# Introduction to CFD

By Prof. Arnab Roy   |   IIT Kharagpur
Learners enrolled: 2841
This course is introductory in nature and expected to impart firsthand knowledge of CFD. It is mainly aimed for senior undergraduate students/ first year post graduate students in Aerospace, Mechanical, Applied Mechanics, Applied Mathematics and allied streams. It is concerned with application of numerical methods for solving conservation equations of fluid dynamics. The subject will be taught with the objective of motivating students to develop their own computer codes. With a long experience of teaching both introductory and advanced courses in CFD to UG, PG and PhD students, I strongly feel that this is the best way to learn CFD.

INTENDED AUDIENCE
Aerospace Engineering/ Mechanical Engineering/ Applied Mechanics Applied Mathematics and allied disciplines
PREREQUISITES Basic course on Fluid Mechanics and Numerical Methods
INDUSTRIES  SUPPORT     : This introductory course on computational fluid dynamics (CFD) could be appropriate for new recruits in aerospace research laboratories like NAL, DRDL, ADA, ADE, HAL and private industry. Additionally, large number of industries in Mechanical engineering domain dealing with thermal and fluid mechanics applications would find it useful.
Summary
 Course Status : Completed Course Type : Elective Duration : 12 weeks Start Date : 14 Sep 2020 End Date : 04 Dec 2020 Exam Date : 19 Dec 2020 IST Enrollment Ends : 25 Sep 2020 Category : Aerospace Engineering Credit Points : 3 Level : Undergraduate/Postgraduate

### Course layout

Week 1: Governing conservations equations of fluid flow and classification of system of partial differential equations (PDEs)
Week 2: Methods for approximate solution of PDEs: brief overview of finite difference, finite volume and finite element approaches
Week 3: Taylor table approach for constructing finite difference schemes of arbitrary orders of accuracy, implementation of schemes near boundaries
Week 4: Numerical solution of steady state heat conduction (Elliptic PDE) using various explicit and implicit schemes, implementation of boundary conditions, mesh dependence and convergence of solution
Week 5: Numerical solution of unsteady heat conduction (Parabolic PDE) using various schemes, implementing initial and boundary conditions, stability analysis, multi-dimensional implementation
Week 6: Numerical solution of linear wave equation (Hyperbolic PDE) using various schemes, artificial viscosity, diffusion and dispersion error, stability analysis
Week 7: Numerical solution of one dimensional convection-diffusion equation
Week 8: Numerical solution of two dimensional incompressible Navier Stokes equations
Week 9: Numerical solution of one dimensional Euler equation for shock tube problem
Week 10:Basics of interface capturing methods for application in multiphase flow
Week 11:Basics of turbulence modeling
Week 12:Structured and unstructured grid generation

### Books and references

1.Computational Fluid Dynamics, K. A. Hoffmann and S. T. Chiang, Engineering Education System, 2000
2.Numerical Computation of Internal and External Flows: The Fundamentals of Computational Fluid Dynamics, Charles Hirsch,Butterworth-Heinemann, 2nd edition, 2007
3.A First Course in Aerodynamics: A. Roy, Ventus Publishing, Denmark, 2012 (https://bookboon.com/en/a-first-course-on-aerodynamics-ebook)

### Prof. Arnab Roy

IIT Kharagpur
1. I am currently working as Professor at the Department of Aerospace Engineering, IIT Kharagpur. The above weblink provides my research details. 2. I have taught various courses covering Aerodynamics, introductory and advanced courses in CFD, Wind Tunnel Design and Testing as well as a few courses in Aerospace Propulsion at IIT Kharagpur to UG/ PG and PhD students.On almost all occasions I have received an overall student feedback rating between 4 and 5 (on a scale of 5). In all, I have about 16 years teaching experience at UG and PG levels combined. 3. My research interests include computational and experimental fluid dynamics. I am also involved in aerospace propulsion research. I have undertaken and executed projects for different organizations like AOARD (Japan), Boeing (USA), AR&DB, DLJ-DRDO, RDSO, ISRO, DST etc 4. I have delivered several CFD related invited lectures at GE Aviation JFWTC, Bangalore (2019); CFD Workshop, BITS Pilani Hyderabad campus (2016); 13th Aeronautical Society of India Annual CFD Symposium at IISc Bangalore (2011),Indo US INDUS-MAV Workshop at Bangalore,organized by NAL and ADE Bangalore (2009) etc.

### 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: 19 December 2020, 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.

CRITERIA TO GET A CERTIFICATE:
• 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 Kharagpur. It will be e-verifiable at nptel.ac.in/noc.
•Only the e-certificate will be made available. Hard copies will not be dispatched.