Computational Fluid Dynamics (Dr. K.M. Singh)


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: Newton’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