IEEE Winnipeg Section


Waves Chapter Seminar



Finite-Volume Simulations of Maxwell’s Equations on Unstructured Grids


Friday, February 18, 2011 @ 2:45pm


E2-393, EITC Building, University of Manitoba Fort Garry Campus


Ian Jeffrey
Electrical and Computer Engineering
University of Manitoba


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 Huygen’s 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 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.

Speaker Bio:

Ian Jeffrey was born August 2nd, 1980 in Kingston, Ontario Canada. He received the B.Sc. degree in Computer Engineering, and the M.Sc. degree in Electrical and Computer Engineering (ECE) from the University of Manitoba in 2002 and 2004, respectively.

During his graduate work, Mr. Jeffrey has been awarded M.Sc. and Ph.D. NSERC scholarships, a University of Manitoba Graduate Fellowship, a MITACS Accelerate Internship and, most recently, a MITACS NCE Post-Doctoral Fellowship. He was a joint-recipient of the Applied Computational Electromagnetics Society (ACES) Best Paper Award in 2007, was the ACES Conference Runner-Up for the Best Student Paper Award, also in 2007, and received a University of Manitoba ECE best teaching-assistant award in both 2002 and 2003.
From February to May 2008 he was an Intern Software Developer at Cadence Design Systems Inc., Department of Custom Integrated Research in Tempe, Arizona.

Mr. Jeffrey’s current research interests are in the areas of: large-scale and high-performance computational electromagnetics; time-domain electromagnetic-field modeling on unstructured grids; and high-order, frequency-domain electromagnetic-field modeling.


This will be a free event.


For questions or more information: Vladimir Okhmatovski 480-1432

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