This syllabus covers the philosophy and governing equations of computational fluid dynamics. It reviews numerical methods like the finite difference and finite volume methods used to solve partial differential equations modeling fluid flow and heat transfer. Specific topics covered include discretization techniques, consistency and stability analysis, and applications of these methods to problems involving heat conduction, convection and incompressible viscous flows.

1. Syllabus (CH4316)
• Philosophy of computational fluid dynamics (CFD), Review of
equations governing fluid flow and heat transfer, simplified flow
models such as incompressible, inviscid, potential and creeping flow
• Classification of partial differential equations, initial and boundary
conditions, review of applied numerical methods
• Finite difference method: introduction, discretization method,
consistency, error and stability analysis, fundamentals of fluid flow
modeling

2. • Finite difference applications in heat conduction and convection:
steady and transient heat conduction in rectangular and cylindrical
geometries, convective heat transfer
• Solution of viscous incompressible flows by stream function-vorticity
formulation Solution of Navier-Stokes equation for incompressible
flows using SIMPLE algorithm
• Finite Volume Method: Discretization methods, approximations of
surface integrals and volume integrals, interpolation and differential
practices, implementation of boundary conditions, application to the
engineering problems