1. Basics of Fluid Mechanics

2. Governing Equations

3. Non-Dimensionalization

4. Vorticity and Stream Function Equation

5. Classification of Equation and Nature of Solution

6. Types of Boundary Conditions

7. Standard Test Cases in CFD

8. Basic Steps involved in CFD

9. Concept of Computational Domain and Grid

10. Taylor’s Series Expansion

11. Forward Difference (FD), Backward Difference (BD) and Central Difference (CD) for First and Second Derivative

12. Forward Difference Formula for Non-Uniform Mesh

13. FD, BD and CD Formula for Mixed Derivatives

14. Derivation for Higher Derivatives

15. FD Formula for Polynomial Procedure

16. Approximation Methods

17. Properties associated with DIscretization

18. Error due to Approximation – Consistency and Convergence Analysis

19. Stability Analysis for different Numerical Schemes

20. FD Formulation for Model Equations

21. Finite Volume Formulation – 1D Diffusion Equation

22. Extension of FV Formulation to 2D and 3D

23. Finite Volume Formulation – Convection Diffusion  Equation

24. Convective Terms – Different Interpolation Schemes

25. Performance of Different Approximations of Convective Term

26. Time Integration Methods

27. Pressure Velocity Coupling

28. Marker-and-Cell (MAC) Method

29. Semi-Implicit Method for Pressure Linked Equations (SIMPLE )

30. Variants of SIMPLE Method

31. Projection Method

32. Turbulent Flow

33. Derivation of Governing Equations

34. Reynolds Stresses and its Modeling

35. Standard Models of Turbulence

36. Matrix Inversion – Direct Methods

37. Matrix Inversion – Iterative Methods

38. Demonstration of a Working CFD Code applied to Standard Test Cases