**# playlist of the 47 videos (click the up-left corner of the video)**

source: nptelhrd 2012年7月16日

Chemical - Computational Fluid Dynamics by Prof. Sreenivas Jayanti, Department of Chemical Engineering, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in

Lec-01 Motivation for CFD and Introduction to the CFD approach 57:29

Lec-02 Illustration of the CFD approach through a worked out example 52:54

Lec-03 Eulerian approach, Conservation Equation, Derivation of Mass Conservation Equation 55:29

Lec-04 Eulerian approach, Conservation Equation, Derivation of Mass Conservation Equation 1:00:34

Lec-05 Forces acting on a control volume; Stress tensor; 1:05:40

Lec-06 Kinematics of deformation in fluid flow; Stress vs strain rate relation 1:01:26

Lec-07 Equations governing flow of incompressible flow; 55:15

Lec-08 Cut out the first 30s; Spatial discretization of a simple flow domain; 57:57

Lec-09 Finite difference approximation of pth order of accuracy for qth order derivative; 54:18

Lec-10 One-sided high order accurate approximations,Explicit and implicit formulations 54:39

Lec-11 Numerical solution of the unsteady advection equation using different finite. 53:44

Lec-12 Need for analysis of a discretization scheme; Concepts of consistency 1:03:42

Lec-13 Statement of the stability problem 1:00:19

Lec-14 Consistency and stability analysis of the unsteady diffusion equation 54:26

Lec-15 Interpretation of the stability condition,Stability analysis of the generic scalar equ 1:01:27

Lec-16 Template for the generic scalar transport equation and its extension to the solution 49:27

Lec-17 Illustration of application of the template using the MacCormack scheme 59:05

Lec-18 Stability limits of MacCormack scheme 46:05

Lec-19 Artificial compressibility method and the streamfunction-vorticity method 46:39

Lec-20 Pressur e equation method for the solution of NS equations 44:34

Lec-21 Pressure-correction approach to the solution of NS equations on a staggered grid 1:11:07

Lec-22 Need for effici ent solution of linear algebraic equations 1:06:18

Lec-23 Direct methods for linear algebraic equations; Gaussian elimination method 39:38

Lec-24 Gauss-Jordan method; LU decomposition method; TDMA and Thomas algorithm 1:03:39

Lec-25 Basic iterative methods for linear algebraic equations: Description of point -Jacobi 49:43

Lec-26 Convergence analysis of basic iterative schemes,Diagonal dominance condition 53:39

Lec-27 Application to the Laplace equation 29:28

Lec-28 Advanced iterative methods: Alternating Direction Implicit Method; Operator splitting 48:51

Lec-29 Advanced iterative methods,Strongly Implicit Procedure,Conjugate gradient method 1:01:10

Lec-30 Illustration of the Multigrid method for the Laplace equation 38:08

Lec-31 Overview of the approach of numerical solution of NS equations for simple domains29:02

Lec-32 Derivation of the energy conservation equation 51:12

Lec-33 Derivation of the species conservation equation; dealing with chemical reactions 47:06

Lec-34 Turbulence,Characteri stics of turbulent flow,Dealing with fluctuations 1:03:59

Lec-35 Derivation of the Reynolds -averaged Navier -Stokes equations 54:48

Lec-36 Reynol ds stresses in turbulent flow,Time and length scales of turbulence 1:00:41

Lec-37 One-equation model for turbulent flow 50:27

Lec-38 Two -equation model for turbulent flow; Numerical calculation of turbulent 1:01:23

Lec-39 Calculation of near-wall region in turbulent flow; wall function approach 54:45

Lec-40 Need for special methods for dealing with irregular fl ow geometry 50:56

Lec-41 Transformation of the governing equations; Illustration for the Laplace equation 51:59

Lec-42 Finite volume method for complicated flow domain 47:57

Lec-43 Finite volume method for the general case 57:42

Lec-44 Generation of a structured grid for irregular flow domain; Algebraic methods 58:47

Lec-45 Unstructured grid generation,Domain nodalization 53:31

Lec-46 Delaunay triangulation method for unstructured grid generation 55:34

Lec-47 Co -located grid approach for irregular geometries; Pressure correction equations 55:09

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