### Lecture 1: Motivation for CFD and Introduction to the CFD approach

##### Lecture Details :

Computational Fluid Dynamics by Prof. Sreenivas Jayanti, Department of Chemical Engineering, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in

##### Course Description :

Illustration of the CFD approach; CFD as an engineering analysis tool - Derivation of flow governing equations - Initial and boundary conditions; wellposedness - Turbulence modeling - Discretization of the governing equations using finite difference / volume methods - Concepts of consistency, stability and convergence - Template for the discretization of a generic unsteady transport equation - Spectral analysis of errors and TVD schemes - Solution of discretized linear algebraic equations: direct methods; classical iterative methods; convergence analysis - Advanced methods for the solution of discretized equations - Solution of coupled equations: methods for compressible flows - On evaluation of pressure in incompressible flows - Pressure-velocity coupling algorithms - Template for the solution of governing equations - Structured and unstructured grids - Structured grid generation methods - Unstructured grid generation methods - Benchmarking and calibration

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