##### COMPUTATIONAL FLUID DYNAMICS [AE _]

Course objectives:

1. Introduction to CFD (4 hours)
1. What is computational fluid dynamics?
2. Basic principles of CFD
3. Stages in a CFD simulation
4. Fluid-flow equations
5. The main discretisation methods
6. Exercises
2. Fluid-Flow Equations (6 hours)
1. Introduction
2. Conservative differential equations
3. Non-conservative differential equations
4. Non-dimensionalisation
5. Exercises (Numerical Problems)
3. Approximations and Simplified Equations (8 hours)
2. Two-dimensional vs three-dimensional flow
3. Incompressible vs compressible flow
4. Inviscidvs viscous flow
5. Hydrostatic vs non-hydrostatic flow
6. Boussinesq approximation for density
7. Depth-averaged (shallow-water) equations
8. Reynolds-averaged equations (turbulent flow)
9. Examples
4. The Scalar-Transport Equation (8 hours)
1. Control-volume notation
3. Discretising diffusion
4. Discretising the source term
5. The matrix equation
7. Extension to 2 and 3 dimensions
8. Discretisation properties
11. Boundary conditions
12. Solution of matrix equations
13. Examples (Numerical Problems)
5. Pressure and Velocity (6 hours)
1. The momentum equation
2. Pressure-velocity coupling
3. Pressure-correction methods
4. Exercise (CFD Simulation in Software _ Tutorial Exercise)
6. Turbulence (8 hours)
1. What is turbulence?
2. Momentum transfer in laminar and turbulent flow
3. Turbulence notation
4. Effect of turbulence on the mean flow
5. Turbulence generation and transport
6. Important shear flows
7. Exercise (CFD Simulation in Software _ Design Problem)
7. Pre- and Post-processing (5 hours)
1. Stages of a CFD analysis
2. The computational mesh
3. Boundary conditions
4. Flow visualization

Laboratories:

CFD Analysis in OpenFoam / Ansys

1. Simulation of vortex shredding over a cylinder
2. Simulation of air flow over an airfoil
3. Use of UPWIND, CENTRAL Difference scheme for scalar advection-diffusion problem.

References:

1. An introduction to Computational Fluid Dynamics – The Finite Volume Method, H. K. Versteeg and W. Malalasekera
2. Computational Methods for Fluid Dynamics – Joel H. Ferziger / MilovanPeric
3. Computational Fluid Dynamics: Principles and Applications, J. Blazek
4. Computational Fluid Dynamics – The Basics with Applications, John D. Anderson, Jr.
5. The Physics of Fluid Turbulence – W. D. Mc COMB

Text Book:

1. Computational Fluid Dynamics – The basics and applications, Anderson J.D. Jr, (1995), Mcgraw-Hill, New York.
2. An introduction to CFD, H. Versteeg and W. Malalasekra, Pearson, Education, 2nd Edition, 2008. Reference Book
3. Computational Fluid Dynamic – a practical approach, Jiyuan Tu, Guan Heng Yeoh and Chaoqun Liu, Butterworth - Heinemann (ELSEVIER), 2008.
4. Introduction to Computational Fluid Dynamics, Pradip Niyogi, S.K. Chakrabarthy and M.K. Laha, Pearson Education, 2006.
Evaluation Scheme:
There will be questions covering all the chapters in the syllabus. The evaluation scheme for the question will be as indicated in the table below:

 Chapter Hours Mark distribution* 1 & 2 4 + 6 16 3 8 16 4 8 16 5 & 7 6 + 5 16 6 8 16 Total 45 80

*Note: There may be minor deviation in mark distribution.