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dc.contributor.authorMonahan, Shean Patrick.
dc.creatorMonahan, Shean Patrick.en_US
dc.date.accessioned2011-10-31T18:14:20Z
dc.date.available2011-10-31T18:14:20Z
dc.date.issued1994en_US
dc.identifier.urihttp://hdl.handle.net/10150/186615
dc.description.abstractIn this work a new method is developed that divides the physics of charged particle transport into two separate classes depending on the type of particle collisions that take place. The result is the Boltzmann/Spencer-Lewis SMART scattering formulation that combines a path length dependent description of the continuous slowing down approximation with the physics of catastrophic collisions. Both the forward and exact adjoint of the S(N)/diamond differenced numerical solution of this equation, using multigroup constants produced by a pre-existing cross section generating code, are developed for x-y-z multimedia geometry. Sample problems demonstrating the nearly perfect agreement between the forward and adjoint numerical algorithms are included. Evidence of the substantial difference between the adjoint of the continuous equation and the adjoint of the discretized equations is also presented.
dc.language.isoenen_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.subjectDissertations, Academic.en_US
dc.subjectNuclear engineering.en_US
dc.subjectMathematics.en_US
dc.titleThe Boltzmann/Spencer-Lewis smart scattering formulation of forward and adjoint coupled electron-positron-photon transport in three-dimensional multimedia regions.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.contributor.chairFilippone, Williamen_US
dc.contributor.chairFarr, Morrisen_US
dc.identifier.oclc722419836en_US
thesis.degree.grantorUniversity of Arizonaen_US
thesis.degree.leveldoctoralen_US
dc.contributor.committeememberGanapol, Barryen_US
dc.contributor.committeememberDrumm, Clifton R.en_US
dc.identifier.proquest9424948en_US
thesis.degree.disciplineNuclear and Energy Engineeringen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.namePh.D.en_US
refterms.dateFOA2018-08-16T15:00:46Z
html.description.abstractIn this work a new method is developed that divides the physics of charged particle transport into two separate classes depending on the type of particle collisions that take place. The result is the Boltzmann/Spencer-Lewis SMART scattering formulation that combines a path length dependent description of the continuous slowing down approximation with the physics of catastrophic collisions. Both the forward and exact adjoint of the S(N)/diamond differenced numerical solution of this equation, using multigroup constants produced by a pre-existing cross section generating code, are developed for x-y-z multimedia geometry. Sample problems demonstrating the nearly perfect agreement between the forward and adjoint numerical algorithms are included. Evidence of the substantial difference between the adjoint of the continuous equation and the adjoint of the discretized equations is also presented.


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