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Mod-01 Lec-01 Introduction to Computational Fluid Dynamics and Principles of Conservation

Mod-01 Lec-02 Conservation of Mass and Momentum: Continuity and Navier Stokes Equation

Navier Stokes Equation (Contd.)

Mod-01 Lec-04 Energy Equation and General Structure of Conservation Equations

Mod-01 Lec-05 Classification of Partial Differential Equations and Physical Behaviour

Mod-01 Lec-06 Classification of Partial Differential Equations and Physical Behaviour (Contd.)

Mod-01 Lec-07 Approximate Solutions of Differential Equations: Error Minimization Principles

Mod-01 Lec-08 Approximate Solutions of Differential Equations: Variational Principles

Mod-01 Lec-09 Weighted Residual Approach and Introduction to Discretization

Mod-01 Lec-10 Fundamentals of Discretization: Finite Element Method

Mod-01 Lec-11 Fundamentals of Discretization: Finite Difference and Finite Volume Method

Mod-01 Lec-12 Fundamentals of Discretization: Finite Volume Method (Contd.)

Mod-01 Lec-13 Finite Volume Method:Some Concept Basics

Mod-01 Lec-14 Finite Volume Method: Boundary Condition Implementation

Mod-01 Lec-15 Finite Volume Method:Discretization of Unsteady State Problems

Mod-01 Lec-16 Important Consequences of Discretization of Unsteady State Problems

Mod-01 Lec-17 Important Consequences of Discretization of Time Dependent Diffusion

Mod-01 Lec-18 Discretization of Hyperbolic Equations: Stability Analysis

Mod-01 Lec-19 PART1:Stability of Second Order Hyperbolic Equations

Mod-01 Lec-20 PART 1: Mid-Semester Assessment Review (Questions and Answers) (Contd.)

Mod-01 Lec-21 Solution of Systems of Linear Algebraic Equations

Mod-01 Lec-22 Solution of Systems of Linear Algebraic Equations: Elimination Methods

Mod-01 Lec-23 Solution of Systems of Linear Algebraic Equations: Elimination Methods (Contd.)

Mod-01 Lec-24 Elimination Methods: Error Analysis

Mod-01 Lec-25 Iterative Methods for Numerical Solution of Systems of Linear Algebraic Equations

Mod-01 Lec-26 Iterative Methods for Numerical Solution of Systems of Linear Algebraic Equations

Mod-01 Lec-27 Iterative Methods: Further Examples

Mod-01 Lec-28 PART1:Combination of Iteration & Elimination Techniques

Mod-01 Lec-29 Gradient Search Methods (Contd.)

Mod-01 Lec-30 Discretization of Convection-Diffusion Equations: A Finite Volume Approach

Mod-01 Lec-31 Discretization of Convection-Diffusion Equations: A Finite Volume Approach (Contd.)

Mod-01 Lec-32 Discretization of Convection- Diffusion Equations: A Finite Volume Approach (Contd.)

Mod-01 Lec-33 Discretization of Convection -Diffusion Equations: A Finite Volume Approach (Contd.)

Mod-01 Lec-34 Discretization of Convection-Diffusion Equations: A Finite Volume Approach ( Contd.)

Mod-01 Lec-35 Discretization of Navier Stokes Equations

Mod-01 Lec-36 Discretization of Navier Stokes Equations ( Contd.)

Mod-01 Lec-37 Discretization of Navier Stokes Equations ( Contd. )

Mod-01 Lec-38 PART 1 : Discretization of Navier Stokes Equations (Contd.) PART 2 : Fundamentals

Mod-01 Lec-39 Unstructured Grid Formulation (Contd.)

Mod-01 Lec-40 What is there in implementing a CFD Code

Mod-01 Lec-41 Introduction to Turbulence Modeling

Mod-01 Lec-42 Introduction to Turbulence Modeling (Contd.)

Mod-01 Lec-43 End Semester Questions Review

Description:

Instructor: Prof. Suman Chakraborty, Department of Mechanical Engineering, IIT Kharagpur. This course provides an introduction to Computational Fluid Dynamics (CFD) with an emphasis on the fundamental principles that govern the implementation of CFD in practical applications. CFD or computational fluid dynamics is a branch of continuum mechanics that deals with numerical simulation of fluid flow and heat transfer problems. The exact analytical solutions of various integral, differential or integrodifferential equations, obtained from mathematical modeling of any continuum problem, are limited to only simple geometries. Thus for most situations of practical interest, analytical solutions cannot be obtained and a numerical approach should be applied. In the field of mechanics, the approach of obtaining approximate numerical solutions with the help of digital computers is known as Computational Mechanics whereas the same is termed as Computational Fluid Dynamics for thermo-fluidic problems. CFD, thus, deals with obtaining an approximate numerical solution of the governing equations based on the fundamental conservation laws of mass, momentum and energy. Read more

Computational Fluid Dynamics

NPTEL

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#Science #Physics #Fluid Mechanics #Fluid Dynamics #Computational Fluid Dynamics #Mathematics #Applied Mathematics #Numerical Methods #Differential Equations #Partial Differential Equations #Engineering #Finite Element Analysis #Finite Element Method #Finite Volume Method

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