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Course Co-ordinated by
IIT Roorkee
NPTEL
>> Mechanical Engineering >> Computational Fluid Dynamics (Web) >>
General Introduction: Historical Background and Spectrum of Applications
Modules / Lectures
INTRODUCTION TO CFD
General Introduction: Historical Background and Spectrum of Applications
Numerical Simulation Process
Approximate Solution Techniques
MATHEMATICAL MODELING
Conservation Laws and Mathematical Preliminaries
Mass Conservation (Continuity Equation)
Conservation of Momentum (Newton’s Law and Cauchy Equation)
Navier-Stokes and Euler Equation
Energy Equation and Generalized Scalar Transport Equation
Mathematical Classification of PDEs
Boundary Conditions for Flow Problems
FINITE DIFFERENCE METHOD
Finite Difference Methodology, Grid Notation and Terminology
Finite Difference Approximation of First Order Derivatives
Finite Difference Approximation of Second Order Derivatives
Multi-dimensional and Mixed Derivatives; Boundary Conditions
Applications of FDM to Scalar Transport Problems
FINITE VOLUME METHOD
Finite Volume Solution Process and FV Grids
Approximation of Surface and Volume Integrals
Interpolation Schemes
Application of FVM to Scalar Transport Problems
FINITE ELEMENT METHOD
Finite Element Approximation and Weighted-residual Method
Variational Formulations
Shape Functions and Numerical Integration
Finite Element Analysis of Heat Conduction
SOLUTION OF ALGEBRAIC SYSTEMS
Solution of Discrete Algebraic Systems
Direct and Basic Iterative Methods for Linear Systems
Accelerated Iterative Methods for Linear Systems
TIME INTEGRATION TECHNIQUES
Two Level and Multi-Level Methods for First Order IVPs
Predictor-Corrector and Runge-Kutta Methods
Application to Unsteady Transport Problems
NUMERICAL GRID GENERATION
Classification of Grids and Grid Generation Process
Grid Generation Techniques
SOLUTION OF NAVIER STOKES EQUATIONS
Special Features of Navier-Stokes Equations
Explicit and Implicit Time Integration Techniques
Implicit Pressure Correction Methods (SIMPLE, SIMPLER, …)
Fractional Step Methods
NUMERICAL SIMULATION OF TURBULENT FLOWS
Features and Simulation Strategies
Reynolds Averaged Navier-Stokes Equations
RANS Turbulence Models
Large Eddy Simulation
EPILOGUE
Some Aspects of Real Life CFD Analysis
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