Alternative Navigation Feasibility Study of DME/DME Systems

The DME/DME analysis includes line-of-sight (LOS) analysis, the coverage both en-route and in terminal areas, and optimal transmitter placement based on polygonal computational geometry. The aim is to assess the feasibility of VHF/UHF terrestrial navigation in GNSS-denied environments. To determine which airports are DME/DME-approach-enabled, we Check LOS (terrain included) in AAR (airport approach region). Check…

APNT & eLoran: Mathematical Analysis of Low-frequency Terrestrial Radionavigation in GNSS-denied Environments

To predict performance metrics for an LF navigation system at a particular location we need to develop and combine multiple models. The Groundwave Propagation Model, computes signal attenuation due to non-uniform surface conductivity and terrain elevation along the path from transmitter to receiver. The Markov Chain model for global transmitter availability is developed next; the…

Numerical Analysis of a Diffuse Plasma Discharge

I extended the in-house code for a 1D fluid model of a silent discharge in a parallel-plate geometry and subsequently developed and coded an extensive 2D fluid model. The code supports simulations of various cold plasmaconfigurations, from dielectric barrier discharges to extreme-field nanosecond streamers. The fluid model is solved with finite-difference and finite-volume methods on…

An axisymmetric unstructured finite volume method applied to the numerical modeling of an atmospheric pressure gas discharge

We develop a finite volume method based on unstructured triangular and/or quadrangular meshes for the numerical modeling of gas discharges at atmospheric pressure. The discretization of the computational domain is performed with median-dual control-volumes. Gradient calculations at the faces of the control-volumes are based on finite-element interpolation using shape functions. An FCT method was chosen…

Modeling of PECVD Reactors

I optimized a dielectric barrier discharge (DBD) reactor in terms of selectivity, deposition rate and product yield. I designed a hybrid model coupling a 2D stationary model of the deposition reactor to the 1D time-dependent plasma equations. The optimization results, presented in the form of ternary plots, offer industrial applicability and ease of interpretation.

Fundamental Solutions of Stokes Equation in Bounded Domains

Fundamental solutions of Stokes equation in bounded domains are unwieldy and computationally-intensive, therefore of limited practical use compared to numerical solutions. Nevertheless, specific applications may benefit from their use, and we found no published record of a Stokes flow Green’s function for a rectangular domain. Therefore we developed a semi-analytical form of this fundamental solution…

Stochastic Dynamics of Polymer Migration

To complement the research into phase-space kinetic theory of polymer solutions I turned again to computer simulations, specifically to Brownian dynamics of DNA electrophoresis under pressure-driven flow in micro-channels. In contrast to the majority of similar studies reported in the literature, I included electrically-induced hydrodynamic interactions, yielding uniformly valid solutions for small Debye lengths.I classified…