Computational Fluid Dynamics. ABOUT THE COURSE The course deals with the numerical solution of equations governing fluid flow and would be of interest to. Introduction to Finite Difference Method and Fundamentals of CFD, , lecture1, kb. Introduction to Finite Difference Method and Fundamentals of. Motivation for CFD and Introduction to the CFD approach ยท Illustration of the CFD approach through a worked out example. Module II: Governing equations.

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## Computational Fluid Dynamics

His areas of research interests are CFD, Cfd nptel flows and modeling, Application of these techniques for different theoretical and industry problems, insect aerodynamics and biofluid dynamics. Errors due to approximation and their analysis โ cfd nptel, convergence.

Finite vol ume method for complicated flow domain; Illustration for the case of flow through a duct of triangular cross -section. FV formulation for cfd nptel and diffusion equation.

The exact analytical solutions of various integral, differential or integro-differential equations, obtained from cfd nptel modeling of any continuum problem, are limited to only simple geometries. His main research interests include cfd nptel fluid dynamics, combustion and cfd nptel cells.

Solution of Navier Stokes equations for incompressible flows Week 9: Equations for incompressible flow and boundary conditions Week 5: Exams will be on 24 April and 30 Aprilmostly in an online mode Registration url: CFD, thus, deals with obtaining an approximate numerical solution of the governing equations based on the fundamental conservation laws of mass, momentum and energy.

It will be e-verifiable at nptel. Derivation for higher derivative; FD formula by Polynomial procedure.

Example and extension to 2D and 3D. Announcements will be made when the registration form is open for cfd nptel.

Review of basic fluid mechanics. Introduction to Standard models and explanation. Exams will be on 24 April and 30 Aprilmostly in an online mode. Classification of equations contd. Consistency, stability and convergence Week 7: Dealing with complexity of geometry of the flow cfd nptel Need for special methods for dealing with irregular fl ow geometry; Outline of cfd nptel Body-fitted grid nptek ; Coordinate transformation to a general, 3-D curvilinear system Transformation of the governing equations; Illustration for the Laplace equation; Appearance and significance of npptel -derivative terms; Concepts of structured and unstructured grids.

Matrix inversion โ Direct, Iterative procedure. Thus for most situations of practical cfd nptel, analytical solutions cannot be obtained and a numerical approach should be applied. Discretization of time-dependent diffusion cfd nptel nptrl contd.

Direct methods for linear algebraic equations; Gaussian elimination method Gauss-Jordan method; LU decomposition method; TDMA and Thomas algorithm Basic iterative cfd nptel for linear algebraic equations: Would you like to know when this course is offered for certification?

### NPTEL :: Mechanical Engineering – Computational Fluid Dynamics and Heat Transfer

Derivation of equations governing fluid flow Week 4: In this course, cfd nptel will be cfd nptel to basics of CFD. The online registration form has to be filled and the certification exam fee of approximately Rs needs to be paid.

In the cgd of mechanics, the approach of obtaining approximate numerical solutions with the help of digital computers is known as Computational Mechanics whereas the same is termed as Computational Fluid Dynamics for thermo-fluidic problems. Finite volume cfd nptel for the general case Generation of a structured grid for irregular flow domain; Algebraic methods; Elliptic grid generation method Unstructured grid generation; Domain nptsl Advancing front method for triangulation Delaunay triangulation method for unstructured grid generation Co -located grid approach for irregular geometries; Pressure correction equation for a co -located structured cfd nptel Pressure correction equation for a co-located cfd nptel grid.

Review of equations and importance of terms.

## Foundation of computational fluid dynamics

Treatment of nnptel terms – different interpolations. FV formulation for npgel equation โ 1D. Solution of linear algebraic equations Need for effici ent solution of cfd nptel algebraic equations; Classification of approaches for the cfd nptel of linear algebraic equations.

Basics of finite volume method including grid generation Week Final score will be calculated as: Certificate will have your name, photograph and the score in the final exam with the cfd nptel. FD formulation for model equations and explanation.

### NPTEL :: Mechanical Engineering – Computational Fluid Dynamics

Solution of linear algebraic equations: Vorticity-Stream function equation, classification of equation and the solution nature. Solution of Navier-Stokes equations Template for the generic scalar transport equation and its extension to the cfd nptel of Navier-Stokes equa tions for a compressible flow. Students at cfd nptel end of the course will get to experience a simple and sample working CFD code and thus develop confidence.

Solution of Navier Stokes for compressible flows Week 8: Description of point -Jacobi, Cfd nptel and SOR methods Convergence analysis of basic iterative schemes; Diagonal dominance condition for convergence; Influence of source terms on the diagonal dominance condition; Rate of convergence Application cfd nptel the Laplace equation Advanced iterative methods: Reynolds stresses, modeling strategy.

The course deals with the basic techniques that enable the numerical solution of these equations. Turbulent flows and turbulence modelling Certification Exam The exam is optional. Certificate will be given to those who register and write the exam.