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dc.contributor.authorMartin, William
dc.date.accessioned2010-06-25T20:58:20Z
dc.date.available2010-06-25T20:58:20Z
dc.date.issued2010-06-25T20:58:20Z
dc.date.submittedMay 2010
dc.identifier.urihttp://hdl.handle.net/1928/10832
dc.description.abstractConvergence acceleration methods for even-parity transport are being developed that have the potential to speed up transport calculations and provide a natural avenue for an implicitly coupled multiphysics code. An investigation was performed into the acceleration properties of the introduction of a nonlinear quasi-diffusion-like tensor in linear and nonlinear solution schemes. Although poor numerical properties prohibit the direct matrix solution of this reduced system, using it as a preconditioner for the conjugate gradients method proves highly efficient and effective and using it directly in a nonlinear solution scheme proves practical but costly. The results for the linear and nonlinear cases serve as the basis for further research into the application in a full three-dimensional spherical-harmonics even-parity transport code. Once moved into the nonlinear solution scheme, the implicit coupling of the convergence accelerated transport method into codes for other physics can be done seamlessly, providing an efficient, fully implicitly coupled multiphysics code with high order transport.en_US
dc.language.isoen_USen_US
dc.subjectNeutron Transporten_US
dc.subjectEven-Parityen_US
dc.subjectAcceleration Methodsen_US
dc.subjectQuasi-Diffusionen_US
dc.subject.lcshNeutron transport theory--Numerical solutions
dc.subject.lcshNumerical analysis--Acceleration of convergence
dc.subject.lcshCalculus of tensors
dc.subject.lcshConjugate gradient methods
dc.titleNonlinear acceleration methods for even-parity neutron transporten_US
dc.typeThesisen_US
dc.description.degreeNuclear Engineeringen_US
dc.description.levelMastersen_US
dc.description.departmentUniversity of New Mexico. Dept. of Chemical and Nuclear Engineeringen_US
dc.description.advisorde Oliveira, Cassiano
dc.description.committee-memberde Oliveira, Cassiano
dc.description.committee-memberPrinja, Anil
dc.description.committee-memberCoutsias, Evangelos


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