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Course Co-ordinated by
IIT Kanpur
NPTEL
>> Mechanical Engineering >> Computational Fluid Dynamics and Heat Transfer (Web) >>
Finite Difference Method
Modules / Lectures
Introduction to Finite Difference Method and Fundamentals of CFD
Finite Difference Method
Elementary Finite Difference Quotients
Basic Aspects of Finite -Difference Equations
Consistency
Explicit and Implicit Methods
ADI Method
Errors and Stability Analysis
Stability of Hyperbolic and Elliptic Equations
Stability and Fluid Flow Modeling
Conservative Property
The upwind scheme
Second Upwind Differencing or Hybrid Scheme
Improvement of Discretization Schemes
Introduction to Finite Volume Method
The Basic Technique
A Generalized Approach for Finite Volume Methods
Finite Volume Discretization of Equations with Second Derivatives
Finite Volume Discretization of Equations with Second Derivatives(contd...)
Introduction to Finite Element Method
Introduction and Formulation
Formulation of Weighted Residual Method
Shape Functions and their Evaluation
More about Shape functions and their evaluation
Boundary Conditions and Other Important Issues
The unsteady problem
Vorticity Stream Function Approach for Solving Flow Problems
Vorticity-stream function approach for solving Navier-Stokes Equations
Boundary condition
Application to Curvilinear Geometries
Solution of Navier-Stokes Equations for Incompressible Flow Using SIMPLE and MAC Algorithms
Semi Implicit Method for Pressure Linked Equations (SIMPLE)
Semi Implicit Method for Pressure Linked Equations (SIMPLE) (contd...)
Solution Procedure
Two-dimensional system of equations and line-by-line TDMA
Solution of the unsteady Navier-Stokes Equations
MAC formulation
MAC formulation (contd...)
Boundary condition (contd...)
Numerical stability consideration
Solutions of Energy Equation
Solution of Navier-Stokes Equations in Curvilinear Coordinates
Overall Strategy for solving Flow Equations
Solution Procedure in curvilinear Coordinates
Scalar Transport
Interpolation Practices (Differencing Schemes)
Calculation of Pressure
Assignment
assignment1
assignment 2
assignment 3
assignment4.pdf
assignment 5
assignment 6
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