NOC:Computational Fluid Dynamics

Lecture 1 - Intoduction to CFD

Lecture 2 - Classification of partial differential equations

Lecture 3 - Examples of partial differential equations

Lecture 4 - Examples of partial differential equations (Continued...)

Lecture 5 - Nature of the characteristics of partial differential equation

Lecture 6 - Euler-Lagrangian equation

Lecture 7 - Approximate Solutions of Differential Equations

Lecture 8 - Variational formulation

Lecture 9 - Example of variational formulation and introduction to weighted residual method

Lecture 10 - Weighted residual method (Continued...)

Lecture 11 - Point Collocation method, the Galerkin's method and the 'M' form

Lecture 12 - Finite element method (FEM) of discretization

Lecture 13 - Finite element method of discretization (Continued...)

Lecture 14 - Finite difference method (FDM) of discretization

Lecture 15 - Well posed boundary value problem

Lecture 16 - Finite volume method (FVM) of discretization

Lecture 17 - Illustrative examples of finite volume method

Lecture 18 - Illustrative examples of finite volume method (Continued...)

Lecture 19 - Basic rules of finite volume discretization

Lecture 20 - Implementation of boundary conditions in FVM

Lecture 21 - Implementation of boundary conditions in FVM (Continued...)

Lecture 22 - 1-D Unsteady state diffusion problem

Lecture 23 - 1-D Unsteady state diffusion problem (Continued...)

Lecture 24 - Consequences of Discretization of Unsteady State Problems

Lecture 25 - FTCS scheme

Lecture 26 - CTCS scheme (Leap frog scheme) and Dufort-Frankel scheme

Lecture 27 - Part 1: FV Discretization of 2-D Unsteady State Diffusion Type problems; Part 2: Solution to linear algebraic equations

Lecture 28 - Solution to linear algebraic equations (Continued...)

Lecture 29 - Elemination methods

Lecture 30 - Gaussian elemination and LU Decomposition methods

Lecture 31 - Illustrative example of elemination method

Lecture 32 - Tri-Diagonal Matrix Algorithm (TDMA)

Lecture 33 - Elimination Methods: Error Analysis

Lecture 34 - Elimination Methods: Error Analysis (Continued...)

Lecture 35 - Iteration methods

Lecture 36 - Generalized analysis of Iteration method

Lecture 37 - Further discussion on Iterative methods

Lecture 38 - Illustrative examples of Iterative methods

Lecture 39 - Gradient Search based methods

Lecture 40 - Steepest descent method (Continued...)

Lecture 41 - Conjugate gradient method

Lecture 42 - Convection diffusion equation

Lecture 43 - Central difference scheme applied to convection-diffusion equation

Lecture 44 - Upwind scheme

Lecture 45 - Illustrative examples

Lecture 46 - Exact solution of 1-D steady state convection diffusion equation (Continued...)

Lecture 47 - Exponential scheme

Lecture 48 - Generalized convection diffusion formulation

Lecture 49 - 2-D convection diffusion problem

Lecture 50 - False (numerical) diffusion scheme and the QUICK scheme

Lecture 51 - Discretization of Navier Stokes equation

Lecture 52 - Discretization of Navier Stokes equation (Continued...)

Lecture 53 - Concept of staggered grid

Lecture 54 - SIMPLE algorithm

Lecture 55 - Salient features of SIMPLE algorithm

Lecture 56 - Illustrative examples on the use of SIMPLE algorithm

Lecture 57 - SIMPLER algorithm

Lecture 58 - Illustrative examples of SIMPLER algorithm

Lecture 59 - What is there in implementing a CFD Code

Lecture 60 - Some representative case studies