIX HYBRID METHOD FOR DETERMINISTIC STREAMING CALCULATIONS

Persistent Link:
http://hdl.handle.net/10150/282057
Title:
THE DEVELOPMENT AND APPLICATION OF THE DISCRETE ORDINATES-TRANSFER MATRIX HYBRID METHOD FOR DETERMINISTIC STREAMING CALCULATIONS
Author:
Clark, Bradley Allan
Issue Date:
1981
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
Integral transport theory is used to compute transfer matrix elements for neutral particle streaming through r-z rectangular voids. The transfer matrix is utilized in a hybrid method; it interfaces with a conventional discrete ordinates calculation outside the void. Since the hybrid interface is accomplished within the inner iteration of an existing discrete ordinates code, standard sweeping schemes used in SN codes are not adversely affected. The resulting transfer matrix is independent of the multigroup energy structure used in a calculation. Further, the transfer matrix is not affected by changes in materials or cross sections outside the void. For these reasons, once a transfer matrix is calculated it can be used in a wide variety of problems containing a similar void. In this study, the transfer matrix hybrid, standard discrete ordinates, and Monte Carlo methods are applied to two sample problems to compare the accuracy of these methods. The Monte Carlo results are considered correct in order to compute errors in the deterministic calculations. The transfer matrix hybrid method is more accurate than conventional SN methods; the ray effect, persistent in discrete ordinates calculations, is substantially reduced. In addition, the transfer matrix hybrid executes faster than higher order SN calculations.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Neutron transport theory -- Mathematical models.
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Graduate College; Nuclear Engineering
Degree Grantor:
University of Arizona
Advisor:
Ganapol, Barry D.

Full metadata record

DC FieldValue Language
dc.language.isoen_USen_US
dc.titleTHE DEVELOPMENT AND APPLICATION OF THE DISCRETE ORDINATES-TRANSFER MATRIX HYBRID METHOD FOR DETERMINISTIC STREAMING CALCULATIONSen_US
dc.creatorClark, Bradley Allanen_US
dc.contributor.authorClark, Bradley Allanen_US
dc.date.issued1981en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractIntegral transport theory is used to compute transfer matrix elements for neutral particle streaming through r-z rectangular voids. The transfer matrix is utilized in a hybrid method; it interfaces with a conventional discrete ordinates calculation outside the void. Since the hybrid interface is accomplished within the inner iteration of an existing discrete ordinates code, standard sweeping schemes used in SN codes are not adversely affected. The resulting transfer matrix is independent of the multigroup energy structure used in a calculation. Further, the transfer matrix is not affected by changes in materials or cross sections outside the void. For these reasons, once a transfer matrix is calculated it can be used in a wide variety of problems containing a similar void. In this study, the transfer matrix hybrid, standard discrete ordinates, and Monte Carlo methods are applied to two sample problems to compare the accuracy of these methods. The Monte Carlo results are considered correct in order to compute errors in the deterministic calculations. The transfer matrix hybrid method is more accurate than conventional SN methods; the ray effect, persistent in discrete ordinates calculations, is substantially reduced. In addition, the transfer matrix hybrid executes faster than higher order SN calculations.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectNeutron transport theory -- Mathematical models.en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.disciplineNuclear Engineeringen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorGanapol, Barry D.en_US
dc.identifier.proquest8206888en_US
dc.identifier.oclc8712640en_US
dc.identifier.bibrecord.b13918242en_US
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