Course10310611965 lectures
Computational Fluid Dynamics
Prof. Sreenivas Jayanti · IIT Madras
Lectures
Module 1- Introduction to CFD approach
- Lesson 1- Motivation
- Lesson 2- Flow in a rectangular duct: Problem formulation
- Lesson 3- Flow in a rectangular duct: Discretiztion of flow domain
- Lesson 4- Tutorial 1: Converting PDE to algebraic equation using FD approximation
- Lesson 5- Tutorial 1 contd.: Solution for algebraic equations using Gauss- Seidel Method
Module 1- Introduction to CFD approach- Part 2
- Lesson 6- Flow in a triangular duct: Problem formulation
- Lesson 7- Flow in a triangular duct: Discretiztion of flow domain
- Lesson 8- Tutorial 2: Converting PDE to algebraic equation using Finite Volume method
- Lesson 9- Tutorial 2 contd.: Description of FV method and solution using G-S Method
- Lesson 10- Effect of grid spacing & upcoming course outline
Module 2- Equations Governing Fluid Flow - Part 1
- Lesson 11- Mass conservation equations
- Lesson 12- Momentum conservation equations
- Lesson 13- Forces acting on control volume
- Lesson 14- Kinematics of deformation in fluid flow
- Lesson 15- Equations governing fluid flow in incompressible fluid
- Lesson 16- Navier-Stokes equation for simple cases of flow
Module 2- Equations Governing Fluid Flow - Part 2
- Lesson 17- Energy conservation equations
- Lesson 18- Practical cases of fluid flow with heat transfer in CFD point of view
- Lesson 19- Practical cases of fluid flow with mass transfer in CFD point of view
- Lesson 20- Equations governing fluid flow with chemical reactions
- Lesson 21- Concept of wellposedness of mathematical problems
Module 3- Basics of CFD: Part 1- Finite Difference Methods
- Lesson 22- Introduction to finite difference methods
- Lesson 23- Finite difference approximation on an uniform mesh
- Lesson 24- Higher order and mixed derivatives
- Lesson 25- Solution of Poisson equation in rectangular duct- Turorial
- Lesson 26- Discretization of time domain
- Lesson 27- FD approx. on a non-uniform mesh and need of analysis of obtained discretization
Module 3- Basics of CFD: Part 2- Analysis of Discretized Equations
- Lesson 28- Need for the analysis of discretized equation
- Lesson 29- Properties of Numerical Schemes: Accuracy, Conservation property, Boundedness, Consistency, Stability and Convergence
- Lesson 30- Properties of Numerical Schemes: Stability analysis
- Lesson 31- Tutorial on Stability Analysis
- Lesson 32- Analysis of Generic 1-d scalar transport equation
Module 4 -Solution of Navier-Stokes Equations- Part 1
- Introduction to the solution of coupled N-S equations
- N-S equation in compressible flow- Mac Cormack Scheme
- Stability limits of Mac-Cormack Scheme and the intro to Beam-Warming Scheme
- Implicit Beam-Warming Scheme
- Compressible flow to Incompressible flow
Module 4 -Solution of Navier-Stokes Equations- Part 2
- Lesson 38 - Solution of coupled equations: Incompressible flow
- Lesson 39 - Artificial compressiblity method, Stream function-vorticity method
- Lesson 40 - Pressure equation method, Staggered grid system
- Lesson 41 - Pressure Correction Method
- Lesson 42 - Tutorial on Pressure Correction Method
- Lesson 43 - Tutorial on Pressure Correction Method contd.
Module 5- Solution of linear algebraic equation- Part 1: Basic Methods
- Lesson 44 - Introduction to the basic numerical methods
- Lesson 45 - Direct Methods: solution of the system of algebraic equations
- Lesson 46 - Tri-diagonal Matrix Algorithm: Derivation
- Lesson 47 - TDMA and other iterative methods
- Lesson 48 - Recap of basic iterative methods.
Module 5- Solution of linear algebraic equation- Part 2: Advanced Methods
- Lesson 49 - Convergence analysis of basic iterative methods
- Lesson 50 - Successive Over Relaxation (SOR) method
- Lesson 51 - Alternating Direction Implicit (ADI) method
- Lesson 52 - Strongly Implicit Procedure (ILU) method
- Lesson 53 - Multigrid method
Module 6- Basics of finite volume method including grid generation - Part -1
- Lesson 54 - Body Fitted Grid Approach
- Lesson 55 - Formulation Of Finite Volume Method
- Lesson 56 - Methods For Unstructured Grid Generation
- Lesson 57- Triangulation: The Advancing Front Method
- Lesson 58 - The Advancing Front Method continuation
Module 6 - Issues in practical problems - Part 2: Turbulent flows
- Lesson 59 -Time and length scale of turbulance
- Lesson 60 -The turbulent closure problem
- Lesson 61 -The generic formulation for turbulence
- Lesson 62 -More generic formulation and summary
Live Session
Syllabus and materials
At NPTEL, as the course publishes them.
Credits and licence
- Institution
- IIT Madras
- Department
- Chemical Engineering
- Teacher
- Prof. Sreenivas Jayanti
- Level
- Undergraduate
- Language
- English
- Subjects
- Chemistry, Engineering
- Source
- NPTEL
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- NPTEL gives no rating. Invisible Network shows it to Tweens profiles and older, judged from what the source says about it. How courses are placed
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