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Physics of Turbulence
Online
12 Weeks
Free Quick Facts
| Medium Of Instructions | Mode Of Learning | Mode Of Delivery |
|---|---|---|
| English | Self Study | Video and Text Based |
Courses and Certificate Fees
| Certificate Availability | Certificate Providing Authority |
|---|---|
| yes | IIT Kanpur |
The Syllabus
- The turbulence problem
- Basic hydrodynamics - Governing equations
- Basic hydrodynamics - Vorticity
- Basic hydrodynamics - Quadratic quantities
- Basic hydrodynamics - Example problems
- Fourier space representation - Definitions
- Fourier space representation - Flow equations
- Fourier space represenation - Kinetic energy
- Fourier space representation - Vorticity, Kinetic Helicity, and Enstrophy
- Fourier space representation - Examples
- Fourier space representation - Examples (continued)
- Craya-Herring Basis: Definitions
- Craya-Herring Basis: Equations of Motion for a Triad
- Craya-Herring Basis: Equations of Motion for an Anticlockwise Triad
- Thermal Instability
- Thermal Instabilities Continued
- Rotating Convection: Instability and Patterns
- Magnetoconvection: Instability and Patterns
- Nonlinear Saturation: Lorenz Equation
- Patterns, Chaos, and Turbulence
- Energy Transfers: Mode-to-mode Energy Transfers
- Energy Transfers: Mode-to-mode Energy Transfers (continued)
- Energy Transfers: Examples
- Energy Transfers: Spectral Energy Flux and Shell-to-Shell Energy Transfer
- Energy Transfers: Fluid Simulations using Spectral Method
- Energy Transfers: Fluid Simulations - Dealiasing
- Kolmogorov's Theory: Energy Spectrum and Flux
- Kolmogorov's Theory: Insights and its Verification with Direct Numerical Simulation
- Kolmogorov's theory: Spectrum and Flux in inertial-dissipation range
- Kolmogorov's four-fifth law: Isotropic Tensor and Correlations
- Kolmogorov's four-fifth law: Derivation
- Kolmogorov's four-fifth law: Derivation (Final steps)
- Enstrophy Spectrum and Flux
- Two-dimensional Turbulence
- Helical turbulence
- Flow with a scalar
- Passive scalar turbulence
- Stably stratified turbulence
- Turbulent thermal convection
- Flow with a vector
- MHD Turbulence: Formalism
- MHD Turbulence: Energy Transfers
- MHD Turbulence: Turbulence Models
- MHD Turbulence: Dynamo