Modules / Lectures
Module NameDownloadDescriptionDownload Size
Module I: IntroductionModule I: IntroductionModule I: Introduction60 kb
Module I: IntroductionAssignment -01Assignment 1 for computational fluid dynamics81 kb
Module II: Governing equationsModule II: Governing equationsModule II: Governing equations21 kb
Module III: Template for the numerical solution of the generic scalar transport equationModule III: Template for the numerical solution of the generic scalar transport equationModule III: Template for the numerical solution of the generic scalar transport equation49 kb
Module IV: Solution of Navier-Stokes equationsModule IV: Solution of Navier-Stokes equationsModule IV: Solution of Navier-Stokes equations21 kb
Module V: Solution of linear algebraic equationsModule V: Solution of linear algebraic equationsModule V: Solution of linear algebraic equations21 kb
Module VI: Dealing with complexity of physics of flowModule VI: Dealing with complexity of physics of flowModule VI: Dealing with complexity of physics of flow73 kb
Module VI: Dealing with complexity of physics of flowAssignment - 02 Assignment-024 kb
Module VII: Dealing with complexity of geometry of the flow domainModule VII: Dealing with complexity of geometry of the flow domainModule VII: Dealing with complexity of geometry of the flow domain21 kb


New Assignments
Module NameDownload

Sl.No Chapter Name English
1Motivation for CFD and Introduction to the CFD approachPDF unavailable
2Illustration of the CFD approach through a worked out examplePDF unavailable
3Eulerian approach, Conservation Equation, Derivation of Mass Conservation Equation and Statement of the momentum conservation equationPDF unavailable
4Forces acting on a control volume; Stress tensor; Derivation of the momentum conservation equation ; Closure problem; Deformation of a fluid element in fluid flowPDF unavailable
5Kinematics of deformation in fluid flow; Stress vs strain rate relation; Derivation of the Navier-Stokes equations PDF unavailable
6Equations governing flow of incompressible flow; Initial and boundary conditions; Wellposedness of a fluid flow problem PDF unavailable
7Equations for some simple cases; Generic scalar transport equation form of the governing equations; Outline of the approach to the solution of the N -S equations. PDF unavailable
8cut out the first 30s; Spatial discretization of a simple flow domain; Taylorís series expansion and the basis of finite difference approximation of a derivative; Central and one-sided difference approximations; Order of accuracy of finite difference apPDF unavailable
9 Finite difference approximation of pth order of accuracy for qth order derivative; cross -derivatives; Examples of high order accurate formulae for several derivatives PDF unavailable
10One -sided high order accurate approximations; Explicit and implicit formulations for the time derivatives PDF unavailable
11Numerical solution of the unsteady advection equation using different finite difference approximations PDF unavailable
12Need for analysis of a discretization scheme; Concepts of consistency, stability and convergence and the equivalence theorem of Lax ; Analysis for consistency PDF unavailable
13Statement of the stability problem; von Neumann stability analysis of the first order wave equationPDF unavailable
14Consistency and stability analysis of the unsteady diffusion equation; Analysis for two- and three -dimensional cases; Stability of implicit schemes PDF unavailable
15Interpretation of the stability condition; Stability analysis of the generic scalar equation and the concept of upwinding ; Diffusive and dissipative errors in numerical solution; Introduction to the concept of TVD schemes PDF unavailable
16Template for the generic scalar transport equation and its extension to the solution of Navier-Stokes equa tions for a compressible flow. PDF unavailable
17Illustration of application of the template using the MacCormack scheme for a three-dimensional compressible flowPDF unavailable
18Stability limits of MacCormack scheme; Limitations in extending compressible flow schemes to incompre ssible flows ; Difficulty of evaluation of pressure in incompressible flows and listing of various approaches PDF unavailable
19Artificial compressibility method and the streamfunction-vorticity method for the solution of NS equations and their limitations PDF unavailable
20Pressur e equation method for the solution of NS equations PDF unavailable
21Pressure-correction approach to the solution of NS equations on a staggered grid; SIMPLE and its family of methods PDF unavailable
22Need for effici ent solution of linear algebraic equations; Classification of approaches for the solution of linear algebraic equations. PDF unavailable
23Direct methods for linear algebraic equations; Gaussian elimination methodPDF unavailable
24Gauss-Jordan method; LU decomposition method; TDMA and Thomas algorithm PDF unavailable
25Basic iterative methods for linear algebraic equations: Description of point -Jacobi, Gauss-Seidel and SOR methods PDF unavailable
26Convergence analysis of basic iterative schemes; Diagonal dominance condition for convergence; Influence of source terms on the diagonal dominance condition; Rate of convergence PDF unavailable
27Application to the Laplace equation PDF unavailable
28Advanced iterative methods: Alternating Direction Implicit Method; Operator splittingPDF unavailable
29Advanced iterative methods; Strongly Implicit Proc edure; Conjugate gradient method; Multigrid method PDF unavailable
30Illustration of the Multigrid method for the Laplace equationPDF unavailable
31Overview of the approach of numerical solution of NS equations for simple domains; Introduction to complexity arising from physics and geometry PDF unavailable
32 Derivation of the energy conservation equation PDF unavailable
33 Derivation of the species conservation equation; dealing with chemical reactionsPDF unavailable
34Turbulence; Characteri stics of turbulent flow; Dealing with fluctuations and the concept of time-averaging PDF unavailable
35 Derivation of the Reynolds -averaged Navier -Stokes equations; identification of the closure problem of turbulence; Boussinesq hypothesis and eddy viscosity PDF unavailable
36Reynol ds stresses in turbulent flow; Time and length scales of turbulence; Energy cascade; Mixing length model for eddy viscosity PDF unavailable
37One-equation model for turbulent flow PDF unavailable
38 Two -equation model for turbulent flow; Numerical calculation of turbulent reacting flows PDF unavailable
39Calculation of near-wall region in turbulent flow; wall function approach; near-wall turbulence models PDF unavailable
40Need for special methods for dealing with irregular fl ow geometry; Outline of the Body-fitted grid approach ; Coordinate transformation to a general, 3-D curvilinear systemPDF unavailable
41Transformation of the governing equations; Illustration for the Laplace equation; Appearance and significance of cross -derivative terms; Concepts of structured and unstructured grids.PDF unavailable
42Finite vol ume method for complicated flow domain; Illustration for the case of flow through a duct of triangular cross -section. PDF unavailable
43Finite volume method for the general case PDF unavailable
44Generation of a structured grid for irregular flow domain; Algebraic methods; Elliptic grid generation method PDF unavailable
45 Unstructured grid generation; Domain nodalization; Advancing front method for triangulationPDF unavailable
46Delaunay triangulation method for unstructured grid generation PDF unavailable
47Co -located grid approach for irregular geometries; Pressure correction equation for a co -located structured grid; Pressure correction equation for a co-located unstructured grid.PDF unavailable


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1EnglishNot Available
2BengaliNot Available
3GujaratiNot Available
4HindiNot Available
5KannadaNot Available
6MalayalamNot Available
7MarathiNot Available
8TamilNot Available
9TeluguNot Available