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Course Description

Computational fluid dynamics, usually abbreviated as CFD, is a branch of fluid mechanics that uses numerical analysis and algorithms to solve and analyze problems that involve fluid flows.

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Course Syllabus
  • Mod-01 Lec-01 General Introduction: Historical Background and Spectrum of Applications
  • Mod-01 Lec-02 CFD: Simulation Process and Course Outline
  • Mod-02 Lec-01 Conservation Laws and Mathematical Preliminaries
  • Mod-02 Lec-02 Mass Conservation: Continuity Equation
  • Mod-02 Lec-03 Momentum Equation: Newton's 2nd Law
  • Mod-02 Lec-04 Momentum Equation: Navier-Stokes Equations
  • Mod-02 Lec-05 Navier-Stokes Equation and its Simplified Forms
  • Mod-02 Lec-06 Energy and Scalar Transport Equations
  • Mod-02 Lec-07 Scalar Transport, Mathematical Classification and Boundary Conditions
  • Mod-03 Lec-01 Finite Difference Method: Methodology and Grid Notation
  • Mod-03 Lec-02 Finite Difference Approximation of First Order Derivatives
  • Mod-03 Lec-03 Finite Difference Approximation of Second Order Derivatives
  • Mod-03 Lec-04 Finite Difference Approximation of Second Order Derivatives-2
  • Mod-03 Lec-05 Approximation of Mixed Derivatives and Multi-Dimensional F.D. Formulae
  • Mod-03 Lec-06 Implementation of Boundary Conditions and Finite Difference Algebraic System
  • Mod-03 Lec-07 Applications of FDM to Scalar Transport Problems-1
  • Mod-03 Lec-08 Applications of FDM to Scalar Transport Problems-2
  • Mod-03 Lec-09 Application of FDM to Advection-Diffusion and Computer Implementation Aspects
  • Mod-03 Lec-10 Computer Implementation of FDM for Steady State Heat Diffusion Problems
  • Mod-03 Lec-11 Computer Implementation of FDM for Steady State Heat Diffusion Problems -2
  • Mod-03 Lec-12 Computer Implementation of FDM for Steady State Heat Diffusion Problems -3
  • Mod-04 Lec-01 Solution of Discrete Algebraic Systems
  • Mod-04 Lec-02 Direct and Basic Iterative Methods for Linear Systems
  • Mod-04 Lec-03 Accelerated Iterative Methods for Linear Systems
  • Mod-05 Lec-01 Two Level and Multi-Level Methods for First Order IVPs
  • Mod-05 Lec-02 Two Level and Multi-Level Methods for First Order IVPs-2
  • Mod-05 Lec-03 Application to Unsteady Transport Problems
  • Mod-06 Lec-01 Introduction to Finite Volume Method
  • Mod-06 Lec-02 Finite Volume Interpolation Schemes
  • Mod-06 Lec-03 Application of FVM to Scalar Transport
  • Mod-07 Lec-01 Introduction to Finite Element Method
  • Mod-07 Lec-02 Finite Element Shape Functions and Numerical Integration
  • Mod-07 Lec-03 Finite Element Shape Functions and Numerical Integration-2
  • Mod-07 Lec-04 Application of FEM to Scalar Transport
  • Mod-08 Lec-01 Special Features of Navier-Stokes Equations
  • Mod-08 Lec-02 Time Integration Techniques for Navier-Stokes Equations
  • Mod-08 Lec-03 Implicit Pressure Correction Methods
  • Mod-08 Lec-04 SIMPLEC, SIMPLER and Fractional Step Methods
  • Mod-09 Lec-01 Turbulent Flows: Features and Simulation Strategies
  • Mod-09 Lec-02 Reynolds Averaging and RANS Simulation Models
  • Mod-09 Lec-03 RANS Turbulence Models and Large Eddy Simulation
  • Mod-10 Lec-01 Introduction to Grid Generation
  • Mod-10 Lec-02 Aspects of Practical CFD Analysis
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