I’m Mehdi Shadkhah, a Ph.D. student and research assistant in Mechanical Engineering with a co-major in Applied Mathematics at Iowa State University, where I work with Prof. Baskar Ganapathysubramanian and Prof. James Rossmanith.

My research focuses on developing computational algorithms and mathematical models for fluid dynamics and multiphysics simulation. I combine numerical methods, high-performance computing, and scientific machine learning to study multiphase flows and simulate physics in complex geometries.

I develop numerical algorithms for coupled fluid, interfacial, and electrochemical systems. My work involves the Navier–Stokes, Poisson–Nernst–Planck, Allen–Cahn, and Cahn–Hilliard equations, with an emphasis on modeling the interactions between fluid motion, ion transport, and evolving interfaces. I also work on scientific machine learning for fluid mechanics, including contributions to FlowBench and MPFBench. These datasets support the development and evaluation of neural models for predicting flows around complex geometries and the dynamics of droplets and bubbles.

I earned an M.Eng. in Mechanical Engineering from Iowa State University and an M.Sc. in Aerospace Engineering from Sharif University of Technology. My master’s research at SUT investigated the primary atomization of liquid jets using the lattice Boltzmann method and GPU computing.