ME 1804 E3: COMPUTATIONAL FLUID DYNAMICS 

Syllabus

Module-I
Classification of partial differential equations – system of first and second order partial differential equations – initial and boundary conditions – finite difference formulations – finite difference equations – finite difference 
approximation of mixed partial derivatives. 

Module-II 
Parabolic partial differential equations – explicit methods – implicit methods – parabolic equation in two space dimensions – consistency, stability and error analysis of finite difference equations – artificial viscosity.

Module-III 
Elliptic equations – finite difference formulations – solution algorithms – finite difference formulations – splitting methods – multiple step methods. 

Module-IV 
Scalar representation of the Navier-Stokes equations – model equations – numerical algorithms – incompressible Navier-Stokes equation – primitive variable and vorticity -stream function formulations – Poisson equation for pressure – numerical algorithms – boundary conditions – staggered grids. 

Reference: 
1) Computational Fluid Dynamics, Anderson 
2) Computational Fluid Dynamics for Engineers, Hoffmann Klaus 
3) Introduction to Finite Volume Method, Malalasekhar & Veerstag 
4) Computational Fluid Flow and Heat Transfer, Sundararajn & Muralidhar, Narosa. 
5) Computational Technique for Fluid Dynamics, Fletcher, Springer Verlag 
6) Numerical Heat Transfer and Fluid Flow, Patankar Suhas 

Type of Questions for University Examination
Q1. Eight short answer questions of 5 marks each with two questions from each of the four modules. (8x5 = 40 marks) 
Q2 to Q5 : Two questions A & B of 15 marks from each module with option to answer either A or B. (4x15 = 60 mark)