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Nonlinear acceleration methods for even-parity neutron transport

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1928/10832

Nonlinear acceleration methods for even-parity neutron transport

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dc.contributor.author Martin, William
dc.date.accessioned 2010-06-25T20:58:20Z
dc.date.available 2010-06-25T20:58:20Z
dc.date.issued 2010-06-25T20:58:20Z
dc.date.submitted May 2010
dc.identifier.uri http://hdl.handle.net/1928/10832
dc.description.abstract Convergence 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.iso en_US en_US
dc.subject Neutron Transport en_US
dc.subject Even-Parity en_US
dc.subject Acceleration Methods en_US
dc.subject Quasi-Diffusion en_US
dc.subject.lcsh Neutron transport theory--Numerical solutions
dc.subject.lcsh Numerical analysis--Acceleration of convergence
dc.subject.lcsh Calculus of tensors
dc.subject.lcsh Conjugate gradient methods
dc.title Nonlinear acceleration methods for even-parity neutron transport en_US
dc.type Thesis en_US
dc.description.degree Nuclear Engineering en_US
dc.description.level Masters en_US
dc.description.department University of New Mexico. Dept. of Chemical and Nuclear Engineering en_US
dc.description.advisor de Oliveira, Cassiano
dc.description.committee-member de Oliveira, Cassiano
dc.description.committee-member Prinja, Anil
dc.description.committee-member Coutsias, Evangelos


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