NOC:Essentials of Turbulence

Lecture 1 - The 'despair' in turbulence

Lecture 2 - Why Study Turbulence?

Lecture 3 - Some descriptions of turbulence

Lecture 4 - How to define turbulence?

Lecture 5 - A brief history of turbulence

Lecture 6 - Characteristics of turbulent flow

Lecture 7 - Methods of analysis

Lecture 8 - Origin of turbulence

Lecture 9 - Diffusivity of turbulence

Lecture 10 - Length scales in turbulent flows - Part A

Lecture 11 - Length scales in turbulent flows - Part B

Lecture 12 - Length scales in turbulent flows - Part C

Lecture 13 - Length scales in turbulent flows - Part D

Lecture 14 - Nature of turbulent flows and Continuity equation

Lecture 15 - Momentum equations, Pressure and Conserved scalars

Lecture 16 - Vorticity equation, Rates of strain and rotation

Lecture 17 - Random nature of turbulence

Lecture 18 - Characterization of random variables and examples of PDF

Lecture 19 - Joint random variables, Joint PDFs and Conditional PDFs

Lecture 20 - Random processes

Lecture 21 - Frequency spectrum and Gaussian process

Lecture 22 - Random fields and Wavenumber spectra

Lecture 23 - Reynolds equations

Lecture 24 - Closure problem in turbulence

Lecture 25 - Gradient diffusion and Turbulent viscosity hypotheses

Lecture 26 - Energy cascade

Lecture 27 - Kolmogorov hypotheses - Part 1

Lecture 28 - Kolmogorov hypotheses - Part 2

Lecture 29 - Energy spectrum - Part 1

Lecture 30 - Energy spectrum - Part 2

Lecture 31 - Fourier modes and Fourier series representation

Lecture 32 - The evolution of Fourier modes - Part 1

Lecture 33 - The evolution of Fourier modes - Part 2

Lecture 34 - The kinetic energy of Fourier modes

Lecture 35 - Velocity spectrum tensor and Energy spectrum function

Lecture 36 - One-dimensional spectra and comparison of spectra

Lecture 37 - Kolmogorov spectra

Lecture 38 - Model spectra

Lecture 39 - Dissipation spectra

Lecture 40 - Inertial subrange and Energy-containing range

Lecture 41 - Effects of Reynolds number

Lecture 42 - Energy-spectrum balance

Lecture 43 - Challenges and modeling approaches

Lecture 44 - Criteria for appraising models - Part 1

Lecture 45 - Criteria for appraising models - Part 2

Lecture 46 - Pseudo-spectral methods for DNS

Lecture 47 - Computational cost of DNS - Part 1

Lecture 48 - Computational cost of DNS - Part 2

Lecture 49 - Turbulent Viscosity Models

Lecture 50 - Four conceptual steps in LES

Lecture 51 - Filtering in one-dimension

Lecture 52 - Spectral representation of LES filter

Lecture 53 - Filtering in three-dimension

Lecture 54 - Filtered conservation equations

Lecture 55 - Smagorinsky model

Lecture 56 - LES in wavenumber space

Lecture 57 - Practice Problems - Part 1

Lecture 58 - Practice Problems - Part 2

Lecture 59 - Practice Problems - Part 3

Lecture 60 - Practice Problems - Part 4

Lecture 61 - Tutorial 1 - Practice Problem

Lecture 62 - Tutorial 2 - Practice Problem