Boulder School 2022: Lecture Notes and Videos
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Week 1, July 4-8, 2022
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 1.2Simplest 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
- T. Shaw, Large-scale circulation I [Notes] [Video]
- J. Yeomans, Active nematics I [Notes] [Slides] [Video]
- J. Oishi, Using Dedalus III [Notes] [Video]
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
- K. Julien, Rotating convection I [Notes] [Video]
- H. Aluie, Subgrid modeling I [Video]
- A. Venaille, Topological waves I [Outline] [Equatorial Waves] [Video]
July 12
- K. Julien, Rotating convection II [Notes] [Video]
- H. Alui, Subgrid modeling II [Video]
- A. Venaille, Topological waves II [Video]
July 13
- F. Bouchet, Large deviation theory I [Outline] [Notes] [Video]
- H. Aluie, Subgrid modeling III [Video]
- Y. Tu, Active matter I [Notes] [Video]
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
- F. Bouchet, Large deviation theory III [Notes] [Video]
- K. Julien, Rotating convection III [Notes] [Video]
- Y. Tu, Active matter III [Notes] [Video]
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
- N. Goldenfeld, Modeling the transition to turbulence II [Blackboard] [Blackboard Expanded] [Notes] [Video]
- B. Fox-Kemper, Ocean dynamics II [Notes] [Video]
- A. Lucas, Viscous electrons I [Video]
July 20
- S. Tobias, Direct statistical simulation I [DSS Lecture] [Notes] [Video]
- E. Zweibel, Fluids at very largest scales I [Video]
- B. Fox-Kemper, Ocean dynamics III [Notes] [Video]
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
- S. Fielding, Complex fluids (theory) I [Notes][Video]
- S. Nagel, Complex fluids (expt.) I [Video]
T. Powers, Swimmers I [Notes] [Slides] [Video]
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]