Skip to content. | Skip to navigation

Personal tools

Theme for TIFR Centre For Applicable Mathematics, Bangalore

Navigation

You are here: Home / Events / Divergence Constraint Preserving Second Order Scheme for Two Fluid (Non-Relativistic and Relativistic) Plasma Flow Models

Divergence Constraint Preserving Second Order Scheme for Two Fluid (Non-Relativistic and Relativistic) Plasma Flow Models

Harish Kumar, Indian Institute of Technology Delhi
Speaker
Harish Kumar, Indian Institute of Technology Delhi
When Apr 15, 2025
from 04:00 PM to 05:00 PM
Where Via zoom
Add event to calendar vCal
iCal
COLLOQUIUM TALK


Abstract: In Two-fluid plasma flow models, fluids are often coupled via source terms depending on electric and magnetic fields. The electromagnetic fields evolved using Maxwell’s equations. The magnetic field evolution needs to be divergence-free, and the electric field evolution needs to satisfy Gauss’s Law; both are constraints on the divergence of these fields. Often, either these constraints are ignored, or Maxwell’s equations are modified, and perfectly hyperbolic Maxwell’s (PHM) equations are considered, which preserves these constraints as a limiting case.

In this talk, we will present a discretization of Maxwell’s equations based on the multidimensional Riemann solvers, which ensures that the divergence constraints at the discrete level are the outcome of the discretization. These schemes are then extended to the second order using a vertex reconstruction method. We present several test cases to show the effectiveness of the proposed scheme in ensuring the divergence constraint preservation for relativistic and non-relativistic plasma flow cases.

This is joint work with Prof. Praveen Chandrashekar, Dr. Deepak Bhoriya, Jaya Agnihotri, and Prof. Dinshaw S. Balsara.


Speaker Bio: Harish Kumar is a faculty member in the Department of Mathematics at the Indian Institute of Technology (IIT) Delhi. Prior to joining IIT Delhi, he worked at ETH Zurich, Switzerland, and INRIA Bordeaux, France. His research interests include numerical analysis and scientific computing, with a focus on numerical methods for hyperbolic partial differential equations, computational fluid and plasma flows, and extended models for plasma dynamics.


Join Zoom Meeting




Filed under: