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Seminar
Speaker
Siddhartha Mukherjee (IIT Kanpur, Uttar Pradesh)
Date & Time
Fri, 06 December 2024, 11:30 to 13:00
Venue
Emmy Noether Seminar Room
Resources
Abstract

Turbulence and its organization, long conceptualized in terms of "coherent structures" has resisted clear description, largely due to a lack of tools to identify instantaneous, spatially finite structures, while unraveling them from superposition. We present generalized correlations coupled with Helmholtz-decomposition as a paradigm to identify and disentangle structures. Apart from the well known vorticity-jets surrounded by swirling velocity, we find high kinetic energy velocity-jets. Biot–Savart decomposition shows that the velocity-jets are neither self-induced, nor induced by the strong vorticity, but almost entirely induced, non-locally, by the permeating intermediate range vorticity. Velocity-swirls are a superposition of self-induced and background-induced contributions. Our work suggests that turbulence organization could result from non-local and non-linear field interactions - coherence in one field may be an "echo" of coherence elsewhere in the gradient fields, and so on recursively - leading to an emergent description, unlike the notion of a strict structural hierarchy envisioned in the "cascade".

Zoom link: https://icts-res-in.zoom.us/j/96237019600?pwd=4uTzEElYkWLILZrQaxhKagVcukSbza.1
Meeting ID: 962 3701 9600
Passcode: 584987