Modules / Lectures

Sl.No | Chapter Name | MP4 Download |
---|---|---|

1 | Lesson 1- Motivation | Download |

2 | Lesson 2- Flow in a rectangular duct: Problem formulation | Download |

3 | Lesson 3- Flow in a rectangular duct: Discretiztion of flow domain | Download |

4 | Lesson 4- Tutorial 1: Converting PDE to algebraic equation using FD approximation | Download |

5 | Lesson 5- Tutorial 1 contd.: Solution for algebraic equations using Gauss- Seidel Method | Download |

6 | Lesson 6- Flow in a triangular duct: Problem formulation | Download |

7 | Lesson 7- Flow in a triangular duct: Discretiztion of flow domain | Download |

8 | Lesson 8- Tutorial 2: Converting PDE to algebraic equation using Finite Volume method | Download |

9 | Lesson 9- Tutorial 2 contd.: Description of FV method and solution using G-S Method | Download |

10 | Lesson 10- Effect of grid spacing & upcoming course outline | Download |

11 | Lesson 11- Mass conservation equations | Download |

12 | Lesson 12- Momentum conservation equations | Download |

13 | Lesson 13- Forces acting on control volume | Download |

14 | Lesson 14- Kinematics of deformation in fluid flow | Download |

15 | Lesson 15- Equations governing fluid flow in incompressible fluid | Download |

16 | Lesson 16- Navier-Stokes equation for simple cases of flow | Download |

17 | Lesson 17- Energy conservation equations | Download |

18 | Lesson 18- Practical cases of fluid flow with heat transfer in CFD point of view | Download |

19 | Lesson 19- Practical cases of fluid flow with mass transfer in CFD point of view | Download |

20 | Lesson 20- Equations governing fluid flow with chemical reactions | Download |

21 | Lesson 21- Concept of wellposedness of mathematical problems | Download |

22 | Lesson 22- Introduction to finite difference methods | Download |

23 | Lesson 23- Finite difference approximation on an uniform mesh | Download |

24 | Lesson 24- Higher order and mixed derivatives | Download |

25 | Lesson 25- Solution of Poisson equation in rectangular duct- Turorial | Download |

26 | Lesson 26- Discretization of time domain | Download |

27 | Lesson 27- FD approx. on a non-uniform mesh and need of analysis of obtained discretization | Download |

28 | Lesson 28- Need for the analysis of discretized equation | Download |

29 | Lesson 29- Properties of Numerical Schemes: Accuracy, Conservation property, Boundedness, Consistency, Stability and Convergence | Download |

30 | Lesson 30- Properties of Numerical Schemes: Stability analysis | Download |

31 | Lesson 31- Tutorial on Stability Analysis | Download |

32 | Lesson 32- Analysis of Generic 1-d scalar transport equation | Download |

33 | Introduction to the solution of coupled N-S equations | Download |

34 | N-S equation in compressible flow- Mac Cormack Scheme | Download |

35 | Stability limits of Mac-Cormack Scheme and the intro to Beam-Warming Scheme | Download |

36 | Implicit Beam-Warming Scheme | Download |

37 | Compressible flow to Incompressible flow | Download |

38 | Lesson 38 - Solution of coupled equations: Incompressible flow | Download |

39 | Lesson 39 - Artificial compressiblity method, Stream function-vorticity method | Download |

40 | Lesson 40 - Pressure equation method, Staggered grid system | Download |

41 | Lesson 41 - Pressure Correction Method | Download |

42 | Lesson 42 - Tutorial on Pressure Correction Method | Download |

43 | Lesson 43 - Tutorial on Pressure Correction Method contd. | Download |

44 | Lesson 44 - Introduction to the basic numerical methods | Download |

45 | Lesson 45 - Direct Methods: solution of the system of algebraic equations | Download |

46 | Lesson 46 - Tri-diagonal Matrix Algorithm: Derivation | Download |

47 | Lesson 47 - TDMA and other iterative methods | Download |

48 | Lesson 48 - Recap of basic iterative methods. | Download |

49 | Lesson 49 - Convergence analysis of basic iterative methods | Download |

50 | Lesson 50 - Successive Over Relaxation (SOR) method | Download |

51 | Lesson 51 - Alternating Direction Implicit (ADI) method | Download |

52 | Lesson 52 - Strongly Implicit Procedure (ILU) method | Download |

53 | Lesson 53 - Multigrid method | Download |

54 | Lesson 54 - Body Fitted Grid Approach | Download |

55 | Lesson 55 - Formulation Of Finite Volume Method | Download |

56 | Lesson 56 - Methods For Unstructured Grid Generation | Download |

57 | Lesson 57- Triangulation: The Advancing Front Method | Download |

58 | Lesson 58 - The Advancing Front Method continuation | Download |

59 | Lesson 59 -Time and length scale of turbulance | Download |

60 | Lesson 60 -The turbulent closure problem | Download |

61 | Lesson 61 -The generic formulation for turbulence | Download |

62 | Lesson 62 -More generic formulation and summary | Download |

Sl.No | Chapter Name | English |
---|---|---|

1 | Lesson 1- Motivation | Download Verified |

2 | Lesson 2- Flow in a rectangular duct: Problem formulation | Download Verified |

3 | Lesson 3- Flow in a rectangular duct: Discretiztion of flow domain | Download Verified |

4 | Lesson 4- Tutorial 1: Converting PDE to algebraic equation using FD approximation | Download Verified |

5 | Lesson 5- Tutorial 1 contd.: Solution for algebraic equations using Gauss- Seidel Method | Download Verified |

6 | Lesson 6- Flow in a triangular duct: Problem formulation | Download Verified |

7 | Lesson 7- Flow in a triangular duct: Discretiztion of flow domain | Download Verified |

8 | Lesson 8- Tutorial 2: Converting PDE to algebraic equation using Finite Volume method | Download Verified |

9 | Lesson 9- Tutorial 2 contd.: Description of FV method and solution using G-S Method | Download Verified |

10 | Lesson 10- Effect of grid spacing & upcoming course outline | Download Verified |

11 | Lesson 11- Mass conservation equations | Download Verified |

12 | Lesson 12- Momentum conservation equations | Download Verified |

13 | Lesson 13- Forces acting on control volume | Download Verified |

14 | Lesson 14- Kinematics of deformation in fluid flow | Download Verified |

15 | Lesson 15- Equations governing fluid flow in incompressible fluid | Download Verified |

16 | Lesson 16- Navier-Stokes equation for simple cases of flow | Download Verified |

17 | Lesson 17- Energy conservation equations | Download Verified |

18 | Lesson 18- Practical cases of fluid flow with heat transfer in CFD point of view | Download Verified |

19 | Lesson 19- Practical cases of fluid flow with mass transfer in CFD point of view | Download Verified |

20 | Lesson 20- Equations governing fluid flow with chemical reactions | Download Verified |

21 | Lesson 21- Concept of wellposedness of mathematical problems | Download Verified |

22 | Lesson 22- Introduction to finite difference methods | Download Verified |

23 | Lesson 23- Finite difference approximation on an uniform mesh | Download Verified |

24 | Lesson 24- Higher order and mixed derivatives | Download Verified |

25 | Lesson 25- Solution of Poisson equation in rectangular duct- Turorial | Download Verified |

26 | Lesson 26- Discretization of time domain | Download Verified |

27 | Lesson 27- FD approx. on a non-uniform mesh and need of analysis of obtained discretization | Download Verified |

28 | Lesson 28- Need for the analysis of discretized equation | Download Verified |

29 | Lesson 29- Properties of Numerical Schemes: Accuracy, Conservation property, Boundedness, Consistency, Stability and Convergence | Download Verified |

30 | Lesson 30- Properties of Numerical Schemes: Stability analysis | Download Verified |

31 | Lesson 31- Tutorial on Stability Analysis | Download Verified |

32 | Lesson 32- Analysis of Generic 1-d scalar transport equation | Download Verified |

33 | Introduction to the solution of coupled N-S equations | Download Verified |

34 | N-S equation in compressible flow- Mac Cormack Scheme | Download Verified |

35 | Stability limits of Mac-Cormack Scheme and the intro to Beam-Warming Scheme | Download Verified |

36 | Implicit Beam-Warming Scheme | Download Verified |

37 | Compressible flow to Incompressible flow | Download Verified |

38 | Lesson 38 - Solution of coupled equations: Incompressible flow | Download Verified |

39 | Lesson 39 - Artificial compressiblity method, Stream function-vorticity method | Download Verified |

40 | Lesson 40 - Pressure equation method, Staggered grid system | Download Verified |

41 | Lesson 41 - Pressure Correction Method | Download Verified |

42 | Lesson 42 - Tutorial on Pressure Correction Method | Download Verified |

43 | Lesson 43 - Tutorial on Pressure Correction Method contd. | Download Verified |

44 | Lesson 44 - Introduction to the basic numerical methods | Download Verified |

45 | Lesson 45 - Direct Methods: solution of the system of algebraic equations | Download Verified |

46 | Lesson 46 - Tri-diagonal Matrix Algorithm: Derivation | Download Verified |

47 | Lesson 47 - TDMA and other iterative methods | Download Verified |

48 | Lesson 48 - Recap of basic iterative methods. | Download Verified |

49 | Lesson 49 - Convergence analysis of basic iterative methods | Download Verified |

50 | Lesson 50 - Successive Over Relaxation (SOR) method | Download Verified |

51 | Lesson 51 - Alternating Direction Implicit (ADI) method | Download Verified |

52 | Lesson 52 - Strongly Implicit Procedure (ILU) method | Download Verified |

53 | Lesson 53 - Multigrid method | Download Verified |

54 | Lesson 54 - Body Fitted Grid Approach | Download Verified |

55 | Lesson 55 - Formulation Of Finite Volume Method | Download Verified |

56 | Lesson 56 - Methods For Unstructured Grid Generation | Download Verified |

57 | Lesson 57- Triangulation: The Advancing Front Method | Download Verified |

58 | Lesson 58 - The Advancing Front Method continuation | Download Verified |

59 | Lesson 59 -Time and length scale of turbulance | Download Verified |

60 | Lesson 60 -The turbulent closure problem | Download Verified |

61 | Lesson 61 -The generic formulation for turbulence | Download Verified |

62 | Lesson 62 -More generic formulation and summary | Download Verified |

Sl.No | Language | Book link |
---|---|---|

1 | English | Download |

2 | Bengali | Not Available |

3 | Gujarati | Not Available |

4 | Hindi | Not Available |

5 | Kannada | Not Available |

6 | Malayalam | Not Available |

7 | Marathi | Not Available |

8 | Tamil | Not Available |

9 | Telugu | Not Available |