NPTEL : NOC:Computational Fluid Dynamics (Chemical Engineering)

Co-ordinators : Prof. Sreenivas Jayanti


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