THE FORMULATION OF THE STREAMING RAY METHOD FOR ELECTRON TRANSPORT CALCULATIONS IN TWO DIMENSIONS.

Persistent Link:
http://hdl.handle.net/10150/184222
Title:
THE FORMULATION OF THE STREAMING RAY METHOD FOR ELECTRON TRANSPORT CALCULATIONS IN TWO DIMENSIONS.
Author:
SMITH, MARK SCOTT.
Issue Date:
1987
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:
In this work, the method of streaming rays have been expanded to two spatial dimensions (three phase space dimensions, x, y, and s) and was used as a basis for the development of the electron transport computer code SR2D. The streaming ray algorithm is an Eulerian-Lagrangian hybrid. Electrons are followed as they traverse the medium along specified streaming rays. Fluxes, however, are computed at the centers of the fixed cells. The development of the SR2D code required the specification of a Lagrangian streaming ray network overlaying a three dimensional Eulerian grid. In contrast to its one dimensional predecessor, the SR2D code accommodates non-uniform cell sizes and allows for arbitrary quadrature sets (S₂, S₄, S₆, S₈, S₁₂, or S₁₆). The critical aspect of the streaming ray method is the determination of the pathlengths of each and every streaming ray through all of the Eulerian cells. These values must be precalculated and stored because of the iterative nature of the solution scheme. Although the number of pathlengths may be exceedingly large, computer memory requirements are minimized, however, in the two dimensional algorithm by the symmetry of the geometry in each pathlength increment. The SR2D code was used to calculate the energy deposition profile for two kinds of sources, an isotropic point source and a monodirectional point at the periphery of a two dimensional medium. For each case, we chose aluminum with dimensions 0.01g/cm² thick by 0.02g/cm² wide as the medium and specified a grid of 5 by 10 uniform cells, respectively. The pathlength increment was 0.002g/cm² with 25 pathlength increments chosen. An S₈ quadrature set was selected for the monodirectional point source while an S₁₂ quadrature set was used for the isotropic point source. Both sources were normalized to one incident particle with an energy of 200 keV. SR2D results were compared with those from the electron/photon Monte Carlo code TIGER. The total energy deposited in the medium and peak cell was selected to facilitate the comparison. For the monodirectional point source SR2D results were within 1% for total energy deposited into the medium and peak cell energy. The total energy deposited for the isotropic point source was within 1%, but peak cell energy varied by 4%.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Electrons -- Scattering.; Electron transport.; Monte Carlo method.; Particle range (Nuclear physics)
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Nuclear and Energy Engineering; Graduate College
Degree Grantor:
University of Arizona
Advisor:
Filippone, William L.

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleTHE FORMULATION OF THE STREAMING RAY METHOD FOR ELECTRON TRANSPORT CALCULATIONS IN TWO DIMENSIONS.en_US
dc.creatorSMITH, MARK SCOTT.en_US
dc.contributor.authorSMITH, MARK SCOTT.en_US
dc.date.issued1987en_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.abstractIn this work, the method of streaming rays have been expanded to two spatial dimensions (three phase space dimensions, x, y, and s) and was used as a basis for the development of the electron transport computer code SR2D. The streaming ray algorithm is an Eulerian-Lagrangian hybrid. Electrons are followed as they traverse the medium along specified streaming rays. Fluxes, however, are computed at the centers of the fixed cells. The development of the SR2D code required the specification of a Lagrangian streaming ray network overlaying a three dimensional Eulerian grid. In contrast to its one dimensional predecessor, the SR2D code accommodates non-uniform cell sizes and allows for arbitrary quadrature sets (S₂, S₄, S₆, S₈, S₁₂, or S₁₆). The critical aspect of the streaming ray method is the determination of the pathlengths of each and every streaming ray through all of the Eulerian cells. These values must be precalculated and stored because of the iterative nature of the solution scheme. Although the number of pathlengths may be exceedingly large, computer memory requirements are minimized, however, in the two dimensional algorithm by the symmetry of the geometry in each pathlength increment. The SR2D code was used to calculate the energy deposition profile for two kinds of sources, an isotropic point source and a monodirectional point at the periphery of a two dimensional medium. For each case, we chose aluminum with dimensions 0.01g/cm² thick by 0.02g/cm² wide as the medium and specified a grid of 5 by 10 uniform cells, respectively. The pathlength increment was 0.002g/cm² with 25 pathlength increments chosen. An S₈ quadrature set was selected for the monodirectional point source while an S₁₂ quadrature set was used for the isotropic point source. Both sources were normalized to one incident particle with an energy of 200 keV. SR2D results were compared with those from the electron/photon Monte Carlo code TIGER. The total energy deposited in the medium and peak cell was selected to facilitate the comparison. For the monodirectional point source SR2D results were within 1% for total energy deposited into the medium and peak cell energy. The total energy deposited for the isotropic point source was within 1%, but peak cell energy varied by 4%.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectElectrons -- Scattering.en_US
dc.subjectElectron transport.en_US
dc.subjectMonte Carlo method.en_US
dc.subjectParticle range (Nuclear physics)en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineNuclear and Energy Engineeringen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorFilippone, William L.en_US
dc.identifier.proquest8727937en_US
dc.identifier.oclc699822100en_US
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