Computational Fluid Dynamics Video Lectures

Computational Fluid Dynamics
'Computational Fluid Dynamics' Video Lectures by Prof. Sreenivas Jayanti from IIT Madras
"Computational Fluid Dynamics" - Video Lectures
Motivation for CFD and Introduction to the CFD approach
Illustration of the CFD approach through a worked out example
Eulerian approach, Conservation Equation, Derivation of 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 form of the governing equations; Outline of the approach to the solution of the N -S equations.
cut out the first 30s; Spatial discretization of a simple flow domain; Taylor’s series expansion and the basis of finite difference approximation of a derivative; Central and one-sided difference app
Finite difference approximation of pth order of accuracy for qth order derivative; cross -derivatives; Examples of high order accurate formulae for several derivatives
One -sided high order accurate approximations; Explicit and implicit formulations for the time derivatives
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