My research interests have mainly developed through projects, coursework and self-reading. From my internships in Germany and the United States and also through my bachelors thesis, I became interested computational methods for fluids, numerical methods for conservation laws and stochastic methods for fluid simulations. My current work involves deterministic and stochastic modeling of large dynamical systems.





Oceanic Flows

I am currently working in multi-scale modeling of large dynamical systems. Particularly, I am modeling the circulation in the North Arabian sea. The next steps of this research include studying the dynamics of the region, applying various algorithms to study optimal paths for data sampling AUVs. We are planning to incorporate novel ideas such as Lagrangian Coherent Structures, Dynamically Orthogonal Field Equations and Level Set methods into this study to also investigate the uncertainities involved.

During my internship in Germany, I worked on modeling aerosol droplet formation through Monte-Carlo methods. It was during this time that I was introduced to various advanced concepts of stochastic modeling and uncertainity quantification. This work also involved merging various CFD models with the stochastic simulations. This was helpful for me to learn the basics of coupled solvers and other related concepts of computational engineering.





Velocity profile in Magnetohydrodynamic (MHD) flows

For my bachelors thesis, I modeled a two-phase flow of liquid metal and gaseous Helium under the effect of strong magnetic field. These flows, known as magnetohydrodynamic flows are crucial in fusion reactors, as extremely high magnetic fields are needed to contain the plasma within. I studied a potential leakage of the Helium coolant in the system, and developed parameters that would be able to indicate such a leak before any deterimental effects.

I also worked on the modeling of Vertical Axis Wind Turbines at Virginia Tech (USA) during the summer of 2013. My work involved modeling the startup of Darrieus type wind turbines. This involved writing a piece of software that worked in unison with the CFD solver ANSYS-Fluent to calculate the forces on the turbine and accordingly modify its angular velocity. This work served as my first exposure to computational modeling, and hence was very crucial in further developing my interests.