Anna University: M.E Internal Combustion Engines Syllabus

Are you looking for M.E Regulation 2009 curriculum and syllabus for the course IC Engines? Here's a list of subjects with syllabus. Go on to get!

University: Anna University

Course: M.E Internal Combustion Engineering

Regulation: 2013

Semester: 1 to 4 (I to IV)

First (1st) Semester

Subjects: (Theory)

1. MA7169 - Advanced Numerical Methods
2. TE7101 - Advanced Heat Transfer
3. IC7101 - Thermodynamics for IC Engineering
4. IC7102 - Alternative Fuels for IC Engines
5. IC7103 - Combustion and Emission in Engines

Subjects (Practical): IC7111 - I.C. Engineering Practices Laboratory

Syllabus for MA7169 - Advanced Numerical Methods

MA7169                  ADVANCED NUMERICAL METHODS                     L T P C          3 1 0 4

OBJECTIVES: To impart knowledge on numerical methods that will come in handy to solve numerically the problems that arise in engineering and technology. This will also serve as a precursor for future research.

UNIT I ALGEBRAIC EQUATIONS (9+3)

Systems of linear equations: Gauss Elimination method, pivoting techniques, Thomas algorithm for

tridiagonal system – Jacobi, Gauss Seidel, SOR iteration methods - Systems of nonlinear equations:

Fixed point iterations, Newton Method, Eigenvalue problems: power method, inverse power method,

Faddeev – Leverrier Method.

UNIT II ORDINARY DIFFERENTIAL EQUATIONS (9+3)

Runge Kutta Methods for system of IVPs, numerical stability, Adams-Bashforth multistep method,

solution of stiff ODEs, shooting method, BVP: Finite difference method, orthogonal collocation

method, orthogonal collocation with finite element method, Galerkin finite element method.

UNIT III FINITE DIFFERENCE METHOD FOR TIME DEPENDENT PARTIAL DIFFERENTIAL

EQUATION (9+3)

Parabolic equations: explicit and implicit finite difference methods, weighted average approximation - Dirichlet and Neumann conditions – Two dimensional parabolic equations – ADI method; First order

hyperbolic equations – method of characteristics, different explicit and implicit methods; numerical

stability analysis, method of lines – Wave equation: Explicit scheme- Stability of above schemes.

UNIT IV FINITE DIFFERENCE METHODS FOR ELLIPTIC EQUATIONS (9+3)

Laplace and Poisson’s equations in a rectangular region: Five point finite difference schemes,

Leibmann’s iterative methods, Dirichlet and Neumann conditions – Laplace equation in polar

coordinates: finite difference schemes – approximation of derivatives near a curved boundary while

using a square mesh.

UNIT V FINITE ELEMENT METHOD (9+3)

Partial differential equations – Finite element method - orthogonal collocation method, orthogonal

collocation with finite element method, Galerkin finite element method.

TOTAL : 60 PERIODS

OUTCOME:

It helps the students to get familiarized with the numerical methods which are necessary to solve

numerically the problems that arise in engineering.

REFERENCES

1. Saumyen Guha and Rajesh Srivastava, “Numerical methods for Engineering and Science”, Oxford

Higher Education, New Delhi, 2010.

2. Gupta S.K., “Numerical Methods for Engineers”, New Age Publishers, 1995

3. Burden, R.L., and Faires, J.D., “Numerical Analysis – Theory and Applications”, Cengage

Learning, India Edition, New Delhi, 2009.

4. Jain M. K., Iyengar S. R., Kanchi M. B., Jain , “Computational Methods for Partial Differential

Equations”, New Age Publishers,1993.

5. Morton K.W. and Mayers D.F., “Numerical solution of partial differential equations”, Cambridge

University press, Cambridge, 20

Note: L represents Lecture hours, P-Practical hours, T-Tutorial hours, C-Credits. The number given is per week.

Share This