Statistical Mechanics of Developed Turbulence - Lecture 1

Statistical Mechanics of Developed Turbulence - Lecture 1

International Centre for Theoretical Sciences via YouTube Direct link

Q&A

48 of 48

48 of 48

Q&A

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Statistical Mechanics of Developed Turbulence - Lecture 1

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  1. 1 Statistical mechanics of developed turbulence
  2. 2 Syllabus
  3. 3 Extra things you will learn!
  4. 4 Propaganda
  5. 5 Feynman's vision: RG & Turbulence
  6. 6 Goal
  7. 7 What is turbulence?
  8. 8 Take-home: 2 types of universality in turbulence
  9. 9 What does it mean: "solve turbulence?
  10. 10 Solve turbulence? Predict the fluctuations at small scales
  11. 11 Energy cascade
  12. 12 Kolmogorov's similarity hypotheses
  13. 13 The energy spectrum
  14. 14 Solve turbulence? Predict the dissipation experienced at large scales ..:
  15. 15 Friction factor in turbulent rough pipes
  16. 16 Fluctuations and Dissipation
  17. 17 Solve turbulence? Connect the scales ...
  18. 18 Transitional turbulence in pipe flow: puffs
  19. 19 How much turbulence is in the pipe?
  20. 20 Turbulence & Phase Transitions
  21. 21 Why is fully-developed
  22. 22 Why is turbulence unsolved?
  23. 23 How was critical phenomena solved?
  24. 24 Transition to turbulence
  25. 25 Stability of laminar flow
  26. 26 Precision measurement of turbulent transition
  27. 27 Pipe flow turbulence
  28. 28 Theory for the laminar-turbulent transition in pipe flow
  29. 29 Logic of modeling phase transitions
  30. 30 Identification of long-wavelength collective modes at the laminar- turbulent transition
  31. 31 Digression: how we should use computer simulation as a tool to make discoveries
  32. 32 Computer Simulation & Excessive Realism
  33. 33 DNS of 3D Navier-Stokes equations
  34. 34 Predator-prey oscillations in pipe flow
  35. 35 What drives the zonal flow?
  36. 36 Stochastic model of predator-prey dynamics
  37. 37 Derivation of predator-prey equations
  38. 38 Stochastic predator-prey recapitulates turbulence data
  39. 39 Pipe flow turbulence
  40. 40 "Puff splitting" in predator-prey systems
  41. 41 Roadmap: Universality class of laminar-turbulent transition
  42. 42 Directed percolation & the laminar- turbulent transition
  43. 43 Directed percolation transition
  44. 44 DP in 3 + 1 dimensions in pipe
  45. 45 Origin of superexponential scaling
  46. 46 Directed percolation vs. transitional turbulence
  47. 47 Universality class of predator-prey system near extinction
  48. 48 Q&A

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