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# Computational Fluid Dynamics

## Overview

ABOUT THE COURSE:CFD or computational fluid dynamics is a branch of continuum mechanics that deals with numerical simulation of fluid flow and heat transfer problems. The exact analytical solutions of various integral, differential or integro-differential equations, obtained from mathematical modeling of any continuum problem, are limited to only simple geometries. Thus for most situations of practical interest, analytical solutions cannot be obtained and a numerical approach should be applied. 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. CFD, thus, deals with obtaining an approximate numerical solution of the governing equations based on the fundamental conservation laws of mass, momentum and energy.Important For Certification/Credit Transfer:Weekly Assignments and Discussion Forum can be accessed ONLY by enrolling hereScroll down to EnrollNote:Content is Free!All content including discussion forum and assignments, is freeFinal Exam (in-person, invigilated, currently conducted in India) is mandatory for Certification and hasINR Rs. 1100 as exam fee.INTENDED AUDIENCE:Mechanical Engineering, Chemical Engineering, Civil Engineering, Aerospace Engineering, Mining Engineering, Atmospheric and Ocean Engineering, PhysicsCORE/ELECTIVE:CoreUG/PG:UG & PGPREREQUISITES:Basic knowledge of Mathematics and Fluid MechanicsINDUSTRY SUPPORT:Oil Companies (IOCL, SHELL, BPCL and others), Automobile and Aviation companies (GE, AIRBUS, TATA Motors and others) , R&D sectors of different companies

## Syllabus

Week 1: Introduction to Computational Fluid Dynamics, classification of partial differential equations their physical behaviorWeek 2: Fundamentals of discretizationWeek 3: Finite Volume approach and discretization of unsteady-state problemsWeek 4: Important consequences of discretization of time-dependent diffusion type problemsWeek 5: Discretization of time-dependent diffusion type problems (contd.); finite volume discretization of 2-D unsteady state diffusion type problemsWeek 6: Solution of systems of linear algebraic equations (Part I)Week 7: Solution of systems of linear algebraic equations (Part II)Week 8: Solution of systems of linear algebraic equations (Part III)Week 9: Solution of systems of linear algebraic equations (Part IV); A finite volume discretization of convection-diffusion equations (Part I)Week 10: A finite volume discretization of convection-diffusion equations (Part II)Week 11: A finite volume discretization of convection-diffusion equations (Part III),Discretization of Navier-Stokes equations (Part I)Week 12: Discretization of Navier-Stokes equations (Part II)

### Taught by

Sreenivas Jayanti

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