Past Event: CSEM Student Forum

Classical Invariant Theory for Closure Modeling

Sahil Kommalpati, Mechanical Engineering

Abstract

In turbulence simulations, closure models formulate unresolved dynamics as functions of measurable variables. They play a central role in reducing the number of governing transport equations and the overall computational cost of simulations. In many cases, the feasibility of simulations is achieved solely by using these closure models. In this talk, a few techniques from classical invariant theory are explored to see how closure models can be built while maintaining consistent tensor symmetries, generalizability, and completeness.

Biography

Sahil is a Ph.D. student in the Mechanical Engineering department. His thesis research focuses on turbulence modeling using Reinforcement Learning. He is advised by Prof. Robert Moser.