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dc.contributor.supervisor LoVetri, Joe (Electrical and Computer Engineering) en
dc.contributor.author Jeffrey, Ian
dc.date.accessioned 2011-04-07T19:27:34Z
dc.date.available 2011-04-07T19:27:34Z
dc.date.issued 2011-04-07T19:27:34Z
dc.identifier.uri http://hdl.handle.net/1993/4459
dc.description.abstract Herein a fully parallel, upwind and flux-split Finite-Volume Time-Domain (FVTD) numerical engine for solving Maxwell's Equations on unstructured grids is developed. The required background theory for solving Maxwell's Equations using FVTD is given in sufficient detail, including a description of both the temporal and spatial approximations used. The details of the local-time stepping strategy of Fumeaux et al. is included. A global mesh-truncation scheme using field integration over a Huygens' surface is also presented. The capabilities of the FVTD algorithm are augmented with thin-wire and subcell circuit models that permit very flexible and accurate simulations of circuit-driven wire structures. Numerical and experimental validation shows that the proposed models have a wide-range of applications. Specifically, it appears that the thin-wire and subcell circuit models may be very well suited to the simulation of radio-frequency coils used in magnetic resonance imaging systems. A parallelization scheme for the volumetric field solver, combined with the local-time stepping, global mesh-truncation and subcell models is developed that theoretically provides both linear time- and memory scaling in a distributed parallel environment. Finally, the FVTD code is converted to the frequency domain and the possibility of using different flux-reconstruction schemes to improve the iterative convergence of the Finite-Volume Frequency-Domain algorithm is investigated. en
dc.format.extent 5503556 bytes
dc.format.mimetype application/pdf
dc.language.iso en_US
dc.rights info:eu-repo/semantics/openAccess
dc.subject Finite-volume en
dc.subject Maxwell's equations en
dc.subject Numerical methods en
dc.subject Electromagnetics en
dc.subject Subcell models en
dc.title Finite-volume simulations of Maxwell's equations on unstructured grids en
dc.type info:eu-repo/semantics/doctoralThesis
dc.degree.discipline Electrical and Computer Engineering en
dc.contributor.examiningcommittee Okhmatovski, Vladimir (Electrical and Computer Engineering) Bridges, Greg (Electrical and Computer Engineering) Lui, Shaun (Mathematics) So, Poman (Electrical and Computer Engineering University of Victoria) en
dc.degree.level Doctor of Philosophy (Ph.D.) en
dc.description.note May 2011 en


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