Search ETDs:
Robust Algorithms for Electromagnetic Field Computation with Conduction Currents and Kinetic Charge-Transport Models
Moon, Haksu

2015, Doctor of Philosophy, Ohio State University, Electrical and Computer Engineering.
Numerical simulations of electromagnetic phenomena can guide, complement, and even replace real measurements and experiments in many areas such as radar scattering, geophysical exploration, device modeling, and laser-plasma interactions. This dissertation introduces several numerical algorithms for two classes of electromagnetic problems involving charge transport. The first class of problems is associated to geophysical exploration using borehole sensors, where the underlying response can be modelled as those of dipoles or current electrodes embedded within cylindrically-stratified and anisotropic layers. This problem exhibits both wave and diffusive phenomena, the latter substantiated by macroscopic currents comprising the net flow of charged particles in conductive earth formations. Historically, several notorious numerical challenges exist to solve this problem because the numerical computation under finite machine precision is neither stable nor accurate when using the canonical mathematical expressions. In this dissertation, we develop a robust mathematical formulation that is amenable to numerical implementation in finite (double) precision under a vast range of parameters, such as operating frequencies ranging from 0.01 Hz to hundreds of MHz, layer conductivities spanning about ten orders of magnitude, large number of cylindrical layers, and varying layer thicknesses. The second class of problems considered here deals with particle-in-cell algorithms to solve for the electromagnetic fields and kinetic charge transport in plasma-related applications. One long-outstanding challenge for particle-in-cell algorithms on unstructured grids has been the gradual deterioration of accuracy caused by the violation of charge conservation even though those grids are often necessary to accurately model complex geometries and devices. In this dissertation, we introduce a new particle-in-cell algorithm that yields exact charge and energy conservation properties. The proposed algorithm is based on the exterior calculus representation of the various dynamical objects (field, currents, charges) as differential forms of various degrees and their consistent interpolation from the grid to continuum space.
Fernando Teixeira (Advisor)
Joel Johnson (Committee Member)
Ronald Reano (Committee Member)
330 p.

Recommended Citations

Hide/Show APA Citation

Moon, H. (2015). Robust Algorithms for Electromagnetic Field Computation with Conduction Currents and Kinetic Charge-Transport Models. (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

Hide/Show MLA Citation

Moon, Haksu. "Robust Algorithms for Electromagnetic Field Computation with Conduction Currents and Kinetic Charge-Transport Models." Electronic Thesis or Dissertation. Ohio State University, 2015. OhioLINK Electronic Theses and Dissertations Center. 21 Sep 2017.

Hide/Show Chicago Citation

Moon, Haksu "Robust Algorithms for Electromagnetic Field Computation with Conduction Currents and Kinetic Charge-Transport Models." Electronic Thesis or Dissertation. Ohio State University, 2015. https://etd.ohiolink.edu/

Files

Moon_dissertation_v3_embedded.pdf (14.12 MB) View|Download