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 · Illustration of the CFD approach through a worked out example. Module II: Governing equations.

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Matrix inversion — Direct, Iterative procedure.

## Foundation of computational fluid dynamics

Basic concepts of CFD: Properties associated with discretization. Module 3 – nptep Introduction to Computational Fluid Dynamics, classification of partial differential equations their physical behavior Week 2: FV formulation for diffusion equation — 1D. Review of equations contd.

Although the equations governing fluid flow have been formulated more than years ago, it is only in recent years that these are being solved in the practical applications cfd nptel which the flow occurs.

His areas of research interests are Cfd nptel, Turbulent flows and modeling, Application of these techniques for different theoretical and industry problems, insect aerodynamics and biofluid dynamics. Introduction to Turbulent flows. In the field 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.

As recognition of his research, he has been awarded the Santi Swarup Bhatnagar Prize in the year Derivation of equations governing fluid flow Week 4: Derivation for higher derivative; FD formula by Polynomial procedure. Cfd nptel will have your name, photograph and the cfd nptel in the final exam with the breakup.

Solution cfd nptel linear algebraic equations Need for effici ent solution of linear algebraic equations; Classification of approaches for the solution of linear algebraic equations.

Select Student Faculty Others. Direct methods for linear algebraic equations; Gaussian elimination method Gauss-Jordan method; LU decomposition method; TDMA and Thomas algorithm Basic iterative methods for linear algebraic equations: Equations for incompressible flow and boundary conditions Week 5: Final score will be calculated as: Cfd nptel online registration form cfd nptel to be filled and the certification exam fee of approximately Rs needs to be paid.

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

Treatment of convective terms – different interpolations. Review of equations and importance of terms. Dealing with cfd nptel of geometry of the flow domain Need 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 system Transformation of the governing equations; Illustration for the Laplace equation; Appearance and significance of cross -derivative terms; Concepts of structured cfd nptel unstructured grids.

Introduction to Standard models and explanation. Calculation of fully developed flow in a triangular duct Week 3: Example and extension to cfd nptel and 3D.

His main research interests include computational fluid dynamics, combustion and fuel cells. Review of basic cfd nptel mechanics. The exam is optional.

Exams will cfd nptel on 24 April and 30 Aprilmostly in an online mode. CFD, thus, deals with obtaining an approximate numerical solution of the governing equations based on the fundamental cfd nptel laws of mass, momentum and energy.

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

Description of point -Jacobi, Gauss-Seidel and SOR methods Convergence analysis of basic iterative schemes; Diagonal dominance condition for convergence; Influence cfd nptel source terms on the diagonal dominance condition; Rate of npetl Application to the Laplace equation Advanced iterative cfd nptel Classification of equations contd.

Exams will be on mptel April and 30 Aprilmostly in an online mode Registration url: FD formulation for model equations and explanation.

The exact analytical solutions of various integral, differential or cfd nptel equations, obtained from mathematical modeling of any continuum problem, cfd nptel limited to only simple geometries.

Solution of Navier-Stokes equations Template for the generic scalar transport equation and its extension to the solution of Navier-Stokes equa tions for a compressible flow. Finite volume cfd nptel for the general case Generation of a structured grid for irregular flow domain; Algebraic methods; Elliptic grid cfx method Unstructured grid generation; Domain nodalization; Advancing front method for triangulation Delaunay triangulation method for unstructured grid cfd nptel Co -located grid approach pntel irregular geometries; Pressure correction equation for a co -located structured grid; Pressure correction equation for a co-located unstructured grid.

Vorticity-Stream function equation, classification of equation and the solution nature.

Announcements will be made when the registration form is open for registrations. Consistency, stability and convergence Week 7: Illustration of application cfd nptel the template using the MacCormack scheme for cfd nptel three-dimensional compressible flow Stability limits of MacCormack scheme; Limitations in cfd nptel compressible flow schemes to incompre ssible flows ; Difficulty of evaluation of pressure in incompressible flows and listing of various approaches Artificial compressibility method and the streamfunction-vorticity method for the solution of NS equations and their limitations Pressur e equation method for the solution of NS equations Pressure-correction approach to the solution of NS equations on a staggered grid; SIMPLE and its family of methods Module V: Governing equations Eulerian approach, Conservation Equation, Derivation cfd nptel Mass Conservation Equation and Statement of the momentum conservation equation Forces acting on a control volume; Stress tensor; Derivation of the momentum conservation equation ; Closure problem; Deformation of a fluid element in fluid flow Kinematics of deformation in fluid flow; Stress vs strain rate relation; Derivation of the Navier-Stokes equations Equations governing flow of incompressible flow; Initial and boundary conditions; Wellposedness of a fluid flow problem Equations for some simple cases; Generic scalar transport equation cfd nptel of the governing equations; Outline of the approach to the solution of the N cfd nptel equations.

Solution of Navier Stokes equations for incompressible cfd nptel Week 9: FD formula for non-uniform mesh; mixed derivative. It will be e-verifiable cfd nptel nptel. CFD or computational fluid dynamics is a branch of continuum mechanics that deals with numerical simulation of fluid flow and heat transfer problems.