Mechanical - Computational Fluid Dynamics (English)

   Sunday, April 20, 2025   

Starting a new Lecture Notes Series on Mechanical - Computational Fluid Dynamics

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Mechanical - Computational Fluid Dynamics By Lecture Notes together!

Lecture 1: Mod-01 Lec-01 General Introduction: Historical Background and Spectrum of Applications

Lecture 2: Mod-01 Lec-02 CFD: Simulation Process and Course Outline

Lecture 3: Mod-02 Lec-01 Conservation Laws and Mathematical Preliminaries

Lecture 4: Mod-02 Lec-02 Mass Conservation: Continuity Equation

Lecture 5: Mod-02 Lec-03 Momentum Equation: Newton's 2nd Law

Lecture 6: Mod-02 Lec-04 Momentum Equation: Navier-Stokes Equations

Lecture 7: Mod-02 Lec-05 Navier-Stokes Equation and its Simplified Forms

Lecture 8: Mod-02 Lec-06 Energy and Scalar Transport Equations

Lecture 9: Mod-02 Lec-07 Scalar Transport, Mathematical Classification and Boundary Conditions

Lecture 10: Mod-03 Lec-01 Finite Difference Method: Methodology and Grid Notation

Lecture 11: Mod-03 Lec-02 Finite Difference Approximation of First Order Derivatives

Lecture 12: Mod-03 Lec-03 Finite Difference Approximation of Second Order Derivatives

Lecture 13: Mod-03 Lec-04 Finite Difference Approximation of Second Order Derivatives-2

Lecture 14: Mod-03 Lec-05 Approximation of Mixed Derivatives and Multi-Dimensional F.D. Formulae

Lecture 15: Mod-03 Lec-06 Implementation of Boundary Conditions and Finite Difference Algebraic System

Lecture 16: Mod-03 Lec-07 Applications of FDM to Scalar Transport Problems-1

Lecture 17: Mod-03 Lec-08 Applications of FDM to Scalar Transport Problems-2

Lecture 18: Mod-03 Lec-09 Application of FDM to Advection-Diffusion and Computer Implementation Aspects

Lecture 19: Mod-03 Lec-10 Computer Implementation of FDM for Steady State Heat Diffusion Problems

Lecture 20: Mod-03 Lec-11 Computer Implementation of FDM for Steady State Heat Diffusion Problems -2

Lecture 21: Mod-03 Lec-12 Computer Implementation of FDM for Steady State Heat Diffusion Problems -3

Lecture 22: Mod-04 Lec-01 Solution of Discrete Algebraic Systems

Lecture 23: Mod-04 Lec-02 Direct and Basic Iterative Methods for Linear Systems

Lecture 24: Mod-04 Lec-03 Accelerated Iterative Methods for Linear Systems

Lecture 25: Mod-05 Lec-01 Two Level and Multi-Level Methods for First Order IVPs

Lecture 26: Mod-05 Lec-02 Two Level and Multi-Level Methods for First Order IVPs-2

Lecture 27: Mod-05 Lec-03 Application to Unsteady Transport Problems

Lecture 28: Mod-06 Lec-01 Introduction to Finite Volume Method

Lecture 29: Mod-06 Lec-02 Finite Volume Interpolation Schemes

Lecture 30: Mod-06 Lec-03 Application of FVM to Scalar Transport

Lecture 31: Mod-07 Lec-01 Introduction to Finite Element Method

Lecture 32: Mod-07 Lec-02 Finite Element Shape Functions and Numerical Integration

Lecture 33: Mod-07 Lec-03 Finite Element Shape Functions and Numerical Integration-2

Lecture 34: Mod-07 Lec-04 Application of FEM to Scalar Transport

Lecture 35: Mod-08 Lec-01 Special Features of Navier-Stokes Equations

Lecture 36: Mod-08 Lec-02 Time Integration Techniques for Navier-Stokes Equations

Lecture 37: Mod-08 Lec-03 Implicit Pressure Correction Methods

Lecture 38: Mod-08 Lec-04 SIMPLEC, SIMPLER and Fractional Step Methods

Lecture 39: Mod-09 Lec-01 Turbulent Flows: Features and Simulation Strategies

Lecture 40: Mod-09 Lec-02 Reynolds Averaging and RANS Simulation Models

Lecture 41: Mod-09 Lec-03 RANS Turbulence Models and Large Eddy Simulation

Lecture 42: Mod-10 Lec-01 Introduction to Grid Generation

Lecture 43: Mod-10 Lec-02 Aspects of Practical CFD Analysis