Capturing Turbulent Dynamics and Statistics in Experiments Using Exact Coherent States
International Centre for Theoretical Sciences via YouTube
Overview
Syllabus
Intro
Research Interests (Numerics and Experiments)
Spatially Extended Nonlinear Systems
Linear vs. Nonlinear Systems
Low-Dimensional Chaos
Order in Chaos
Outline of the Talk
Fluid Flows
Laminar and Turbulent Flows
Order in Turbulence
Exact Coherent States (ECS)
Previous Studies
Kolmogorov Flow
Theoretical Modeling
Turbulent Dynamics
Signatures of Unstable Equilibria
Equilibria from Experiment
The Linear Dynamical Model
Forecasting Turbulence
Expanding Eigendirections
Unstable Periodic Orbits (DNS)
UPOs in Experiment
Statistical Significance of UPOS
Predicting Statistical Averages
Connectivity Between ECS
Heteroclinic Connections (1)
A Homoclinic Connection
Network Model of Turbulence
Summary
Taught by
International Centre for Theoretical Sciences