Talk by Megala Anandan
Posted on: 10 Mar 2026
Title: Structure-preserving methods for the barotropic Euler system: convergence and error estimates in the low Mach number limit
Speaker: Megala Anandan, Postdoctoral Researcher, Institute for Mathematics, Johannes Gutenberg University of Mainz, Germany
Date: 11 March 2026
Time: 2 PM IST
Venue: Auditorium and Zoom
Abstract
Accurate numerical simulation of multiscale fluid systems is a central challenge in computational mathematics and physics. In particular, the barotropic Euler system exhibits multiscale behavior in the low Mach number regime, which can render standard methods inefficient or unstable due to stiffness. This motivates the development of numerical schemes that are both efficient and robust across multiscale regimes.
In this talk, I present implicit–explicit (IMEX) numerical methods for the barotropic Euler equations that are asymptotic-preserving and fully discrete energy-stable, ensuring both consistency with the incompressible limit and nonlinear stability. I discuss the construction of these methods, provide consistency analysis through discrete energy stability, and present rigorous error estimates that remain uniform with respect to the Mach number. To demonstrate their practical effectiveness, I will also show numerical experiments illustrating energy stability, accuracy, and convergence in challenging low Mach number regimes. While this work focuses on the barotropic Euler system, it provides insights that may guide the development of robust, structure-preserving methods for related multiscale fluid systems.