Course Details
Subject {L-T-P / C} : CE6403 : Computational Fluid Dynamics { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Prof. Kishanjit Kumar Khatua
Syllabus
Introduction to Computational Fluid Dynamics, Application to different Branch of Science and Engineering, Governing equations for fluid flow: Continuity equation, momentum equation and energy equation,
Finite difference approach, 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, Finite difference method: introduction, discretization methods, consistency, error and stability analysis, fundamentals of fluid flow modeling
Finite difference applications, Solution of Navier-Stokes equation for incompressible flows using SIMPLE algorithm
Explicit finite difference schemes, implicit finite difference schemes, Initial and Boundary conditions, significance of model boundary conditions, review of applied numerical methods
Grid generation techniques, Von Neumann Stability analysis. Solution of Governing equations and Application to different fluid flow problems.
Course Objectives
- 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.
Course Outcomes
At the end of the course student can <br />1. Understand the governing equations based on conservation principals in fluid flow problems <br />2. Able to know the use of finite difference method applied to fluid flow problems <br />3.Able to check the output from numerical method as compared to the observed data
Essential Reading
- 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
Supplementary Reading
- 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