NOC:Physics of Turbulence

Lecture 1 - The turbulence problem

Lecture 2 - Basic hydrodynamics - Governing equations

Lecture 3 - Basic hydrodynamics - Vorticity

Lecture 4 - Basic hydrodynamics - Conservation Laws

Lecture 5 - Basic hydrodynamics - Example problems

Lecture 6 - Fourier space representation - Definitions

Lecture 7 - Fourier space representation - Flow equations

Lecture 8 - Fourier space representation - Kinetic energy

Lecture 9 - Fourier space representation - Vorticity, Kinetic Helicity, and Enstrophy

Lecture 10 - Fourier space representation - Examples

Lecture 11 - Fourier space representation - Examples (Continued...)

Lecture 12 - Craya-Herring Basis: Definitions

Lecture 13 - Craya-Herring Basis: Equations of Motion for a Triad

Lecture 14 - Craya-Herring Basis: Equations of Motion for an Anticlockwise Triad

Lecture 15 - Thermal Instability

Lecture 16 - Thermal Instabilities (Continued...)

Lecture 17 - Rotating Convection: Instability and Patterns

Lecture 18 - Magnetoconvection: Instability and Patterns

Lecture 19 - Nonlinear Saturation: Lorenz Equation

Lecture 20 - Patterns, Chaos, and Turbulence

Lecture 21 - Energy Transfers: Mode-to-mode Energy Transfers

Lecture 22 - Energy Transfers: Mode-to-mode Energy Transfers (Continued...)

Lecture 23 - Energy Transfers: Examples

Lecture 24 - Energy Transfers: Spectral Energy Flux and Shell-to-Shell Energy Transfer

Lecture 25 - Energy Transfers: Fluid Simulations using Spectral Method

Lecture 26 - Energy Transfers: Fluid Simulations - Dealiasing

Lecture 27 - Kolmogorov's Theory: Energy Spectrum and Flux

Lecture 28 - Kolmogorov's Theory: Insights and its Verification with Direct Numerical Simulation

Lecture 29 - Kolmogorov's Theory: Spectrum and Flux in inertial-dissipation range

Lecture 30 - Kolmogorov's four-fifth law: Isotropic Tensor and Correlations

Lecture 31 - Kolmogorov's four-fifth law: Derivation

Lecture 32 - Kolmogorov's four-fifth law: Derivation (Final steps)

Lecture 33 - Enstrophy Spectrum and Flux

Lecture 34 - Two-dimensional Turbulence

Lecture 35 - Helical turbulence

Lecture 36 - Flow with a scalar

Lecture 37 - Passive scalar turbulence

Lecture 38 - Stably stratified turbulence

Lecture 39 - Turbulent thermal convection

Lecture 40 - Flow with a vector

Lecture 41 - MHD Turbulence: Formalism

Lecture 42 - MHD Turbulence: Energy Transfers

Lecture 43 - MHD Turbulence: Turbulence Models

Lecture 44 - MHD Turbulence: Dynamo