ME 704 – Computational Methods in Thermal and Fluids Engineering

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Course Policy

Course Schedule

Readings

Lecture Notes / Slides

Assignments

Course Policies

Course Description:

Course Contents Preliminaries Solution of Non-Linear Equations, Solution of a system of Linear and non-linear equations, Interpolation and Regression, Solution of Ordinary Differential Equations Partial Differential Equations Governing transport equations for mass, momentum and energy in compressible and incompressible flows Preliminaries Classification of first order and second order partial differential equations based on characteristics, representation of partial derivatives using finite differences, modified partial differential equation, consistency of a numerical scheme, order of accuracy, dispersion and dissipation, stability of numerical schemes, Von-Neumann stability analysis Finite Difference Methods for the Solution of Model Navier-Stokes Equations Numerical schemes for the solution of heat equation, linear and nonlinear Burger’s equation, transport equation Methods of Solutions for Navier-Stokes Equations Stream function-vorticity approach, pressure based and density based solution approaches General Coordinate Systems and Grid Generation Methods Generalized coordinate transformations, methods used for generating structured body fitted coordinates

Texts:

S. Chapra and R. Canale, Numerical Methods for Engineers, Fifth Edition, McGraw Hill, 2005 J.D. Anderson, Computational Fluid Dynamics- The basics with applications, McGraw Hill, 1995. D.A. Anderson, J.C. Tannehill and R.H. Pletcher, Computational Fluid Mechanics and Heat Transfer, II Ed., McGraw Hill, 1997 S.V. Patankar, Numerical Heat Transfer and Fluid Flow, Hemisphere Publ., 1980. A.W. Date, Introduction to Computational Fluid Dynamics, Cambridge, 2005. K. Hoffman, S. Chiang Computational Fluid Dynamics for Engineers- Vols. 1,2. Engineering Education System, Wichita, Kansas, 1993.

Grading:

Homework	30%
Mid-Sem	30%
Final Exam	40%

All handwritten homework must be completed in suitable white paper and will include the following.

Given information

Information to be found

Logic used (with block diagrams, where possible in programming exercises)

Results with figures, where needed

Discussion/Conclusions

Be sure that the name of the submitter, due date and assignment number are included.

Computer output is acceptable for programs, numeric output, and graphical results. Homework may be completed using any software.

Exams: The dates for the mid-semester and final examinations would be announced as and when the information is released by the department Time-Table coordinator. The final end-semester test will be a comprehensive one covering the entire course. Please note that no make-up exams will be conducted.

Both tests will be closed book. Only class notes will be allowed.

Honesty Policy: It is very important to display academic integrity in your class assignments and exams. While it is appropriate and encouraged to work together on homework assignments, each person must turn in a homework assignment that shows original work to receive credit. Exams must be taken without the assistance of others.

Cheating in class assignment will result in suitable punishment depending on the nature of the offence. However, incidents of copying in the exam will lead to a minimum penalty of FF. The matter may be referred to DAC for final quantum of punishment, if required.

Course Web Page: Students can access homework assignments on the course web page. Announcements that pertain to the class will also be posted. The URL of the Course Home Pageis http://www.me.iitb.ac.in/~kiyer/me704/index.html

Department of Mechanical Engineering, Indian Institute of Technology – Bombay.