The Boltzmann/Spencer-Lewis smart scattering formulation of forward and adjoint coupled electron-positron-photon transport in three-dimensional multimedia regions.
AuthorMonahan, Shean Patrick.
Committee ChairFilippone, William
MetadataShow full item record
PublisherThe University of Arizona.
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.
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.
Degree ProgramNuclear and Energy Engineering