Learn · Computational Fluid Dynamics
Lecture 24 of 43SOLUTION OF ALGEBRAIC SYSTEMS
Accelerated Iterative Methods for Linear Systems
Dr. K. M. Singh · IIT Roorkee
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All the lectures
- General Introduction: Historical Background and Spectrum of Applications
- CFD: Simulation Process and Course Outline
- Conservation Laws and Mathematical Preliminaries
- Mass Conservation: Continuity Equation
- Momentum Equation: Newton’s 2nd Law
- Momentum Equation: Navier-Stokes Equations
- Navier-Stokes Equation and its Simplified Forms
- Energy and Scalar Transport Equations
- Scalar Transport, Mathematical Classification and Boundary Conditions
- Finite Difference Method: Methodology and Grid Notation
- Finite Difference Approximation of First Order Derivatives
- Finite Difference Approximation of Second Order Derivatives
- Finite Difference Approximation of Second Order Derivatives-2
- Approximation of Mixed Derivatives and Multi-Dimensional F.D. Formulae
- Implementation of Boundary Conditions and Finite Difference Algebraic System
- Applications of FDM to Scalar Transport Problems-1
- Applications of FDM to Scalar Transport Problems-2
- Application of FDM to Advection-Diffusion and Computer Implementation Aspects
- Computer Implementation of FDM for Steady State Heat Diffusion Problems
- Computer Implementation of FDM for Steady State Heat Diffusion Problems -2
- Computer Implementation of FDM for Steady State Heat Diffusion Problems -3
- Solution of Discrete Algebraic Systems
- Direct and Basic Iterative Methods for Linear Systems
- Accelerated Iterative Methods for Linear Systems
- Two Level and Multi-Level Methods for First Order IVPs
- Two Level and Multi-Level Methods for First Order IVPs-2
- Application to Unsteady Transport Problems
- Introduction to Finite Volume Method
- Finite Volume Interpolation Schemes
- Application of FVM to Scalar Transport
- Introduction to Finite Element Method
- Finite Element Shape Functions and Numerical Integration
- Finite Element Shape Functions and Numerical Integration-2
- Application of FEM to Scalar Transport
- Special Features of Navier-Stokes Equations
- Time Integration Techniques for Navier-Stokes Equations
- Implicit Pressure Correction Methods
- SIMPLEC, SIMPLER and Fractional Step Methods
- Turbulent Flows: Features and Simulation Strategies
- Reynolds Averaging and RANS Simulation Models
- RANS Turbulence Models and Large Eddy Simulation
- Introduction to Grid Generation
- Aspects of Practical CFD Analysis