Boulder School 2022: Lecture Notes

Week 1, July 4-8, 2022

July 3 (6:30pm-8:30pm) Registration Mixer at WeatherTech Café in the C4C

July 4

  • Welcome and School Introduction [Video]
  • G. Falkovich, Introduction to hydrodynamics I [Textbook] [Video]
    • Definitions: continuous medium, fluidity, Deborah number. Difference between solid and fluid - time of observation. Sect. 1.1.1
    • No tangential forces - ideal fluid. Euler, continuity and entropy equations. Sect. 1.1.2.
      Fluid particles keep their mass and entropy but exchange momentum and energy - two different forms of Eulerian and Lagrangian conservation laws. Sect 1.2
      Simplest flow: isentropic, potential incompressible. The first renormalization in physics: added mass. Force exerted by the fluid on the body - the time derivative of the quasi-momentum, not momentum. Sect. 1.3.1
  • K. R. Sreenivasan, Quantum turbulence [Notes] [Video] 
  • J. Oishi, Using Dedalus I [Notes] [Video]

July 5

  • G. Falkovich, Introduction to hydrodynamics II [Video]
    • Derivation of quasi-momentum. Acceleration of shrinking bodies. No-resistance paradox for steady motion. Sect. 1.3.2-3.
    • Introducing viscous friction, Sect. 1.4.2. Navier-Stokes equation, Sect. 1.4.3. Reynolds number, Sect 1.4.4.
    • Boundary layer separation and the first anomaly in physics, Sect 1.5.2.
  • K. R. Sreenivasan, Fluid mechanics of the Sun [Notes] [Video]
  • J. Oishi, Using Dedalus II [Notes] [Video]

July 6

July 7

  • T. Shaw, Large-scale circulation II [Notes] [Video]
  • J. Yeomans, Active nematics II [Slides] [Video]
  • G. Falkovich, Introduction to hydrodynamics III [Video]
    • Flow transformations on the way from low to high Reynolds numbers. Sect. 1.5.3.
    • Drag with a wake expressed via the flow deficit. Arbitrarily small viscosity changes flow in all space, not only in the wake. Sect. 1.5.4.
    • Turbulent cascade and the dissipative anomaly. Sect. 2.2.2.

July 8

  • T. Shaw, Large-scale circulation III [Notes] [Video]
  • J. Yeomans, Active nematics III [Slides] [Video]
  • What have we learned? [Video]

Week 2, July 11-15, 2022

July 11

July 12

  • K. Julien, Rotating convection II [Notes] [Video]
  • H. Alui, Subgrid modeling II [Video]
  • A. Venaille, Topological waves II [Video]

July 13

July 14

  • F. Bouchet, Large deviation theory II [Notes] [Video]
  • A. Venaille, Topological waves III [Video]
  • Y. Tu, Active matter II [Notes] [Video]

July 15

Week 3, July 18-22, 2022

July 18

  • N. Goldenfeld, Modeling the transition to turbulence I [Blackboard] [Notes] [Video]
  • B. Fox-Kemper, Ocean dynamics I [Notes] [Video]
  • Public Lecture: B. Fox-Kemper, Climate and Sea Level Change: Are U.N. Trouble? [Notes] [Video]

July 19

July 20

July 21

  • S. Tobias, Direct statistical simulation II [QL-GQL Lecture] [Notes] [Video]
  • E. Zweibel, Fluids at very largest scales II [Video]
  • N. Goldenfeld, Modeling the transition to turbulence III [Video]

July 22

  • S. Tobias, Direct statistical simulation III [Notes] [Video]
  • E. Zweibel, Fluids at very largest scales III [Video]
  • What have we learned? [Video]

Week 4, July 25-29, 2022

July 25

July 26

  • S. Fielding, Complex fluids (theory) II [Video]
  • S. Nagel, Complex fulids (expt.) II [Video]
  • D. Son, Quantum Hall liquids I [Video]

July 27

  • S. Fielding, Complex fluids (theory) III [Video]
  • T. Powers, Swimmers II [Video]
  • D. Son, Quantum Hall liquids II [Video]

July 28

  • T. Powers, Swimmers III [Video]
  • D. Son, Quantum Hall liquids III [Video]

July 29

  • R. Zia, Non-equilibrium Statistical Mechanics: a personal perspective [Video]
  • School discussion & summary [Video]