1. Title of subject
2. Subject code
Computational Fluid Dynamics
EME4116
3 3. Credit Hour
4. Pre-
Requisite
5. Aim of
Subject
6. Learning
Outcomes
and Program
Outcomes
of Subject
7. Assessment
Scheme
Degree
EME3026: Fluid Dynamics
EME3156: Computational Methods for Mechanical Engineering
To introduce the fundamentals and general perspective of Computational
Fluid Dynamics (CFD) to the students.
At the completion of the course, students should be able to :
Learning Outcomes:
• LO1: Apply the general finite difference method to CFD equations (cognitive - applying, level 3)
• LO2: Analyse non-linear CFD equations (cognitive - analysing, level 4)
• LO3: Apply CFD methods to analyse incompressible flow
(cognitive - applying, level 4)
• LO4: Apply CFD methods to analyse inviscid compressible flow
(cognitive - applying, level 4)
Programme Outcomes:
• PO5- Conduct investigation and research on complex engineering problems in the chosen field of study.
• PO 6 - Create, select and apply appropriate techniques, resources, and modern engineering and IT tools to complex engineering activities
Tutorial /
Assignment
30% • Software applications
• Focus group discussion To enhance understanding of basic concepts in lecture
8. Details of
Subject
Test /Quiz
Final Exam
Topics
•
•
Written exam
Written exam
10%
60%
Hours

9. Teaching and
Learning
Activities
10. Laboratory
Introduction
Basic philosophy of Computational Fluid Dynamics
(CFD). Some actual examples of using CFD in industry.
Classification of partial differential equations.
Mathematical behaviour of elliptic, parabolic and hyperbolic equations and the corresponding physical behaviour of the flow field. Review of the governing equations of fluid dynamics. Conservation form and nonconservation form of the governing equations.
Nondimensional form of the governing equations.
Boundary and initial conditions.
General Finite Difference Method
Finite difference approximation of first, second and mixed partial derivatives. Stability, consistency, convergence and Lax equivalence theorem. Elliptic equations with direct and iterative solutions. Parabolic equations with explicit and implicit schemes. Hyperbolic equations with explicit and implicit schemes. Numerical dissipation, dispersion and artificial viscosity.
Discretization of Fluid Flow Domain
Transformation of the governing partial differential equations.
Metrics and Jacobians of transformation.
Grid generation using algebraic grid generation technique and elliptic grid generation technique.
Burgers Equations
Nonlinear viscous Burgers equation and its relation to
Navier-Stokes Equation. Nondimensional form of viscous Burgers equation. Linearization of Burgers equation. Solution of Burgers equation using CFD techniques
Numerical Solution of Incompressible Flow
Implicit Crank-Nicolson method. Thomas Algorithm.
Pressure correction method.
Numerical solution of
Couette flow and flow over a flat plate. Comparison of the numerical solution with the exact analytical solution.
Numerical Solution of Inviscid Compressible Flow
Shock tube problem.
Quasi-linear form of the onedimensional Euler equations. Homogeneous property of the first-order hyperbolic system. Diagonalisation of the flux Jacobian matrix. Shock capturing using flux vector splitting technique. Comparison of the numerical solution with the exact analytical solution.
This subject will be delivered using the following means:
• Lecture Hours = 42 hours
• Supervised Tutorial Hours = 6
Total Contact Hours = 48
None
3
14
5
6
7
7

11. Reading
Material
Textbook
Reference
Materials
1. R. Pletcher, J. Tannehill and D. Anderson,
“Computational Fluid Mechanics and Heat Transfer”, 3 rd
Edition, Taylor and Francis, 2011.
1. Anderson, J.D., “Computational Fluid Dynamics: the
Basics with Applications”, McGraw-Hill, 1995.
2. -
3. Ferziger, J.H. and Peric, M., “Computational Methods
For Fluid Dynamics”, Springer-Verlag, 3 rd Edition,
2001.
4. Chattot, J.J., “Computational Aerodynamics and Fluid
Dynamics: An Introduction” , Springer-Verlag, 2002.
5. P.J. Roache, ‘Computational Fluid Dynamics’,
Albuquerque, N.M., Hermosa publishers, 1999.