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…
Phase-Space Kinetic Theory of Polymer Solutions
I extended the kinetic theory of dilute polymer solutions under external fields to include finite-chain extensibility, and to properly account for wall-inducedhydrodynamic interactions. I developed formulas for the scaling of the depletion layer with the Peclet number and for the variation of molecular stretch and normal stresses; I also derived migration tensors for the Green’s…
Robust method for digital filtering of noisy images
We study maximum likelihood estimates applied to image processing, with focus on robust and efficient de-noising of medical images produced by nuclear magnetic resonance.
Stabilization of nonlinear systems: magnetic levitation model
We developed a control and stabilization scheme for a non-linear, unstable magnetic levitation system, using linearization methods and Lyapunov stability concepts. Czech version only.
Fuzzy control of traffic lights
As part of developing artificial intelligence proof-of-concepts, we analyzed the feasibility of using a fuzzy-logic controller for the dynamic management of traffic lights at road intersections.