
Mod01 Lec01 Motivation for CFD and Introduction to the CFD approach

Mod01 Lec02 Illustration of the CFD approach through a worked out example

Mod02 Lec03 Eulerian approach, Conservation Equation, Derivation of Mass Conservation Equation

Mod02 Lec04 Eulerian approach, Conservation Equation, Derivation of Mass Conservation Equation

Mod02 Lec05 Forces acting on a control volume; Stress tensor;

Mod02 Lec06 Kinematics of deformation in fluid flow; Stress vs strain rate relation

Mod02 Lec07 Equations governing flow of incompressible flow;

Mod03 Lec08 Cut out the first 30s; Spatial discretization of a simple flow domain;

Mod03 Lec09 Finite difference approximation of pth order of accuracy for qth order derivative;

Mod03 Lec10 Onesided high order accurate approximations,Explicit and implicit formulations

Mod03 Lec11 Numerical solution of the unsteady advection equation using different finite

Mod03 Lec12 Need for analysis of a discretization scheme; Concepts of consistency

Mod03 Lec13 Statement of the stability problem

Mod03 Lec14 Consistency and stability analysis of the unsteady diffusion equation

Mod03 Lec15 Interpretation of the stability condition,Stability analysis of the generic scalar equ

Mod04 Lec16 Template for the generic scalar transport equation and its extension to the solution

Mod04 Lec17 Illustration of application of the template using the MacCormack scheme

Mod04 Lec18 Stability limits of MacCormack scheme

Mod04 Lec19 Artificial compressibility method and the streamfunctionvorticity method

Mod04 Lec20 Pressur e equation method for the solution of NS equations

Mod04 Lec21 Pressurecorrection approach to the solution of NS equations on a staggered grid

Mod05 Lec22 Need for effici ent solution of linear algebraic equations

Mod05 Lec23 Direct methods for linear algebraic equations; Gaussian elimination method

Mod05 Lec24 GaussJordan method; LU decomposition method; TDMA and Thomas algorithm

Mod05 Lec25 Basic iterative methods for linear algebraic equations: Description of point Jacobi

Mod05 Lec26 Convergence analysis of basic iterative schemes,Diagonal dominance condition

Mod05 Lec27 Application to the Laplace equation

Mod05 Lec28 Advanced iterative methods: Alternating Direction Implicit Method; Operator splitting

Mod05 Lec29 Advanced iterative methods,Strongly Implicit Procedure,Conjugate gradient method

Mod05 Lec30 Illustration of the Multigrid method for the Laplace equation

Mod06 Lec31 Overview of the approach of numerical solution of NS equations for simple domains

Mod06 Lec32 Derivation of the energy conservation equation

Mod06 Lec33 Derivation of the species conservation equation; dealing with chemical reactions

Mod06 Lec34 Turbulence,Characteri stics of turbulent flow,Dealing with fluctuations

Mod06 Lec35 Derivation of the Reynolds averaged Navier Stokes equations

Mod06 Lec36 Reynol ds stresses in turbulent flow,Time and length scales of turbulence

Mod06 Lec37 Oneequation model for turbulent flow

Mod06 Lec38 Two equation model for turbulent flow; Numerical calculation of turbulent

Mod06 Lec39 Calculation of nearwall region in turbulent flow; wall function approach

Mod07 Lec40 Need for special methods for dealing with irregular fl ow geometry

Mod07 Lec41 Transformation of the governing equations; Illustration for the Laplace equation

Mod07 Lec42 Finite volume method for complicated flow domain

Mod07 Lec43 Finite volume method for the general case

Mod07 Lec44 Generation of a structured grid for irregular flow domain; Algebraic methods

Mod07 Lec45 Unstructured grid generation,Domain nodalization

Mod07 Lec46 Delaunay triangulation method for unstructured grid generation

Mod07 Lec47 Co located grid approach for irregular geometries; Pressure correction equations