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Courses » Foundation of Computational Fluid Dynamics

Foundation of Computational Fluid Dynamics

ABOUT THE COURSE
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.

4216 students have enrolled already!!

COURSE INSTRUCTOR:


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 had so far guided 3 PhD and 13 MS and currently guiding 5 PhD and 5 MS. He carries out sponsored research projects from ARDB, DST, CSIR and NRB and also consultancy projects.

Pre-requisites:
Basic fluid mechanics, Numerical Techniques /methods, some programming skills


COURSE SYLLABUS

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.

CERTIFICATION EXAM

The exam is optional.
Exams will be on 6 September 2015 and 13 September, 2015. 
Time: 1pm-4pm
The list of cities where the exam will be conducted will be available in the registration form.

Registration url: Announcements will be made when the registration form is open for registrations, most likely in July 2015. 
The online registration form has to be filled and the certification exam fee of Rs 1000, needs to be paid.

CERTIFICATE
Certificate will be given to those who register and write the exam. Certificate will have your name, photograph and the score in the final exam. 
It will also have the logos of NPTEL and IIT Madras. It will also be e-verifiable on the nptel.ac.in/noc website.

SYLLABUS OUTLINE

Week1

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



Reference Text Books

  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.