Modules / Lectures

Module Name | Download |
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Sl.No | Chapter Name | MP4 Download | Transcript Download |
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1 | Lecture 1: The turbulence problem | Download | PDF unavailable |

2 | Lecture 2: Basic hydrodynamics - Governing equations | Download | PDF unavailable |

3 | Lecture 3: Basic hydrodynamics - Vorticity | Download | PDF unavailable |

4 | Lecture 4: Basic hydrodynamics - Quadratic quantities | Download | PDF unavailable |

5 | Lecture 5: Basic hydrodynamics - Example problems | Download | PDF unavailable |

6 | Lecture 6: Fourier space representation - Definitions | Download | PDF unavailable |

7 | Lecture 7: Fourier space representation - Flow equations | Download | PDF unavailable |

8 | Lecture 8: Fourier space represenation - Kinetic energy | Download | PDF unavailable |

9 | Lecture 9: Fourier space representation - Vorticity, Kinetic Helicity, and Enstrophy | Download | PDF unavailable |

10 | Lecture 10: Fourier space representation - Examples | Download | PDF unavailable |

11 | Lecture 11: Fourier space representation - Examples (continued) | Download | PDF unavailable |

12 | Lecture 12: Craya-Herring Basis: Definitions | Download | PDF unavailable |

13 | Lecture 13: Craya-Herring Basis: Equations of Motion for a Triad | Download | PDF unavailable |

14 | Lecture 14: Craya-Herring Basis: Equations of Motion for an Anticlockwise Triad | Download | PDF unavailable |

15 | Lecture 15: Thermal Instability | Download | PDF unavailable |

16 | Lecture 16: Thermal Instabilities Continued | Download | PDF unavailable |

17 | Lecture 17: Rotating Convection: Instability and Patterns | Download | PDF unavailable |

18 | Lecture 18: Magnetoconvection: Instability and Patterns | Download | PDF unavailable |

19 | Lecture 19: Nonlinear Saturation: Lorenz Equation | Download | PDF unavailable |

20 | Lecture 20: Patterns, Chaos, and Turbulence | Download | PDF unavailable |

21 | Lecture 21: Energy Transfers: Mode-to-mode Energy Transfers | Download | PDF unavailable |

22 | Lecture 22: Energy Transfers: Mode-to-mode Energy Transfers (continued) | Download | PDF unavailable |

23 | Lecture 23: Energy Transfers: Examples | Download | PDF unavailable |

24 | Lecture 24: Energy Transfers: Spectral Energy Flux and Shell-to-Shell Energy Transfer | Download | PDF unavailable |

25 | Lecture 25: Energy Transfers: Fluid Simulations using Spectral Method | Download | PDF unavailable |

26 | Lecture 26: Energy Transfers: Fluid Simulations - Dealiasing | Download | PDF unavailable |

27 | Lecture 27: Kolmogorov's Theory: Energy Spectrum and Flux | Download | PDF unavailable |

28 | Lecture 28: Kolmogorov's Theory: Insights and its Verification with Direct Numerical Simulation | Download | PDF unavailable |

29 | Lecture 29: Kolmogorov's theory: Spectrum and Flux in inertial-dissipation range | Download | PDF unavailable |

30 | Lecture 30: Kolmogorov's four-fifth law: Isotropic Tensor and Correlations | Download | PDF unavailable |

31 | Lecture 31: Kolmogorov's four-fifth law: Derivation | Download | PDF unavailable |

32 | Lecture 32: Kolmogorov's four-fifth law: Derivation (Final steps) | Download | PDF unavailable |