Unit I

Classification of partial differential equations. Discretization methods. Finite difference and finite vol­ume formulations.

Unit II

Numerical solution of elliptical equations. Linear system of algebraic equations.

Unit III

Numerical solution of parabolic equations. Stability analysis.

Unit IV

Numerical solution of hyperbolic equations. Burgers equation.

Unit V

Incompressible Navier-Stokes equations and algorithms. Basics of grid generation.


1. Tannehill, J.e., Anderson, D.A., and Pletcher, R.H., Computational Fluid Mechanics and Heat Transfer, 2nd ed., Taylor & Francis, 1997.
2. Hoffmann, K.A. and Chiang, S.T., Computational Fluid Dynamics for Engineers, Engineering Education Systems, 2000.