Media Storage Type : 32 GB USB Stick
NPTEL Subject Matter Expert : Prof. S. Chakraborty
NPTEL Co-ordinating Institute : IIT Kharagpur
NPTEL Lecture Count : 60
NPTEL Course Size : 5.9 GB
NPTEL PDF Text Transcription : Available and Included
NPTEL Subtitle Transcription : Available and Included (SRT)
Lecture Titles:
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