Courses » Introduction to Finite Volume Methods I

Introduction to Finite Volume Methods I


The Finite Volume Method (FVM) is one of the widely used numerical techniques in the scientific community and in industry as well. In this approach, the partial differential equations that represent the conservation laws to simulate fluid flow, heat transfer, and other related physical phenomena, are transformed over differential volumes into discrete algebraic equations over finite volumes (or elements or cells). Thereafter, the system of algebraic equations is solved to compute the values of the dependent variable for each of the elements to represent the physical processes.

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Final Exam (in-person, invigilated, currently conducted in India) is mandatory for Certification and has INR Rs. 1100 as exam 

Senior undergraduate students and postgraduate students of Mechanical, Aerospace and Chemical Engineering


UG/PG: UG (Final Year as an Elective), PG

PREREQUISITES: Fluid Mechanics, Basic Programming, Linear Algebra, PDEs

INDUSTRY SUPPORT:Aerospace, Automobile, Chemical and Power Generation and Defense Industries

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Dr. Ashoke De is currently working as Associate Professor in the Department of Aerospace Engineering at Indian Institute of Technology Kanpur. He leads large scale initiatives in the modeling of turbulent reacting and non-reacting flows at IIT Kanpur. So far, he has authored more than 90 peer reviewed articles in journals and conferences. His primary research focus is the emerging field of computational mechanics with particular interest in combustion and turbulent flows.


Week 1 : Introduction+ Classification of PDEs + Governing Equations
Week 2 : Governing Equations (contd.)+ Discretization process + Taylor Series
Week 3 : Derivatives + Errors
Week 4 : FVM Methods
Week 5 : FVM Mesh
Week 6 : Discretization of Diffusion Equations - Structured
Week 7 : Discretization of Diffusion Equations - Unstructured
Week 8 : Gradient Calculation


1. Patankar, S. V. , Numerical Heat Transfer and Fluid Flow, McGraw-Hill, NewYork,1980.
2. Chung, T. J., Computational Fluid Dynamics, Cambridge University Press, 2002.
3. Ferzziger, J.H., and Peric, M.,Computational Methods for Fluid Dynamics, Springer, 2002.
4. Versteeg, H. K., and Malalasekera, W., An Introduction to Computational Fluid Dynamics, Longman Scientific and Technical, 1995.
5. Moukalled, F., Mangani, L., Darwish, M.,The Finite Volume Method in Computational Fluid Dynamics, Springer
  • The exam is optional for a fee.
  • Date of Exams : October 28,2018 (Sunday)
  • Time of Exams : Morning session 9am to 12 noon; Afternoon session: 2pm to 5pm
  • Exam for this course will be available in both morning & afternoon sessions.
  • 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.


  • Final score will be calculated as : 25% assignment score + 75% final exam score
  • 25% assignment score is calculated as 25% of average of Best 6 out of 8 assignments.
  • E-Certificate will be given to those who register and write the exam and score greater than or equal to 40% final score. 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 Kanpur.It will be e-verifiable at nptel.ac.in/noc.