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Course

Computational Fluid Dynamics

Indian Institute of Technology Kharagpur

Introduction to Computational Fluid Dynamics and Principles of Conservation: Continuity Equation, Navier Stokes Equation, Energy Equation and General Structure of Conservation Equations, Classification of Partial Differential Equations and Physical Behaviour, Approximate Solutions of Differential Equations: Error Minimization Principles, Variational Principles and Weighted Residual Approach, Fundamentals of Discretization: Finite Element Method, Finite Difference and Finite Volume Method, Finite Volume Method: Some Conceptual Basics and Illustrations through 1-D Steady State Diffusion Problems, Boundary Condition Implementation and Discretization of Unsteady State Problems, Important Consequences of Discretization of Time Dependent Diffusion Type Problems and Stability Analysis : Consistency, Stability and Convergence, LAX Equivalence theorem, Grid independent and time independent study, Stability analysis of parabolic equations (1-D unsteady state diffusion problems): FTCS (Forward time central space) scheme, Stability analysis of parabolic equations (1-D unsteady state diffusion problems): CTCS scheme (Leap frog scheme), Dufort-Frankel scheme, Stability analysis of hyperbolic equations: FTCS, FTFS, FTBS and CTCS Schemes, Finite Volume Discretization of 2-D unsteady State Diffusion type Problems, Solution of Systems of Linear Algebraic Equations: Elimination Methods, Iterative Methods, Gradient Search Methods, Discretization of Convection-Diffusion Equations: A Finite Volume Approach, Discretization of Navier Stokes Equations: Stream Function-Vorticity approach and Primitive variable approach, SIMPLE Algorithm, SIMPLER Algorithm, Unstructured Grid Formulation , Introduction to Turbulence Modeling.

Home > Engineering > Mechanical Engineering > Computational Fluid Dynamics Lectures:
• Mod-01 Lec-01 Introduction to Computational Fluid Dynamics and Principles of Conservation

00:58:20Prof. S. Chakraborty
• Mod-01 Lec-02 Conservation of Mass and Momentum: Continuity and Navier Stokes Equation

00:59:04Prof. S. Chakraborty
• Mod01 Lec-03 Navier Stokes Equation (Contd.)

00:56:41Prof. S. Chakraborty
• Mod-01 Lec-04 Energy Equation and General Structure of Conservation Equations

00:58:36Prof. S. Chakraborty
• Mod-01 Lec-05 Classification of Partial Differential Equations and Physical Behaviour

00:57:01Prof. S. Chakraborty
• Mod-01 Lec-06 Classification of Partial Differential Equations and Physical Behaviour (Contd.)

00:58:36Prof. S. Chakraborty
• Mod-01 Lec-07 Approximate Solutions of Differential Equations: Error Minimization Principles

00:58:45Prof. S. Chakraborty
• Mod-01 Lec-08 Approximate Solutions of Differential Equations: Variational Principles

00:59:22Prof. S. Chakraborty
• Mod-01 Lec-09 Weighted Residual Approach and Introduction to Discretization

00:58:54Prof. S. Chakraborty
• Mod-01 Lec-10 Fundamentals of Discretization: Finite Element Method

00:56:59Prof. S. Chakraborty
• Mod-01 Lec-11 Fundamentals of Discretization: Finite Difference and Finite Volume Method

00:57:57Prof. S. Chakraborty
• Mod-01 Lec-12 Fundamentals of Discretization: Finite Volume Method (Contd.)

00:58:27Prof. S. Chakraborty
• Mod-01 Lec-13 Finite Volume Method:Some Concept Basics

00:56:04Prof. S. Chakraborty
• Mod-01 Lec-14 Finite Volume Method: Boundary Condition Implementation

00:58:30Prof. S. Chakraborty
• Mod-01 Lec-15 Finite Volume Method:Discretization of Unsteady State Problems

00:55:53Prof. S. Chakraborty
• Mod-01 Lec-16 Important Consequences of Discretization of Unsteady State Problems

00:54:07Prof. S. Chakraborty
• Mod-01 Lec-17 Important Consequences of Discretization of Time Dependent Diffusion

01:00:30Prof. S. Chakraborty
• Mod-01 Lec-18 Discretization of Hyperbolic Equations: Stability Analysis

00:56:35Prof. S. Chakraborty
• Mod-01 Lec-19 PART1:Stability of Second Order Hyperbolic Equations

00:57:23Prof. S. Chakraborty
• Mod-01 Lec-20 PART 1: Mid-Semester Assessment Review (Questions and Answers) (Contd.)

00:58:25Prof. S. Chakraborty
• Mod-01 Lec-21 Solution of Systems of Linear Algebraic Equations

00:58:40Prof. S. Chakraborty
• Mod-01 Lec-22 Solution of Systems of Linear Algebraic Equations: Elimination Methods

00:57:57Prof. S. Chakraborty
• Mod-01 Lec-23 Solution of Systems of Linear Algebraic Equations: Elimination Methods (Contd.)

00:59:12Prof. S. Chakraborty
• Mod-01 Lec-24 Elimination Methods: Error Analysis

00:58:58Prof. S. Chakraborty
• Mod-01 Lec-25 Iterative Methods for Numerical Solution of Systems of Linear Algebraic Equations

00:58:00Prof. S. Chakraborty
• Mod-01 Lec-26 Iterative Methods for Numerical Solution of Systems of Linear Algebraic Equations

00:55:36Prof. S. Chakraborty
• Mod-01 Lec-27 Iterative Methods: Further Examples

00:58:48Prof. S. Chakraborty
• Mod-01 Lec-28 PART1:Combination of Iteration & Elimination Techniques

00:57:52Prof. S. Chakraborty
• Mod-01 Lec-29 Gradient Search Methods (Contd.)

00:57:51Prof. S. Chakraborty
• Mod-01 Lec-30 Discretization of Convection-Diffusion Equations: A Finite Volume Approach

00:57:58Prof. S. Chakraborty
• Mod-01 Lec-31 Discretization of Convection-Diffusion Equations: A Finite Volume Approach (Contd.)

00:58:27Prof. S. Chakraborty
• Mod-01 Lec-32 Discretization of Convection- Diffusion Equations: A Finite Volume Approach (Contd.)

00:58:51Prof. S. Chakraborty
• Mod-01 Lec-33 Discretization of Convection -Diffusion Equations: A Finite Volume Approach (Contd.)

00:58:44Prof. S. Chakraborty
• Mod-01 Lec-34 Discretization of Convection-Diffusion Equations: A Finite Volume Approach ( Contd.)

00:57:55Prof. S. Chakraborty
• Mod-01 Lec-35 Discretization of Navier Stokes Equations

00:59:34Prof. S. Chakraborty
• Mod-01 Lec-36 Discretization of Navier Stokes Equations ( Contd.)

01:00:27Prof. S. Chakraborty
• Mod-01 Lec-37 Discretization of Navier Stokes Equations ( Contd. )

00:57:59Prof. S. Chakraborty
• Mod-01 Lec-39 Unstructured Grid Formulation (Contd.)

00:58:33Prof. S. Chakraborty
• Mod-01 Lec-40 What is there in implementing a CFD Code

00:56:31Prof. S. Chakraborty
• Mod-01 Lec-41 Introduction to Turbulence Modeling

00:58:31Prof. S. Chakraborty
• Mod-01 Lec-42 Introduction to Turbulence Modeling (Contd.)

00:58:47Prof. S. Chakraborty
• Mod-01 Lec-43 End Semester Questions Review

00:58:11Prof. S. Chakraborty
Course Material: