Foundation of Computational Fluid Dynamics

By Prof. Vengadesan   |   IIT Madras
Learners enrolled: 1014
This is an introductory course in CFD. In this course, students will be exposed to basics of CFD. Students will gain knowledge on FD/ FV strategy, formulation of the problem and solution techniques. Students at the end of the course will get to experience a simple and sample working CFD code and thus develop confidence. 

Course Status : Completed
Course Type : Elective
Duration : 8 weeks
Category :
  • Mechanical Engineering
  • Computational Thermo Fluids
Credit Points : 2
Level : Undergraduate
Start Date : 25 Jul 2022
End Date : 16 Sep 2022
Enrollment Ends : 08 Aug 2022
Exam Date : 25 Sep 2022 IST

Note: This exam date is subjected to change based on seat availability. You can check final exam date on your hall ticket.

Page Visits

Course layout


Module1: Introduction

Module 2: Review of basic fluid mechanics

Module 3: Review of equations and importance of terms

Module 4: Review of equations (contd.) and non-dimensionalization

Module 5: Vorticity-Stream function equation, classification of equation and the solution nature

Module 6: Classification of equations (contd.), types of boundary conditions and

description about standard test cases.


Module 1: Steps involved in CFD, Information about Computational domain and grid with illustration

Module 2: Information about grid (contd.); Taylor’s series expansion

Module 3: Taylor’s series expansion, CD / FD / BD for first & second derivative;

Module 4: FD formula for non-uniform mesh; mixed derivative

Module 5: Derivation for higher derivative; FD formula by Polynomial procedure


Module 1: Different Approximation Methods

Module 2: Properties associated with discretization

Module 3: Errors due to approximation and their analysis – consistency, convergence

Module 4: Stability analysis

Module 5: FD formulation for model equations and explanation

Week 4

Module 1: FV formulation for diffusion equation – 1D

Module 2: Example and extension to 2D and 3D

Module 3: FV formulation for convection and diffusion equation

Module 4 & 5: Treatment of convective terms - different interpolations

Week 5

Module 1 & 2: Illustration on the performance by different approximation for convection terms

Module 3: Time integration methods

Module 4: Arrangement of variables; Introduction to Pressure velocity coupling, MAC

Module 5: SIMPLE

Module 6: Variants of SIMPLE, Projection Method

Week 6

Module 1: Introduction to Turbulent flows

Module 2: Deriving governing equations

Module 3: Reynolds stresses, modeling strategy

Module 4 & 5: Introduction to Standard models and explanation

Week 7

Module 1: Matrix inversion – Direct, Iterative procedure

Module 2: Direct solver / Iterative solver

Module 3 - 5: Iterative solver

Week 8

Module 1 - 5: Demonstration of a test case with a display of working CFD code and details

Thanks to the support from MathWorks, enrolled students have access to MATLAB for the duration of the course.

Books and references

  1. Anderson, D.C., J.C, Tannehil, and R.H.Fletcher, Computational Fluid Mechanics, Hemisphere Publishing Corporation, NewYork.
  2. Ferziger, J.H. and M.Peric, Computational Methods for Fluid Dynamics, Springer, 3rd Edition, 2002
  3. Versteeg, H.K. and W.Malalasekera, An Introduction to Computational Fluid Dynamics – The Finite Volume method, Second Edition, 2007.
  4. Chung, T.J., Computational Fluid Dynamics, Cambridge University Press, 2002.

Instructor bio

Prof. Vengadesan

IIT Madras
The instructor Prof.Vengadesan did B.E (Hons.) in Mechanical Engineering from NITT, MS (by Research) from IITM and PhD from Kobe University, Japan. He has been teaching various UG and PG courses related to Fluid Mechanics at IITM since 2003. His areas of research interests are CFD, Turbulent flows and modeling, Application of these techniques for different theoretical and industry problems, insect aerodynamics and biofluid dynamics. He has so far guided 6 PhD and 21 MS, and currently guiding 9 PhD and 5 MS. He carries out sponsored research projects from ARDB, DST, CSIR and NRB and also consultancy projects.

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: 25 September 2022 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.


Average assignment score = 25% of average of best 6 assignments out of the total 8 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Madras. It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team

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