NPTEL : NOC:Computational Fluid Dynamics for Incompressible Flows (Mechanical Engineering)

Co-ordinators : Prof. Amaresh Dalal


Lecture 1 - Applications of CFD

Lecture 2 - Basic equations of fluid dynamics and heat transfer

Lecture 3 - Initial and boundary conditions

Lecture 4 - Physical Classification, System of first-order PDEs

Lecture 5 - System of second-order PDEs

Lecture 6 - Finite difference by Taylor series expansion

Lecture 7 - Finite difference by general approximation and polynomials

Lecture 8 - Finite difference in non-uniform grid

Lecture 9 - Types of error and accuracy of FD solutions

Lecture 10 - Finite difference formulations of Elliptic Equations with boundary condition treatment

Lecture 11 - Iterative Methods

Lecture 12 - Applications

Lecture 13 - Linear Solvers

Lecture 14 - Finite difference formulations of Parabolic Equations

Lecture 15 - Finite difference formulations of Parabolic Equations: Implicit Methods

Lecture 16 - Finite difference formulations of Parabolic Equations: Unsteady Two-Dimensional Equation

Lecture 17 - Finite difference formulations of Parabolic Equations: Unsteady Three-Dimensional Equation

Lecture 18 - Finite difference formulations of the first order wave equation: Explicit Method

Lecture 19 - Finite difference formulations of the first order wave equation: Implicit Method

Lecture 20 - Von Neumann stability analysis of different schemes for Parabolic equations

Lecture 21 - Von Neumann stability analysis of different schemes for Parabolic equations

Lecture 22 - Von Neumann stability analysis of different schemes for Hyperbolic equations

Lecture 23 - Modified equation, Artificial viscosity, Numerical diffusion

Lecture 24 - Discretization vorticity-stream function equations using FDM

Lecture 25 - Boundary conditions for flow problems

Lecture 26 - Solutions of vorticity-stream function equations

Lecture 27 - Solution of Navier-Stokes Equation using FDM

Lecture 28 - Solution of Navier-Stokes Equation using FDM (Continued...)

Lecture 29 - Introduction to finite volume method

Lecture 30 - Finite volume discretization of steady diffusion equation

Lecture 31 - Finite volume discretization of unsteady diffusion equation

Lecture 32 - Finite volume discretization of steady convection-diffusion equation

Lecture 33 - Finite volume discretization of unsteady convection-diffusion equation

Lecture 34 - Convection Schemes

Lecture 35 - Solution of Navier-Stokes Equations using FVM - I

Lecture 36 - Solution of Navier-Stokes Equations using FVM - II

Lecture 37 - Boundary Conditions