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Mod-07 Lec-02 Finite Element Shape Functions and Numerical Integration
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Classroom Contents
Computational Fluid Dynamics
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- 1 Mod-01 Lec-01 General Introduction: Historical Background and Spectrum of Applications
- 2 Mod-01 Lec-02 CFD: Simulation Process and Course Outline
- 3 Mod-02 Lec-01 Conservation Laws and Mathematical Preliminaries
- 4 Mod-02 Lec-02 Mass Conservation: Continuity Equation
- 5 Mod-02 Lec-03 Momentum Equation: Newton's 2nd Law
- 6 Mod-02 Lec-04 Momentum Equation: Navier-Stokes Equations
- 7 Mod-02 Lec-05 Navier-Stokes Equation and its Simplified Forms
- 8 Mod-02 Lec-06 Energy and Scalar Transport Equations
- 9 Mod-02 Lec-07 Scalar Transport, Mathematical Classification and Boundary Conditions
- 10 Mod-03 Lec-01 Finite Difference Method: Methodology and Grid Notation
- 11 Mod-03 Lec-02 Finite Difference Approximation of First Order Derivatives
- 12 Mod-03 Lec-03 Finite Difference Approximation of Second Order Derivatives
- 13 Mod-03 Lec-04 Finite Difference Approximation of Second Order Derivatives-2
- 14 Mod-03 Lec-05 Approximation of Mixed Derivatives and Multi-Dimensional F.D. Formulae
- 15 Mod-03 Lec-06 Implementation of Boundary Conditions and Finite Difference Algebraic System
- 16 Mod-03 Lec-07 Applications of FDM to Scalar Transport Problems-1
- 17 Mod-03 Lec-08 Applications of FDM to Scalar Transport Problems-2
- 18 Mod-03 Lec-09 Application of FDM to Advection-Diffusion and Computer Implementation Aspects
- 19 Mod-03 Lec-10 Computer Implementation of FDM for Steady State Heat Diffusion Problems
- 20 Mod-03 Lec-11 Computer Implementation of FDM for Steady State Heat Diffusion Problems -2
- 21 Mod-03 Lec-12 Computer Implementation of FDM for Steady State Heat Diffusion Problems -3
- 22 Mod-04 Lec-01 Solution of Discrete Algebraic Systems
- 23 Mod-04 Lec-02 Direct and Basic Iterative Methods for Linear Systems
- 24 Mod-04 Lec-03 Accelerated Iterative Methods for Linear Systems
- 25 Mod-05 Lec-01 Two Level and Multi-Level Methods for First Order IVPs
- 26 Mod-05 Lec-02 Two Level and Multi-Level Methods for First Order IVPs-2
- 27 Mod-05 Lec-03 Application to Unsteady Transport Problems
- 28 Mod-06 Lec-01 Introduction to Finite Volume Method
- 29 Mod-06 Lec-02 Finite Volume Interpolation Schemes
- 30 Mod-06 Lec-03 Application of FVM to Scalar Transport
- 31 Mod-07 Lec-01 Introduction to Finite Element Method
- 32 Mod-07 Lec-02 Finite Element Shape Functions and Numerical Integration
- 33 Mod-07 Lec-03 Finite Element Shape Functions and Numerical Integration-2
- 34 Mod-07 Lec-04 Application of FEM to Scalar Transport
- 35 Mod-08 Lec-01 Special Features of Navier-Stokes Equations
- 36 Mod-08 Lec-02 Time Integration Techniques for Navier-Stokes Equations
- 37 Mod-08 Lec-03 Implicit Pressure Correction Methods
- 38 Mod-08 Lec-04 SIMPLEC, SIMPLER and Fractional Step Methods
- 39 Mod-09 Lec-01 Turbulent Flows: Features and Simulation Strategies
- 40 Mod-09 Lec-02 Reynolds Averaging and RANS Simulation Models
- 41 Mod-09 Lec-03 RANS Turbulence Models and Large Eddy Simulation
- 42 Mod-10 Lec-01 Introduction to Grid Generation
- 43 Mod-10 Lec-02 Aspects of Practical CFD Analysis
