Title:
Coupled Space-Angle Adaptivity and Goal-Oriented Error Control for Radiation Transport Calculations

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dc.contributor.advisor de Oliveira, Cassiano R. E.
dc.contributor.author Park, HyeongKae en_US
dc.contributor.committeeMember Barry D. Ganapol
dc.contributor.committeeMember Rahnema, Farzad
dc.contributor.committeeMember Thomas D. Morley
dc.contributor.committeeMember Stacey, Weston M.
dc.contributor.department Nuclear Engineering en_US
dc.date.accessioned 2007-03-27T18:02:50Z
dc.date.available 2007-03-27T18:02:50Z
dc.date.issued 2006-11-15 en_US
dc.description.abstract This research is concerned with the self-adaptive numerical solution of the neutral particle radiation transport problem. Radiation transport is an extremely challenging computational problem since the governing equation is seven-dimensional (3 in space, 2 in direction, 1 in energy, and 1 in time) with a high degree of coupling between these variables. If not careful, this relatively large number of independent variables when discretized can potentially lead to sets of linear equations of intractable size. Though parallel computing has allowed the solution of very large problems, available computational resources will always be finite due to the fact that ever more sophisticated multiphysics models are being demanded by industry. There is thus the pressing requirement to optimize the discretizations so as to minimize the effort and maximize the accuracy. One way to achieve this goal is through adaptive phase-space refinement. Unfortunately, the quality of discretization (and its solution) is, in general, not known a priori; accurate error estimates can only be attained via the a posteriori error analysis. In particular, in the context of the finite element method, the a posteriori error analysis provides a rigorous error bound. The main difficulty in applying a well-established a posteriori error analysis and subsequent adaptive refinement in the context of radiation transport is the strong coupling between spatial and angular variables. This research attempts to address this issue within the context of the second-order, even-parity form of the transport equation discretized with the finite-element spherical harmonics method. The objective of this thesis is to develop a posteriori error analysis in a coupled space-angle framework and an efficient adaptive algorithm. Moreover, the mesh refinement strategy which is tuned for minimizing the error in the target engineering output has been developed by employing the dual argument of the problem. This numerical framework has been implemented in the general-purpose neutral particle code EVENT for assessment. en_US
dc.description.degree Ph.D. en_US
dc.format.extent 2730068 bytes
dc.format.mimetype application/pdf
dc.identifier.uri http://hdl.handle.net/1853/13944
dc.language.iso en_US
dc.publisher Georgia Institute of Technology en_US
dc.subject Radiation transport en_US
dc.subject A posteriori error analysis en_US
dc.subject Space-angle adaptivity en_US
dc.subject Finite-element spherical-harmonics method en_US
dc.subject.lcsh Radiative transfer en_US
dc.subject.lcsh Spherical harmonics en_US
dc.subject.lcsh Error analysis (Mathematics) en_US
dc.title Coupled Space-Angle Adaptivity and Goal-Oriented Error Control for Radiation Transport Calculations en_US
dc.type Text
dc.type.genre Dissertation
dspace.entity.type Publication
local.contributor.corporatename George W. Woodruff School of Mechanical Engineering
local.contributor.corporatename College of Engineering
relation.isOrgUnitOfPublication c01ff908-c25f-439b-bf10-a074ed886bb7
relation.isOrgUnitOfPublication 7c022d60-21d5-497c-b552-95e489a06569
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