Phd Project 30 | IIT Delhi Abu Dhabi

Development of Stable and Robust Algorithms for Plasma Flows

Natural Sciences

Supervisors

Prof. Harish Kumar
Prof. Satyananda Kar (IIT Delhi)

Project Description

Plasma flows are becoming increasing important for several applications in science, technology and industry. Often, experimenting with the actual plasma are either not feasible or very expensive. Hence numerical simulations are the preferred choice of studying plasma flow. However, given the rich nonlinear physics involved standard numerical methods are either unstable or inaccurate.
In this project, we will consider extended plasma flow models, which will allow simulation of wide variety of applications using the same model. Furthermore, we aim to design suitable numerical methods for the extended plasma flows model, which are provably robust, efficient and accurate. This will be achieved by designing using higher order methods based on the state of art numerical techniques. The proposed numerical methods will then be implemented and simulated on HPC and tested for wide variety of applications and academic test cases.

Background Required

Bachelor's or master's degree in Mathematics, Applied Mathematics, Physics, Mechanical Engineering, Aerospace Engineering and similar areas with strong interest in Numerical Analysis of PDEs.