Computational Fluid Dynamics using Finite Volume Method

By Prof. Kameswararao Anupindi   |   IIT Madras
Learners enrolled: 330
In this course, the discretization and solution of diffusion, convection-diffusion, and incompressible fluid flow equations are discussed. Finite volume method is used to discretize each of the equations. The discretization and solution methods are formulated on structured as well as unstructured meshes. This course involves hand-calculations on simple meshes as well as numerical programming of the algorithms discussed.

Bachelors, masters and doctoral students, practicing scientists and engineers from industry.
PREREQUISITES Courses on linear algebra, numerical methods, incompressible fluid mechanics, and heat transfer
INDUSTRIES  SUPPORT     : General Electric, General Motors, ANSYS, ISRO, DRDO
Course Status : Upcoming
Course Type : Elective
Duration : 12 weeks
Start Date : 26 Jul 2021
End Date : 15 Oct 2021
Exam Date : 24 Oct 2021
Enrollment Ends : 02 Aug 2021
Category :
  • Mechanical Engineering
  • Computational Engineering
  • Computational Thermo Fluids
Credit Points : 3
Level : Undergraduate/Postgraduate

Course layout

Week 1:Review of governing equations
Week 2:Classification of governing equations
Week 3: Overview of numerical solution methods
Week 4:Steady diffusion equation on structured meshes
Week 5:Unsteady diffusion equation on structured meshes
Week 6:Diffusion in unstructured meshes
Week 7: Convection and diffusion
Week 8:Higher-order schemes
Week 9:Convection and diffusion on unstructured meshes
Week 10:Linear system solvers
Week 11: Incompressible flow field calculation
Week 12:Staggered and co-located formulation

Books and references

1. Numerical Heat Transfer and Fluid Flow, Suhas V. Patankar, Hemisphere, New York, 1980.
2. An Introduction to Computational Fluid Dynamics - The Finite Volume Method, H. K. Versteeg and W. Malalasekra, Pearson Education, 2017.
3. Computational Fluid Dynamics, T. J. Chung, Cambridge University Press, 2010.
4. The Finite Volume Method in Computational Fluid Dynamics, F. Moukalled, L. Mangani, M. Darwish, Springer, 2015
5. Computational Methods for Fluid Dynamics, J. H. Ferziger and M. Peric, Springer, 2002

Instructor bio

Prof. Kameswararao Anupindi

IIT Madras
Dr. Kameswararao Anupindi is an Assistant Professor in the Department of Mechanical Engineering at IIT Madras (IITM), Chennai. He obtained his Ph.D. from Purdue University in 2013. Prior to joining IITM, he worked as a post-doctoral researcher at Oak Ridge National Laboratory and at University of Southampton. His research interests include computational fluid dynamics, turbulence modeling and lattice Boltzmann methods.

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: 24 October 2021 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 8 assignments out of the total 12 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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