Statistical Mechanics of Developed Turbulence - Lecture 1
International Centre for Theoretical Sciences via YouTube
Overview
Syllabus
Statistical mechanics of developed turbulence
Syllabus
Extra things you will learn!
Propaganda
Feynman's vision: RG & Turbulence
Goal
What is turbulence?
Take-home: 2 types of universality in turbulence
What does it mean: "solve turbulence?
Solve turbulence? Predict the fluctuations at small scales
Energy cascade
Kolmogorov's similarity hypotheses
The energy spectrum
Solve turbulence? Predict the dissipation experienced at large scales ..:
Friction factor in turbulent rough pipes
Fluctuations and Dissipation
Solve turbulence? Connect the scales ...
Transitional turbulence in pipe flow: puffs
How much turbulence is in the pipe?
Turbulence & Phase Transitions
Why is fully-developed
Why is turbulence unsolved?
How was critical phenomena solved?
Transition to turbulence
Stability of laminar flow
Precision measurement of turbulent transition
Pipe flow turbulence
Theory for the laminar-turbulent transition in pipe flow
Logic of modeling phase transitions
Identification of long-wavelength collective modes at the laminar- turbulent transition
Digression: how we should use computer simulation as a tool to make discoveries
Computer Simulation & Excessive Realism
DNS of 3D Navier-Stokes equations
Predator-prey oscillations in pipe flow
What drives the zonal flow?
Stochastic model of predator-prey dynamics
Derivation of predator-prey equations
Stochastic predator-prey recapitulates turbulence data
Pipe flow turbulence
"Puff splitting" in predator-prey systems
Roadmap: Universality class of laminar-turbulent transition
Directed percolation & the laminar- turbulent transition
Directed percolation transition
DP in 3 + 1 dimensions in pipe
Origin of superexponential scaling
Directed percolation vs. transitional turbulence
Universality class of predator-prey system near extinction
Q&A
Taught by
International Centre for Theoretical Sciences