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Essentials 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
| Fees Informations | Certificate Availability | Certificate Providing Authority |
|---|---|---|
| INR 1000 | yes | IIT Bombay |
The Syllabus
Fundamental considerations of turbulence
- The "despair" in turbulence
- Why Study Turbulence?
- Descriptions of turbulence: How to define turbulence?
- A brief history of turbulence
- Eras of turbulent studies
The nature of turbulence
- Irregularity, Diffusivity, Large Reynolds numbers, 3D vorticity fluctuations, dissipation
- Methods of analysis
- Origin of turbulence
- Diffusivity of turbulence
- Length scales in turbulent flows
Equations of fluid motion
- Nature of turbulent flows
- Continuity and momentum equations
- Role of pressure and conserved scalars; vorticity equation
- Rates of strain and rotation; transformation properties
- Reynolds number similarity
Statistical description of turbulent flows
- Random nature of turbulence
- Characterization of random variables; Examples of PDF
- Joint random variables; Joint PDFs; Conditional PDFs
- Random processes; Statistically Stationary Random Processes
- Statistical Stationarity and homogeneity; Wavenumber spectra
Mean flow equations
- Reynolds equations
- Closure problem
- Anisotropy
- Gradient diffusion hypothesis
- Turbulent viscosity hypothesis
Scales of turbulent motion Part A
- Energy cascade
- Kolmogorov hypotheses Part 1
- Kolmogorov hypotheses Part 2
- Energy Spectrum Part 1
- Energy Spectrum Part 2
Scales of turbulent motion Part B
- Fourier modes
- Fourier series representation
- Projection Tensor
- The evolution of Fourier modes
- The kinetic energy of Fourier models
Scales of turbulent motion Part C
- Velocity spectrum tensor
- Energy spectrum function
- Kolmogorov spectra
- Model spectra
- Dissipation spectra
Modeling and simulation
- Challenges and modeling approaches Part 1
- Challenges and modeling approaches Part 2
- Modeling cost and ease of use
- Direct Numerical Simulation: Pseudo-spectral methods Part 1
- Direct Numerical Simulation: Pseudo-spectral methods Part 2
Modeling and simulation
- Direct Numerical Simulation: Computational cost Part 1
- Direct Numerical Simulation: Computational cost Part 2
- Turbulent Viscosity Models
Large Eddy Simulations
- Filtering
- Spectral representation
Large Eddy Simulations
- Resolution of filtered fields Part 1
- Resolution of filtered fields Part 2
- Filtering rate of strain
- Smagorinsky model Part 1
- Smagorinsky model Part 2
- Practice Problems Part 1
- Practice Problems Part 2
- Practice Problems Part 3
- Practice Problems Part 4
- Practice Problems Part 5