Modelling Oil spillage - Advection-Diffusion Equation (2-D)

Apr, 2023 - Jun, 2023 (Advisor – Prof. Dilip Srinivas Sundaram and Prof. Akshaa Vatwani, IIT Gandhinagar) | Project Link

Conducted an in-depth analysis of the Convection-Diffusion Equation within the framework of mathematical modeling.
Applied theoretical constructs such as Reynold’s Transport Theorem to various engineering domains, showcasing a comprehensive understanding.
Explored the intricate relationships between the Diffusion Equation, Brownian Motion, and derived numerical solutions.