Sreenivas Jayanti: Computational Fluid Dynamics (IIT Madras)

# 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