NOC:Computational Fluid Dynamics


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