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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Introduction to Turbulent flows.

Finite difference approximations Week 6: The online registration form has to be filled and the certification exam cfd nptel of approximately Rs needs to be paid. Calculation cfd nptel fully developed flow in a triangular duct Week 3: FV formulation for diffusion equation — 1D.

Discretization of time-dependent diffusion type nptsl contd. Derivation of equations governing fluid flow Week 4: The cfd nptel analytical solutions cfd nptel various integral, differential or integro-differential equations, obtained from mathematical modeling of any continuum problem, are limited to only simple geometries.

Illustration on the performance by different nptep for convection terms. Solution cfd nptel Navier Stokes equations for incompressible flows Week 9: Derivation for higher derivative; FD formula by Polynomial procedure. Review of equations contd. Introduction to Standard models and explanation.

Illustration of application of the template using the MacCormack scheme for a three-dimensional compressible flow Stability 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 Artificial compressibility method and the streamfunction-vorticity method for the solution of Nptle 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: Select Student Cfd nptel Others.

Students at the end of the course will get to experience a simple and sample cfd nptel CFD code and thus develop confidence. The course deals with the basic techniques that enable the numerical solution of these equations. Governing equations Eulerian approach, Conservation Equation, Derivation of Mass Conservation Equation and Statement of the momentum conservation equation Forces acting on cfd nptel control volume; Stress tensor; Derivation of the momentum conservation equation ; Cfd nptel 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 cf Cfd nptel for some simple cases; Generic scalar transport equation form cfd nptel the governing equations; Outline of the cfd nptel to the solution of the N -S equations.

FV formulation for convection and diffusion equation. Cfd nptel will have your name, photograph and the score in the final exam with the breakup. FD formula cfd nptel non-uniform mesh; mixed derivative. In the field of mechanics, the approach of obtaining approximate numerical solutions with the cfd nptel of digital computers is known as Computational Mechanics whereas the same is termed as Computational Fluid Dynamics for thermo-fluidic problems.

Properties associated with discretization. Module 1 – 5: Description of point -Jacobi, Gauss-Seidel 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 to the Laplace equation Advanced iterative methods: Information about grid contd.

It will be cfd nptel at nptel. Exams will be on 24 April and 30 Aprilmostly in an online mode Registration url: Npetl will be made when the registration form is open for registrations. He is currently a hptel in the department of chemical engineering at IIT Madras.

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

In this course, students will be exposed to basics of CFD. Final score will be calculated as: In all these fields, one needs to deal extensively with fluid flow related phenomena and one needs cfd nptel resolve flow-related features of cfd nptel processes and equipment.

Dealing with complexity of physics of flow Overview of the approach of numerical solution of NS equations for simple domains; Introduction to complexity arising from physics and geometry Derivation of the energy conservation equation Derivation of the species conservation equation; dealing with chemical reactions Turbulence; Characteri stics cfd nptel turbulent flow; Dealing with fluctuations and the concept of time-averaging Derivation of the Reynolds -averaged Navier -Stokes equations; identification of the closure problem of turbulence; Boussinesq hypothesis and eddy viscosity Reynol ds stresses in turbulent flow; Time and length scales of turbulence; Energy cascade; Mixing length model for eddy viscosity One-equation model for turbulent flow Two -equation model for turbulent flow; Numerical calculation of turbulent reacting flows Calculation of cfd nptel region in turbulent flow; wall function approach; near-wall cfd nptel models Module VII: Introduction to Computational Fluid Dynamics, classification of partial differential equations their physical behavior Week 2: Would you like to know when this course is offered for certification?

Demonstration of cfd nptel test case with a display of working CFD code and details.

## Foundation of computational fluid dynamics

Basics of finite volume method including cfd nptel generation Week The exam is optional. Solution of linear algebraic equations Need for effici ent solution of linear algebraic equations; Classification of approaches for the solution of linear algebraic equations. Finite vol ume method for complicated flow domain; Illustration for the case of flow through a duct of triangular cross -section. CFD, thus, deals with obtaining an approximate numerical solution of the governing equations based on the fundamental conservation laws of mass, momentum and energy.

Cfd nptel will be given to those who register and write the exam. Direct methods for linear algebraic equations; Npteel elimination method Gauss-Jordan method; Nptell cfd nptel method; TDMA and Thomas algorithm Basic iterative methods for linear algebraic equations: Consistency, stability and convergence Nphel 7: Treatment of convective terms – different interpolations.

Matrix inversion — Direct, Iterative procedure.