Finite-volume simulations of Maxwell's equations on unstructured grids
| dc.contributor.author | Jeffrey, Ian | |
| 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.contributor.supervisor | LoVetri, Joe (Electrical and Computer Engineering) | en |
| 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.degree.discipline | Electrical and Computer Engineering | en_US |
| dc.degree.level | Doctor of Philosophy (Ph.D.) | en_US |
| 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.description.note | May 2011 | en |
| dc.format.extent | 5503556 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://hdl.handle.net/1993/4459 | |
| dc.language.iso | eng | en_US |
| dc.rights | open access | en_US |
| 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 | doctoral thesis | en_US |