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…
CFD Design of Gas Injector
The goal was to increase spatial uniformity of gas flow field injected onto a substrate in a AP-PECVD process. I proposed a novel type of tubular injector with an auxiliary inner showerhead and performed a CFD analysis to demonstrate the effects of various design parameters and operating conditions in terms of vorticity and local Reynolds…
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.
2-D Direct Simulation Monte Carlo of pressure-driven orifice flow
The aim was to use a 2D Direct simulation Monte Carlo method to simulate a pressure-driven flow of dilute, monoatomic gas through an orifice.
Process Analysis and Design (Coursework)
This is a complete collection of materials for the Process Analysis and Design class, that I taught at Florida State University in 2010-2012. The archive includes lecture notes, homework problems, exams and quizzes. The topics covered include: Linear Equations & Matrix Algebra Vector Spaces & Classical Least Squares Determinants & Cramer’s Rule Eigenvalues and Eigenvectors…
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…