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Course10310611965 lectures

Computational Fluid Dynamics

Prof. Sreenivas Jayanti · IIT Madras

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Lectures

Module 1- Introduction to CFD approach

  1. Lesson 1- Motivation Video
  2. Lesson 2- Flow in a rectangular duct: Problem formulation Video
  3. Lesson 3- Flow in a rectangular duct: Discretiztion of flow domain Video
  4. Lesson 4- Tutorial 1: Converting PDE to algebraic equation using FD approximation Video
  5. Lesson 5- Tutorial 1 contd.: Solution for algebraic equations using Gauss- Seidel Method Video

Module 1- Introduction to CFD approach- Part 2

  1. Lesson 6- Flow in a triangular duct: Problem formulation Video
  2. Lesson 7- Flow in a triangular duct: Discretiztion of flow domain Video
  3. Lesson 8- Tutorial 2: Converting PDE to algebraic equation using Finite Volume method Video
  4. Lesson 9- Tutorial 2 contd.: Description of FV method and solution using G-S Method Video
  5. Lesson 10- Effect of grid spacing & upcoming course outline Video

Module 2- Equations Governing Fluid Flow - Part 1

  1. Lesson 11- Mass conservation equations Video
  2. Lesson 12- Momentum conservation equations Video
  3. Lesson 13- Forces acting on control volume Video
  4. Lesson 14- Kinematics of deformation in fluid flow Video
  5. Lesson 15- Equations governing fluid flow in incompressible fluid Video
  6. Lesson 16- Navier-Stokes equation for simple cases of flow Video

Module 2- Equations Governing Fluid Flow - Part 2

  1. Lesson 17- Energy conservation equations Video
  2. Lesson 18- Practical cases of fluid flow with heat transfer in CFD point of view Video
  3. Lesson 19- Practical cases of fluid flow with mass transfer in CFD point of view Video
  4. Lesson 20- Equations governing fluid flow with chemical reactions Video
  5. Lesson 21- Concept of wellposedness of mathematical problems Video

Module 3- Basics of CFD: Part 1- Finite Difference Methods

  1. Lesson 22- Introduction to finite difference methods Video
  2. Lesson 23- Finite difference approximation on an uniform mesh Video
  3. Lesson 24- Higher order and mixed derivatives Video
  4. Lesson 25- Solution of Poisson equation in rectangular duct- Turorial Video
  5. Lesson 26- Discretization of time domain Video
  6. Lesson 27- FD approx. on a non-uniform mesh and need of analysis of obtained discretization Video

Module 3- Basics of CFD: Part 2- Analysis of Discretized Equations

  1. Lesson 28- Need for the analysis of discretized equation Video
  2. Lesson 29- Properties of Numerical Schemes: Accuracy, Conservation property, Boundedness, Consistency, Stability and Convergence Video
  3. Lesson 30- Properties of Numerical Schemes: Stability analysis Video
  4. Lesson 31- Tutorial on Stability Analysis Video
  5. Lesson 32- Analysis of Generic 1-d scalar transport equation Video

Module 4 -Solution of Navier-Stokes Equations- Part 1

  1. Introduction to the solution of coupled N-S equations Video
  2. N-S equation in compressible flow- Mac Cormack Scheme Video
  3. Stability limits of Mac-Cormack Scheme and the intro to Beam-Warming Scheme Video
  4. Implicit Beam-Warming Scheme Video
  5. Compressible flow to Incompressible flow Video

Module 4 -Solution of Navier-Stokes Equations- Part 2

  1. Lesson 38 - Solution of coupled equations: Incompressible flow Video
  2. Lesson 39 - Artificial compressiblity method, Stream function-vorticity method Video
  3. Lesson 40 - Pressure equation method, Staggered grid system Video
  4. Lesson 41 - Pressure Correction Method Video
  5. Lesson 42 - Tutorial on Pressure Correction Method Video
  6. Lesson 43 - Tutorial on Pressure Correction Method contd. Video

Module 5- Solution of linear algebraic equation- Part 1: Basic Methods

  1. Lesson 44 - Introduction to the basic numerical methods Video
  2. Lesson 45 - Direct Methods: solution of the system of algebraic equations Video
  3. Lesson 46 - Tri-diagonal Matrix Algorithm: Derivation Video
  4. Lesson 47 - TDMA and other iterative methods Video
  5. Lesson 48 - Recap of basic iterative methods. Video

Module 5- Solution of linear algebraic equation- Part 2: Advanced Methods

  1. Lesson 49 - Convergence analysis of basic iterative methods Video
  2. Lesson 50 - Successive Over Relaxation (SOR) method Video
  3. Lesson 51 - Alternating Direction Implicit (ADI) method Video
  4. Lesson 52 - Strongly Implicit Procedure (ILU) method Video
  5. Lesson 53 - Multigrid method Video

Module 6- Basics of finite volume method including grid generation - Part -1

  1. Lesson 54 - Body Fitted Grid Approach Video
  2. Lesson 55 - Formulation Of Finite Volume Method Video
  3. Lesson 56 - Methods For Unstructured Grid Generation Video
  4. Lesson 57- Triangulation: The Advancing Front Method Video
  5. Lesson 58 - The Advancing Front Method continuation Video

Module 6 - Issues in practical problems - Part 2: Turbulent flows

  1. Lesson 59 -Time and length scale of turbulance Video
  2. Lesson 60 -The turbulent closure problem Video
  3. Lesson 61 -The generic formulation for turbulence Video
  4. Lesson 62 -More generic formulation and summary Video

Live Session

  1. Live Session 12-02-2021 Video
  2. Live Session 12-03-2021 Video
  3. Live Session 09-04-2021 Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Madras
Department
Chemical Engineering
Teacher
Prof. Sreenivas Jayanti
Level
Undergraduate
Language
English
Subjects
Chemistry, Engineering
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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