Lecture 1 - Motivation
Lecture 2 - Flow in a rectangular duct: Problem formulation
Lecture 3 - Flow in a rectangular duct: Discretiztion of flow domain
Lecture 4 - Tutorial 1: Converting PDE to algebraic equation using FD approximation
Lecture 5 - Tutorial 1 (Continued...) Solution for algebraic equations using Gauss- Seidel Method
Lecture 6 - Flow in a triangular duct: Problem formulation
Lecture 7 - Flow in a triangular duct: Discretiztion of flow domain
Lecture 8 - Tutorial 2: Converting PDE to algebraic equation using Finite Volume method
Lecture 9 - Tutorial 2 (Continued...) Description of FV method and solution using G-S Method
Lecture 10 - Effect of grid spacing & upcoming course outline
Lecture 11 - Mass conservation equations
Lecture 12 - Momentum conservation equations
Lecture 13 - Forces acting on control volume
Lecture 14 - Kinematics of deformation in fluid flow
Lecture 15 - Equations governing fluid flow in incompressible fluid
Lecture 16 - Navier-Stokes equation for simple cases of flow
Lecture 17 - Energy conservation equations
Lecture 18 - Practical cases of fluid flow with heat transfer in CFD point of view
Lecture 19 - Practical cases of fluid flow with mass transfer in CFD point of view
Lecture 20 - Equations governing fluid flow with chemical reactions
Lecture 21 - Concept of wellposedness of mathematical problems
Lecture 22 - Introduction to finite difference methods
Lecture 23 - Finite difference approximation on an uniform mesh
Lecture 24 - Higher order and mixed derivatives
Lecture 25 - Solution of Poisson equation in rectangular duct-Turorial
Lecture 26 - Discretization of time domain
Lecture 27 - FD approx. on a non-uniform mesh and need of analysis of obtained discretization
Lecture 28 - Need for the analysis of discretized equation
Lecture 29 - Properties of Numerical Schemes: Accuracy, Conservation property, Boundedness, Consistency, Stability and Convergence
Lecture 30 - Properties of Numerical Schemes: Stability analysis
Lecture 31 - Tutorial on Stability Analysis
Lecture 32 - Analysis of Generic 1-d scalar transport equation
Lecture 33 - Introduction to the solution of coupled N-S equations
Lecture 34 - N-S equation in compressible flow- Mac Cormack Scheme
Lecture 35 - Stability limits of Mac-Cormack Scheme and the intro to Beam-Warming Scheme
Lecture 36 - Implicit Beam-Warming Scheme
Lecture 37 - Compressible flow to Incompressible flow
Lecture 38 - Solution of coupled equations: Incompressible flow
Lecture 39 - Artificial compressiblity method, Stream function-vorticity method
Lecture 40 - Pressure equation method, Staggered grid system
Lecture 41 - Pressure Correction Method
Lecture 42 - Tutorial on Pressure Correction Method
Lecture 43 - Tutorial on Pressure Correction Method (Continued...)
Lecture 44 - Introduction to the basic numerical methods
Lecture 45 - Direct Methods: solution of the system of algebraic equations
Lecture 46 - Tri-diagonal Matrix Algorithm: Derivation
Lecture 47 - TDMA and other iterative methods
Lecture 48 - Recap of basic iterative methods.
Lecture 49 - Convergence analysis of basic iterative methods
Lecture 50 - Successive Over Relaxation (SOR) method
Lecture 51 - Alternating Direction Implicit (ADI) method
Lecture 52 - Strongly Implicit Procedure (ILU) method
Lecture 53 - Multigrid method
Lecture 54 - Body Fitted Grid Approach
Lecture 55 - Formulation Of Finite Volume Method
Lecture 56 - Methods For Unstructured Grid Generation
Lecture 57 - Triangulation: The Advancing Front Method
Lecture 58 - The Advancing Front Method continuation
Lecture 59 - Time and length scale of turbulance
Lecture 60 - The turbulent closure problem
Lecture 61 - The generic formulation for turbulence
Lecture 62 - More generic formulation and summary
