Syllabus

Module1: Introduction to Computational Fluid Dynamics [7 hours]
Three approach world, CFD and Application to different Branch of Science and Engineering
Governing equations for fluid flow: Continuity equation, momentum equation and energy equation

Module 2: Finite difference approach: [ 8 hours]
Classification of partial differential equations, Parabolic, Hyperbolic and elliptic equations,
Discretisations of the 1-Dimensional, 2-Dimensional partial differential equations and its solutions. Finite difference formulations,

Module 3: Finite difference method: [8 hours]
Introduction, discretization methods, consistency, error and stability analysis, fundamentals of fluid flow modeling, Finite difference solutions and applications:

Module 4: Solution of Governing equations: [7 hours]
Navier-Stokes equation, continuity equations for incompressible flows.
Explicit finite difference schemes, implicit finite difference schemes, Initial and Boundary conditions, significance of model boundary conditions.

Module 5: Meshing and stability analysis: . [6 hours]
Grid generation techniques and Von Neumann Stability analysis , Solution of Governing equations and Application to different fluid flow problems with stability analysis.

Provide knowledge on application of computational fluid mechanics to different branch of engineering and science

Provide knowledge on conservation law and the numerical approach to solve by converting different form of partial differential equation to algebraic equations.

Provide some experience in the software engineering skills associated with the implementation of these techniques in practical MATLAB computer codes.

Illuminate some of the difficulties like consistency, convergence and stability check that is encountered in the numerical solution of fluid flow problems.

CO1: Understand various applications of CFD and apply numerical methods to solve partial differential equations.
CO2: Understand the fundamentals of fluid dynamics and the governing equations.
CO3: Implement finite difference methods for fluid flow problems.
CO4: Solve incompressible fluid flow problems using the Basic fluid flow equations.
CO5: Analyze grid generation techniques, apply boundary conditions, and check the numerical solutions through stability analysis.

K. A Hoffmann, Computational Fluid Dynamics, Engineering Education System, 2000 , Details of the course

J.D. Anderson, Computational Fluid Dynamics, Springer,USA, 2nd edition, 2008 , Details of the course

M.B. Abbott and D.R. Basco, Computational Fluid Dynamics, Cambridge university press , More on application of CFD

Vreugdenhil, Cornelis B, Computational Hydraulics An Introduction, Springer , More on application of CFD