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osu1216744283.pdf (5.27 MB)
ETD Abstract Container
Abstract Header
Time-Domain Solvers for Complex-Media Electrodynamics and Plasma Physics
Author Info
Donderici, Burkay
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=osu1216744283
Abstract Details
Year and Degree
2008, Doctor of Philosophy, Ohio State University, Electrical and Computer Engineering.
Abstract
In this dissertation, several extensions for two popular electromagnetic simulation methods: finite-different time-domain (FDTD) and finite-element time-domain (FETD), are presented. These extensions aim to increase the geometrical flexibility and modeling capabilities in simulation of Maxwell's equations. Since straight-forward extensions to these methods produce numerical artifacts that pollute the results and reduce accuracy, alternative strategies have been sought. Various methodologies are explored here to address these issues: A E-B mixed-vector FETD implementation based on first order Maxwell equations is introduced. In this method a mix of electric and magnetic field variables are used, where an edge element expansion is used for the electric field and face element expansion is used for the magnetic field. Compared to the standard FETD methods, it can produce several advantages without any significant computational drawback: (i) it eliminates the spurious linear growth in time that may exist in the standard schemes; (ii) it produces energy-conserving schemes under appropriate time-discretization; (iii) it can be easily extended to frequency-dispersive media; (iv) it provides a natural path for hybridization with FDTD. Exploiting item (iii), E-B mixed-vector FETD is extended to inhomogeneous doubly-dispersive media. A conformal-PML implementation is also proposed for efficient simulation of open-domain boundaries by significantly reducing the buffer regions in the computational domain. Despite the advantages, finite-element simulations require solution of a linear system of equations which, in most practical problems, highly computationally intense. A hybrid FDTD-FETD method is introduced to alleviate this issue. The hybridization can result in significant optimization in computational cost by assigning detailed portion of the computational domain to FETD, while assigning the remaining to FDTD. Finally, a subgridding by domain-overriding (SGDO) methodology for full electromagnetic particle-in-cell (PIC) simulations is presented. Combined with relaxation methods, SGDO can produce significant improvements in PIC simulation accuracy.
Committee
Fernando Teixeira, Prof (Advisor)
Robert Lee, Prof (Committee Member)
Jin-Fa Lee, Prof (Committee Member)
Pages
166 p.
Subject Headings
Electromagnetism
Keywords
FDTD
;
FETD
;
finite difference
;
finite element
;
complex media
;
plasma physics
;
PIC
;
particle in cell
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Citations
Donderici, B. (2008).
Time-Domain Solvers for Complex-Media Electrodynamics and Plasma Physics
[Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1216744283
APA Style (7th edition)
Donderici, Burkay.
Time-Domain Solvers for Complex-Media Electrodynamics and Plasma Physics.
2008. Ohio State University, Doctoral dissertation.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=osu1216744283.
MLA Style (8th edition)
Donderici, Burkay. "Time-Domain Solvers for Complex-Media Electrodynamics and Plasma Physics." Doctoral dissertation, Ohio State University, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=osu1216744283
Chicago Manual of Style (17th edition)
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Document number:
osu1216744283
Download Count:
908
Copyright Info
© 2008, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.