Learn · Physics of Turbulence

Lecture 3 of 45Week 1

Lecture 3: Basic hydrodynamics - Vorticity

Prof. Mahendra K. Verma · IIT Kanpur

Credits and licence

From
Physics of Turbulence, IIT Kanpur (at NPTEL)
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
Who can watch
Tweens profiles and older. How courses are placed

All the lectures

  1. Lecture 1: The turbulence problem Video
  2. Lecture 2: Basic hydrodynamics - Governing equations Video
  3. Lecture 3: Basic hydrodynamics - Vorticity Video
  4. Lecture 4: Basic hydrodynamics - Quadratic quantities Video
  5. Lecture 5: Basic hydrodynamics - Example problems Video
  6. Lecture 6: Fourier space representation - Definitions Video
  7. Lecture 7: Fourier space representation - Flow equations Video
  8. Lecture 8: Fourier space represenation - Kinetic energy Video
  9. Lecture 9: Fourier space representation - Vorticity, Kinetic Helicity, and Enstrophy Video
  10. Lecture 10: Fourier space representation - Examples Video
  11. Lecture 11: Fourier space representation - Examples (continued) Video
  12. Lecture 12: Craya-Herring Basis: Definitions Video
  13. Lecture 13: Craya-Herring Basis: Equations of Motion for a Triad Video
  14. Lecture 14: Craya-Herring Basis: Equations of Motion for an Anticlockwise Triad Video
  15. Lecture 15: Thermal Instability Video
  16. Lecture 16: Thermal Instabilities Continued Video
  17. Lecture 17: Rotating Convection: Instability and Patterns Video
  18. Lecture 18: Magnetoconvection: Instability and Patterns Video
  19. Lecture 19: Nonlinear Saturation: Lorenz Equation Video
  20. Lecture 20: Patterns, Chaos, and Turbulence Video
  21. Lecture 21: Energy Transfers: Mode-to-mode Energy Transfers Video
  22. Lecture 22: Energy Transfers: Mode-to-mode Energy Transfers (continued) Video
  23. Lecture 23: Energy Transfers: Examples Video
  24. Lecture 24: Energy Transfers: Spectral Energy Flux and Shell-to-Shell Energy Transfer Video
  25. Lecture 25: Energy Transfers: Fluid Simulations using Spectral Method Video
  26. Lecture 26: Energy Transfers: Fluid Simulations - Dealiasing Video
  27. Lecture 27: Kolmogorov's Theory: Energy Spectrum and Flux Video
  28. Lecture 28: Kolmogorov's Theory: Insights and its Verification with Direct Numerical Simulation Video
  29. Lecture 29: Kolmogorov's theory: Spectrum and Flux in inertial-dissipation range Video
  30. Lecture 30: Kolmogorov's four-fifth law: Isotropic Tensor and Correlations Video
  31. Lecture 31: Kolmogorov's four-fifth law: Derivation Video
  32. Lecture 32: Kolmogorov's four-fifth law: Derivation (Final steps) Video
  33. Lecture 33: Enstrophy Spectrum and Flux Video
  34. Lecture 34: Two-dimensional Turbulence Video
  35. Helical turbulence Video
  36. Flow with a scalar Video
  37. Passive scalar turbulence Video
  38. Stably stratified turbulence Video
  39. Turbulent thermal convection Video
  40. Flow with a vector Video
  41. Lecture 41: MHD Turbulence: Formalism Video
  42. Lecture 42: MHD Turbulence: Energy Transfers Video
  43. Lecture 43: MHD Turbulence: Turbulence Models Video
  44. Lecture 44: MHD Turbulence: Dynamo Video
  45. Live Session 17-09-2019 Video