Research interests

Mathematical modeling

Computational modeling of physical phenomena (heat transfer, fluid flow, viscoelastic materials)

Developing accurate, and computationally efficient reduced-order models, i.e., simpler alternatives to the direct numerical simulation of the fundamental conservation laws and constitutive relations.
Analyzing Tribological systems; two (and three) dimensional lubricated contacts undergoing relative motion, exhibiting complex physics for example, lubricant cavitation, liquid and/or gas compressibility, thermophysical variation in lubricant properties etc.
Biotribology; modeling systems in the human body conforming to lubrication theory and exhibiting strong viscoelastic effects for example, human joint lubrication, eye lid movement forming tear films, blood flow etc.

Fully-(semi) Implicit numerical approaches for coupled system of highly non-linear equations using the Finite Difference, and Finite Volume Methods.
Grid transformation techniques for treating complex, and curved domains, in particular lubricated channels of arbitrary shape.

Design and analysis of renewable energy systems such as, concentrating solar thermal (CSP), molten salt receivers, solar photovoltaic systems etc.

Numerical solution of a system of coupled, non-linear Partial-(Ordinary) Differential Equations via Finite Difference and Finite Volume Methods.
Python (Numpy, Scipy, PyPy, Multiprocessing, Jupyter notebook) and C++ for performant, efficient and parallel codes.
Object-Oriented-Programming for organizing the code into independent segments for improved readability.
OpenFOAM for Computational Fluid Dynamics.
Matlab, Vba and R programming language.
Technical and scientific report writing and presentation using Latex, and Beamer.
Linux.

Thermo-Fluids Engineering I and II (ME-211, ME-212): A first course on thermodynamics, fluid mechanics and heat transfer. My main tasks involved conducting technical laboratory sessions, including heat transfer experiments, basic fluid simulations via COMSOL, and grading assignments, and reports.
Introduction to Computational Fluid Dynamics (ME-412): An elementary introduction to numerical methods specific to fluid flow such as, treatment of hyperbolic problems, diffusion terms via the Finite Volume Method. My chief responsibility involved grading assignments, managing and conducting project sessions on performing CFD via OpenFOAM in which students were taught to debug, modify the C++ code and post-process the results in ParaView.
Biological Fluid Mechanics (ME-513): A graduate level course involving the connection of fundamental fluid mechanics with the natural environment. The main task was to assist with the grading of assignments, project reports and presentations.

General Physics I and II (PHY-105, PHY-106): The course(s) provided an introduction to classical mechanics and electromagnetics, involving laboratory experiments that demonstrated the fundamental laws of nature such as, conservation of momentum, conservation of energy. In this, my task was to prepare, conduct and manage laboratory sessions preceded by a small lecture explaining the theory behind the experiment. In addition to this, student reports, laboratory manuals and quizzes were prepared and graded.