Lecture 1 - General Introduction: Historical Background and Spectrum of Applications

Lecture 2 - CFD: Simulation Process and Course Outline

Lecture 3 - Conservation Laws and Mathematical Preliminaries

Lecture 4 - Mass Conservation: Continuity Equation

Lecture 5 - Momentum Equation: Newtonâ€™s 2nd Law

Lecture 6 - Momentum Equation: Navier-Stokes Equations

Lecture 7 - Navier-Stokes Equation and its Simplified Forms

Lecture 8 - Energy and Scalar Transport Equations

Lecture 9 - Scalar Transport, Mathematical Classification and Boundary Conditions

Lecture 10 - Finite Difference Method: Methodology and Grid Notation

Lecture 11 - Finite Difference Approximation of First Order Derivatives

Lecture 12 - Finite Difference Approximation of Second Order Derivatives - 1

Lecture 13 - Finite Difference Approximation of Second Order Derivatives - 2

Lecture 14 - Approximation of Mixed Derivatives and Multi-Dimensional F.D. Formulae

Lecture 15 - Implementation of Boundary Conditions and Finite Difference Algebraic System

Lecture 16 - Applications of FDM to Scalar Transport Problems - 1

Lecture 17 - Applications of FDM to Scalar Transport Problems - 2

Lecture 18 - Application of FDM to Advection-Diffusion and Computer Implementation Aspects

Lecture 19 - Computer Implementation of FDM for Steady State Heat Diffusion Problems - 1

Lecture 20 - Computer Implementation of FDM for Steady State Heat Diffusion Problems - 2

Lecture 21 - Computer Implementation of FDM for Steady State Heat Diffusion Problems - 3

Lecture 22 - Solution of Discrete Algebraic Systems

Lecture 23 - Direct and Basic Iterative Methods for Linear Systems

Lecture 24 - Accelerated Iterative Methods for Linear Systems

Lecture 25 - Two Level and Multi-Level Methods for First Order IVPs - 1

Lecture 26 - Two Level and Multi-Level Methods for First Order IVPs - 2

Lecture 27 - Application to Unsteady Transport Problems

Lecture 28 - Introduction to Finite Volume Method

Lecture 29 - Finite Volume Interpolation Schemes

Lecture 30 - Application of FVM to Scalar Transport

Lecture 31 - Introduction to Finite Element Method

Lecture 32 - Finite Element Shape Functions and Numerical Integration - 1

Lecture 33 - Finite Element Shape Functions and Numerical Integration - 2

Lecture 34 - Application of FEM to Scalar Transport

Lecture 35 - Special Features of Navier-Stokes Equations

Lecture 36 - Time Integration Techniques for Navier-Stokes Equations

Lecture 37 - Implicit Pressure Correction Methods

Lecture 38 - SIMPLEC, SIMPLER and Fractional Step Methods

Lecture 39 - Turbulent Flows: Features and Simulation Strategies

Lecture 40 - Reynolds Averaging and RANS Simulation Models

Lecture 41 - RANS Turbulence Models and Large Eddy Simulation

Lecture 42 - Introduction to Grid Generation

Lecture 43 - Aspects of Practical CFD Analysis