Foundation of computational fluid dynamics

Course Syllabus

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.

Week2

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

Week3

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

Suggested Reading

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

CERTIFICATION EXAM

• The exam is optional for a fee. Exams will be on 24 September 2017.
• Time: Shift 1: 9am-12 noon; Shift 2: 2pm-5pm
• Any one shift can be chosen to write the exam for a course.
• 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.

CERTIFICATE

• Final score will be calculated as : 25% assignment score + 75% final exam score
• 25% assignment score is calculated as 25% of average of 8 weeks course: 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 MADRAS . It will be e-verifiable at nptel.ac.in/noc